{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0001","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":-12,\"b\":-9,\"response\":-20}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-12, -9, -20, -21, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(-12, -9, -20, -21, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212001,"parameters":{"a":-12,"b":-9,"response":-20,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":-12,\"b\":-9,\"response\":-20}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0002","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":-11,\"b\":-7,\"response\":-18}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-11, -7, -18, -18, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-11, -7, -18, -18, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212002,"parameters":{"a":-11,"b":-7,"response":-18,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":-11,\"b\":-7,\"response\":-18}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0003","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":-10,\"b\":-5,\"response\":-15}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-10, -5, -15, -15, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-10, -5, -15, -15, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212003,"parameters":{"a":-10,"b":-5,"response":-15,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":-10,\"b\":-5,\"response\":-15}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0004","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":-9,\"b\":-3,\"response\":-11}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-9, -3, -11, -12, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(-9, -3, -11, -12, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212004,"parameters":{"a":-9,"b":-3,"response":-11,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":-9,\"b\":-3,\"response\":-11}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0005","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":-8,\"b\":-1,\"response\":-9}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-8, -1, -9, -9, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-8, -1, -9, -9, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212005,"parameters":{"a":-8,"b":-1,"response":-9,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":-8,\"b\":-1,\"response\":-9}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0006","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":-7,\"b\":1,\"response\":-6}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-7, 1, -6, -6, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-7, 1, -6, -6, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212006,"parameters":{"a":-7,"b":1,"response":-6,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":-7,\"b\":1,\"response\":-6}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0007","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":-6,\"b\":3,\"response\":-2}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-6, 3, -2, -3, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(-6, 3, -2, -3, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212007,"parameters":{"a":-6,"b":3,"response":-2,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":-6,\"b\":3,\"response\":-2}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0008","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":-5,\"b\":5,\"response\":0}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-5, 5, 0, 0, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-5, 5, 0, 0, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212008,"parameters":{"a":-5,"b":5,"response":0,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":-5,\"b\":5,\"response\":0}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0009","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":-4,\"b\":7,\"response\":3}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-4, 7, 3, 3, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-4, 7, 3, 3, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212009,"parameters":{"a":-4,"b":7,"response":3,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":-4,\"b\":7,\"response\":3}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0010","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":-3,\"b\":9,\"response\":7}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-3, 9, 7, 6, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(-3, 9, 7, 6, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212010,"parameters":{"a":-3,"b":9,"response":7,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":-3,\"b\":9,\"response\":7}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0011","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":-2,\"b\":11,\"response\":9}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-2, 11, 9, 9, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-2, 11, 9, 9, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212011,"parameters":{"a":-2,"b":11,"response":9,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":-2,\"b\":11,\"response\":9}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0012","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":-1,\"b\":13,\"response\":12}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-1, 13, 12, 12, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-1, 13, 12, 12, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212012,"parameters":{"a":-1,"b":13,"response":12,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":-1,\"b\":13,\"response\":12}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0013","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":0,\"b\":15,\"response\":16}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(0, 15, 16, 15, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(0, 15, 16, 15, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212013,"parameters":{"a":0,"b":15,"response":16,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":0,\"b\":15,\"response\":16}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0014","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":1,\"b\":17,\"response\":18}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(1, 17, 18, 18, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(1, 17, 18, 18, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212014,"parameters":{"a":1,"b":17,"response":18,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":1,\"b\":17,\"response\":18}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0015","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":2,\"b\":19,\"response\":21}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(2, 19, 21, 21, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(2, 19, 21, 21, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212015,"parameters":{"a":2,"b":19,"response":21,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":2,\"b\":19,\"response\":21}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0016","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":3,\"b\":21,\"response\":25}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(3, 21, 25, 24, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(3, 21, 25, 24, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212016,"parameters":{"a":3,"b":21,"response":25,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":3,\"b\":21,\"response\":25}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0017","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":4,\"b\":23,\"response\":27}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(4, 23, 27, 27, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(4, 23, 27, 27, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212017,"parameters":{"a":4,"b":23,"response":27,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":4,\"b\":23,\"response\":27}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0018","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":5,\"b\":25,\"response\":30}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(5, 25, 30, 30, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(5, 25, 30, 30, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212018,"parameters":{"a":5,"b":25,"response":30,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":5,\"b\":25,\"response\":30}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0019","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":6,\"b\":27,\"response\":34}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(6, 27, 34, 33, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(6, 27, 34, 33, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212019,"parameters":{"a":6,"b":27,"response":34,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":6,\"b\":27,\"response\":34}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0020","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":7,\"b\":29,\"response\":36}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(7, 29, 36, 36, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(7, 29, 36, 36, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212020,"parameters":{"a":7,"b":29,"response":36,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":7,\"b\":29,\"response\":36}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0021","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":8,\"b\":31,\"response\":39}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(8, 31, 39, 39, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(8, 31, 39, 39, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212021,"parameters":{"a":8,"b":31,"response":39,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":8,\"b\":31,\"response\":39}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0022","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":9,\"b\":33,\"response\":43}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(9, 33, 43, 42, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(9, 33, 43, 42, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212022,"parameters":{"a":9,"b":33,"response":43,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":9,\"b\":33,\"response\":43}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0023","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":10,\"b\":35,\"response\":45}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(10, 35, 45, 45, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(10, 35, 45, 45, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212023,"parameters":{"a":10,"b":35,"response":45,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":10,\"b\":35,\"response\":45}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0024","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":11,\"b\":37,\"response\":48}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(11, 37, 48, 48, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(11, 37, 48, 48, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212024,"parameters":{"a":11,"b":37,"response":48,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":11,\"b\":37,\"response\":48}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0025","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-integer-sum-record；資料={\"a\":12,\"b\":39,\"response\":52}。請依 [a,b,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(12, 39, 52, 51, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(12, 39, 52, 51, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-integer-sum-record","seed":202610212025,"parameters":{"a":12,"b":39,"response":52,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-integer-sum-record","semantic_template":"qf-app21-diagnostic-integer-sum-record/{\"a\":12,\"b\":39,\"response\":52}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0026","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":-8,\"q\":1,\"r\":-7,\"s\":1,\"response\":true}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-8, 1, -7, 1, -8, -7, 否, 是, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(-8, 1, -7, 1, -8, -7, 否, 是, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212026,"parameters":{"p":-8,"q":1,"r":-7,"s":1,"response":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":-8,\"q\":1,\"r\":-7,\"response\":true,\"s\":1}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0027","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":-7,\"q\":2,\"r\":-14,\"s\":2,\"response\":false}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-7, 2, -14, 2, -14, -28, 否, 否, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-7, 2, -14, 2, -14, -28, 否, 否, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212027,"parameters":{"p":-7,"q":2,"r":-14,"s":2,"response":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":-7,\"q\":2,\"r\":-14,\"response\":false,\"s\":2}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0028","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":-6,\"q\":3,\"r\":-17,\"s\":3,\"response\":false}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-6, 3, -17, 3, -18, -51, 否, 否, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-6, 3, -17, 3, -18, -51, 否, 否, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212028,"parameters":{"p":-6,"q":3,"r":-17,"s":3,"response":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":-6,\"q\":3,\"r\":-17,\"response\":false,\"s\":3}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0029","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":-5,\"q\":4,\"r\":-20,\"s\":4,\"response\":false}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-5, 4, -20, 4, -20, -80, 否, 否, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-5, 4, -20, 4, -20, -80, 否, 否, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212029,"parameters":{"p":-5,"q":4,"r":-20,"s":4,"response":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":-5,\"q\":4,\"r\":-20,\"response\":false,\"s\":4}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0030","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":-4,\"q\":5,\"r\":-19,\"s\":5,\"response\":true}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-4, 5, -19, 5, -20, -95, 否, 是, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(-4, 5, -19, 5, -20, -95, 否, 是, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212030,"parameters":{"p":-4,"q":5,"r":-19,"s":5,"response":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":-4,\"q\":5,\"r\":-19,\"response\":true,\"s\":5}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0031","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":-3,\"q\":1,\"r\":-18,\"s\":6,\"response\":true}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-3, 1, -18, 6, -18, -18, 是, 是, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-3, 1, -18, 6, -18, -18, 是, 是, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212031,"parameters":{"p":-3,"q":1,"r":-18,"s":6,"response":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":-3,\"q\":1,\"r\":-18,\"response\":true,\"s\":6}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0032","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":-2,\"q\":2,\"r\":-13,\"s\":7,\"response\":false}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-2, 2, -13, 7, -14, -26, 否, 否, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-2, 2, -13, 7, -14, -26, 否, 否, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212032,"parameters":{"p":-2,"q":2,"r":-13,"s":7,"response":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":-2,\"q\":2,\"r\":-13,\"response\":false,\"s\":7}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0033","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":-1,\"q\":3,\"r\":-1,\"s\":1,\"response\":false}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-1, 3, -1, 1, -1, -3, 否, 否, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-1, 3, -1, 1, -1, -3, 否, 否, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212033,"parameters":{"p":-1,"q":3,"r":-1,"s":1,"response":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":-1,\"q\":3,\"r\":-1,\"response\":false,\"s\":1}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0034","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":0,\"q\":4,\"r\":1,\"s\":2,\"response\":true}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(0, 4, 1, 2, 0, 4, 否, 是, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(0, 4, 1, 2, 0, 4, 否, 是, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212034,"parameters":{"p":0,"q":4,"r":1,"s":2,"response":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":0,\"q\":4,\"r\":1,\"response\":true,\"s\":2}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0035","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":1,\"q\":5,\"r\":3,\"s\":3,\"response\":false}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(1, 5, 3, 3, 3, 15, 否, 否, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(1, 5, 3, 3, 3, 15, 否, 否, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212035,"parameters":{"p":1,"q":5,"r":3,"s":3,"response":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":1,\"q\":5,\"r\":3,\"response\":false,\"s\":3}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0036","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":2,\"q\":1,\"r\":9,\"s\":4,\"response\":false}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(2, 1, 9, 4, 8, 9, 否, 否, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(2, 1, 9, 4, 8, 9, 否, 否, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212036,"parameters":{"p":2,"q":1,"r":9,"s":4,"response":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":2,\"q\":1,\"r\":9,\"response\":false,\"s\":4}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0037","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":3,\"q\":2,\"r\":15,\"s\":5,\"response\":false}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(3, 2, 15, 5, 15, 30, 否, 否, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(3, 2, 15, 5, 15, 30, 否, 否, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212037,"parameters":{"p":3,"q":2,"r":15,"s":5,"response":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":3,\"q\":2,\"r\":15,\"response\":false,\"s\":5}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0038","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":4,\"q\":3,\"r\":25,\"s\":6,\"response\":true}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(4, 3, 25, 6, 24, 75, 否, 是, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(4, 3, 25, 6, 24, 75, 否, 是, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212038,"parameters":{"p":4,"q":3,"r":25,"s":6,"response":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":4,\"q\":3,\"r\":25,\"response\":true,\"s\":6}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0039","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":5,\"q\":4,\"r\":35,\"s\":7,\"response\":false}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(5, 4, 35, 7, 35, 140, 否, 否, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(5, 4, 35, 7, 35, 140, 否, 否, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212039,"parameters":{"p":5,"q":4,"r":35,"s":7,"response":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":5,\"q\":4,\"r\":35,\"response\":false,\"s\":7}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0040","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":6,\"q\":5,\"r\":7,\"s\":1,\"response\":false}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(6, 5, 7, 1, 6, 35, 否, 否, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(6, 5, 7, 1, 6, 35, 否, 否, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212040,"parameters":{"p":6,"q":5,"r":7,"s":1,"response":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":6,\"q\":5,\"r\":7,\"response\":false,\"s\":1}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0041","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":7,\"q\":1,\"r\":14,\"s\":2,\"response\":true}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(7, 1, 14, 2, 14, 14, 是, 是, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(7, 1, 14, 2, 14, 14, 是, 是, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212041,"parameters":{"p":7,"q":1,"r":14,"s":2,"response":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":7,\"q\":1,\"r\":14,\"response\":true,\"s\":2}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0042","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":8,\"q\":2,\"r\":25,\"s\":3,\"response\":true}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(8, 2, 25, 3, 24, 50, 否, 是, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(8, 2, 25, 3, 24, 50, 否, 是, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212042,"parameters":{"p":8,"q":2,"r":25,"s":3,"response":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":8,\"q\":2,\"r\":25,\"response\":true,\"s\":3}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0043","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":9,\"q\":3,\"r\":36,\"s\":4,\"response\":false}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(9, 3, 36, 4, 36, 108, 否, 否, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(9, 3, 36, 4, 36, 108, 否, 否, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212043,"parameters":{"p":9,"q":3,"r":36,"s":4,"response":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":9,\"q\":3,\"r\":36,\"response\":false,\"s\":4}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0044","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":10,\"q\":4,\"r\":51,\"s\":5,\"response\":false}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(10, 4, 51, 5, 50, 204, 否, 否, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(10, 4, 51, 5, 50, 204, 否, 否, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212044,"parameters":{"p":10,"q":4,"r":51,"s":5,"response":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":10,\"q\":4,\"r\":51,\"response\":false,\"s\":5}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0045","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":11,\"q\":5,\"r\":66,\"s\":6,\"response\":false}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(11, 5, 66, 6, 66, 330, 否, 否, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(11, 5, 66, 6, 66, 330, 否, 否, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212045,"parameters":{"p":11,"q":5,"r":66,"s":6,"response":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":11,\"q\":5,\"r\":66,\"response\":false,\"s\":6}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0046","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":12,\"q\":1,\"r\":85,\"s\":7,\"response\":true}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(12, 1, 85, 7, 84, 85, 否, 是, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(12, 1, 85, 7, 84, 85, 否, 是, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212046,"parameters":{"p":12,"q":1,"r":85,"s":7,"response":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":12,\"q\":1,\"r\":85,\"response\":true,\"s\":7}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0047","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":13,\"q\":2,\"r\":13,\"s\":1,\"response\":false}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(13, 2, 13, 1, 13, 26, 否, 否, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(13, 2, 13, 1, 13, 26, 否, 否, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212047,"parameters":{"p":13,"q":2,"r":13,"s":1,"response":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":13,\"q\":2,\"r\":13,\"response\":false,\"s\":1}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0048","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":14,\"q\":3,\"r\":29,\"s\":2,\"response\":false}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(14, 3, 29, 2, 28, 87, 否, 否, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(14, 3, 29, 2, 28, 87, 否, 否, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212048,"parameters":{"p":14,"q":3,"r":29,"s":2,"response":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":14,\"q\":3,\"r\":29,\"response\":false,\"s\":2}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0049","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":15,\"q\":4,\"r\":45,\"s\":3,\"response\":false}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(15, 4, 45, 3, 45, 180, 否, 否, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(15, 4, 45, 3, 45, 180, 否, 否, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212049,"parameters":{"p":15,"q":4,"r":45,"s":3,"response":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":15,\"q\":4,\"r\":45,\"response\":false,\"s\":3}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0050","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-fraction-equivalence-record；資料={\"p\":16,\"q\":5,\"r\":65,\"s\":4,\"response\":true}。請依 [p,q,r,s,left_cross,right_cross,equivalent,response,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(16, 5, 65, 4, 64, 325, 否, 是, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(16, 5, 65, 4, 64, 325, 否, 是, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-fraction-equivalence-record","seed":202610212050,"parameters":{"p":16,"q":5,"r":65,"s":4,"response":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-fraction-equivalence-record","semantic_template":"qf-app21-diagnostic-fraction-equivalence-record/{\"p\":16,\"q\":5,\"r\":65,\"response\":true,\"s\":4}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0051","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":-3,\"b\":-11,\"x\":-2,\"response\":-6}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-3, -11, -2, -6, -5, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(-3, -11, -2, -6, -5, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212051,"parameters":{"a":-3,"b":-11,"x":-2,"response":-6,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":-3,\"b\":-11,\"response\":-6,\"x\":-2}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0052","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":-2,\"b\":-10,\"x\":-1,\"response\":-8}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-2, -10, -1, -8, -8, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-2, -10, -1, -8, -8, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212052,"parameters":{"a":-2,"b":-10,"x":-1,"response":-8,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":-2,\"b\":-10,\"response\":-8,\"x\":-1}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0053","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":-1,\"b\":-9,\"x\":0,\"response\":-9}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-1, -9, 0, -9, -9, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-1, -9, 0, -9, -9, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212053,"parameters":{"a":-1,"b":-9,"x":0,"response":-9,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":-1,\"b\":-9,\"response\":-9,\"x\":0}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0054","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":0,\"b\":-8,\"x\":1,\"response\":-9}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(0, -8, 1, -9, -8, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(0, -8, 1, -9, -8, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212054,"parameters":{"a":0,"b":-8,"x":1,"response":-9,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":0,\"b\":-8,\"response\":-9,\"x\":1}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0055","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":1,\"b\":-7,\"x\":2,\"response\":-5}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(1, -7, 2, -5, -5, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(1, -7, 2, -5, -5, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212055,"parameters":{"a":1,"b":-7,"x":2,"response":-5,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":1,\"b\":-7,\"response\":-5,\"x\":2}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0056","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":2,\"b\":-6,\"x\":-2,\"response\":-10}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(2, -6, -2, -10, -10, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(2, -6, -2, -10, -10, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212056,"parameters":{"a":2,"b":-6,"x":-2,"response":-10,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":2,\"b\":-6,\"response\":-10,\"x\":-2}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0057","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":3,\"b\":-5,\"x\":-1,\"response\":-9}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(3, -5, -1, -9, -8, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(3, -5, -1, -9, -8, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212057,"parameters":{"a":3,"b":-5,"x":-1,"response":-9,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":3,\"b\":-5,\"response\":-9,\"x\":-1}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0058","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":-3,\"b\":-4,\"x\":0,\"response\":-4}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-3, -4, 0, -4, -4, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-3, -4, 0, -4, -4, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212058,"parameters":{"a":-3,"b":-4,"x":0,"response":-4,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":-3,\"b\":-4,\"response\":-4,\"x\":0}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0059","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":-2,\"b\":-3,\"x\":1,\"response\":-5}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-2, -3, 1, -5, -5, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-2, -3, 1, -5, -5, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212059,"parameters":{"a":-2,"b":-3,"x":1,"response":-5,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":-2,\"b\":-3,\"response\":-5,\"x\":1}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0060","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":-1,\"b\":-2,\"x\":2,\"response\":-5}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-1, -2, 2, -5, -4, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(-1, -2, 2, -5, -4, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212060,"parameters":{"a":-1,"b":-2,"x":2,"response":-5,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":-1,\"b\":-2,\"response\":-5,\"x\":2}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0061","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":0,\"b\":-1,\"x\":-2,\"response\":-1}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(0, -1, -2, -1, -1, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(0, -1, -2, -1, -1, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212061,"parameters":{"a":0,"b":-1,"x":-2,"response":-1,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":0,\"b\":-1,\"response\":-1,\"x\":-2}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0062","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":1,\"b\":0,\"x\":-1,\"response\":-1}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(1, 0, -1, -1, -1, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(1, 0, -1, -1, -1, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212062,"parameters":{"a":1,"b":0,"x":-1,"response":-1,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":1,\"b\":0,\"response\":-1,\"x\":-1}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0063","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":2,\"b\":1,\"x\":0,\"response\":0}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(2, 1, 0, 0, 1, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(2, 1, 0, 0, 1, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212063,"parameters":{"a":2,"b":1,"x":0,"response":0,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":2,\"b\":1,\"response\":0,\"x\":0}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0064","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":3,\"b\":2,\"x\":1,\"response\":5}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(3, 2, 1, 5, 5, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(3, 2, 1, 5, 5, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212064,"parameters":{"a":3,"b":2,"x":1,"response":5,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":3,\"b\":2,\"response\":5,\"x\":1}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0065","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":-3,\"b\":3,\"x\":2,\"response\":-3}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-3, 3, 2, -3, -3, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-3, 3, 2, -3, -3, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212065,"parameters":{"a":-3,"b":3,"x":2,"response":-3,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":-3,\"b\":3,\"response\":-3,\"x\":2}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0066","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":-2,\"b\":4,\"x\":-2,\"response\":7}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-2, 4, -2, 7, 8, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(-2, 4, -2, 7, 8, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212066,"parameters":{"a":-2,"b":4,"x":-2,"response":7,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":-2,\"b\":4,\"response\":7,\"x\":-2}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0067","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":-1,\"b\":5,\"x\":-1,\"response\":6}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-1, 5, -1, 6, 6, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-1, 5, -1, 6, 6, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212067,"parameters":{"a":-1,"b":5,"x":-1,"response":6,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":-1,\"b\":5,\"response\":6,\"x\":-1}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0068","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":0,\"b\":6,\"x\":0,\"response\":6}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(0, 6, 0, 6, 6, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(0, 6, 0, 6, 6, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212068,"parameters":{"a":0,"b":6,"x":0,"response":6,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":0,\"b\":6,\"response\":6,\"x\":0}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0069","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":1,\"b\":7,\"x\":1,\"response\":7}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(1, 7, 1, 7, 8, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(1, 7, 1, 7, 8, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212069,"parameters":{"a":1,"b":7,"x":1,"response":7,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":1,\"b\":7,\"response\":7,\"x\":1}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0070","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":2,\"b\":8,\"x\":2,\"response\":12}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(2, 8, 2, 12, 12, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(2, 8, 2, 12, 12, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212070,"parameters":{"a":2,"b":8,"x":2,"response":12,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":2,\"b\":8,\"response\":12,\"x\":2}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0071","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":3,\"b\":9,\"x\":-2,\"response\":3}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(3, 9, -2, 3, 3, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(3, 9, -2, 3, 3, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212071,"parameters":{"a":3,"b":9,"x":-2,"response":3,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":3,\"b\":9,\"response\":3,\"x\":-2}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0072","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":-3,\"b\":10,\"x\":-1,\"response\":12}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-3, 10, -1, 12, 13, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(-3, 10, -1, 12, 13, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212072,"parameters":{"a":-3,"b":10,"x":-1,"response":12,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":-3,\"b\":10,\"response\":12,\"x\":-1}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0073","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":-2,\"b\":11,\"x\":0,\"response\":11}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-2, 11, 0, 11, 11, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-2, 11, 0, 11, 11, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212073,"parameters":{"a":-2,"b":11,"x":0,"response":11,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":-2,\"b\":11,\"response\":11,\"x\":0}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0074","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":-1,\"b\":12,\"x\":1,\"response\":11}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(-1, 12, 1, 11, 11, 是, matches_rule_expected)","explanation_zh":"應用擴展核對=(-1, 12, 1, 11, 11, 是, matches_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212074,"parameters":{"a":-1,"b":12,"x":1,"response":11,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":-1,\"b\":12,\"response\":11,\"x\":1}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0075","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-linear-substitution-record；資料={\"a\":0,\"b\":13,\"x\":2,\"response\":12}。請依 [a,b,x,response,expected,match,rule_code] 欄序回答。","answer":{"kind":"expression","value":"(0, 13, 2, 12, 13, 否, differs_from_rule_expected)","explanation_zh":"應用擴展核對=(0, 13, 2, 12, 13, 否, differs_from_rule_expected)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-linear-substitution-record","seed":202610212075,"parameters":{"a":0,"b":13,"x":2,"response":12,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-linear-substitution-record","semantic_template":"qf-app21-diagnostic-linear-substitution-record/{\"a\":0,\"b\":13,\"response\":12,\"x\":2}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0076","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-record-completeness；資料={\"item_id\":21000,\"prompt_present\":true,\"expected_present\":false,\"response_present\":false,\"rule_present\":false}。請依 [item_id,prompt,expected,response,rule,complete,status] 欄序回答。","answer":{"kind":"expression","value":"(21000, 是, 否, 否, 否, 否, synthetic_record_incomplete)","explanation_zh":"應用擴展核對=(21000, 是, 否, 否, 否, 否, synthetic_record_incomplete)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-record-completeness","seed":202610212076,"parameters":{"item_id":21000,"prompt_present":true,"expected_present":false,"response_present":false,"rule_present":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-record-completeness","semantic_template":"qf-app21-diagnostic-record-completeness/{\"expected_present\":false,\"item_id\":21000,\"prompt_present\":true,\"response_present\":false,\"rule_present\":false}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0077","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-record-completeness；資料={\"item_id\":21001,\"prompt_present\":true,\"expected_present\":true,\"response_present\":true,\"rule_present\":true}。請依 [item_id,prompt,expected,response,rule,complete,status] 欄序回答。","answer":{"kind":"expression","value":"(21001, 是, 是, 是, 是, 是, synthetic_record_complete)","explanation_zh":"應用擴展核對=(21001, 是, 是, 是, 是, 是, synthetic_record_complete)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-record-completeness","seed":202610212077,"parameters":{"item_id":21001,"prompt_present":true,"expected_present":true,"response_present":true,"rule_present":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-record-completeness","semantic_template":"qf-app21-diagnostic-record-completeness/{\"expected_present\":true,\"item_id\":21001,\"prompt_present\":true,\"response_present\":true,\"rule_present\":true}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0078","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-record-completeness；資料={\"item_id\":21002,\"prompt_present\":true,\"expected_present\":true,\"response_present\":true,\"rule_present\":true}。請依 [item_id,prompt,expected,response,rule,complete,status] 欄序回答。","answer":{"kind":"expression","value":"(21002, 是, 是, 是, 是, 是, synthetic_record_complete)","explanation_zh":"應用擴展核對=(21002, 是, 是, 是, 是, 是, synthetic_record_complete)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-record-completeness","seed":202610212078,"parameters":{"item_id":21002,"prompt_present":true,"expected_present":true,"response_present":true,"rule_present":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-record-completeness","semantic_template":"qf-app21-diagnostic-record-completeness/{\"expected_present\":true,\"item_id\":21002,\"prompt_present\":true,\"response_present\":true,\"rule_present\":true}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0079","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-record-completeness；資料={\"item_id\":21003,\"prompt_present\":true,\"expected_present\":true,\"response_present\":true,\"rule_present\":false}。請依 [item_id,prompt,expected,response,rule,complete,status] 欄序回答。","answer":{"kind":"expression","value":"(21003, 是, 是, 是, 否, 否, synthetic_record_incomplete)","explanation_zh":"應用擴展核對=(21003, 是, 是, 是, 否, 否, synthetic_record_incomplete)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-record-completeness","seed":202610212079,"parameters":{"item_id":21003,"prompt_present":true,"expected_present":true,"response_present":true,"rule_present":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-record-completeness","semantic_template":"qf-app21-diagnostic-record-completeness/{\"expected_present\":true,\"item_id\":21003,\"prompt_present\":true,\"response_present\":true,\"rule_present\":false}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0080","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-record-completeness；資料={\"item_id\":21004,\"prompt_present\":true,\"expected_present\":true,\"response_present\":false,\"rule_present\":true}。請依 [item_id,prompt,expected,response,rule,complete,status] 欄序回答。","answer":{"kind":"expression","value":"(21004, 是, 是, 否, 是, 否, synthetic_record_incomplete)","explanation_zh":"應用擴展核對=(21004, 是, 是, 否, 是, 否, synthetic_record_incomplete)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-record-completeness","seed":202610212080,"parameters":{"item_id":21004,"prompt_present":true,"expected_present":true,"response_present":false,"rule_present":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-record-completeness","semantic_template":"qf-app21-diagnostic-record-completeness/{\"expected_present\":true,\"item_id\":21004,\"prompt_present\":true,\"response_present\":false,\"rule_present\":true}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0081","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-record-completeness；資料={\"item_id\":21005,\"prompt_present\":true,\"expected_present\":false,\"response_present\":true,\"rule_present\":true}。請依 [item_id,prompt,expected,response,rule,complete,status] 欄序回答。","answer":{"kind":"expression","value":"(21005, 是, 否, 是, 是, 否, synthetic_record_incomplete)","explanation_zh":"應用擴展核對=(21005, 是, 否, 是, 是, 否, synthetic_record_incomplete)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-record-completeness","seed":202610212081,"parameters":{"item_id":21005,"prompt_present":true,"expected_present":false,"response_present":true,"rule_present":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-record-completeness","semantic_template":"qf-app21-diagnostic-record-completeness/{\"expected_present\":false,\"item_id\":21005,\"prompt_present\":true,\"response_present\":true,\"rule_present\":true}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0082","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-record-completeness；資料={\"item_id\":21006,\"prompt_present\":true,\"expected_present\":true,\"response_present\":true,\"rule_present\":false}。請依 [item_id,prompt,expected,response,rule,complete,status] 欄序回答。","answer":{"kind":"expression","value":"(21006, 是, 是, 是, 否, 否, synthetic_record_incomplete)","explanation_zh":"應用擴展核對=(21006, 是, 是, 是, 否, 否, synthetic_record_incomplete)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-record-completeness","seed":202610212082,"parameters":{"item_id":21006,"prompt_present":true,"expected_present":true,"response_present":true,"rule_present":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-record-completeness","semantic_template":"qf-app21-diagnostic-record-completeness/{\"expected_present\":true,\"item_id\":21006,\"prompt_present\":true,\"response_present\":true,\"rule_present\":false}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
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{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0087","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-record-completeness；資料={\"item_id\":21011,\"prompt_present\":true,\"expected_present\":true,\"response_present\":true,\"rule_present\":true}。請依 [item_id,prompt,expected,response,rule,complete,status] 欄序回答。","answer":{"kind":"expression","value":"(21011, 是, 是, 是, 是, 是, synthetic_record_complete)","explanation_zh":"應用擴展核對=(21011, 是, 是, 是, 是, 是, synthetic_record_complete)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-record-completeness","seed":202610212087,"parameters":{"item_id":21011,"prompt_present":true,"expected_present":true,"response_present":true,"rule_present":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-record-completeness","semantic_template":"qf-app21-diagnostic-record-completeness/{\"expected_present\":true,\"item_id\":21011,\"prompt_present\":true,\"response_present\":true,\"rule_present\":true}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
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{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0096","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-record-completeness；資料={\"item_id\":21020,\"prompt_present\":true,\"expected_present\":false,\"response_present\":false,\"rule_present\":true}。請依 [item_id,prompt,expected,response,rule,complete,status] 欄序回答。","answer":{"kind":"expression","value":"(21020, 是, 否, 否, 是, 否, synthetic_record_incomplete)","explanation_zh":"應用擴展核對=(21020, 是, 否, 否, 是, 否, synthetic_record_incomplete)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-record-completeness","seed":202610212096,"parameters":{"item_id":21020,"prompt_present":true,"expected_present":false,"response_present":false,"rule_present":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-record-completeness","semantic_template":"qf-app21-diagnostic-record-completeness/{\"expected_present\":false,\"item_id\":21020,\"prompt_present\":true,\"response_present\":false,\"rule_present\":true}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0097","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-record-completeness；資料={\"item_id\":21021,\"prompt_present\":true,\"expected_present\":true,\"response_present\":true,\"rule_present\":false}。請依 [item_id,prompt,expected,response,rule,complete,status] 欄序回答。","answer":{"kind":"expression","value":"(21021, 是, 是, 是, 否, 否, synthetic_record_incomplete)","explanation_zh":"應用擴展核對=(21021, 是, 是, 是, 否, 否, synthetic_record_incomplete)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-record-completeness","seed":202610212097,"parameters":{"item_id":21021,"prompt_present":true,"expected_present":true,"response_present":true,"rule_present":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-record-completeness","semantic_template":"qf-app21-diagnostic-record-completeness/{\"expected_present\":true,\"item_id\":21021,\"prompt_present\":true,\"response_present\":true,\"rule_present\":false}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0098","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-record-completeness；資料={\"item_id\":21022,\"prompt_present\":true,\"expected_present\":true,\"response_present\":true,\"rule_present\":true}。請依 [item_id,prompt,expected,response,rule,complete,status] 欄序回答。","answer":{"kind":"expression","value":"(21022, 是, 是, 是, 是, 是, synthetic_record_complete)","explanation_zh":"應用擴展核對=(21022, 是, 是, 是, 是, 是, synthetic_record_complete)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-record-completeness","seed":202610212098,"parameters":{"item_id":21022,"prompt_present":true,"expected_present":true,"response_present":true,"rule_present":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-record-completeness","semantic_template":"qf-app21-diagnostic-record-completeness/{\"expected_present\":true,\"item_id\":21022,\"prompt_present\":true,\"response_present\":true,\"rule_present\":true}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0099","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-record-completeness；資料={\"item_id\":21023,\"prompt_present\":true,\"expected_present\":true,\"response_present\":true,\"rule_present\":true}。請依 [item_id,prompt,expected,response,rule,complete,status] 欄序回答。","answer":{"kind":"expression","value":"(21023, 是, 是, 是, 是, 是, synthetic_record_complete)","explanation_zh":"應用擴展核對=(21023, 是, 是, 是, 是, 是, synthetic_record_complete)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-record-completeness","seed":202610212099,"parameters":{"item_id":21023,"prompt_present":true,"expected_present":true,"response_present":true,"rule_present":true,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-record-completeness","semantic_template":"qf-app21-diagnostic-record-completeness/{\"expected_present\":true,\"item_id\":21023,\"prompt_present\":true,\"response_present\":true,\"rule_present\":true}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0100","batch_id":"batch-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-foundations","language":"zh-Hant","source_mko_ids":["mko-diagnostic-mathematical-assessment"],"title_zh":"合成診斷記錄","stem_zh":"合成作答紀錄與明示規則。操作=diagnostic-record-completeness；資料={\"item_id\":21024,\"prompt_present\":true,\"expected_present\":true,\"response_present\":false,\"rule_present\":false}。請依 [item_id,prompt,expected,response,rule,complete,status] 欄序回答。","answer":{"kind":"expression","value":"(21024, 是, 是, 否, 否, 否, synthetic_record_incomplete)","explanation_zh":"應用擴展核對=(21024, 是, 是, 否, 否, 否, synthetic_record_incomplete)；依完整明示資料重算；完整明示的有限／精確切片不是一般定理或人員判定；只記錄規則符合狀態；不診斷真實學生或學習效果。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["合成診斷記錄"]},"variant":{"family_id":"qf-app21-diagnostic-record-completeness","seed":202610212100,"parameters":{"item_id":21024,"prompt_present":true,"expected_present":true,"response_present":false,"rule_present":false,"domain":"Synthetic_rule_diagnostic_record","operation":"diagnostic-record-completeness","semantic_template":"qf-app21-diagnostic-record-completeness/{\"expected_present\":true,\"item_id\":21024,\"prompt_present\":true,\"response_present\":false,\"rule_present\":false}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"僅為產生端候選及自檢；主端須另驗，不構成人工審定、一般定理、真實學生診斷、經驗預測、Lean執行或形式Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-13","contract_version":"ocme-question-factory-v0.1"}}