{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0001","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(-2,-2) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"第三象限","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為第三象限；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307001,"parameters":{"operation":"location","x":-2,"y":-2,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":-2,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0002","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(-2,-1) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"第三象限","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為第三象限；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307002,"parameters":{"operation":"location","x":-2,"y":-1,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":-2,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0003","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(-2,0) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"x 軸","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為x 軸；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307003,"parameters":{"operation":"location","x":-2,"y":0,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":-2,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0004","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(-2,1) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"第二象限","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為第二象限；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307004,"parameters":{"operation":"location","x":-2,"y":1,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":-2,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0005","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(-2,2) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"第二象限","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為第二象限；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307005,"parameters":{"operation":"location","x":-2,"y":2,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":-2,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0006","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(-1,-2) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"第三象限","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為第三象限；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307006,"parameters":{"operation":"location","x":-1,"y":-2,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":-1,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0007","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(-1,-1) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"第三象限","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為第三象限；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307007,"parameters":{"operation":"location","x":-1,"y":-1,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":-1,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0008","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(-1,0) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"x 軸","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為x 軸；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307008,"parameters":{"operation":"location","x":-1,"y":0,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":-1,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0009","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(-1,1) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"第二象限","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為第二象限；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307009,"parameters":{"operation":"location","x":-1,"y":1,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":-1,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0010","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(-1,2) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"第二象限","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為第二象限；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307010,"parameters":{"operation":"location","x":-1,"y":2,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":-1,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0011","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(0,-2) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"y 軸","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為y 軸；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307011,"parameters":{"operation":"location","x":0,"y":-2,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":0,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0012","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(0,-1) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"y 軸","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為y 軸；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307012,"parameters":{"operation":"location","x":0,"y":-1,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":0,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0013","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(0,0) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"原點","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為原點；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307013,"parameters":{"operation":"location","x":0,"y":0,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":0,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0014","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(0,1) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"y 軸","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為y 軸；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307014,"parameters":{"operation":"location","x":0,"y":1,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":0,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0015","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(0,2) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"y 軸","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為y 軸；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307015,"parameters":{"operation":"location","x":0,"y":2,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":0,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0016","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(1,-2) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"第四象限","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為第四象限；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307016,"parameters":{"operation":"location","x":1,"y":-2,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":1,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0017","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(1,-1) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"第四象限","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為第四象限；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307017,"parameters":{"operation":"location","x":1,"y":-1,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":1,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0018","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(1,0) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"x 軸","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為x 軸；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307018,"parameters":{"operation":"location","x":1,"y":0,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":1,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0019","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(1,1) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"第一象限","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為第一象限；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307019,"parameters":{"operation":"location","x":1,"y":1,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":1,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0020","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(1,2) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"第一象限","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為第一象限；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307020,"parameters":{"operation":"location","x":1,"y":2,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":1,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0021","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(2,-2) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"第四象限","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為第四象限；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307021,"parameters":{"operation":"location","x":2,"y":-2,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":2,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0022","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(2,-1) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"第四象限","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為第四象限；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307022,"parameters":{"operation":"location","x":2,"y":-1,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":2,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0023","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(2,0) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"x 軸","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為x 軸；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307023,"parameters":{"operation":"location","x":2,"y":0,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":2,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0024","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(2,1) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"第一象限","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為第一象限；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307024,"parameters":{"operation":"location","x":2,"y":1,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":2,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-location-0025","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的位置分類","stem_zh":"在同一明示平面直角座標系中，點 P=(2,2) 位於哪個象限、哪條軸或原點？軸上的點不屬於象限。","answer":{"kind":"short_text","value":"第一象限","explanation_zh":"檢查兩個座標是否為零及各自符號，P 的位置為第一象限；原點同時在兩條軸上。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["座標符號","軸與象限"]},"variant":{"family_id":"qf-coordinate-location","seed":202609307025,"parameters":{"operation":"location","x":2,"y":2,"semantic_template":"qf-coordinate-location/{\"operation\":\"location\",\"x\":2,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0001","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(-2,-2) 是否在 x 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"x 軸的條件是 y=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307101,"parameters":{"operation":"axis_membership","x":-2,"y":-2,"axis":"x","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"x\",\"operation\":\"axis_membership\",\"x\":-2,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0002","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(-2,-1) 是否在 y 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"y 軸的條件是 x=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307102,"parameters":{"operation":"axis_membership","x":-2,"y":-1,"axis":"y","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"y\",\"operation\":\"axis_membership\",\"x\":-2,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0003","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(-2,0) 是否在 x 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"是","explanation_zh":"x 軸的條件是 y=0；逐座標檢查後答案為是。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307103,"parameters":{"operation":"axis_membership","x":-2,"y":0,"axis":"x","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"x\",\"operation\":\"axis_membership\",\"x\":-2,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0004","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(-2,1) 是否在 y 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"y 軸的條件是 x=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307104,"parameters":{"operation":"axis_membership","x":-2,"y":1,"axis":"y","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"y\",\"operation\":\"axis_membership\",\"x\":-2,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0005","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(-2,2) 是否在 x 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"x 軸的條件是 y=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307105,"parameters":{"operation":"axis_membership","x":-2,"y":2,"axis":"x","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"x\",\"operation\":\"axis_membership\",\"x\":-2,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0006","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(-1,-2) 是否在 y 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"y 軸的條件是 x=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307106,"parameters":{"operation":"axis_membership","x":-1,"y":-2,"axis":"y","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"y\",\"operation\":\"axis_membership\",\"x\":-1,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0007","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(-1,-1) 是否在 x 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"x 軸的條件是 y=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307107,"parameters":{"operation":"axis_membership","x":-1,"y":-1,"axis":"x","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"x\",\"operation\":\"axis_membership\",\"x\":-1,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0008","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(-1,0) 是否在 y 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"y 軸的條件是 x=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307108,"parameters":{"operation":"axis_membership","x":-1,"y":0,"axis":"y","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"y\",\"operation\":\"axis_membership\",\"x\":-1,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0009","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(-1,1) 是否在 x 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"x 軸的條件是 y=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307109,"parameters":{"operation":"axis_membership","x":-1,"y":1,"axis":"x","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"x\",\"operation\":\"axis_membership\",\"x\":-1,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0010","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(-1,2) 是否在 y 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"y 軸的條件是 x=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307110,"parameters":{"operation":"axis_membership","x":-1,"y":2,"axis":"y","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"y\",\"operation\":\"axis_membership\",\"x\":-1,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0011","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(0,-2) 是否在 x 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"x 軸的條件是 y=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307111,"parameters":{"operation":"axis_membership","x":0,"y":-2,"axis":"x","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"x\",\"operation\":\"axis_membership\",\"x\":0,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0012","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(0,-1) 是否在 y 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"是","explanation_zh":"y 軸的條件是 x=0；逐座標檢查後答案為是。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307112,"parameters":{"operation":"axis_membership","x":0,"y":-1,"axis":"y","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"y\",\"operation\":\"axis_membership\",\"x\":0,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0013","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(0,0) 是否在 x 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"是","explanation_zh":"x 軸的條件是 y=0；逐座標檢查後答案為是。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307113,"parameters":{"operation":"axis_membership","x":0,"y":0,"axis":"x","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"x\",\"operation\":\"axis_membership\",\"x\":0,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0014","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(0,1) 是否在 y 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"是","explanation_zh":"y 軸的條件是 x=0；逐座標檢查後答案為是。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307114,"parameters":{"operation":"axis_membership","x":0,"y":1,"axis":"y","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"y\",\"operation\":\"axis_membership\",\"x\":0,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0015","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(0,2) 是否在 x 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"x 軸的條件是 y=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307115,"parameters":{"operation":"axis_membership","x":0,"y":2,"axis":"x","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"x\",\"operation\":\"axis_membership\",\"x\":0,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0016","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(1,-2) 是否在 y 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"y 軸的條件是 x=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307116,"parameters":{"operation":"axis_membership","x":1,"y":-2,"axis":"y","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"y\",\"operation\":\"axis_membership\",\"x\":1,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0017","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(1,-1) 是否在 x 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"x 軸的條件是 y=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307117,"parameters":{"operation":"axis_membership","x":1,"y":-1,"axis":"x","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"x\",\"operation\":\"axis_membership\",\"x\":1,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0018","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(1,0) 是否在 y 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"y 軸的條件是 x=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307118,"parameters":{"operation":"axis_membership","x":1,"y":0,"axis":"y","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"y\",\"operation\":\"axis_membership\",\"x\":1,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0019","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(1,1) 是否在 x 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"x 軸的條件是 y=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307119,"parameters":{"operation":"axis_membership","x":1,"y":1,"axis":"x","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"x\",\"operation\":\"axis_membership\",\"x\":1,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0020","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(1,2) 是否在 y 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"y 軸的條件是 x=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307120,"parameters":{"operation":"axis_membership","x":1,"y":2,"axis":"y","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"y\",\"operation\":\"axis_membership\",\"x\":1,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0021","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(2,-2) 是否在 x 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"x 軸的條件是 y=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307121,"parameters":{"operation":"axis_membership","x":2,"y":-2,"axis":"x","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"x\",\"operation\":\"axis_membership\",\"x\":2,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0022","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(2,-1) 是否在 y 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"y 軸的條件是 x=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307122,"parameters":{"operation":"axis_membership","x":2,"y":-1,"axis":"y","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"y\",\"operation\":\"axis_membership\",\"x\":2,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0023","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(2,0) 是否在 x 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"是","explanation_zh":"x 軸的條件是 y=0；逐座標檢查後答案為是。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307123,"parameters":{"operation":"axis_membership","x":2,"y":0,"axis":"x","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"x\",\"operation\":\"axis_membership\",\"x\":2,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0024","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(2,1) 是否在 y 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"y 軸的條件是 x=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307124,"parameters":{"operation":"axis_membership","x":2,"y":1,"axis":"y","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"y\",\"operation\":\"axis_membership\",\"x\":2,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-axis-membership-0025","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"座標點的軸隸屬","stem_zh":"在同一明示平面直角座標系中，點 P=(2,2) 是否在 x 軸上？回答是或否；原點可同時屬於兩軸。","answer":{"kind":"short_text","value":"否","explanation_zh":"x 軸的條件是 y=0；逐座標檢查後答案為否。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["零座標","原點邊界"]},"variant":{"family_id":"qf-coordinate-axis-membership","seed":202609307125,"parameters":{"operation":"axis_membership","x":2,"y":2,"axis":"x","semantic_template":"qf-coordinate-axis-membership/{\"axis\":\"x\",\"operation\":\"axis_membership\",\"x\":2,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0001","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(-2,-2) 的 x 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"-2","explanation_zh":"第一個分量是 -2，所以 x 座標為 -2。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307201,"parameters":{"operation":"component","x":-2,"y":-2,"component":"x","semantic_template":"qf-coordinate-component/{\"component\":\"x\",\"operation\":\"component\",\"x\":-2,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0002","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(-2,-1) 的 y 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"-1","explanation_zh":"第二個分量是 -1，所以 y 座標為 -1。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307202,"parameters":{"operation":"component","x":-2,"y":-1,"component":"y","semantic_template":"qf-coordinate-component/{\"component\":\"y\",\"operation\":\"component\",\"x\":-2,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0003","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(-2,0) 的 x 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"-2","explanation_zh":"第一個分量是 -2，所以 x 座標為 -2。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307203,"parameters":{"operation":"component","x":-2,"y":0,"component":"x","semantic_template":"qf-coordinate-component/{\"component\":\"x\",\"operation\":\"component\",\"x\":-2,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0004","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(-2,1) 的 y 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"1","explanation_zh":"第二個分量是 1，所以 y 座標為 1。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307204,"parameters":{"operation":"component","x":-2,"y":1,"component":"y","semantic_template":"qf-coordinate-component/{\"component\":\"y\",\"operation\":\"component\",\"x\":-2,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0005","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(-2,2) 的 x 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"-2","explanation_zh":"第一個分量是 -2，所以 x 座標為 -2。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307205,"parameters":{"operation":"component","x":-2,"y":2,"component":"x","semantic_template":"qf-coordinate-component/{\"component\":\"x\",\"operation\":\"component\",\"x\":-2,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0006","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(-1,-2) 的 y 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"-2","explanation_zh":"第二個分量是 -2，所以 y 座標為 -2。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307206,"parameters":{"operation":"component","x":-1,"y":-2,"component":"y","semantic_template":"qf-coordinate-component/{\"component\":\"y\",\"operation\":\"component\",\"x\":-1,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0007","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(-1,-1) 的 x 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"-1","explanation_zh":"第一個分量是 -1，所以 x 座標為 -1。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307207,"parameters":{"operation":"component","x":-1,"y":-1,"component":"x","semantic_template":"qf-coordinate-component/{\"component\":\"x\",\"operation\":\"component\",\"x\":-1,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0008","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(-1,0) 的 y 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"0","explanation_zh":"第二個分量是 0，所以 y 座標為 0。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307208,"parameters":{"operation":"component","x":-1,"y":0,"component":"y","semantic_template":"qf-coordinate-component/{\"component\":\"y\",\"operation\":\"component\",\"x\":-1,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0009","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(-1,1) 的 x 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"-1","explanation_zh":"第一個分量是 -1，所以 x 座標為 -1。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307209,"parameters":{"operation":"component","x":-1,"y":1,"component":"x","semantic_template":"qf-coordinate-component/{\"component\":\"x\",\"operation\":\"component\",\"x\":-1,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0010","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(-1,2) 的 y 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"2","explanation_zh":"第二個分量是 2，所以 y 座標為 2。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307210,"parameters":{"operation":"component","x":-1,"y":2,"component":"y","semantic_template":"qf-coordinate-component/{\"component\":\"y\",\"operation\":\"component\",\"x\":-1,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0011","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(0,-2) 的 x 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"0","explanation_zh":"第一個分量是 0，所以 x 座標為 0。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307211,"parameters":{"operation":"component","x":0,"y":-2,"component":"x","semantic_template":"qf-coordinate-component/{\"component\":\"x\",\"operation\":\"component\",\"x\":0,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0012","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(0,-1) 的 y 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"-1","explanation_zh":"第二個分量是 -1，所以 y 座標為 -1。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307212,"parameters":{"operation":"component","x":0,"y":-1,"component":"y","semantic_template":"qf-coordinate-component/{\"component\":\"y\",\"operation\":\"component\",\"x\":0,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0013","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(0,0) 的 x 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"0","explanation_zh":"第一個分量是 0，所以 x 座標為 0。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307213,"parameters":{"operation":"component","x":0,"y":0,"component":"x","semantic_template":"qf-coordinate-component/{\"component\":\"x\",\"operation\":\"component\",\"x\":0,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0014","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(0,1) 的 y 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"1","explanation_zh":"第二個分量是 1，所以 y 座標為 1。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307214,"parameters":{"operation":"component","x":0,"y":1,"component":"y","semantic_template":"qf-coordinate-component/{\"component\":\"y\",\"operation\":\"component\",\"x\":0,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0015","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(0,2) 的 x 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"0","explanation_zh":"第一個分量是 0，所以 x 座標為 0。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307215,"parameters":{"operation":"component","x":0,"y":2,"component":"x","semantic_template":"qf-coordinate-component/{\"component\":\"x\",\"operation\":\"component\",\"x\":0,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0016","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(1,-2) 的 y 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"-2","explanation_zh":"第二個分量是 -2，所以 y 座標為 -2。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307216,"parameters":{"operation":"component","x":1,"y":-2,"component":"y","semantic_template":"qf-coordinate-component/{\"component\":\"y\",\"operation\":\"component\",\"x\":1,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0017","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(1,-1) 的 x 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"1","explanation_zh":"第一個分量是 1，所以 x 座標為 1。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307217,"parameters":{"operation":"component","x":1,"y":-1,"component":"x","semantic_template":"qf-coordinate-component/{\"component\":\"x\",\"operation\":\"component\",\"x\":1,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0018","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(1,0) 的 y 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"0","explanation_zh":"第二個分量是 0，所以 y 座標為 0。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307218,"parameters":{"operation":"component","x":1,"y":0,"component":"y","semantic_template":"qf-coordinate-component/{\"component\":\"y\",\"operation\":\"component\",\"x\":1,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0019","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(1,1) 的 x 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"1","explanation_zh":"第一個分量是 1，所以 x 座標為 1。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307219,"parameters":{"operation":"component","x":1,"y":1,"component":"x","semantic_template":"qf-coordinate-component/{\"component\":\"x\",\"operation\":\"component\",\"x\":1,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0020","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(1,2) 的 y 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"2","explanation_zh":"第二個分量是 2，所以 y 座標為 2。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307220,"parameters":{"operation":"component","x":1,"y":2,"component":"y","semantic_template":"qf-coordinate-component/{\"component\":\"y\",\"operation\":\"component\",\"x\":1,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0021","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(2,-2) 的 x 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"2","explanation_zh":"第一個分量是 2，所以 x 座標為 2。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307221,"parameters":{"operation":"component","x":2,"y":-2,"component":"x","semantic_template":"qf-coordinate-component/{\"component\":\"x\",\"operation\":\"component\",\"x\":2,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0022","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(2,-1) 的 y 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"-1","explanation_zh":"第二個分量是 -1，所以 y 座標為 -1。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307222,"parameters":{"operation":"component","x":2,"y":-1,"component":"y","semantic_template":"qf-coordinate-component/{\"component\":\"y\",\"operation\":\"component\",\"x\":2,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0023","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(2,0) 的 x 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"2","explanation_zh":"第一個分量是 2，所以 x 座標為 2。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307223,"parameters":{"operation":"component","x":2,"y":0,"component":"x","semantic_template":"qf-coordinate-component/{\"component\":\"x\",\"operation\":\"component\",\"x\":2,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0024","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(2,1) 的 y 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"1","explanation_zh":"第二個分量是 1，所以 y 座標為 1。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307224,"parameters":{"operation":"component","x":2,"y":1,"component":"y","semantic_template":"qf-coordinate-component/{\"component\":\"y\",\"operation\":\"component\",\"x\":2,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-component-0025","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"有序座標的分量","stem_zh":"在同一明示平面直角座標系中，點 P=(2,2) 的 x 座標為何？按有序對 (x,y) 回答。","answer":{"kind":"short_text","value":"2","explanation_zh":"第一個分量是 2，所以 x 座標為 2。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["有序對","座標角色"]},"variant":{"family_id":"qf-coordinate-component","seed":202609307225,"parameters":{"operation":"component","x":2,"y":2,"component":"x","semantic_template":"qf-coordinate-component/{\"component\":\"x\",\"operation\":\"component\",\"x\":2,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0001","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(-2,-2) 與 Q=(-2,-2) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"是","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為是。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307301,"parameters":{"operation":"point_equality","x":-2,"y":-2,"u":-2,"v":-2,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":-2,\"v\":-2,\"x\":-2,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0002","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(-2,-1) 與 Q=(-1,-1) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"否","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為否。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307302,"parameters":{"operation":"point_equality","x":-2,"y":-1,"u":-1,"v":-1,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":-1,\"v\":-1,\"x\":-2,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0003","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(-2,0) 與 Q=(-2,0) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"是","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為是。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307303,"parameters":{"operation":"point_equality","x":-2,"y":0,"u":-2,"v":0,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":-2,\"v\":0,\"x\":-2,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0004","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(-2,1) 與 Q=(-2,2) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"否","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為否。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307304,"parameters":{"operation":"point_equality","x":-2,"y":1,"u":-2,"v":2,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":-2,\"v\":2,\"x\":-2,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0005","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(-2,2) 與 Q=(-2,2) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"是","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為是。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307305,"parameters":{"operation":"point_equality","x":-2,"y":2,"u":-2,"v":2,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":-2,\"v\":2,\"x\":-2,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0006","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(-1,-2) 與 Q=(0,-2) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"否","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為否。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307306,"parameters":{"operation":"point_equality","x":-1,"y":-2,"u":0,"v":-2,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":0,\"v\":-2,\"x\":-1,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0007","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(-1,-1) 與 Q=(-1,-1) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"是","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為是。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307307,"parameters":{"operation":"point_equality","x":-1,"y":-1,"u":-1,"v":-1,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":-1,\"v\":-1,\"x\":-1,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0008","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(-1,0) 與 Q=(0,0) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"否","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為否。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307308,"parameters":{"operation":"point_equality","x":-1,"y":0,"u":0,"v":0,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":0,\"v\":0,\"x\":-1,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0009","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(-1,1) 與 Q=(-1,1) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"是","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為是。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307309,"parameters":{"operation":"point_equality","x":-1,"y":1,"u":-1,"v":1,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":-1,\"v\":1,\"x\":-1,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0010","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(-1,2) 與 Q=(-1,3) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"否","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為否。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307310,"parameters":{"operation":"point_equality","x":-1,"y":2,"u":-1,"v":3,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":-1,\"v\":3,\"x\":-1,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0011","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(0,-2) 與 Q=(0,-2) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"是","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為是。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307311,"parameters":{"operation":"point_equality","x":0,"y":-2,"u":0,"v":-2,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":0,\"v\":-2,\"x\":0,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0012","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(0,-1) 與 Q=(1,-1) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"否","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為否。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307312,"parameters":{"operation":"point_equality","x":0,"y":-1,"u":1,"v":-1,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":1,\"v\":-1,\"x\":0,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0013","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(0,0) 與 Q=(0,0) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"是","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為是。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307313,"parameters":{"operation":"point_equality","x":0,"y":0,"u":0,"v":0,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":0,\"v\":0,\"x\":0,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0014","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(0,1) 與 Q=(1,1) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"否","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為否。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307314,"parameters":{"operation":"point_equality","x":0,"y":1,"u":1,"v":1,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":1,\"v\":1,\"x\":0,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0015","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(0,2) 與 Q=(0,2) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"是","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為是。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307315,"parameters":{"operation":"point_equality","x":0,"y":2,"u":0,"v":2,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":0,\"v\":2,\"x\":0,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0016","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(1,-2) 與 Q=(1,-1) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"否","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為否。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307316,"parameters":{"operation":"point_equality","x":1,"y":-2,"u":1,"v":-1,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":1,\"v\":-1,\"x\":1,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0017","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(1,-1) 與 Q=(1,-1) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"是","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為是。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307317,"parameters":{"operation":"point_equality","x":1,"y":-1,"u":1,"v":-1,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":1,\"v\":-1,\"x\":1,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0018","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(1,0) 與 Q=(2,0) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"否","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為否。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307318,"parameters":{"operation":"point_equality","x":1,"y":0,"u":2,"v":0,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":2,\"v\":0,\"x\":1,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0019","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(1,1) 與 Q=(1,1) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"是","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為是。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307319,"parameters":{"operation":"point_equality","x":1,"y":1,"u":1,"v":1,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":1,\"v\":1,\"x\":1,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0020","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(1,2) 與 Q=(2,2) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"否","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為否。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307320,"parameters":{"operation":"point_equality","x":1,"y":2,"u":2,"v":2,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":2,\"v\":2,\"x\":1,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0021","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(2,-2) 與 Q=(2,-2) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"是","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為是。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307321,"parameters":{"operation":"point_equality","x":2,"y":-2,"u":2,"v":-2,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":2,\"v\":-2,\"x\":2,\"y\":-2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0022","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(2,-1) 與 Q=(2,0) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"否","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為否。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307322,"parameters":{"operation":"point_equality","x":2,"y":-1,"u":2,"v":0,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":2,\"v\":0,\"x\":2,\"y\":-1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0023","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(2,0) 與 Q=(2,0) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"是","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為是。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307323,"parameters":{"operation":"point_equality","x":2,"y":0,"u":2,"v":0,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":2,\"v\":0,\"x\":2,\"y\":0}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0024","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(2,1) 與 Q=(3,1) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"否","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為否。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307324,"parameters":{"operation":"point_equality","x":2,"y":1,"u":3,"v":1,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":3,\"v\":1,\"x\":2,\"y\":1}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260930-r07-coordinate-point-equality-0025","batch_id":"batch-20260930-r07-coordinate-plane-foundations","language":"zh-Hant","source_mko_ids":["mko-coordinate-plane"],"title_zh":"同座標系的點相等","stem_zh":"在同一明示平面直角座標系中，P=(2,2) 與 Q=(2,2) 是同一點嗎？逐一比較對應座標。","answer":{"kind":"short_text","value":"是","explanation_zh":"兩點相等要求 x 與 x、y 與 y 分別相等；按明示有序對比較後答案為是。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["分量相等","同一座標系"]},"variant":{"family_id":"qf-coordinate-point-equality","seed":202609307325,"parameters":{"operation":"point_equality","x":2,"y":2,"u":2,"v":2,"semantic_template":"qf-coordinate-point-equality/{\"operation\":\"point_equality\",\"u\":2,\"v\":2,\"x\":2,\"y\":2}"}},"verification":{"status":"candidate","checks":["json_schema","producer_local_answer_invariants","explanation_witness_accuracy"],"warning_zh":"本題保持 candidate；有限精確計算與產生者自檢不構成人工審查、形式證明或主架構者驗收。"},"provenance":{"generator_role":"question_producer","generator_model":"Codex GPT-6 question producer","generated_at":"2026-09-30","contract_version":"ocme-question-factory-v0.1"}}