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{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-membership-0023","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-membership","stem_zh":"22 是否屬於整數集合 Z？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"22 沒有小數或分母表示，且是正整數、零或負整數。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["整數成員"]},"variant":{"family_id":"qf-integer-membership","seed":20260942,"parameters":{"raw":"22","integer":true,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"22\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-membership-0024","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-membership","stem_zh":"-23 是否屬於整數集合 Z？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"-23 沒有小數或分母表示，且是正整數、零或負整數。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["整數成員"]},"variant":{"family_id":"qf-integer-membership","seed":20260943,"parameters":{"raw":"-23","integer":true,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"-23\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-membership-0025","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-membership","stem_zh":"24 是否屬於整數集合 Z？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"24 沒有小數或分母表示，且是正整數、零或負整數。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["整數成員"]},"variant":{"family_id":"qf-integer-membership","seed":20260944,"parameters":{"raw":"24","integer":true,"semantic_template":"qf-integer-membership/{\"integer\":true,\"raw\":\"24\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0001","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 0 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"零","choices":["正","零","負"],"explanation_zh":"相對 0，0 是零；零既非正也非負。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261020,"parameters":{"n":0,"sign":"零","semantic_template":"qf-integer-sign-classification/{\"n\":0,\"sign\":\"零\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0002","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 -1 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"負","choices":["正","零","負"],"explanation_zh":"相對 0，-1 是負整數。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261021,"parameters":{"n":-1,"sign":"負","semantic_template":"qf-integer-sign-classification/{\"n\":-1,\"sign\":\"負\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0003","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 2 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"正","choices":["正","零","負"],"explanation_zh":"相對 0，2 是正整數。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261022,"parameters":{"n":2,"sign":"正","semantic_template":"qf-integer-sign-classification/{\"n\":2,\"sign\":\"正\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0004","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 -3 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"負","choices":["正","零","負"],"explanation_zh":"相對 0，-3 是負整數。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261023,"parameters":{"n":-3,"sign":"負","semantic_template":"qf-integer-sign-classification/{\"n\":-3,\"sign\":\"負\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0005","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 4 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"正","choices":["正","零","負"],"explanation_zh":"相對 0，4 是正整數。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261024,"parameters":{"n":4,"sign":"正","semantic_template":"qf-integer-sign-classification/{\"n\":4,\"sign\":\"正\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0006","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 -5 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"負","choices":["正","零","負"],"explanation_zh":"相對 0，-5 是負整數。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261025,"parameters":{"n":-5,"sign":"負","semantic_template":"qf-integer-sign-classification/{\"n\":-5,\"sign\":\"負\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0007","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 6 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"正","choices":["正","零","負"],"explanation_zh":"相對 0，6 是正整數。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261026,"parameters":{"n":6,"sign":"正","semantic_template":"qf-integer-sign-classification/{\"n\":6,\"sign\":\"正\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0008","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 -7 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"負","choices":["正","零","負"],"explanation_zh":"相對 0，-7 是負整數。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261027,"parameters":{"n":-7,"sign":"負","semantic_template":"qf-integer-sign-classification/{\"n\":-7,\"sign\":\"負\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0009","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 8 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"正","choices":["正","零","負"],"explanation_zh":"相對 0，8 是正整數。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261028,"parameters":{"n":8,"sign":"正","semantic_template":"qf-integer-sign-classification/{\"n\":8,\"sign\":\"正\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0010","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 -9 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"負","choices":["正","零","負"],"explanation_zh":"相對 0，-9 是負整數。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261029,"parameters":{"n":-9,"sign":"負","semantic_template":"qf-integer-sign-classification/{\"n\":-9,\"sign\":\"負\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0011","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 10 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"正","choices":["正","零","負"],"explanation_zh":"相對 0，10 是正整數。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261030,"parameters":{"n":10,"sign":"正","semantic_template":"qf-integer-sign-classification/{\"n\":10,\"sign\":\"正\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0012","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 -11 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"負","choices":["正","零","負"],"explanation_zh":"相對 0，-11 是負整數。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261031,"parameters":{"n":-11,"sign":"負","semantic_template":"qf-integer-sign-classification/{\"n\":-11,\"sign\":\"負\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0013","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 12 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"正","choices":["正","零","負"],"explanation_zh":"相對 0，12 是正整數。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261032,"parameters":{"n":12,"sign":"正","semantic_template":"qf-integer-sign-classification/{\"n\":12,\"sign\":\"正\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0014","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 -13 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"負","choices":["正","零","負"],"explanation_zh":"相對 0，-13 是負整數。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261033,"parameters":{"n":-13,"sign":"負","semantic_template":"qf-integer-sign-classification/{\"n\":-13,\"sign\":\"負\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0015","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 14 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"正","choices":["正","零","負"],"explanation_zh":"相對 0，14 是正整數。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261034,"parameters":{"n":14,"sign":"正","semantic_template":"qf-integer-sign-classification/{\"n\":14,\"sign\":\"正\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0016","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 -15 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"負","choices":["正","零","負"],"explanation_zh":"相對 0，-15 是負整數。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261035,"parameters":{"n":-15,"sign":"負","semantic_template":"qf-integer-sign-classification/{\"n\":-15,\"sign\":\"負\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0017","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 16 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"正","choices":["正","零","負"],"explanation_zh":"相對 0，16 是正整數。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261036,"parameters":{"n":16,"sign":"正","semantic_template":"qf-integer-sign-classification/{\"n\":16,\"sign\":\"正\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0018","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 -17 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"負","choices":["正","零","負"],"explanation_zh":"相對 0，-17 是負整數。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261037,"parameters":{"n":-17,"sign":"負","semantic_template":"qf-integer-sign-classification/{\"n\":-17,\"sign\":\"負\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0019","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 18 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"正","choices":["正","零","負"],"explanation_zh":"相對 0，18 是正整數。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261038,"parameters":{"n":18,"sign":"正","semantic_template":"qf-integer-sign-classification/{\"n\":18,\"sign\":\"正\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0020","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 -19 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"負","choices":["正","零","負"],"explanation_zh":"相對 0，-19 是負整數。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261039,"parameters":{"n":-19,"sign":"負","semantic_template":"qf-integer-sign-classification/{\"n\":-19,\"sign\":\"負\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0021","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 20 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"正","choices":["正","零","負"],"explanation_zh":"相對 0，20 是正整數。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261040,"parameters":{"n":20,"sign":"正","semantic_template":"qf-integer-sign-classification/{\"n\":20,\"sign\":\"正\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0022","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 -21 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"負","choices":["正","零","負"],"explanation_zh":"相對 0，-21 是負整數。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261041,"parameters":{"n":-21,"sign":"負","semantic_template":"qf-integer-sign-classification/{\"n\":-21,\"sign\":\"負\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0023","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 22 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"正","choices":["正","零","負"],"explanation_zh":"相對 0，22 是正整數。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261042,"parameters":{"n":22,"sign":"正","semantic_template":"qf-integer-sign-classification/{\"n\":22,\"sign\":\"正\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0024","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 -23 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"負","choices":["正","零","負"],"explanation_zh":"相對 0，-23 是負整數。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261043,"parameters":{"n":-23,"sign":"負","semantic_template":"qf-integer-sign-classification/{\"n\":-23,\"sign\":\"負\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-sign-classification-0025","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-sign-classification","stem_zh":"以 0 為基準，整數 24 屬於正、零、負的哪一類？","answer":{"kind":"choice","value":"正","choices":["正","零","負"],"explanation_zh":"相對 0，24 是正整數。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["整數符號"]},"variant":{"family_id":"qf-integer-sign-classification","seed":20261044,"parameters":{"n":24,"sign":"正","semantic_template":"qf-integer-sign-classification/{\"n\":24,\"sign\":\"正\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-opposite-0001","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-opposite","stem_zh":"0 的加法相反數是多少？","answer":{"kind":"numeric","value":0,"explanation_zh":"0 與 0 相加為 0；這是相反數，不是倒數或絕對值。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["相反數"]},"variant":{"family_id":"qf-integer-opposite","seed":20261120,"parameters":{"n":0,"opposite":0,"semantic_template":"qf-integer-opposite/{\"n\":0,\"opposite\":0}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-opposite-0002","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-opposite","stem_zh":"-1 的加法相反數是多少？","answer":{"kind":"numeric","value":1,"explanation_zh":"-1 與 1 相加為 0；這是相反數，不是倒數或絕對值。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["相反數"]},"variant":{"family_id":"qf-integer-opposite","seed":20261121,"parameters":{"n":-1,"opposite":1,"semantic_template":"qf-integer-opposite/{\"n\":-1,\"opposite\":1}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-opposite-0003","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-opposite","stem_zh":"2 的加法相反數是多少？","answer":{"kind":"numeric","value":-2,"explanation_zh":"2 與 -2 相加為 0；這是相反數，不是倒數或絕對值。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["相反數"]},"variant":{"family_id":"qf-integer-opposite","seed":20261122,"parameters":{"n":2,"opposite":-2,"semantic_template":"qf-integer-opposite/{\"n\":2,\"opposite\":-2}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-opposite-0004","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-opposite","stem_zh":"-3 的加法相反數是多少？","answer":{"kind":"numeric","value":3,"explanation_zh":"-3 與 3 相加為 0；這是相反數，不是倒數或絕對值。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["相反數"]},"variant":{"family_id":"qf-integer-opposite","seed":20261123,"parameters":{"n":-3,"opposite":3,"semantic_template":"qf-integer-opposite/{\"n\":-3,\"opposite\":3}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-opposite-0005","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-opposite","stem_zh":"4 的加法相反數是多少？","answer":{"kind":"numeric","value":-4,"explanation_zh":"4 與 -4 相加為 0；這是相反數，不是倒數或絕對值。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["相反數"]},"variant":{"family_id":"qf-integer-opposite","seed":20261124,"parameters":{"n":4,"opposite":-4,"semantic_template":"qf-integer-opposite/{\"n\":4,\"opposite\":-4}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-opposite-0006","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-opposite","stem_zh":"-5 的加法相反數是多少？","answer":{"kind":"numeric","value":5,"explanation_zh":"-5 與 5 相加為 0；這是相反數，不是倒數或絕對值。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["相反數"]},"variant":{"family_id":"qf-integer-opposite","seed":20261125,"parameters":{"n":-5,"opposite":5,"semantic_template":"qf-integer-opposite/{\"n\":-5,\"opposite\":5}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-opposite-0007","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-opposite","stem_zh":"6 的加法相反數是多少？","answer":{"kind":"numeric","value":-6,"explanation_zh":"6 與 -6 相加為 0；這是相反數，不是倒數或絕對值。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["相反數"]},"variant":{"family_id":"qf-integer-opposite","seed":20261126,"parameters":{"n":6,"opposite":-6,"semantic_template":"qf-integer-opposite/{\"n\":6,\"opposite\":-6}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-opposite-0008","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-opposite","stem_zh":"-7 的加法相反數是多少？","answer":{"kind":"numeric","value":7,"explanation_zh":"-7 與 7 相加為 0；這是相反數，不是倒數或絕對值。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["相反數"]},"variant":{"family_id":"qf-integer-opposite","seed":20261127,"parameters":{"n":-7,"opposite":7,"semantic_template":"qf-integer-opposite/{\"n\":-7,\"opposite\":7}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-integer-opposite-0009","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-integer-opposite","stem_zh":"8 的加法相反數是多少？","answer":{"kind":"numeric","value":-8,"explanation_zh":"8 與 -8 相加為 0；這是相反數，不是倒數或絕對值。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["相反數"]},"variant":{"family_id":"qf-integer-opposite","seed":20261128,"parameters":{"n":8,"opposite":-8,"semantic_template":"qf-integer-opposite/{\"n\":8,\"opposite\":-8}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
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{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0006","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向上為正方向，單位為層。位置 -5 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":-5,"explanation_zh":"零點與正方向已明示，-5層 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261225,"parameters":{"zero":"入口","positive_direction":"向上","unit":"層","value":-5,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-5,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0007","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向右為正方向，單位為公尺。位置 6 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":6,"explanation_zh":"零點與正方向已明示，6公尺 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261226,"parameters":{"zero":"入口","positive_direction":"向右","unit":"公尺","value":6,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":6,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0008","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向上為正方向，單位為層。位置 -7 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":-7,"explanation_zh":"零點與正方向已明示，-7層 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261227,"parameters":{"zero":"入口","positive_direction":"向上","unit":"層","value":-7,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-7,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0009","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向右為正方向，單位為公尺。位置 8 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":8,"explanation_zh":"零點與正方向已明示，8公尺 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261228,"parameters":{"zero":"入口","positive_direction":"向右","unit":"公尺","value":8,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":8,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0010","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向上為正方向，單位為層。位置 -9 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":-9,"explanation_zh":"零點與正方向已明示，-9層 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261229,"parameters":{"zero":"入口","positive_direction":"向上","unit":"層","value":-9,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-9,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0011","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向右為正方向，單位為公尺。位置 10 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":10,"explanation_zh":"零點與正方向已明示，10公尺 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261230,"parameters":{"zero":"入口","positive_direction":"向右","unit":"公尺","value":10,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":10,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0012","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向上為正方向，單位為層。位置 -11 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":-11,"explanation_zh":"零點與正方向已明示，-11層 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261231,"parameters":{"zero":"入口","positive_direction":"向上","unit":"層","value":-11,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-11,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0013","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向右為正方向，單位為公尺。位置 12 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":12,"explanation_zh":"零點與正方向已明示，12公尺 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261232,"parameters":{"zero":"入口","positive_direction":"向右","unit":"公尺","value":12,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":12,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0014","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向上為正方向，單位為層。位置 -13 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":-13,"explanation_zh":"零點與正方向已明示，-13層 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261233,"parameters":{"zero":"入口","positive_direction":"向上","unit":"層","value":-13,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-13,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0015","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向右為正方向，單位為公尺。位置 14 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":14,"explanation_zh":"零點與正方向已明示，14公尺 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261234,"parameters":{"zero":"入口","positive_direction":"向右","unit":"公尺","value":14,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":14,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0016","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向上為正方向，單位為層。位置 -15 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":-15,"explanation_zh":"零點與正方向已明示，-15層 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261235,"parameters":{"zero":"入口","positive_direction":"向上","unit":"層","value":-15,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-15,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0017","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向右為正方向，單位為公尺。位置 16 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":16,"explanation_zh":"零點與正方向已明示，16公尺 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261236,"parameters":{"zero":"入口","positive_direction":"向右","unit":"公尺","value":16,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":16,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0018","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向上為正方向，單位為層。位置 -17 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":-17,"explanation_zh":"零點與正方向已明示，-17層 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261237,"parameters":{"zero":"入口","positive_direction":"向上","unit":"層","value":-17,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-17,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0019","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向右為正方向，單位為公尺。位置 18 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":18,"explanation_zh":"零點與正方向已明示，18公尺 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261238,"parameters":{"zero":"入口","positive_direction":"向右","unit":"公尺","value":18,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":18,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0020","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向上為正方向，單位為層。位置 -19 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":-19,"explanation_zh":"零點與正方向已明示，-19層 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261239,"parameters":{"zero":"入口","positive_direction":"向上","unit":"層","value":-19,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-19,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0021","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向右為正方向，單位為公尺。位置 20 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":20,"explanation_zh":"零點與正方向已明示，20公尺 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261240,"parameters":{"zero":"入口","positive_direction":"向右","unit":"公尺","value":20,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":20,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0022","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向上為正方向，單位為層。位置 -21 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":-21,"explanation_zh":"零點與正方向已明示，-21層 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261241,"parameters":{"zero":"入口","positive_direction":"向上","unit":"層","value":-21,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-21,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0023","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向右為正方向，單位為公尺。位置 22 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":22,"explanation_zh":"零點與正方向已明示，22公尺 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261242,"parameters":{"zero":"入口","positive_direction":"向右","unit":"公尺","value":22,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":22,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0024","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向上為正方向，單位為層。位置 -23 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":-23,"explanation_zh":"零點與正方向已明示，-23層 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261243,"parameters":{"zero":"入口","positive_direction":"向上","unit":"層","value":-23,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向上\",\"unit\":\"層\",\"value\":-23,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260919-signed-context-integer-0025","batch_id":"batch-20260919-integer-foundations","language":"zh-Hant","source_mko_ids":["mko-integer"],"title_zh":"qf-signed-context-integer","stem_zh":"零點為入口，向右為正方向，單位為公尺。位置 24 代表相對零點的哪個整數位移？","answer":{"kind":"numeric","value":24,"explanation_zh":"零點與正方向已明示，24公尺 直接表示帶符號位移；沒有加入單位換算。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["帶符號情境"]},"variant":{"family_id":"qf-signed-context-integer","seed":20261244,"parameters":{"zero":"入口","positive_direction":"向右","unit":"公尺","value":24,"semantic_template":"qf-signed-context-integer/{\"positive_direction\":\"向右\",\"unit\":\"公尺\",\"value\":24,\"zero\":\"入口\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-19","contract_version":"ocme-question-factory-v0.1"}}