{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0001","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 1°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"銳角","explanation_zh":"θ=1°；依固定的整數度數區間分類，答案為銳角。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260923,"parameters":{"theta":1,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":1,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0002","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 7°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"銳角","explanation_zh":"θ=7°；依固定的整數度數區間分類，答案為銳角。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260924,"parameters":{"theta":7,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":7,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0003","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 15°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"銳角","explanation_zh":"θ=15°；依固定的整數度數區間分類，答案為銳角。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260925,"parameters":{"theta":15,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":15,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0004","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 24°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"銳角","explanation_zh":"θ=24°；依固定的整數度數區間分類，答案為銳角。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260926,"parameters":{"theta":24,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":24,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0005","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 38°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"銳角","explanation_zh":"θ=38°；依固定的整數度數區間分類，答案為銳角。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260927,"parameters":{"theta":38,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":38,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0006","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 45°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"銳角","explanation_zh":"θ=45°；依固定的整數度數區間分類，答案為銳角。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260928,"parameters":{"theta":45,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":45,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0007","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 59°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"銳角","explanation_zh":"θ=59°；依固定的整數度數區間分類，答案為銳角。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260929,"parameters":{"theta":59,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":59,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0008","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 72°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"銳角","explanation_zh":"θ=72°；依固定的整數度數區間分類，答案為銳角。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260930,"parameters":{"theta":72,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":72,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0009","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 89°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"銳角","explanation_zh":"θ=89°；依固定的整數度數區間分類，答案為銳角。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260931,"parameters":{"theta":89,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":89,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0010","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 90°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"直角","explanation_zh":"θ=90°；依固定的整數度數區間分類，答案為直角。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260932,"parameters":{"theta":90,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":90,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0011","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 91°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"鈍角","explanation_zh":"θ=91°；依固定的整數度數區間分類，答案為鈍角。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260933,"parameters":{"theta":91,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":91,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0012","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 97°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"鈍角","explanation_zh":"θ=97°；依固定的整數度數區間分類，答案為鈍角。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260934,"parameters":{"theta":97,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":97,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0013","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 105°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"鈍角","explanation_zh":"θ=105°；依固定的整數度數區間分類，答案為鈍角。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260935,"parameters":{"theta":105,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":105,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0014","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 113°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"鈍角","explanation_zh":"θ=113°；依固定的整數度數區間分類，答案為鈍角。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260936,"parameters":{"theta":113,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":113,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0015","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 120°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"鈍角","explanation_zh":"θ=120°；依固定的整數度數區間分類，答案為鈍角。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260937,"parameters":{"theta":120,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":120,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0016","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 128°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"鈍角","explanation_zh":"θ=128°；依固定的整數度數區間分類，答案為鈍角。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260938,"parameters":{"theta":128,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":128,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0017","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 137°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"鈍角","explanation_zh":"θ=137°；依固定的整數度數區間分類，答案為鈍角。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260939,"parameters":{"theta":137,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":137,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0018","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 149°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"鈍角","explanation_zh":"θ=149°；依固定的整數度數區間分類，答案為鈍角。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260940,"parameters":{"theta":149,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":149,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0019","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 159°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"鈍角","explanation_zh":"θ=159°；依固定的整數度數區間分類，答案為鈍角。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260941,"parameters":{"theta":159,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":159,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0020","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 171°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"鈍角","explanation_zh":"θ=171°；依固定的整數度數區間分類，答案為鈍角。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260942,"parameters":{"theta":171,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":171,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0021","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 179°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"鈍角","explanation_zh":"θ=179°；依固定的整數度數區間分類，答案為鈍角。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260943,"parameters":{"theta":179,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":179,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0022","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 180°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"平角","explanation_zh":"θ=180°；依固定的整數度數區間分類，答案為平角。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260944,"parameters":{"theta":180,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":180,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0023","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 2°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"銳角","explanation_zh":"θ=2°；依固定的整數度數區間分類，答案為銳角。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260945,"parameters":{"theta":2,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":2,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0024","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 63°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"銳角","explanation_zh":"θ=63°；依固定的整數度數區間分類，答案為銳角。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260946,"parameters":{"theta":63,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":63,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-degree-classification-0025","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"明示度數的角分類","stem_zh":"角 θ 的量值明示為 146°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？","answer":{"kind":"short_text","value":"鈍角","explanation_zh":"θ=146°；依固定的整數度數區間分類，答案為鈍角。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["角度分類","明示度數"]},"variant":{"family_id":"qf-angle-degree-classification","seed":20260947,"parameters":{"theta":146,"unit":"degree","range":"0<theta<=180","operation":"classification","semantic_template":"qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":146,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0001","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 1°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"89°","explanation_zh":"互餘的明示量值和為 90°；90−1=89，故答案為 89°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261023,"parameters":{"theta":1,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":1,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0002","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 4°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"86°","explanation_zh":"互餘的明示量值和為 90°；90−4=86，故答案為 86°。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261024,"parameters":{"theta":4,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":4,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0003","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 7°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"83°","explanation_zh":"互餘的明示量值和為 90°；90−7=83，故答案為 83°。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261025,"parameters":{"theta":7,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":7,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0004","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 10°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"80°","explanation_zh":"互餘的明示量值和為 90°；90−10=80，故答案為 80°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261026,"parameters":{"theta":10,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":10,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0005","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 13°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"77°","explanation_zh":"互餘的明示量值和為 90°；90−13=77，故答案為 77°。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261027,"parameters":{"theta":13,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":13,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0006","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 16°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"74°","explanation_zh":"互餘的明示量值和為 90°；90−16=74，故答案為 74°。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261028,"parameters":{"theta":16,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":16,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0007","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 19°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"71°","explanation_zh":"互餘的明示量值和為 90°；90−19=71，故答案為 71°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261029,"parameters":{"theta":19,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":19,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0008","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 22°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"68°","explanation_zh":"互餘的明示量值和為 90°；90−22=68，故答案為 68°。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261030,"parameters":{"theta":22,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":22,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0009","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 25°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"65°","explanation_zh":"互餘的明示量值和為 90°；90−25=65，故答案為 65°。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261031,"parameters":{"theta":25,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":25,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0010","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 28°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"62°","explanation_zh":"互餘的明示量值和為 90°；90−28=62，故答案為 62°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261032,"parameters":{"theta":28,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":28,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0011","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 31°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"59°","explanation_zh":"互餘的明示量值和為 90°；90−31=59，故答案為 59°。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261033,"parameters":{"theta":31,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":31,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0012","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 34°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"56°","explanation_zh":"互餘的明示量值和為 90°；90−34=56，故答案為 56°。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261034,"parameters":{"theta":34,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":34,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0013","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 37°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"53°","explanation_zh":"互餘的明示量值和為 90°；90−37=53，故答案為 53°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261035,"parameters":{"theta":37,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":37,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0014","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 40°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"50°","explanation_zh":"互餘的明示量值和為 90°；90−40=50，故答案為 50°。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261036,"parameters":{"theta":40,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":40,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0015","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 43°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"47°","explanation_zh":"互餘的明示量值和為 90°；90−43=47，故答案為 47°。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261037,"parameters":{"theta":43,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":43,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0016","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 46°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"44°","explanation_zh":"互餘的明示量值和為 90°；90−46=44，故答案為 44°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261038,"parameters":{"theta":46,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":46,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0017","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 49°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"41°","explanation_zh":"互餘的明示量值和為 90°；90−49=41，故答案為 41°。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261039,"parameters":{"theta":49,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":49,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0018","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 52°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"38°","explanation_zh":"互餘的明示量值和為 90°；90−52=38，故答案為 38°。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261040,"parameters":{"theta":52,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":52,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0019","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 55°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"35°","explanation_zh":"互餘的明示量值和為 90°；90−55=35，故答案為 35°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261041,"parameters":{"theta":55,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":55,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0020","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 58°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"32°","explanation_zh":"互餘的明示量值和為 90°；90−58=32，故答案為 32°。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261042,"parameters":{"theta":58,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":58,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0021","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 61°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"29°","explanation_zh":"互餘的明示量值和為 90°；90−61=29，故答案為 29°。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261043,"parameters":{"theta":61,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":61,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0022","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 64°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"26°","explanation_zh":"互餘的明示量值和為 90°；90−64=26，故答案為 26°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261044,"parameters":{"theta":64,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":64,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0023","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 70°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"20°","explanation_zh":"互餘的明示量值和為 90°；90−70=20，故答案為 20°。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261045,"parameters":{"theta":70,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":70,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0024","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 77°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"13°","explanation_zh":"互餘的明示量值和為 90°；90−77=13，故答案為 13°。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261046,"parameters":{"theta":77,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":77,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-complement-measure-0025","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互餘角量值","stem_zh":"角 θ 的量值明示為 89°。求一個與 θ 互餘的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"1°","explanation_zh":"互餘的明示量值和為 90°；90−89=1，故答案為 1°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","整數度數相加"]},"variant":{"family_id":"qf-angle-complement-measure","seed":20261047,"parameters":{"theta":89,"unit":"degree","range":"0<theta<90","operation":"complement","target_sum":90,"semantic_template":"qf-angle-complement-measure/{\"operation\":\"complement\",\"range\":\"0<theta<90\",\"target_sum\":90,\"theta\":89,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0001","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 1°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"179°","explanation_zh":"互補的明示量值和為 180°；180−1=179，故答案為 179°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261123,"parameters":{"theta":1,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":1,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0002","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 5°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"175°","explanation_zh":"互補的明示量值和為 180°；180−5=175，故答案為 175°。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261124,"parameters":{"theta":5,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":5,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0003","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 12°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"168°","explanation_zh":"互補的明示量值和為 180°；180−12=168，故答案為 168°。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261125,"parameters":{"theta":12,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":12,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0004","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 19°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"161°","explanation_zh":"互補的明示量值和為 180°；180−19=161，故答案為 161°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261126,"parameters":{"theta":19,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":19,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0005","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 26°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"154°","explanation_zh":"互補的明示量值和為 180°；180−26=154，故答案為 154°。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261127,"parameters":{"theta":26,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":26,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0006","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 33°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"147°","explanation_zh":"互補的明示量值和為 180°；180−33=147，故答案為 147°。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261128,"parameters":{"theta":33,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":33,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0007","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 40°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"140°","explanation_zh":"互補的明示量值和為 180°；180−40=140，故答案為 140°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261129,"parameters":{"theta":40,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":40,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0008","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 47°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"133°","explanation_zh":"互補的明示量值和為 180°；180−47=133，故答案為 133°。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261130,"parameters":{"theta":47,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":47,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0009","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 54°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"126°","explanation_zh":"互補的明示量值和為 180°；180−54=126，故答案為 126°。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261131,"parameters":{"theta":54,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":54,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0010","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 61°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"119°","explanation_zh":"互補的明示量值和為 180°；180−61=119，故答案為 119°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261132,"parameters":{"theta":61,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":61,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0011","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 68°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"112°","explanation_zh":"互補的明示量值和為 180°；180−68=112，故答案為 112°。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261133,"parameters":{"theta":68,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":68,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0012","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 75°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"105°","explanation_zh":"互補的明示量值和為 180°；180−75=105，故答案為 105°。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261134,"parameters":{"theta":75,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":75,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0013","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 82°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"98°","explanation_zh":"互補的明示量值和為 180°；180−82=98，故答案為 98°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261135,"parameters":{"theta":82,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":82,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0014","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 90°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"90°","explanation_zh":"互補的明示量值和為 180°；180−90=90，故答案為 90°。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261136,"parameters":{"theta":90,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":90,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0015","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 97°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"83°","explanation_zh":"互補的明示量值和為 180°；180−97=83，故答案為 83°。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261137,"parameters":{"theta":97,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":97,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0016","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 104°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"76°","explanation_zh":"互補的明示量值和為 180°；180−104=76，故答案為 76°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261138,"parameters":{"theta":104,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":104,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0017","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 111°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"69°","explanation_zh":"互補的明示量值和為 180°；180−111=69，故答案為 69°。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261139,"parameters":{"theta":111,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":111,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0018","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 118°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"62°","explanation_zh":"互補的明示量值和為 180°；180−118=62，故答案為 62°。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261140,"parameters":{"theta":118,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":118,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0019","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 125°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"55°","explanation_zh":"互補的明示量值和為 180°；180−125=55，故答案為 55°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261141,"parameters":{"theta":125,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":125,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0020","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 132°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"48°","explanation_zh":"互補的明示量值和為 180°；180−132=48，故答案為 48°。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261142,"parameters":{"theta":132,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":132,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0021","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 139°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"41°","explanation_zh":"互補的明示量值和為 180°；180−139=41，故答案為 41°。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261143,"parameters":{"theta":139,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":139,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0022","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 146°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"34°","explanation_zh":"互補的明示量值和為 180°；180−146=34，故答案為 34°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261144,"parameters":{"theta":146,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":146,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0023","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 153°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"27°","explanation_zh":"互補的明示量值和為 180°；180−153=27，故答案為 27°。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261145,"parameters":{"theta":153,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":153,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0024","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 160°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"20°","explanation_zh":"互補的明示量值和為 180°；180−160=20，故答案為 20°。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261146,"parameters":{"theta":160,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":160,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-supplement-measure-0025","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"互補角量值","stem_zh":"角 θ 的量值明示為 179°。求一個與 θ 互補的角量值（整數度數）；不要求兩角相鄰，也不由圖猜測。","answer":{"kind":"short_text","value":"1°","explanation_zh":"互補的明示量值和為 180°；180−179=1，故答案為 1°。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互補","整數度數相加"]},"variant":{"family_id":"qf-angle-supplement-measure","seed":20261147,"parameters":{"theta":179,"unit":"degree","range":"0<theta<180","operation":"supplement","target_sum":180,"semantic_template":"qf-angle-supplement-measure/{\"operation\":\"supplement\",\"range\":\"0<theta<180\",\"target_sum\":180,\"theta\":179,\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0001","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=20°、β=70° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互餘","explanation_zh":"α+β=20+70=90°；和為 90°，所以互餘。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261223,"parameters":{"alpha":20,"beta":70,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":20,\"beta\":70,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0002","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=45°、β=45° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互餘","explanation_zh":"α+β=45+45=90°；和為 90°，所以互餘。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261224,"parameters":{"alpha":45,"beta":45,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":45,\"beta\":45,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0003","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=30°、β=150° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互補","explanation_zh":"α+β=30+150=180°；和為 180°，所以互補。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261225,"parameters":{"alpha":30,"beta":150,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":30,\"beta\":150,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0004","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=80°、β=100° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互補","explanation_zh":"α+β=80+100=180°；和為 180°，所以互補。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261226,"parameters":{"alpha":80,"beta":100,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":80,\"beta\":100,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0005","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=10°、β=20° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"皆非","explanation_zh":"α+β=10+20=30°；和為非 90° 也非 180°，所以皆非。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261227,"parameters":{"alpha":10,"beta":20,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":10,\"beta\":20,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0006","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=60°、β=60° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"皆非","explanation_zh":"α+β=60+60=120°；和為非 90° 也非 180°，所以皆非。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261228,"parameters":{"alpha":60,"beta":60,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":60,\"beta\":60,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0007","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=1°、β=179° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互補","explanation_zh":"α+β=1+179=180°；和為 180°，所以互補。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261229,"parameters":{"alpha":1,"beta":179,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":1,\"beta\":179,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0008","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=89°、β=1° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互餘","explanation_zh":"α+β=89+1=90°；和為 90°，所以互餘。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261230,"parameters":{"alpha":89,"beta":1,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":89,\"beta\":1,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0009","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=90°、β=90° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互補","explanation_zh":"α+β=90+90=180°；和為 180°，所以互補。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261231,"parameters":{"alpha":90,"beta":90,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":90,\"beta\":90,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0010","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=100°、β=70° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"皆非","explanation_zh":"α+β=100+70=170°；和為非 90° 也非 180°，所以皆非。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261232,"parameters":{"alpha":100,"beta":70,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":100,\"beta\":70,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0011","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=40°、β=50° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互餘","explanation_zh":"α+β=40+50=90°；和為 90°，所以互餘。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261233,"parameters":{"alpha":40,"beta":50,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":40,\"beta\":50,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0012","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=12°、β=78° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互餘","explanation_zh":"α+β=12+78=90°；和為 90°，所以互餘。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261234,"parameters":{"alpha":12,"beta":78,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":12,\"beta\":78,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0013","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=75°、β=105° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互補","explanation_zh":"α+β=75+105=180°；和為 180°，所以互補。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261235,"parameters":{"alpha":75,"beta":105,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":75,\"beta\":105,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0014","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=135°、β=45° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互補","explanation_zh":"α+β=135+45=180°；和為 180°，所以互補。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261236,"parameters":{"alpha":135,"beta":45,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":135,\"beta\":45,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0015","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=25°、β=65° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互餘","explanation_zh":"α+β=25+65=90°；和為 90°，所以互餘。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261237,"parameters":{"alpha":25,"beta":65,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":25,\"beta\":65,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0016","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=88°、β=92° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互補","explanation_zh":"α+β=88+92=180°；和為 180°，所以互補。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261238,"parameters":{"alpha":88,"beta":92,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":88,\"beta\":92,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0017","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=15°、β=15° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"皆非","explanation_zh":"α+β=15+15=30°；和為非 90° 也非 180°，所以皆非。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261239,"parameters":{"alpha":15,"beta":15,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":15,\"beta\":15,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0018","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=72°、β=18° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互餘","explanation_zh":"α+β=72+18=90°；和為 90°，所以互餘。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261240,"parameters":{"alpha":72,"beta":18,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":72,\"beta\":18,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0019","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=120°、β=30° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"皆非","explanation_zh":"α+β=120+30=150°；和為非 90° 也非 180°，所以皆非。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261241,"parameters":{"alpha":120,"beta":30,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":120,\"beta\":30,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0020","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=37°、β=53° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互餘","explanation_zh":"α+β=37+53=90°；和為 90°，所以互餘。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261242,"parameters":{"alpha":37,"beta":53,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":37,\"beta\":53,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0021","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=110°、β=50° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"皆非","explanation_zh":"α+β=110+50=160°；和為非 90° 也非 180°，所以皆非。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261243,"parameters":{"alpha":110,"beta":50,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":110,\"beta\":50,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0022","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=60°、β=130° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"皆非","explanation_zh":"α+β=60+130=190°；和為非 90° 也非 180°，所以皆非。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261244,"parameters":{"alpha":60,"beta":130,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":60,\"beta\":130,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0023","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=2°、β=88° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互餘","explanation_zh":"α+β=2+88=90°；和為 90°，所以互餘。"},"difficulty":{"band":"lower_secondary","level":3,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261245,"parameters":{"alpha":2,"beta":88,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":2,\"beta\":88,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0024","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=179°、β=1° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"互補","explanation_zh":"α+β=179+1=180°；和為 180°，所以互補。"},"difficulty":{"band":"lower_secondary","level":1,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261246,"parameters":{"alpha":179,"beta":1,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":179,\"beta\":1,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260922-angle-pair-relation-0025","batch_id":"batch-20260922-angle-foundations","language":"zh-Hant","source_mko_ids":["mko-angle"],"title_zh":"兩個明示角量值的關係","stem_zh":"兩角 α=33°、β=44° 的量值皆明示為整數度數。只由 α+β 判斷，它們是互餘、互補或皆非？","answer":{"kind":"short_text","value":"皆非","explanation_zh":"α+β=33+44=77°；和為非 90° 也非 180°，所以皆非。"},"difficulty":{"band":"lower_secondary","level":2,"skills":["互餘","互補","整數度數相加"]},"variant":{"family_id":"qf-angle-pair-relation","seed":20261247,"parameters":{"alpha":33,"beta":44,"unit":"degree","range":"0<angle<=180","operation":"pair_relation","semantic_template":"qf-angle-pair-relation/{\"alpha\":33,\"beta\":44,\"operation\":\"pair_relation\",\"range\":\"0<angle<=180\",\"unit\":\"degree\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-22","contract_version":"ocme-question-factory-v0.1"}}