{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0001","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 P1 被指定為點。它的幾何角色是？","answer":{"kind":"choice","value":"點","choices":["點","線","面"],"explanation_zh":"題幹明示 P1 是點；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260918,"parameters":{"symbol":"P1","role":"點","semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P1\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0002","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 l2 被指定為線。它的幾何角色是？","answer":{"kind":"choice","value":"線","choices":["點","線","面"],"explanation_zh":"題幹明示 l2 是線；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260919,"parameters":{"symbol":"l2","role":"線","semantic_template":"qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l2\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0003","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 α3 被指定為面。它的幾何角色是？","answer":{"kind":"choice","value":"面","choices":["點","線","面"],"explanation_zh":"題幹明示 α3 是面；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260920,"parameters":{"symbol":"α3","role":"面","semantic_template":"qf-geometry-object-role/{\"role\":\"面\",\"symbol\":\"α3\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0004","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 P4 被指定為點。它的幾何角色是？","answer":{"kind":"choice","value":"點","choices":["點","線","面"],"explanation_zh":"題幹明示 P4 是點；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260921,"parameters":{"symbol":"P4","role":"點","semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P4\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0005","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 l5 被指定為線。它的幾何角色是？","answer":{"kind":"choice","value":"線","choices":["點","線","面"],"explanation_zh":"題幹明示 l5 是線；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260922,"parameters":{"symbol":"l5","role":"線","semantic_template":"qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l5\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0006","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 α6 被指定為面。它的幾何角色是？","answer":{"kind":"choice","value":"面","choices":["點","線","面"],"explanation_zh":"題幹明示 α6 是面；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260923,"parameters":{"symbol":"α6","role":"面","semantic_template":"qf-geometry-object-role/{\"role\":\"面\",\"symbol\":\"α6\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0007","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 P7 被指定為點。它的幾何角色是？","answer":{"kind":"choice","value":"點","choices":["點","線","面"],"explanation_zh":"題幹明示 P7 是點；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260924,"parameters":{"symbol":"P7","role":"點","semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P7\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0008","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 l8 被指定為線。它的幾何角色是？","answer":{"kind":"choice","value":"線","choices":["點","線","面"],"explanation_zh":"題幹明示 l8 是線；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260925,"parameters":{"symbol":"l8","role":"線","semantic_template":"qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l8\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0009","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 α9 被指定為面。它的幾何角色是？","answer":{"kind":"choice","value":"面","choices":["點","線","面"],"explanation_zh":"題幹明示 α9 是面；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260926,"parameters":{"symbol":"α9","role":"面","semantic_template":"qf-geometry-object-role/{\"role\":\"面\",\"symbol\":\"α9\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0010","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 P10 被指定為點。它的幾何角色是？","answer":{"kind":"choice","value":"點","choices":["點","線","面"],"explanation_zh":"題幹明示 P10 是點；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260927,"parameters":{"symbol":"P10","role":"點","semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P10\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0011","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 l11 被指定為線。它的幾何角色是？","answer":{"kind":"choice","value":"線","choices":["點","線","面"],"explanation_zh":"題幹明示 l11 是線；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260928,"parameters":{"symbol":"l11","role":"線","semantic_template":"qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l11\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0012","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 α12 被指定為面。它的幾何角色是？","answer":{"kind":"choice","value":"面","choices":["點","線","面"],"explanation_zh":"題幹明示 α12 是面；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260929,"parameters":{"symbol":"α12","role":"面","semantic_template":"qf-geometry-object-role/{\"role\":\"面\",\"symbol\":\"α12\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0013","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 P13 被指定為點。它的幾何角色是？","answer":{"kind":"choice","value":"點","choices":["點","線","面"],"explanation_zh":"題幹明示 P13 是點；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260930,"parameters":{"symbol":"P13","role":"點","semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P13\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0014","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 l14 被指定為線。它的幾何角色是？","answer":{"kind":"choice","value":"線","choices":["點","線","面"],"explanation_zh":"題幹明示 l14 是線；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260931,"parameters":{"symbol":"l14","role":"線","semantic_template":"qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l14\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0015","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 α15 被指定為面。它的幾何角色是？","answer":{"kind":"choice","value":"面","choices":["點","線","面"],"explanation_zh":"題幹明示 α15 是面；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260932,"parameters":{"symbol":"α15","role":"面","semantic_template":"qf-geometry-object-role/{\"role\":\"面\",\"symbol\":\"α15\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0016","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 P16 被指定為點。它的幾何角色是？","answer":{"kind":"choice","value":"點","choices":["點","線","面"],"explanation_zh":"題幹明示 P16 是點；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260933,"parameters":{"symbol":"P16","role":"點","semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P16\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0017","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 l17 被指定為線。它的幾何角色是？","answer":{"kind":"choice","value":"線","choices":["點","線","面"],"explanation_zh":"題幹明示 l17 是線；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260934,"parameters":{"symbol":"l17","role":"線","semantic_template":"qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l17\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0018","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 α18 被指定為面。它的幾何角色是？","answer":{"kind":"choice","value":"面","choices":["點","線","面"],"explanation_zh":"題幹明示 α18 是面；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260935,"parameters":{"symbol":"α18","role":"面","semantic_template":"qf-geometry-object-role/{\"role\":\"面\",\"symbol\":\"α18\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0019","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 P19 被指定為點。它的幾何角色是？","answer":{"kind":"choice","value":"點","choices":["點","線","面"],"explanation_zh":"題幹明示 P19 是點；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260936,"parameters":{"symbol":"P19","role":"點","semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P19\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0020","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 l20 被指定為線。它的幾何角色是？","answer":{"kind":"choice","value":"線","choices":["點","線","面"],"explanation_zh":"題幹明示 l20 是線；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260937,"parameters":{"symbol":"l20","role":"線","semantic_template":"qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l20\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0021","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 α21 被指定為面。它的幾何角色是？","answer":{"kind":"choice","value":"面","choices":["點","線","面"],"explanation_zh":"題幹明示 α21 是面；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260938,"parameters":{"symbol":"α21","role":"面","semantic_template":"qf-geometry-object-role/{\"role\":\"面\",\"symbol\":\"α21\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0022","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 P22 被指定為點。它的幾何角色是？","answer":{"kind":"choice","value":"點","choices":["點","線","面"],"explanation_zh":"題幹明示 P22 是點；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260939,"parameters":{"symbol":"P22","role":"點","semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P22\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0023","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 l23 被指定為線。它的幾何角色是？","answer":{"kind":"choice","value":"線","choices":["點","線","面"],"explanation_zh":"題幹明示 l23 是線；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260940,"parameters":{"symbol":"l23","role":"線","semantic_template":"qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l23\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0024","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 α24 被指定為面。它的幾何角色是？","answer":{"kind":"choice","value":"面","choices":["點","線","面"],"explanation_zh":"題幹明示 α24 是面；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260941,"parameters":{"symbol":"α24","role":"面","semantic_template":"qf-geometry-object-role/{\"role\":\"面\",\"symbol\":\"α24\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-geometry-object-role-0025","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-geometry-object-role","stem_zh":"在明示模型中，符號 P25 被指定為點。它的幾何角色是？","answer":{"kind":"choice","value":"點","choices":["點","線","面"],"explanation_zh":"題幹明示 P25 是點；不依圖形外觀判定。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["點線面角色"]},"variant":{"family_id":"qf-geometry-object-role","seed":20260942,"parameters":{"symbol":"P25","role":"點","semantic_template":"qf-geometry-object-role/{\"role\":\"點\",\"symbol\":\"P25\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0001","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P1 在 l1 上。P1 是否與 l1 入射？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"依明示入射資料，P1在l1 上。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261018,"parameters":{"point":"P1","line":"l1","on":true,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l1\",\"on\":true,\"point\":\"P1\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0002","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P2 不在 l2 上。P2 是否與 l2 入射？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"依明示入射資料，P2不在l2 上。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261019,"parameters":{"point":"P2","line":"l2","on":false,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l2\",\"on\":false,\"point\":\"P2\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0003","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P3 在 l3 上。P3 是否與 l3 入射？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"依明示入射資料，P3在l3 上。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261020,"parameters":{"point":"P3","line":"l3","on":true,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l3\",\"on\":true,\"point\":\"P3\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0004","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P4 不在 l4 上。P4 是否與 l4 入射？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"依明示入射資料，P4不在l4 上。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261021,"parameters":{"point":"P4","line":"l4","on":false,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l4\",\"on\":false,\"point\":\"P4\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0005","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P5 在 l5 上。P5 是否與 l5 入射？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"依明示入射資料，P5在l5 上。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261022,"parameters":{"point":"P5","line":"l5","on":true,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l5\",\"on\":true,\"point\":\"P5\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0006","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P6 不在 l6 上。P6 是否與 l6 入射？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"依明示入射資料，P6不在l6 上。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261023,"parameters":{"point":"P6","line":"l6","on":false,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l6\",\"on\":false,\"point\":\"P6\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0007","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P7 在 l7 上。P7 是否與 l7 入射？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"依明示入射資料，P7在l7 上。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261024,"parameters":{"point":"P7","line":"l7","on":true,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l7\",\"on\":true,\"point\":\"P7\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0008","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P8 不在 l8 上。P8 是否與 l8 入射？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"依明示入射資料，P8不在l8 上。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261025,"parameters":{"point":"P8","line":"l8","on":false,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l8\",\"on\":false,\"point\":\"P8\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0009","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P9 在 l9 上。P9 是否與 l9 入射？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"依明示入射資料，P9在l9 上。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261026,"parameters":{"point":"P9","line":"l9","on":true,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l9\",\"on\":true,\"point\":\"P9\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0010","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P10 不在 l10 上。P10 是否與 l10 入射？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"依明示入射資料，P10不在l10 上。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261027,"parameters":{"point":"P10","line":"l10","on":false,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l10\",\"on\":false,\"point\":\"P10\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0011","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P11 在 l11 上。P11 是否與 l11 入射？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"依明示入射資料，P11在l11 上。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261028,"parameters":{"point":"P11","line":"l11","on":true,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l11\",\"on\":true,\"point\":\"P11\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0012","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P12 不在 l12 上。P12 是否與 l12 入射？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"依明示入射資料，P12不在l12 上。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261029,"parameters":{"point":"P12","line":"l12","on":false,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l12\",\"on\":false,\"point\":\"P12\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0013","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P13 在 l13 上。P13 是否與 l13 入射？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"依明示入射資料，P13在l13 上。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261030,"parameters":{"point":"P13","line":"l13","on":true,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l13\",\"on\":true,\"point\":\"P13\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0014","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P14 不在 l14 上。P14 是否與 l14 入射？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"依明示入射資料，P14不在l14 上。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261031,"parameters":{"point":"P14","line":"l14","on":false,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l14\",\"on\":false,\"point\":\"P14\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0015","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P15 在 l15 上。P15 是否與 l15 入射？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"依明示入射資料，P15在l15 上。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261032,"parameters":{"point":"P15","line":"l15","on":true,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l15\",\"on\":true,\"point\":\"P15\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0016","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P16 不在 l16 上。P16 是否與 l16 入射？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"依明示入射資料，P16不在l16 上。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261033,"parameters":{"point":"P16","line":"l16","on":false,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l16\",\"on\":false,\"point\":\"P16\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0017","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P17 在 l17 上。P17 是否與 l17 入射？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"依明示入射資料，P17在l17 上。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261034,"parameters":{"point":"P17","line":"l17","on":true,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l17\",\"on\":true,\"point\":\"P17\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0018","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P18 不在 l18 上。P18 是否與 l18 入射？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"依明示入射資料，P18不在l18 上。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261035,"parameters":{"point":"P18","line":"l18","on":false,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l18\",\"on\":false,\"point\":\"P18\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0019","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P19 在 l19 上。P19 是否與 l19 入射？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"依明示入射資料，P19在l19 上。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261036,"parameters":{"point":"P19","line":"l19","on":true,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l19\",\"on\":true,\"point\":\"P19\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0020","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P20 不在 l20 上。P20 是否與 l20 入射？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"依明示入射資料，P20不在l20 上。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261037,"parameters":{"point":"P20","line":"l20","on":false,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l20\",\"on\":false,\"point\":\"P20\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0021","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P21 在 l21 上。P21 是否與 l21 入射？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"依明示入射資料，P21在l21 上。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261038,"parameters":{"point":"P21","line":"l21","on":true,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l21\",\"on\":true,\"point\":\"P21\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0022","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P22 不在 l22 上。P22 是否與 l22 入射？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"依明示入射資料，P22不在l22 上。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261039,"parameters":{"point":"P22","line":"l22","on":false,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l22\",\"on\":false,\"point\":\"P22\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0023","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P23 在 l23 上。P23 是否與 l23 入射？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"依明示入射資料，P23在l23 上。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261040,"parameters":{"point":"P23","line":"l23","on":true,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l23\",\"on\":true,\"point\":\"P23\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0024","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P24 不在 l24 上。P24 是否與 l24 入射？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"依明示入射資料，P24不在l24 上。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261041,"parameters":{"point":"P24","line":"l24","on":false,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l24\",\"on\":false,\"point\":\"P24\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-incidence-language-0025","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-incidence-language","stem_zh":"明示入射資料：P25 在 l25 上。P25 是否與 l25 入射？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"依明示入射資料，P25在l25 上。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["明示入射"]},"variant":{"family_id":"qf-explicit-incidence-language","seed":20261042,"parameters":{"point":"P25","line":"l25","on":true,"semantic_template":"qf-explicit-incidence-language/{\"line\":\"l25\",\"on\":true,\"point\":\"P25\"}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0001","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P1、Q1、R1 共線。三點是否共線？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261118,"parameters":{"points":["P1","Q1","R1"],"collinear":true,"explicit_negative":false,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P1\",\"Q1\",\"R1\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0002","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P2、Q2、R2 不共線。三點是否共線？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261119,"parameters":{"points":["P2","Q2","R2"],"collinear":false,"explicit_negative":true,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P2\",\"Q2\",\"R2\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0003","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P3、Q3、R3 共線。三點是否共線？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261120,"parameters":{"points":["P3","Q3","R3"],"collinear":true,"explicit_negative":false,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P3\",\"Q3\",\"R3\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0004","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P4、Q4、R4 不共線。三點是否共線？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261121,"parameters":{"points":["P4","Q4","R4"],"collinear":false,"explicit_negative":true,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P4\",\"Q4\",\"R4\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0005","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P5、Q5、R5 共線。三點是否共線？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261122,"parameters":{"points":["P5","Q5","R5"],"collinear":true,"explicit_negative":false,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P5\",\"Q5\",\"R5\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0006","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P6、Q6、R6 不共線。三點是否共線？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261123,"parameters":{"points":["P6","Q6","R6"],"collinear":false,"explicit_negative":true,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P6\",\"Q6\",\"R6\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0007","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P7、Q7、R7 共線。三點是否共線？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261124,"parameters":{"points":["P7","Q7","R7"],"collinear":true,"explicit_negative":false,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P7\",\"Q7\",\"R7\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0008","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P8、Q8、R8 不共線。三點是否共線？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261125,"parameters":{"points":["P8","Q8","R8"],"collinear":false,"explicit_negative":true,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P8\",\"Q8\",\"R8\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0009","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P9、Q9、R9 共線。三點是否共線？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261126,"parameters":{"points":["P9","Q9","R9"],"collinear":true,"explicit_negative":false,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P9\",\"Q9\",\"R9\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0010","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P10、Q10、R10 不共線。三點是否共線？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261127,"parameters":{"points":["P10","Q10","R10"],"collinear":false,"explicit_negative":true,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P10\",\"Q10\",\"R10\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0011","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P11、Q11、R11 共線。三點是否共線？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261128,"parameters":{"points":["P11","Q11","R11"],"collinear":true,"explicit_negative":false,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P11\",\"Q11\",\"R11\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0012","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P12、Q12、R12 不共線。三點是否共線？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261129,"parameters":{"points":["P12","Q12","R12"],"collinear":false,"explicit_negative":true,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P12\",\"Q12\",\"R12\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0013","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P13、Q13、R13 共線。三點是否共線？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261130,"parameters":{"points":["P13","Q13","R13"],"collinear":true,"explicit_negative":false,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P13\",\"Q13\",\"R13\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0014","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P14、Q14、R14 不共線。三點是否共線？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261131,"parameters":{"points":["P14","Q14","R14"],"collinear":false,"explicit_negative":true,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P14\",\"Q14\",\"R14\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0015","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P15、Q15、R15 共線。三點是否共線？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261132,"parameters":{"points":["P15","Q15","R15"],"collinear":true,"explicit_negative":false,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P15\",\"Q15\",\"R15\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0016","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P16、Q16、R16 不共線。三點是否共線？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261133,"parameters":{"points":["P16","Q16","R16"],"collinear":false,"explicit_negative":true,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P16\",\"Q16\",\"R16\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0017","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P17、Q17、R17 共線。三點是否共線？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261134,"parameters":{"points":["P17","Q17","R17"],"collinear":true,"explicit_negative":false,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P17\",\"Q17\",\"R17\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0018","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P18、Q18、R18 不共線。三點是否共線？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261135,"parameters":{"points":["P18","Q18","R18"],"collinear":false,"explicit_negative":true,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P18\",\"Q18\",\"R18\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0019","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P19、Q19、R19 共線。三點是否共線？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261136,"parameters":{"points":["P19","Q19","R19"],"collinear":true,"explicit_negative":false,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P19\",\"Q19\",\"R19\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0020","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P20、Q20、R20 不共線。三點是否共線？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261137,"parameters":{"points":["P20","Q20","R20"],"collinear":false,"explicit_negative":true,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P20\",\"Q20\",\"R20\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0021","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P21、Q21、R21 共線。三點是否共線？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261138,"parameters":{"points":["P21","Q21","R21"],"collinear":true,"explicit_negative":false,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P21\",\"Q21\",\"R21\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0022","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P22、Q22、R22 不共線。三點是否共線？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261139,"parameters":{"points":["P22","Q22","R22"],"collinear":false,"explicit_negative":true,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P22\",\"Q22\",\"R22\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0023","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P23、Q23、R23 共線。三點是否共線？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261140,"parameters":{"points":["P23","Q23","R23"],"collinear":true,"explicit_negative":false,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P23\",\"Q23\",\"R23\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0024","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P24、Q24、R24 不共線。三點是否共線？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261141,"parameters":{"points":["P24","Q24","R24"],"collinear":false,"explicit_negative":true,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":false,\"explicit_negative\":true,\"points\":[\"P24\",\"Q24\",\"R24\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-collinearity-classification-0025","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-collinearity-classification","stem_zh":"明示資料：P25、Q25、R25 共線。三點是否共線？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共線；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共線","明示資料"]},"variant":{"family_id":"qf-explicit-collinearity-classification","seed":20261142,"parameters":{"points":["P25","Q25","R25"],"collinear":true,"explicit_negative":false,"semantic_template":"qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P25\",\"Q25\",\"R25\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0001","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P1、Q1、R1、S1 共面。四點是否共面？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261218,"parameters":{"points":["P1","Q1","R1","S1"],"coplanar":true,"explicit_negative":false,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P1\",\"Q1\",\"R1\",\"S1\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0002","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P2、Q2、R2、S2 不共面。四點是否共面？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261219,"parameters":{"points":["P2","Q2","R2","S2"],"coplanar":false,"explicit_negative":true,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P2\",\"Q2\",\"R2\",\"S2\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0003","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P3、Q3、R3、S3 共面。四點是否共面？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261220,"parameters":{"points":["P3","Q3","R3","S3"],"coplanar":true,"explicit_negative":false,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P3\",\"Q3\",\"R3\",\"S3\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0004","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P4、Q4、R4、S4 不共面。四點是否共面？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261221,"parameters":{"points":["P4","Q4","R4","S4"],"coplanar":false,"explicit_negative":true,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P4\",\"Q4\",\"R4\",\"S4\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0005","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P5、Q5、R5、S5 共面。四點是否共面？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261222,"parameters":{"points":["P5","Q5","R5","S5"],"coplanar":true,"explicit_negative":false,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P5\",\"Q5\",\"R5\",\"S5\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0006","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P6、Q6、R6、S6 不共面。四點是否共面？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261223,"parameters":{"points":["P6","Q6","R6","S6"],"coplanar":false,"explicit_negative":true,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P6\",\"Q6\",\"R6\",\"S6\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0007","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P7、Q7、R7、S7 共面。四點是否共面？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261224,"parameters":{"points":["P7","Q7","R7","S7"],"coplanar":true,"explicit_negative":false,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P7\",\"Q7\",\"R7\",\"S7\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0008","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P8、Q8、R8、S8 不共面。四點是否共面？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261225,"parameters":{"points":["P8","Q8","R8","S8"],"coplanar":false,"explicit_negative":true,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P8\",\"Q8\",\"R8\",\"S8\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0009","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P9、Q9、R9、S9 共面。四點是否共面？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261226,"parameters":{"points":["P9","Q9","R9","S9"],"coplanar":true,"explicit_negative":false,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P9\",\"Q9\",\"R9\",\"S9\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0010","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P10、Q10、R10、S10 不共面。四點是否共面？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261227,"parameters":{"points":["P10","Q10","R10","S10"],"coplanar":false,"explicit_negative":true,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P10\",\"Q10\",\"R10\",\"S10\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0011","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P11、Q11、R11、S11 共面。四點是否共面？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261228,"parameters":{"points":["P11","Q11","R11","S11"],"coplanar":true,"explicit_negative":false,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P11\",\"Q11\",\"R11\",\"S11\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0012","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P12、Q12、R12、S12 不共面。四點是否共面？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261229,"parameters":{"points":["P12","Q12","R12","S12"],"coplanar":false,"explicit_negative":true,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P12\",\"Q12\",\"R12\",\"S12\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0013","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P13、Q13、R13、S13 共面。四點是否共面？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261230,"parameters":{"points":["P13","Q13","R13","S13"],"coplanar":true,"explicit_negative":false,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P13\",\"Q13\",\"R13\",\"S13\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0014","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P14、Q14、R14、S14 不共面。四點是否共面？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261231,"parameters":{"points":["P14","Q14","R14","S14"],"coplanar":false,"explicit_negative":true,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P14\",\"Q14\",\"R14\",\"S14\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0015","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P15、Q15、R15、S15 共面。四點是否共面？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261232,"parameters":{"points":["P15","Q15","R15","S15"],"coplanar":true,"explicit_negative":false,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P15\",\"Q15\",\"R15\",\"S15\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0016","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P16、Q16、R16、S16 不共面。四點是否共面？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261233,"parameters":{"points":["P16","Q16","R16","S16"],"coplanar":false,"explicit_negative":true,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P16\",\"Q16\",\"R16\",\"S16\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0017","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P17、Q17、R17、S17 共面。四點是否共面？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261234,"parameters":{"points":["P17","Q17","R17","S17"],"coplanar":true,"explicit_negative":false,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P17\",\"Q17\",\"R17\",\"S17\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0018","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P18、Q18、R18、S18 不共面。四點是否共面？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261235,"parameters":{"points":["P18","Q18","R18","S18"],"coplanar":false,"explicit_negative":true,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P18\",\"Q18\",\"R18\",\"S18\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0019","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P19、Q19、R19、S19 共面。四點是否共面？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261236,"parameters":{"points":["P19","Q19","R19","S19"],"coplanar":true,"explicit_negative":false,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P19\",\"Q19\",\"R19\",\"S19\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0020","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P20、Q20、R20、S20 不共面。四點是否共面？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261237,"parameters":{"points":["P20","Q20","R20","S20"],"coplanar":false,"explicit_negative":true,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P20\",\"Q20\",\"R20\",\"S20\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0021","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P21、Q21、R21、S21 共面。四點是否共面？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261238,"parameters":{"points":["P21","Q21","R21","S21"],"coplanar":true,"explicit_negative":false,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P21\",\"Q21\",\"R21\",\"S21\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0022","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P22、Q22、R22、S22 不共面。四點是否共面？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261239,"parameters":{"points":["P22","Q22","R22","S22"],"coplanar":false,"explicit_negative":true,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P22\",\"Q22\",\"R22\",\"S22\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0023","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P23、Q23、R23、S23 共面。四點是否共面？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":3,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261240,"parameters":{"points":["P23","Q23","R23","S23"],"coplanar":true,"explicit_negative":false,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P23\",\"Q23\",\"R23\",\"S23\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0024","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P24、Q24、R24、S24 不共面。四點是否共面？","answer":{"kind":"choice","value":"否","choices":["是","否"],"explanation_zh":"題幹明示不共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":1,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261241,"parameters":{"points":["P24","Q24","R24","S24"],"coplanar":false,"explicit_negative":true,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":false,\"explicit_negative\":true,\"points\":[\"P24\",\"Q24\",\"R24\",\"S24\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20260917-explicit-coplanarity-classification-0025","batch_id":"batch-20260917-point-line-plane","language":"zh-Hant","source_mko_ids":["mko-point-line-plane"],"title_zh":"qf-explicit-coplanarity-classification","stem_zh":"明示資料：P25、Q25、R25、S25 共面。四點是否共面？","answer":{"kind":"choice","value":"是","choices":["是","否"],"explanation_zh":"題幹明示共面；不由視覺或圖形猜測。"},"difficulty":{"band":"upper_secondary","level":2,"skills":["共面","明示資料"]},"variant":{"family_id":"qf-explicit-coplanarity-classification","seed":20261242,"parameters":{"points":["P25","Q25","R25","S25"],"coplanar":true,"explicit_negative":false,"semantic_template":"qf-explicit-coplanarity-classification/{\"coplanar\":true,\"explicit_negative\":false,\"points\":[\"P25\",\"Q25\",\"R25\",\"S25\"]}"}},"verification":{"status":"candidate","checks":["schema_pending","independent_recomputation_pending"],"warning_zh":"本題是有限候選重算；不構成普遍證明、形式 Evidence 或人工審查。"},"provenance":{"generator_role":"question_producer","generator_model":"GPT-5.6 Terra","generated_at":"2026-09-17","contract_version":"ocme-question-factory-v0.1"}}
