{
  "schema_version": "ocme-reviewed-question-reader-v1",
  "question_id": "q-20260922-angle-degree-classification-0011",
  "pilot_number": "R0001-01211",
  "number": 1211,
  "family_id": "qf-angle-degree-classification",
  "title": {
    "zh-Hant": "第 1211 題：明示度數的角分類",
    "en": "Question 1211: Classifying an Explicit Angle Measure"
  },
  "original_question": {
    "schema_version": "ocme-question-v0.1",
    "id": "q-20260922-angle-degree-classification-0011",
    "batch_id": "batch-20260922-angle-foundations",
    "language": "zh-Hant",
    "source_mko_ids": [
      "mko-angle"
    ],
    "title_zh": "明示度數的角分類",
    "stem_zh": "角 θ 的量值明示為 91°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？",
    "answer": {
      "kind": "short_text",
      "value": "鈍角",
      "explanation_zh": "θ=91°；依固定的整數度數區間分類，答案為鈍角。"
    },
    "difficulty": {
      "band": "lower_secondary",
      "level": 3,
      "skills": [
        "角度分類",
        "明示度數"
      ]
    },
    "variant": {
      "family_id": "qf-angle-degree-classification",
      "seed": 20260933,
      "parameters": {
        "theta": 91,
        "unit": "degree",
        "range": "0<theta<=180",
        "operation": "classification",
        "semantic_template": "qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":91,\"unit\":\"degree\"}"
      }
    },
    "verification": {
      "status": "candidate",
      "checks": [
        "schema_pending",
        "independent_recomputation_pending"
      ],
      "warning_zh": "本題是 candidate 練習；機械重算僅核對明示條件與指定實例，並非形式證明或人工審查。"
    },
    "provenance": {
      "generator_role": "question_producer",
      "generator_model": "GPT-5.6 Terra",
      "generated_at": "2026-09-22",
      "contract_version": "ocme-question-factory-v0.1"
    }
  },
  "original_english_edition": {
    "schema_version": "ocme-question-localization-v0.1",
    "question_id": "q-20260922-angle-degree-classification-0011",
    "batch_id": "batch-20260922-angle-foundations",
    "locale": "en",
    "translation_state": "ai_candidate",
    "source": {
      "question_sha256": "5ca5f3f49cd58abf016f828855d5e70d0b04a192da775b255332e41ce7729530",
      "family_id": "qf-angle-degree-classification",
      "seed": 20260933,
      "semantic_template": "qf-angle-degree-classification/{\"operation\":\"classification\",\"range\":\"0<theta<=180\",\"theta\":91,\"unit\":\"degree\"}"
    },
    "fields": {
      "title": "Classifying an Explicit Angle Measure",
      "stem": "Angle θ has the explicitly stated integer measure 91°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?",
      "answer": {
        "kind": "short_text",
        "value": "obtuse angle",
        "explanation": "θ=91°. Applying the fixed degree intervals gives obtuse angle."
      },
      "skills": [
        "angle classification",
        "explicit degree measure"
      ],
      "verification_warning": "This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."
    }
  },
  "givens": [
    {
      "id": "G001",
      "text": {
        "zh-Hant": "角 θ 的量值明示為 91°（整數度數，且不依圖形外觀判斷）。θ 屬於銳角、直角、鈍角或平角哪一類？",
        "en": "Angle θ has the explicitly stated integer measure 91°. Without inferring from a drawing, is θ acute, right, obtuse, or straight?"
      }
    }
  ],
  "steps": [
    {
      "id": "S001",
      "uses": [
        "G001"
      ],
      "before": "angle measurements are explicit integers in degrees",
      "after": "classification uses values, not diagram appearance",
      "relation": "implies",
      "rule_id": "degree_measure_domain",
      "conditions": [],
      "explanation": {
        "zh-Hant": "先保留度數單位與題目宣告範圍，不從圖形外觀估量。",
        "en": "Retain degree units and the declared range rather than estimating from a diagram."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S002",
      "uses": [
        "G001",
        "S001"
      ],
      "before": "θ=91°",
      "after": "acute:0<θ<90; right:θ=90; obtuse:90<θ<180; straight:θ=180",
      "relation": "implies",
      "rule_id": "exhaustive_angle_intervals",
      "conditions": [],
      "explanation": {
        "zh-Hant": "四個互斥範圍覆蓋本題宣告的全部角度。",
        "en": "The four disjoint cases cover the full declared angle range."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S003",
      "uses": [
        "G001",
        "S002"
      ],
      "before": "θ−90 := sub(91, 90)",
      "after": "θ−90 = 1",
      "relation": "calculation",
      "rule_id": "exact_rational_arithmetic",
      "conditions": [],
      "explanation": {
        "zh-Hant": "先核對相對90度的位置，再檢查180度端點。",
        "en": "Check position relative to90, then the180-degree endpoint."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "以精確有理數重算 θ−90，不以小數近似替代。",
          "en": "Recompute θ−90 with exact rational arithmetic, not rounded decimals."
        }
      },
      "arithmetic": {
        "operation": "sub",
        "inputs": [
          "91",
          "90"
        ],
        "output": "1",
        "label": "θ−90"
      }
    },
    {
      "id": "S004",
      "uses": [
        "G001",
        "S003"
      ],
      "before": "θ=91°; θ−90=1",
      "after": "category=鈍角",
      "relation": "implies",
      "rule_id": "angle_case_selection",
      "conditions": [],
      "explanation": {
        "zh-Hant": "依嚴格界線及等號選唯一分類；90與180不可放進錯誤開區間。",
        "en": "Use strict boundaries and equality to select one case; do not place90 or180 in the wrong open interval."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    }
  ],
  "math_model": {
    "theta": 91,
    "category": "鈍角"
  },
  "conclusion": {
    "canonical_value": "鈍角",
    "explanation": {
      "zh-Hant": "依上列完整代值及條件核對得到原題答案；原題編號、格式與狀態保持不變。",
      "en": "The full substitutions and premise checks give the original answer; source identity,format and status are unchanged."
    }
  },
  "definition_note": {
    "zh-Hant": "沿用原題明示的論域、假設與來源 MKO 定義。本題已完成第二對話數理與中英語義覆核，並由原始參數逐題獨立重算模型、答案與每個算術步驟；原題仍為 candidate。",
    "en": "Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate."
  },
  "source": {
    "input_commit": "0f7be61e2c22317a4075561dc822c87d881a50db",
    "question_binding": {
      "batch_id": "batch-20260922-angle-foundations",
      "batch_path": "public/data/questions/batches/batch-20260922-angle-foundations/questions.jsonl",
      "batch_sha256": "c555a3fd7d6935bafab101087f804d4fd68cae57c83565d4e9ea920a778b2e56",
      "original_line": 11,
      "original_line_sha256": "e9328abcdfc7364737be31c21f66974b63d73b7bd0964af60aa1f06ff17e9fb8",
      "question_compact_sha256": "5ca5f3f49cd58abf016f828855d5e70d0b04a192da775b255332e41ce7729530",
      "english_row_compact_sha256": "0ced6fac70b95dcf455996b2c668a376b6d8a9a39997133457a2b624ee7ebec8",
      "english_manifest_path": "public/data/i18n/editions/batch-20260922-angle-foundations.en.json",
      "english_rows_path": "public/data/i18n/questions/batch-20260922-angle-foundations.en.jsonl"
    },
    "mko_bindings": {
      "mko-angle": {
        "sha256": "e77eca47694501f576639c69b49c366d6053b453055167a92e61e9a9b88626da",
        "english_sha256": "c5cbf3ced06829082efdaaf6f2d97bf231e72f882e785bc6b4ecdf390768cc8b",
        "original_path": "public/data/mko/angle.json",
        "english_path": "public/data/i18n/editions/mko-angle.en.json"
      }
    },
    "selected_manifest_sha256": "5233edba9654a6cffd8b6b2d83c932f82ded15f9c0b7c733bd049943e672acff",
    "selected_part_sha256": "b9fe70a7a264c90c20349be0449b2bd1a1b4d0e0a97092bc9fbcb7ca36ce0694",
    "original_candidate_sha256": "7569b520fba8abe91a936f0b44017d4f7bc583d24302e6d78ae7ef6a251ad580",
    "original_candidate_line_sha256": "7569b520fba8abe91a936f0b44017d4f7bc583d24302e6d78ae7ef6a251ad580"
  },
  "historical_source_state": {
    "review_state": {
      "derivation": "candidate_authored_and_locally_checked",
      "source_question_state": "candidate",
      "independent_AI_or_human_review": "NOT_PERFORMED",
      "formalization": "not_formalized",
      "Lean": "NOT_RUN"
    },
    "scope_note": {
      "zh-Hant": "來源綁定教學推導候選；精確核對不等於獨立AI／人工審查或一般形式證明。原題、答案、MKO、公式、AST與歷史不變。",
      "en": "Source-bound pedagogical derivation candidate.Exact checking is not independent AI/human review or general formal proof.Original questions,answers,MKOs,formulas,ASTs and history remain unchanged."
    },
    "label": "Frozen producer metadata; current per-question review is separate below."
  },
  "revision": {
    "id": "review-20261026-004-p2",
    "review_date": "2026-10-26",
    "owner_authorized_reader_publication": true,
    "scope": "One hundred sixty family prototypes and their mathematical/bilingual reasoning variants, stems, boundary statements and every distinct explanation shape were reviewed in a context independent of the producer; parameter substitutions, source bindings, full math models, both answer strings and every arithmetic step were independently reconstructed per question from the original parameters only, with negative controls. This grouped method does not claim a separate literal AI reading of every repeated sentence or an extra AI voter.",
    "review_receipts": {
      "semantic_review_sha256": "c3b44ce8ed60ada6902fb206627537d5f90ba2a867eaba43a36f903280c496cc",
      "question_first_witness_sha256": "3e91602adc7f81a2671a2a3ffaf6a447028b56abc5853e8271673d76f30cd7ad"
    },
    "status": "second_context_reviewed",
    "mathematical_semantics": true,
    "bilingual_semantics": true,
    "steps_reviewed": 4,
    "method": "family_template_semantic_review_plus_independent_per_instance_reconstruction",
    "exact_question_first_check": {
      "model_sha256": "f4894eba39fb17d219113d9e6491e93dac72992f9e0b2bea6a8dcbcbefbf66e1",
      "arithmetic_steps": 1
    },
    "uses_answer_as_premise": false,
    "human_review": "NOT_PERFORMED",
    "formalization": "not_formalized",
    "Lean": "NOT_RUN",
    "Canonical_truth_promotion": false,
    "authority": "Owner-authorized reviewed reader publication; original question/candidate states remain historical and unchanged."
  }
}