{
  "schema_version": "ocme-reviewed-question-reader-v1",
  "question_id": "q-20260917-explicit-collinearity-classification-0009",
  "pilot_number": "R0016-08609",
  "number": 8609,
  "family_id": "qf-explicit-collinearity-classification",
  "title": {
    "zh-Hant": "第 8609 題：qf-explicit-collinearity-classification",
    "en": "Question 8609: Explicit Collinearity"
  },
  "original_question": {
    "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"
    }
  },
  "original_english_edition": {
    "schema_version": "ocme-question-localization-v0.1",
    "question_id": "q-20260917-explicit-collinearity-classification-0009",
    "batch_id": "batch-20260917-point-line-plane",
    "locale": "en",
    "translation_state": "ai_candidate",
    "source": {
      "question_sha256": "60a173b4f230277a38cb9958e6649278dd5bfe0522ad21a93fd7e75df29275fc",
      "family_id": "qf-explicit-collinearity-classification",
      "seed": 20261126,
      "semantic_template": "qf-explicit-collinearity-classification/{\"collinear\":true,\"explicit_negative\":false,\"points\":[\"P9\",\"Q9\",\"R9\"]}"
    },
    "fields": {
      "title": "Explicit Collinearity",
      "stem": "Explicit data: P9, Q9, R9 are collinear. Are the three points collinear?",
      "answer": {
        "kind": "choice",
        "value": "Yes",
        "choices": [
          "Yes",
          "No"
        ],
        "explanation": "The prompt explicitly states that the points are collinear; no conclusion is inferred from a drawing."
      },
      "skills": [
        "collinearity",
        "explicit data"
      ],
      "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": "明示資料：P9、Q9、R9 共線。三點是否共線？",
        "en": "Explicit data: P9, Q9, R9 are collinear. Are the three points collinear?"
      }
    }
  ],
  "steps": [
    {
      "id": "S001",
      "uses": [
        "G001"
      ],
      "before": "explicit typed incidence data;no coordinate or visual premise supplied",
      "after": "read the stated predicate;absence of a premise is not its negation",
      "relation": "implies",
      "rule_id": "declared_geometry_not_visual_inference",
      "conditions": [],
      "explanation": {
        "zh-Hant": "這是讀取明示幾何前提，不依圖形外觀推測；未給條件不等於給了否定條件，也不補造座標或方程。",
        "en": "Read the explicit geometric premise without inferring from appearance.An absent premise is not a negative premise;do not invent coordinates or equations."
      },
      "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": "distinct point labels=[P9, Q9, R9];declared collinear=是;explicit negative=否",
      "after": "answer=是",
      "relation": "implies",
      "rule_id": "declared_same_line_or_plane_predicate",
      "conditions": [],
      "explanation": {
        "zh-Hant": "共線指這些點同在某一直線，共面指同在某一平面；本題已明示其正或負判斷，因此依前提回答，不由標籤、畫法或缺資料推出不共線／不共面。",
        "en": "Collinearity means lying on one line,and coplanarity lying in one plane.The positive or negative predicate is explicit here,so answer from that premise,not from labels,drawings or missing data."
      },
      "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": {
    "result": true
  },
  "conclusion": {
    "canonical_value": "是",
    "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-20260917-point-line-plane",
      "batch_path": "public/data/questions/batches/batch-20260917-point-line-plane/questions.jsonl",
      "batch_sha256": "b0b122089dc537d76c665030633bc0511400aa2889ec63039e119b26e0c2f487",
      "original_line": 59,
      "original_line_sha256": "2bac7ad6dd32b3b1989ea22d1539038ddaa7286945e4247a554e1bb356e99677",
      "question_compact_sha256": "60a173b4f230277a38cb9958e6649278dd5bfe0522ad21a93fd7e75df29275fc",
      "english_row_compact_sha256": "b2bf5c6baa644b0fe38fbb522c8e1ad01a0084b7c66178d791339686cb87b2c7",
      "english_manifest_path": "public/data/i18n/editions/batch-20260917-point-line-plane.en.json",
      "english_rows_path": "public/data/i18n/questions/batch-20260917-point-line-plane.en.jsonl"
    },
    "mko_bindings": {
      "mko-point-line-plane": {
        "sha256": "abf9d0f665f79eaddd4998e3b6080630ebd88fba8faec86475aa135d364f1efd",
        "english_sha256": "aa345ddc765beb7dfffbbb0ddbd644b696872c309ee1222406688ea8469a69cf",
        "original_path": "public/data/mko/point-line-plane.json",
        "english_path": "public/data/i18n/editions/mko-point-line-plane.en.json"
      }
    },
    "selected_manifest_sha256": "5233edba9654a6cffd8b6b2d83c932f82ded15f9c0b7c733bd049943e672acff",
    "selected_part_sha256": "8e8954cf690c44da1ec1efa08994a485c73ca8706b7865d854e3f2cdfd4ca89f",
    "original_candidate_sha256": "e8192ea2d79740e06d6d2fe46825f5e8ab481dea2957a8173fd03ea489c1a425",
    "original_candidate_line_sha256": "e8192ea2d79740e06d6d2fe46825f5e8ab481dea2957a8173fd03ea489c1a425"
  },
  "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-20261026-005-p17",
    "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": "00fcddb10a9fb0f56697308976a52e68e2537472bd8e68ecbe96d3c4553f4ad2",
      "question_first_witness_sha256": "198e04380b2d32aef2375b07ca0df1f8afa454d1184993173fad8a3c9187a3d1"
    },
    "status": "second_context_reviewed",
    "mathematical_semantics": true,
    "bilingual_semantics": true,
    "steps_reviewed": 2,
    "method": "family_template_semantic_review_plus_independent_per_instance_reconstruction",
    "exact_question_first_check": {
      "model_sha256": "39d160e97e2bea07b0cf1c647259ffa4f0bd07069dba4e6c19a22d38b408510f",
      "arithmetic_steps": 0
    },
    "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."
  }
}