{ "schema_version": "ocme-reviewed-question-reader-v1", "question_id": "q-20260917-geometry-object-role-0014", "pilot_number": "R0063-32414", "number": 32414, "family_id": "qf-geometry-object-role", "title": { "zh-Hant": "第 32414 題：qf-geometry-object-role", "en": "Question 32414: Geometric Object Role" }, "original_question": { "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" } }, "original_english_edition": { "schema_version": "ocme-question-localization-v0.1", "question_id": "q-20260917-geometry-object-role-0014", "batch_id": "batch-20260917-point-line-plane", "locale": "en", "translation_state": "ai_candidate", "source": { "question_sha256": "ba623893daa479079cdf09d260e8b7e60f39bb6fd1f40a5d717501d2fa5b2756", "family_id": "qf-geometry-object-role", "seed": 20260931, "semantic_template": "qf-geometry-object-role/{\"role\":\"線\",\"symbol\":\"l14\"}" }, "fields": { "title": "Geometric Object Role", "stem": "In the explicit model, the symbol l14 is designated as a line. What is its geometric role?", "answer": { "kind": "choice", "value": "Line", "choices": [ "Point", "Line", "Plane" ], "explanation": "The prompt explicitly designates l14 as a line; the answer is not inferred from visual appearance." }, "skills": [ "point-line-plane roles" ], "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": "在明示模型中，符號 l14 被指定為線。它的幾何角色是？", "en": "In the explicit model, the symbol l14 is designated as a line. What is its geometric role?" } } ], "steps": [ { "id": "S001", "uses": [ "G001" ], "before": "source roles = [qf-geometry-object-role, no-required-operation, no-required-domain, []]", "after": "derived = [[declared_SOURCE_role_STRING]]", "relation": "implies", "rule_id": "R63_SOURCE_bank_keys_operation_domain_output_roles_metadata_not_oracle", "conditions": [], "explanation": { "zh-Hant": "BASE來源沒有本輪legacy的通用operation/domain/額外欄位禁令；保metadata而不當答案。PULSE與legacy則核來源精確欄位、operation及domain。不要把tuple、/1或輸入界強套全部題族。", "en": "BASE sources do not acquire a generic legacy operation/domain or unknown-metadata ban.Retain metadata WITHOUT using it as an answer oracle.PULSE/legacy enforce their exact source keys,operation/domain.Do not impose universal tuples,/1 or input bounds." }, "reverse_audit": { "kind": "premise_and_result_audit", "explanation": { "zh-Hant": "依原始輸入、型別、論域及明示前提反向代回核對；不是由結論唯一還原前提。來源綁定候選、獨立審查、形式證明與發布各自分開。", "en": "Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate." } }, "arithmetic": null }, { "id": "S002", "uses": [ "G001", "S001" ], "before": "source roles = [l14, geometry-role: 線]", "after": "derived = [geometry-role: 線]", "relation": "implies", "rule_id": "Geometry_ROLE_explicit_declaration_NOT_picture_or_dimension_inference", "conditions": [], "explanation": { "zh-Hant": "題目明示symbol角色為點／線／面，依宣告回答；不靠符號外觀、坐標或圖形尺寸猜幾何事實。role的中英顯示加脈絡前綴，原資料不改。", "en": "The prompt EXPLICITLY declares the symbol role as point/line/plane.Answer that declaration,not visual appearance,coordinates or rendered size.Use a contextual display prefix without changing original data." }, "reverse_audit": { "kind": "premise_and_result_audit", "explanation": { "zh-Hant": "依原始輸入、型別、論域及明示前提反向代回核對；不是由結論唯一還原前提。來源綁定候選、獨立審查、形式證明與發布各自分開。", "en": "Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate." } }, "arithmetic": null } ], "math_model": { "result": "線" }, "conclusion": { "canonical_value": "線", "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": 14, "original_line_sha256": "5633e7d7c6b2f4bb2796f61f7fbb3ac442f81f8ce6016c20aec30ae74dde2241", "question_compact_sha256": "ba623893daa479079cdf09d260e8b7e60f39bb6fd1f40a5d717501d2fa5b2756", "english_row_compact_sha256": "a2c6753df55662677b95e56100dc1318a1cb517596d956a6fd9e0fa7f1962567", "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": "f3271d6047df957dbf3d61120bd3dd374784c828b17849887e14caf59d93f745", "original_candidate_sha256": "58d7cddf639dc10255b141b5b70e80593e6ac538700e310c7b6b30b645125300", "original_candidate_line_sha256": "58d7cddf639dc10255b141b5b70e80593e6ac538700e310c7b6b30b645125300" }, "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-20261026-011-p64", "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": "acf03b776f4855e3869810bcbecf1116e3a2b11dfb1e2a5dfbcf8135ad24a7d0", "question_first_witness_sha256": "eadbbac3220988b52754f32450fb536d627217306d1ce28a49134f56c21bfa88" }, "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": "01e6cb0d9fa5f31d6b54d931ad0791c88b299b8430c46873339f4a3984f76f38", "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." } }