{"ok":true,"question":{"id":21014,"question_uuid":"71b1b7ab-734e-445f-badf-6610a959026b","job_id":4,"source_file":"A中考/2026江苏中考期末数学试卷+答案820.pdf","source_page_start":8,"source_page_end":8,"source_bbox":"[30.0, 121.9, 541.08, 369.67]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"single_choice","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"如图，在\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\odot O\"}, {\"text\": \"中，\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"AB\"}, {\"text\": \"是弦，\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"C\"}, {\"text\": \"是弧\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"AB\"}, {\"text\": \"上一点. 若\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\angle OAB = 25^{\\\\circ}\"}, {\"text\": \"，\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\angle OCA = 40^{\\\\circ}\"}, {\"text\": \"，则\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\angle BOC\"}, {\"text\": \"的度数为( ).\", \"type\": \"text\"}, {\"kind\": \"embedded_image\", \"type\": \"figure\", \"width\": 708, \"height\": 558, \"sha256\": \"6b40a73a569dbdce1f50b0344f5b04376c556d52d7a8aeff8f4c4bf7d7c1cf1b\", \"caption\": \"\", \"asset_key\": \"math/2026/09/16de2e24-a616-456b-83c5-3364ab6bd928/71b1b7ab-734e-445f-badf-6610a959026b/6b40a73a569d.png\", \"public_url\": \"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/16de2e24-a616-456b-83c5-3364ab6bd928/71b1b7ab-734e-445f-badf-6610a959026b/6b40a73a569d.png\", \"source_bbox\": [30.0, 156.91998291015625, 171.69000244140625, 271.91998291015625], \"source_page\": 8}, {\"type\": \"option\", \"label\": \"A\", \"blocks\": [{\"text\": \"30∘\", \"type\": \"text\"}], \"source_bbox\": [30.0, 309.13, 83.54, 322.87], \"source_page\": 8}, {\"type\": \"option\", \"label\": \"B\", \"blocks\": [{\"text\": \"40∘\", \"type\": \"text\"}], 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\"3b88013841529a1b3285bf25660a74129089afd911031cfd13a494a81823441d\"}","body_html":"<div>如图，在\\(\\odot O\\)中，\\(AB\\)是弦，\\(C\\)是弧\\(AB\\)上一点. 若\\(\\angle OAB = 25^{\\circ}\\)，\\(\\angle OCA = 40^{\\circ}\\)，则\\(\\angle BOC\\)的度数为( ).<img class=\"question-figure\" src=\"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/16de2e24-a616-456b-83c5-3364ab6bd928/71b1b7ab-734e-445f-badf-6610a959026b/6b40a73a569d.png\" style=\"width:188.9px!important;max-width:100%;height:auto\" alt=\"\" title=\"点击查看原图\"><br>A. 30∘<br>B. 40∘<br>C. 50∘<br>D. 60∘</div>","answer_html":"","ways_html":"","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.95,"error_message":"QA failed: 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25^{\\circ} ， \\angle OCA = 40^{\\circ} ，则 \\angle BOC 的度数为( ). [图] A. 30∘ B. 40∘ C. 50∘ D. 60∘","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-24T22:03:14"},{"id":413422,"import_question_id":21014,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\odot O; AB; C; AB; \\angle OAB = 25^{\\circ}","result_json":"{\"risky\": 2, \"issues\": [], \"checked\": 7, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-24T22:03:14"},{"id":413423,"import_question_id":21014,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"如图，在 \\odot O 中， AB 是弦， C 是弧 AB 上一点. 若 \\angle OAB = 25^{\\circ} ， \\angle OCA = 40^{\\circ} ，则 \\angle BOC 的度数为( ). [图] A. 30∘ B. 40∘ C. 50∘ D. 60∘","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-24T22:03:14"},{"id":413435,"import_question_id":21014,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":1.0,"input_snapshot":"题干：\n如图，在\\(\\odot O\\)中，\\(AB\\)是弦，\\(C\\)是弧\\(AB\\)上一点. 若\\(\\angle OAB = 25^{\\circ}\\)，\\(\\angle OCA = 40^{\\circ}\\)，则\\(\\angle BOC\\)的度数为( ). A. 30∘ B. 40∘ C. 50∘ D. 60∘\n答案：\n\n解析：\n","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 1.0, \"suggestions\": [\"建议在解析中补充连接OC后对△OAC进行角度分析的详细步骤，以增强逻辑连贯性。\"]}","created_at":"2026-09-24T22:03:43"},{"id":413438,"import_question_id":21014,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.9,"input_snapshot":"如图，在 \\odot O 中， AB 是弦， C 是弧 AB 上一点. 若 \\angle OAB = 25^{\\circ} ， \\angle OCA = 40^{\\circ} ，则 \\angle BOC 的度数为( ). [图] A. 30∘ B. 40∘ C. 50∘ D. 60∘","result_json":"{\"basis\": \"连接OA、OB、OC。因为OA=OB，所以△OAB是等腰三角形，∠OBA=∠OAB=25°，则∠AOB=180°-25°-25°=130°。因为OA=OC，所以△OAC是等腰三角形，∠OAC=∠OCA=40°，则∠AOC=180°-40°-40°=100°。因此，∠BOC=∠AOB-∠AOC=130°-100°=30°。\", \"answer\": \"C\", \"confidence\": 0.9, \"handout_chars\": 0}","created_at":"2026-09-24T22:04:13"},{"id":413439,"import_question_id":21014,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案: || 盲解:C","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-24T22:04:13"},{"id":413440,"import_question_id":21014,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.5,"input_snapshot":"答案: || 盲解:C","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"未提取到来源答案\"}, \"status\": \"WARN\", \"applicable\": true}","created_at":"2026-09-24T22:04:13"},{"id":413448,"import_question_id":21014,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案: || 解析:","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"解析为空，缺少必要的推导过程。\"], \"confidence\": 0.9, \"equation_checks\": []}","created_at":"2026-09-24T22:04:58"},{"id":413449,"import_question_id":21014,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.95,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"COHERENCE\", \"ANSWER\"]}","created_at":"2026-09-24T22:04:58"},{"id":413808,"import_question_id":21014,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.8,"input_snapshot":"如图，在 \\odot O 中， AB 是弦， C 是弧 AB 上一点. 若 \\angle OAB = 25^{\\circ} ， \\angle OCA = 40^{\\circ} ，则 \\angle BOC 的度数为( ). [图] A. 30∘ B. 40∘ C. 50∘ D. 60∘","result_json":"{\"basis\": \"连接OC。因为OA=OC（半径），所以△OAC是等腰三角形，∠OAC=∠OCA=40°。又∠OAB=25°，所以∠BAC=∠OAC-∠OAB=15°。根据圆周角定理，圆心角∠BOC=2×∠BAC=30°。\", \"answer\": \"C\", \"confidence\": 0.8, \"handout_chars\": 0}","created_at":"2026-09-24T22:06:06"},{"id":413809,"import_question_id":21014,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:C || 盲解:C","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-24T22:06:06"},{"id":413837,"import_question_id":21014,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案:C || 解析:连接OA、OC、OB。因为OA=OC（均为圆的半径），所以△OAC是等腰三角形，∠OAC=∠OCA=40°。又因为∠OAB=25°，所以∠BAC=∠OAC-∠OAB=40°-25°=15°。因为∠BAC是圆周角，对应的圆心角是∠BOC，所以∠BOC=\\(2\\times\\)∠BAC=\\(2\\times 15°=30°\\)。因此，正确答案为A。","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"解析中角度相减顺序错误，导致∠BAC计算错误；进而使圆心角∠BOC推导结果错误。\", \"∠BAC = ∠OAC - ∠OAB = 40° - 25° = 15°: 根据图形位置，点B在弧AC上，因此∠OAB应大于∠OAC，实际应为∠BAC = ∠OAB - ∠OAC = 25° - 40° = -15°（取绝对值15°），但方向判断错误导致逻辑矛盾。\", \"∠BOC = 2 × ∠BAC = 2 × 15° = 30°: 圆周角∠BAC对应弧BC，圆心角应为∠BOC，但根据正确角度关系，∠BAC实际应为5°，故∠BOC = 10°，与选项不符，说明原推导有误。\"], \"confidence\": 0.9, \"equation_checks\": [{\"valid\": false, \"reason\": \"根据图形位置，点B在弧AC上，因此∠OAB应大于∠OAC，实际应为∠BAC = ∠OAB - ∠OAC = 25° - 40° = -15°（取绝对值15°），但方向判断错误导致逻辑矛盾。\", \"equation\": \"∠BAC = ∠OAC - ∠OAB = 40° - 25° = 15°\"}, {\"valid\": false, \"reason\": \"圆周角∠BAC对应弧BC，圆心角应为∠BOC，但根据正确角度关系，∠BAC实际应为5°，故∠BOC = 10°，与选项不符，说明原推导有误。\", \"equation\": \"∠BOC = 2 × ∠BAC = 2 × 15° = 30°\"}]}","created_at":"2026-09-24T22:07:42"},{"id":413838,"import_question_id":21014,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:C || 盲解:C","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案一致\"}, \"status\": \"PASS\", \"applicable\": true}","created_at":"2026-09-24T22:07:42"},{"id":413839,"import_question_id":21014,"audit_type":"AUTO_REPAIR_ATTEMPT","auditor_name":"answer-repair","status":"FAIL","score":0.9,"input_snapshot":null,"result_json":"{\"critic\": true, \"symbolic\": true, \"coherence\": false, \"consensus\": \"two_solvers+symbolic+critic+coherence\", \"confidence\": 0.9, \"verifier_base\": \"http://127.0.0.1:8092/v1\", \"verifier_confidence\": 0.8, \"critic_explicit_pass\": true, \"symbolic_literal_warn\": false, \"symbolic_explicit_pass\": true, \"coherence_explicit_pass\": false}","created_at":"2026-09-24T22:07:42"}]}