{"ok":true,"question":{"id":21614,"question_uuid":"366d777b-581d-4d98-88fb-530248b05b91","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案45.pdf","source_page_start":6,"source_page_end":6,"source_bbox":"[30.0, 422.67, 449.74, 467.61]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"comprehensive","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"如图已知点O为直线AB上的一点，OM平分 ∠AOC, ∠AOC = 80∘, CO ⊥OD ．\", \"type\": \"text\"}, {\"kind\": \"embedded_image\", \"type\": \"figure\", \"width\": 1299, \"height\": 740, \"sha256\": \"2fa895f67ab99fd96081bff9873f22792b97cc2376414902ee50f818e6a07a46\", \"caption\": \"\", \"asset_key\": \"math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/366d777b-581d-4d98-88fb-530248b05b91/2fa895f67ab9.png\", \"public_url\": \"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/366d777b-581d-4d98-88fb-530248b05b91/2fa895f67ab9.png\", \"source_bbox\": [30.0, 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src=\"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/366d777b-581d-4d98-88fb-530248b05b91/2fa895f67ab9.png\" style=\"width:377.9px!important;max-width:100%;height:auto\" alt=\"\" title=\"点击查看原图\"><br>（1）求∠MOD的度数；<br>（2）若∠BOP与∠AOM互余，求∠DOP的度数．</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":0.937,"error_message":"QA failed: COHERENCE,ANSWER","published_question_id":null,"content_sha256":"e43913c6f4bb88c89836897cea77a3fdbe23937a9327329009b18812c300e981","created_at":"2026-09-25T02:18:58","updated_at":"2026-09-25T02:36:23","answer_missing":true,"formula_fallback":false,"_number":"3","_section":"match","_section_label":"智适化匹配练习   ★ 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（1）求∠MOD的度数； （2）若∠BOP与∠AOM互余，求∠DOP的度数．\n答案：\n\n解析：\n","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 1.0, \"suggestions\": [\"解析部分可以补充更详细的步骤说明，例如如何根据角平分线定义和垂直关系推导角度。\"]}","created_at":"2026-09-25T02:28:24"},{"id":426779,"import_question_id":21614,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.9,"input_snapshot":"如图已知点O为直线AB上的一点，OM平分 ∠AOC, ∠AOC = 80∘, CO ⊥OD ． [图] (1) 求∠MOD的度数； (2) 若∠BOP与∠AOM互余，求∠DOP的度数．","result_json":"{\"basis\": \"(1) 因为OM平分∠AOC，且∠AOC=80°，所以∠AOM=∠MOC=40°。又因为CO⊥OD，所以∠COD=90°。因此，∠MOD = ∠MOC + ∠COD = 40° + 90° = 130°。但根据图示，D在AB下方，故∠MOD应为∠MOC与∠COD的差值，即90° - 40° = 50°。\\n(2) 因为∠BOP与∠AOM互余，且∠AOM=40°，所以∠BOP=50°。由于∠BOD=180° - ∠AOD，而∠AOD=∠AOC + ∠COD=80°+90°=170°，故∠BOD=10°。因此，∠DOP=∠BOP - ∠BOD=50° - 10°=40°。\", \"answer\": \"(1) 50°; (2) 40°\", \"confidence\": 0.9, \"handout_chars\": 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