{"ok":true,"question":{"id":21102,"question_uuid":"335c994d-fb4f-4997-aca8-485c318ec207","job_id":4,"source_file":"A中考/2026江苏中考期末数学试卷+答案830.pdf","source_page_start":7,"source_page_end":7,"source_bbox":"[30.0, 465.92, 558.9, 796.15]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"comprehensive","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"如图,在Rt △ABC中, ∠ABC = 90°, 点M是AC的中点, 以AB为直径作⊙O分别交AC, BM于点D, E, 连结DE, 使四边形DEBA为⊙O的内接四边形, 2026-06-22\", \"type\": \"text\"}, {\"kind\": \"embedded_image\", \"type\": \"figure\", \"width\": 708, \"height\": 479, \"sha256\": \"5e68d1287fbd109aef20baaf335ce3ee5193df4c45386dac295a14e26ce8bd41\", \"caption\": \"\", \"asset_key\": \"math/2026/09/16de2e24-a616-456b-83c5-3364ab6bd928/335c994d-fb4f-4997-aca8-485c318ec207/5e68d1287fbd.png\", \"public_url\": \"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/16de2e24-a616-456b-83c5-3364ab6bd928/335c994d-fb4f-4997-aca8-485c318ec207/5e68d1287fbd.png\", \"source_bbox\": [30.0, 549.2210083007812, 171.6999969482422, 644.02001953125], \"source_page\": 7}, {\"type\": \"subquestion\", \"index\": 1, \"blocks\": [{\"text\": \"求证: ∠A = ∠ABM = ∠MDE;\", \"type\": \"text\"}]}, {\"type\": \"subquestion\", \"index\": 2, \"blocks\": [{\"text\": \"若\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"AB = 6\"}, {\"text\": \", 当\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"AD = 2DM\"}, {\"text\": \"时, 求\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"DE\"}, {\"text\": \"的长度;\", \"type\": \"text\"}]}, {\"type\": \"subquestion\", \"index\": 3, \"blocks\": [{\"text\": \"连接OD, OE, 当∠A的度数为60°时, 求证: 四边形ODME是菱形.\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.0, 465.92, 558.9, 796.15], \"file\": \"A中考/2026江苏中考期末数学试卷+答案830.pdf\", \"regions\": [{\"bbox\": [30.0, 465.92, 558.9, 796.15], \"page\": 7}], \"section\": \"match\", \"page_end\": 7, \"page_start\": 7, \"section_label\": \"智适化匹配练习 ★ 交互式系统学习\", \"answer_regions\": []}, \"version\": 1, \"grade_level\": \"JUNIOR\", \"number_label\": \"4\", \"subject_code\": \"math\", \"question_type\": \"comprehensive\", \"content_sha256\": \"e3bfa9ab66901b4e9109143227614c0b1123fb2c07593574e346ae8fd2bc6b5c\"}","body_html":"
如图,在Rt △ABC中, ∠ABC = 90°, 点M是AC的中点, 以AB为直径作⊙O分别交AC, BM于点D, E, 连结DE, 使四边形DEBA为⊙O的内接四边形, 2026-06-22\"\"
（1）求证: ∠A = ∠ABM = ∠MDE;
（2）若\\(AB = 6\\), 当\\(AD = 2DM\\)时, 求\\(DE\\)的长度;
（3）连接OD, OE, 当∠A的度数为60°时, 求证: 四边形ODME是菱形.
","answer_html":"","ways_html":"","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":null,"error_message":"处理异常: LLM call failed after retries: HTTPConnectionPool(host='127.0.0.1', port=8092): Read timed out. (read timeout=120) [endpoints: http://127.0.0.1:8091/v1 -> http://127.0.0.1:8092/v1]","published_question_id":null,"content_sha256":"e3bfa9ab66901b4e9109143227614c0b1123fb2c07593574e346ae8fd2bc6b5c","created_at":"2026-09-24T22:35:08","updated_at":"2026-09-24T22:56:20","answer_missing":true,"formula_fallback":false,"_number":"4","_section":"match","_section_label":"智适化匹配练习 ★ 交互式系统学习"},"assets":[{"id":4609,"asset_uuid":"44b4f47d52e94bf8b13cb39e457f03af","job_id":4,"import_question_id":21102,"asset_type":"embedded_image","source_file":"2026江苏中考期末数学试卷+答案830.pdf","source_page":7,"source_bbox":"[30.0, 549.22, 171.7, 644.02]","sha256":"5e68d1287fbd109aef20baaf335ce3ee5193df4c45386dac295a14e26ce8bd41","local_path":"/www/wwwroot/tikupdfpng.mtwlkj.net_5129/qbank/math/2026/09/16de2e24-a616-456b-83c5-3364ab6bd928/335c994d-fb4f-4997-aca8-485c318ec207/5e68d1287fbd.png","asset_key":"math/2026/09/16de2e24-a616-456b-83c5-3364ab6bd928/335c994d-fb4f-4997-aca8-485c318ec207/5e68d1287fbd.png","public_url":"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/16de2e24-a616-456b-83c5-3364ab6bd928/335c994d-fb4f-4997-aca8-485c318ec207/5e68d1287fbd.png","width":708,"height":479,"qa_status":"PENDING","created_at":"2026-09-24T22:46:42","safe_public_url":"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/16de2e24-a616-456b-83c5-3364ab6bd928/335c994d-fb4f-4997-aca8-485c318ec207/5e68d1287fbd.png"}],"knowledge":[],"audits":[{"id":415546,"import_question_id":21102,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"如图,在Rt △ABC中, ∠ABC = 90°, 点M是AC的中点, 以AB为直径作⊙O分别交AC, BM于点D, E, 连结DE, 使四边形DEBA为⊙O的内接四边形, 2026-06-22 [图] (1) 求证: ∠A = ∠ABM = ∠MDE; (2) 若 AB = 6 , 当 AD = 2DM 时, 求 DE 的长度; (3) 连接OD, OE, 当∠A的度数为60°时, 求证: 四边形ODME是菱形.","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-24T22:52:20"},{"id":415547,"import_question_id":21102,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"AB = 6; AD = 2DM; DE","result_json":"{\"risky\": 0, \"issues\": [], \"checked\": 3, \"invalid\": 0, \"visual_check\": \"not_run_no_formula_bbox\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-24T22:52:20"},{"id":415548,"import_question_id":21102,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"如图,在Rt △ABC中, ∠ABC = 90°, 点M是AC的中点, 以AB为直径作⊙O分别交AC, BM于点D, E, 连结DE, 使四边形DEBA为⊙O的内接四边形, 2026-06-22 [图] (1) 求证: ∠A = ∠ABM = ∠MDE; (2) 若 AB = 6 , 当 AD = 2DM 时, 求 DE 的长度; (3) 连接OD, OE, 当∠A的度数为60°时, 求证: 四边形ODME是菱形.","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-24T22:52:20"},{"id":415566,"import_question_id":21102,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.95,"input_snapshot":"题干：\n如图,在Rt △ABC中, ∠ABC = 90°, 点M是AC的中点, 以AB为直径作⊙O分别交AC, BM于点D, E, 连结DE, 使四边形DEBA为⊙O的内接四边形, 2026-06-22 （1）求证: ∠A = ∠ABM = ∠MDE; （2）若\\(AB = 6\\), 当\\(AD = 2DM\\)时, 求\\(DE\\)的长度; （3）连接OD, OE, 当∠A的度数为60°时, 求证: 四边形ODME是菱形.\n答案：\n\n解析：\n","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"建议在题干中明确‘四边形DEBA为⊙O的内接四边形’是作图结果还是附加条件，避免歧义\"]}","created_at":"2026-09-24T22:53:41"}]}