{"ok":true,"question":{"id":182027,"question_uuid":"aec18cc5-5dfa-4cd0-8268-969b8483e46d","job_id":10,"source_file":"冀教版/八下/薛豪Q_18952688822_330.pdf","source_page_start":2,"source_page_end":2,"source_bbox":"[30.38, 241.39, 229.74, 310.87]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"subjective","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"已知等腰三角形 的周长为，设腰\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"12 \\\\frac{ABC}{BC}\"}, {\"text\": \"AB长为，底边x 长为．\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"y \\\\frac{(1)}{(2)}\"}, {\"text\": \"求关于的函数表达式．yx 当腰长为时，求底边的长．4\", \"type\": \"text\"}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"(1) Q 等腰三角形 的周长为，腰AB\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{ABC}{长为} \\\\frac{12}{x}\"}, {\"text\": \"长为，底边xBC y = 12 − 2，根据  −  x 三角形三边关系可知：\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{12}{12} \\\\frac{2}{2}\\\\frac{x}{x} \\\\frac{2}{0}\"}, {\"text\": \"解得：  −  3  x  6， = 12 − 2x(3  x  6);\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{y}{代入}\"}, {\"text\": \"把x = = 12 − 2x得：\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{(2)}{y} \\\\frac{4}{2} \\\\frac{y}{4} = 12\"}, {\"text\": \"−  =，\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{4}{4}\"}, {\"text\": \"当腰长为时，底边的长为．4\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.38, 241.39, 229.74, 310.87], \"file\": \"冀教版/八下/薛豪Q_18952688822_330.pdf\", \"regions\": [{\"bbox\": [30.38, 241.39, 229.74, 310.87], \"page\": 2}], \"section\": \"example\", \"page_end\": 2, \"page_start\": 2, \"section_label\": \"跟我学        常考关键母题各个击破！\", \"answer_regions\": [{\"bbox\": [29.98690414428711, 412.0252990722656, 247.1019287109375, 555.423828125], \"page\": 2}]}, \"version\": 1, \"grade_level\": \"JUNIOR\", \"number_label\": \"1\", \"subject_code\": \"math\", \"question_type\": \"subjective\", \"content_sha256\": \"16d5aa8470320f470aa6d38746a2dc2001d1c739ef0987437ba5d7bdc149432b\"}","body_html":"<div>已知等腰三角形 的周长为，设腰\\(12 \\frac{ABC}{BC}\\)AB长为，底边x 长为．\\(y \\frac{(1)}{(2)}\\)求关于的函数表达式．yx 当腰长为时，求底边的长．4</div>","answer_html":"","ways_html":"(1) Q 等腰三角形 的周长为，腰AB\\(\\frac{ABC}{长为} \\frac{12}{x}\\)长为，底边xBC y = 12 − 2，根据  −  x 三角形三边关系可知：\\(\\frac{12}{12} \\frac{2}{2}\\frac{x}{x} \\frac{2}{0}\\)解得：  −  3  x  6， = 12 − 2x(3  x  6);\\(\\frac{y}{代入}\\)把x = = 12 − 2x得：\\(\\frac{(2)}{y} \\frac{4}{2} \\frac{y}{4} = 12\\)−  =，\\(\\frac{4}{4}\\)当腰长为时，底边的长为．4","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=8091): Read timed out. (read timeout=120) [endpoints: http://127.0.0.1:8092/v1 -> http://127.0.0.1:8091/v1]","published_question_id":null,"content_sha256":"16d5aa8470320f470aa6d38746a2dc2001d1c739ef0987437ba5d7bdc149432b","created_at":"2026-11-10T11:19:59","updated_at":"2026-11-10T11:45:22","answer_missing":true,"formula_fallback":false,"_number":"1","_section":"example","_section_label":"跟我学        常考关键母题各个击破！"},"assets":[],"knowledge":[],"audits":[{"id":9437752,"import_question_id":182027,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"已知等腰三角形 的周长为，设腰 12 \\frac{ABC}{BC} AB长为，底边x 长为． y \\frac{(1)}{(2)} 求关于的函数表达式．yx 当腰长为时，求底边的长．4","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-11-10T11:39:50"},{"id":9437753,"import_question_id":182027,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"12 \\frac{ABC}{BC}; y \\frac{(1)}{(2)}; \\frac{ABC}{长为} \\frac{12}{x}; \\frac{12}{12} \\frac{2}{2}\\frac{x}{x} \\frac{2}{0}; \\frac{y}{代入}","result_json":"{\"risky\": 7, \"issues\": [], \"checked\": 7, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-11-10T11:39:50"},{"id":9437754,"import_question_id":182027,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"已知等腰三角形 的周长为，设腰 12 \\frac{ABC}{BC} AB长为，底边x 长为． y \\frac{(1)}{(2)} 求关于的函数表达式．yx 当腰长为时，求底边的长．4","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-11-10T11:39:50"},{"id":9437777,"import_question_id":182027,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.9,"input_snapshot":"题干：\n已知等腰三角形 的周长为，设腰\\(12 \\frac{ABC}{BC}\\)AB长为，底边x 长为．\\(y \\frac{(1)}{(2)}\\)求关于的函数表达式．yx 当腰长为时，求底边的长．4\n答案：\n\n解析：\n(1) Q 等腰三角形 的周长为，腰AB\\(\\frac{ABC}{长为} \\frac{12}{x}\\)长为，底边xBC y = 12 − 2，根据  −  x 三角形三边关系可知：\\(\\frac{12}{12} \\frac{2}{2}\\frac{x}{x} \\frac{2}{0}\\)解得：  −  3  x  6， = 12 − 2x(3  x  6);\\(\\frac{y}{代入}\\)把x = = 12 − 2x得：\\(\\frac{(2)}{y} \\frac{4}{2} \\frac{y}{4} = 12\\)−  =，\\(\\frac{4}{4}\\)当腰长为时，底边的长为．4","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.9, \"suggestions\": [\"解析部分排版较为混乱，建议优化公式和文字的布局以提升可读性。\"]}","created_at":"2026-11-10T11:41:07"},{"id":9437788,"import_question_id":182027,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"已知等腰三角形 的周长为，设腰 12 \\frac{ABC}{BC} AB长为，底边x 长为． y \\frac{(1)}{(2)} 求关于的函数表达式．yx 当腰长为时，求底边的长．4","result_json":"{\"basis\": \"等腰三角形两腰相等，周长=2×腰+底，故y=12-2x。当x=4时，y=12-2×4=4。\", \"answer\": \"(1) y = 12 - 2x\\n(2) 4\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-11-10T11:41:22"},{"id":9437789,"import_question_id":182027,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案: || 盲解:(1) y = 12 - 2x\n(2) 4","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-11-10T11:41:22"},{"id":9437790,"import_question_id":182027,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.5,"input_snapshot":"答案: || 盲解:(1) y = 12 - 2x\n(2) 4","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"未提取到来源答案\"}, \"status\": \"WARN\", \"applicable\": true}","created_at":"2026-11-10T11:41:22"}]}