{"ok":true,"question":{"id":182424,"question_uuid":"3d72722a-5e94-41fd-986d-a05992f0f874","job_id":9,"source_file":"沪教版/八下/周琼玟Q_18978751881_95_检测.pdf","source_page_start":3,"source_page_end":3,"source_bbox":"[30.22, 235.47, 173.6, 315.6]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"comprehensive","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"化简下列各式：\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"6y^{2}\"}, {\"type\": \"subquestion\", \"index\": 1, \"blocks\": [{\"text\": \"√10xy ÷\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{x^{3}}\"}]}, {\"type\": \"subquestion\", \"index\": 2, \"blocks\": [{\"text\": \"√14mn\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\times\"}, {\"text\": \"√\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{7m}{n^{2}} \\\\times\"}, {\"text\": \"√\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{6n}\"}]}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"(1) (2)\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"x 3n (1)由√10xy,√\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{x^{3}}{6y^{2}}\"}, {\"text\": \"有意义，得到x> 0,y> 0，√10xy÷√\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{x^{3}}{6y^{2}} =√10xy\\\\times \\\\frac{6y^{2}}{x^{3}} =\"}, {\"text\": \"√\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{60xy^{3}}{x^{3}} =√ \\\\frac{60y^{3}}{x^{2}} = \\\\frac{y}{x}\"}, {\"text\": \"√60y=\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{y}{x} \\\\times 2√15y= 2y√15y\"}, {\"text\": \"; x (2)由√14mn,√\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{7m}{n^{2}},√ \\\\frac{1}{6n}\"}, {\"text\": \"有意义，得到 m≥0,n> 0，√14mn\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\times\"}, {\"text\": \"√\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{7m}{n^{2}} \\\\times\"}, {\"text\": \"√\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{6n} =\"}, {\"text\": \"√14mn\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\times \\\\frac{7m}{n^{2}} \\\\times \\\\frac{1}{6n} =√ \\\\frac{98m^{2}n}{6n^{3}} =√ \\\\frac{49m^{2}}{3n^{2}} = =\"}, {\"text\": \". 7m 7m√3 n√3 3n\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.22, 235.47, 173.6, 315.6], \"file\": \"沪教版/八下/周琼玟Q_18978751881_95_检测.pdf\", \"regions\": [{\"bbox\": [30.22, 235.47, 173.6, 315.6], \"page\": 3}], \"section\": \"generic\", \"page_end\": 3, \"page_start\": 3, \"section_label\": \"\", \"answer_regions\": [{\"bbox\": [43.99800109863281, 580.6607666015625, 474.8352355957031, 741.6597290039062], \"page\": 6}]}, \"version\": 1, \"grade_level\": \"JUNIOR\", \"number_label\": \"13\", \"subject_code\": \"math\", \"question_type\": \"comprehensive\", \"content_sha256\": \"77897c8f2aae177e489f52fb4ff93c83c4831af7a44bfe43e2af739890b8d642\"}","body_html":"<div>化简下列各式：\\(6y^{2}\\)<br>（1）√10xy ÷\\(\\sqrt{x^{3}}\\)<br>（2）√14mn\\(\\times\\sqrt{\\frac{7m}{n^{2}} \\times}\\sqrt{\\frac{1}{6n}}\\)</div>","answer_html":"(1) (2)","ways_html":"x 3n (1)由√10xy,\\(\\sqrt{\\frac{x^{3}}{6y^{2}}}\\)有意义，得到x&gt; 0,y&gt; 0，√10xy÷\\(\\sqrt{\\frac{x^{3}}{6y^{2}}}=√10xy\\times \\frac{6y^{2}}{x^{3}} =\\sqrt{\\frac{60xy^{3}}{x^{3}}}=√ \\frac{60y^{3}}{x^{2}} = \\frac{y}{x}\\)√60y=\\(\\frac{y}{x} \\times 2√15y= 2y√15y\\); x (2)由√14mn,\\(\\sqrt{\\frac{7m}{n^{2}},√ \\frac{1}{6n}}\\)有意义，得到 m≥0,n&gt; 0，√14mn\\(\\times\\sqrt{\\frac{7m}{n^{2}} \\times}\\sqrt{\\frac{1}{6n}}=\\)√14mn\\(\\times \\frac{7m}{n^{2}} \\times \\frac{1}{6n} =√ \\frac{98m^{2}n}{6n^{3}} =√ \\frac{49m^{2}}{3n^{2}} = =\\). 7m 7m√3 n√3 3n","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":"77897c8f2aae177e489f52fb4ff93c83c4831af7a44bfe43e2af739890b8d642","created_at":"2026-11-10T14:47:45","updated_at":"2026-11-10T15:33:56","answer_missing":false,"formula_fallback":false,"_number":"13","_section":"generic","_section_label":""},"assets":[],"knowledge":[],"audits":[{"id":9482979,"import_question_id":182424,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"化简下列各式： 6y^{2} (1) √10xy ÷ \\sqrt{x^{3}} (2) √14mn \\times √ \\frac{7m}{n^{2}} \\times √ \\frac{1}{6n}","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-11-10T15:29:55"},{"id":9482980,"import_question_id":182424,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"6y^{2}; \\sqrt{x^{3}}; \\times; \\frac{7m}{n^{2}} \\times; \\frac{1}{6n}","result_json":"{\"risky\": 14, \"issues\": [], \"checked\": 14, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-11-10T15:29:55"},{"id":9482981,"import_question_id":182424,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"化简下列各式： 6y^{2} (1) √10xy ÷ \\sqrt{x^{3}} (2) √14mn \\times √ \\frac{7m}{n^{2}} \\times √ \\frac{1}{6n}","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-11-10T15:29:55"},{"id":9482998,"import_question_id":182424,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.95,"input_snapshot":"题干：\n化简下列各式：\\(6y^{2}\\) （1）√10xy ÷\\(\\sqrt{x^{3}}\\) （2）√14mn\\(\\times\\)√\\(\\frac{7m}{n^{2}} \\times\\)√\\(\\frac{1}{6n}\\)\n答案：\n(1) (2)\n解析：\nx 3n (1)由√10xy,√\\(\\frac{x^{3}}{6y^{2}}\\)有意义，得到x&gt; 0,y&gt; 0，√10xy÷√\\(\\frac{x^{3}}{6y^{2}} =√10xy\\times \\frac{6y^{2}}{x^{3}} =\\)√\\(\\frac{60xy^{3}}{x^{3}} =√ \\frac{60y^{3}}{x^{2}} = \\frac{y}{x}\\)√60y=\\(\\frac{y}{x} \\times 2√15y= 2y√15y\\); x (2)由√14mn,√\\(\\frac{7m}{n^{2}},√ \\frac{1}{6n}\\)有意义，得到 m≥0,n&gt; 0，√14mn\\(\\times\\)√\\(\\frac{7m}{n^{2}} \\times\\)√\\(\\frac{1}{6n} =\\)√14mn\\(\\times \\frac{7m}{n^{2}} \\times \\frac{1}{6n} =√ \\frac{98m^{2}n}{6n^{3}} =√ \\frac{49m^{2}}{3n^{2}} = =\\). 7m 7m√3 n√3 3n","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"题干中第(1)小题的根号内表达式排版略显紧凑，建议增加空格提升可读性，例如写作 `√(10xy) ÷ √(x³/(6y²))`。\", \"答案部分缺少最终化简结果的明确呈现，仅列出“(1) (2)”，建议补充完整答案如 `(1) 2y√(15y)/x` 和 `(2) 7m√3/(3n)`。\", \"解析中第(2)小题末尾的等式链存在排版断裂（`= =). 7m 7m√3 n√3 3n`），建议修正为连贯表达式。\"]}","created_at":"2026-11-10T15:31:31"},{"id":9485754,"import_question_id":182424,"audit_type":"RETRO_REPAIR","auditor_name":"retro-deterministic","status":"FAIL","score":0.3,"input_snapshot":"(1) (2)","result_json":"{\"hard\": {\"answer_integrity\": \"综合题答案仅含单个短值，未覆盖多个小问，疑似答案截断/错位\"}, \"fixes\": {}, \"status_to\": \"QUARANTINED\", \"status_from\": \"QUARANTINED\"}","created_at":"2026-11-10T15:35:23"},{"id":9488674,"import_question_id":182424,"audit_type":"RETRO_REPAIR","auditor_name":"retro-deterministic","status":"FAIL","score":0.3,"input_snapshot":"(1) (2)","result_json":"{\"hard\": {\"answer_integrity\": \"综合题答案仅含单个短值，未覆盖多个小问，疑似答案截断/错位\"}, \"fixes\": {}, \"status_to\": \"QUARANTINED\", \"status_from\": \"QUARANTINED\"}","created_at":"2026-11-10T15:50:55"},{"id":9491956,"import_question_id":182424,"audit_type":"RETRO_REPAIR","auditor_name":"retro-deterministic","status":"FAIL","score":0.3,"input_snapshot":"(1) (2)","result_json":"{\"hard\": {\"answer_integrity\": \"综合题答案仅含单个短值，未覆盖多个小问，疑似答案截断/错位\"}, \"fixes\": {}, \"status_to\": \"QUARANTINED\", \"status_from\": \"QUARANTINED\"}","created_at":"2026-11-10T16:06:29"},{"id":9495046,"import_question_id":182424,"audit_type":"RETRO_REPAIR","auditor_name":"retro-deterministic","status":"FAIL","score":0.3,"input_snapshot":"(1) (2)","result_json":"{\"hard\": {\"answer_integrity\": \"综合题答案仅含单个短值，未覆盖多个小问，疑似答案截断/错位\"}, \"fixes\": {}, \"status_to\": \"QUARANTINED\", \"status_from\": \"QUARANTINED\"}","created_at":"2026-11-10T16:22:01"}]}