{"ok":true,"question":{"id":21255,"question_uuid":"28bd643f-73c3-48b5-a1b4-4a0124290137","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案400.pdf","source_page_start":2,"source_page_end":2,"source_bbox":"[30.38, 265.79, 185.77, 336.39]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"subjective","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"已知 a −1的算术平方根是 11,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{2}{b}\"}, {\"text\": \"a − 5 + 的立方根是 − 2．\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{b} \\\\frac{(1)}{(2)} \\\\frac{a}{2}\"}, {\"text\": \"求与的值； 求 a − b的立方根．\", \"type\": \"text\"}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"因为2a −1的算术平方根是 11,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{(1)}{所以}\"}, {\"text\": \"a −=11,所以 = 6．\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{2}{a} \\\\frac{1}{b} \\\\frac{a}{的立方根是}\"}, {\"text\": \"− + − 2,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{因为}{所以} \\\\frac{5}{5} \\\\frac{1}{1}\"}, {\"text\": \"− + = −8,所以b =\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"3 \\\\frac{a}{(1)} \\\\frac{b}{a}\"}, {\"text\": \"(2)由 知 = 6, = 3,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{b}{26}\"}, {\"text\": \"− = − 3 = 9,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{所以}{所以}\\\\frac{2}{2}\\\\frac{a}{a} \\\\frac{b}{b}\"}, {\"text\": \"− 的立方根为\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"3 \\\\sqrt{9}\"}]}], \"source\": {\"bbox\": [30.38, 265.79, 185.77, 336.39], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案400.pdf\", \"regions\": [{\"bbox\": [30.38, 265.79, 185.77, 336.39], \"page\": 2}], \"section\": \"example\", \"page_end\": 2, \"page_start\": 2, \"section_label\": \"跟我学        关键母题，常考题型各个击破！\", \"answer_regions\": [{\"bbox\": [30.74249839782715, 399.6564331054687, 198.04324340820312, 527.7675170898438], \"page\": 2}]}, \"version\": 1, \"grade_level\": \"SENIOR\", \"number_label\": \"1\", \"subject_code\": \"math\", \"question_type\": \"subjective\", \"content_sha256\": \"534fad4d1006186d8b3ccdd183e0634ad173f3cb448f53f9ac5aecaf9c478432\"}","body_html":"<div>已知 a −1的算术平方根是 11,\\(\\frac{2}{b}\\)a − 5 + 的立方根是 − 2．\\(\\frac{1}{b} \\frac{(1)}{(2)} \\frac{a}{2}\\)求与的值； 求 a − b的立方根．</div>","answer_html":"","ways_html":"因为2a −1的算术平方根是 11,\\(\\frac{(1)}{所以}\\)a −=11,所以 = 6．\\(\\frac{2}{a} \\frac{1}{b} \\frac{a}{的立方根是}\\)− + − 2,\\(\\frac{因为}{所以} \\frac{5}{5} \\frac{1}{1}\\)− + = −8,所以b =\\(3 \\frac{a}{(1)} \\frac{b}{a}\\)(2)由 知 = 6, = 3,\\(\\frac{b}{26}\\)− = − 3 = 9,\\(\\frac{所以}{所以}\\frac{2}{2}\\frac{a}{a} \\frac{b}{b}\\)− 的立方根为\\(3 \\sqrt{9}\\)","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":"534fad4d1006186d8b3ccdd183e0634ad173f3cb448f53f9ac5aecaf9c478432","created_at":"2026-09-24T23:43:24","updated_at":"2026-09-24T23:55:32","answer_missing":true,"formula_fallback":false,"_number":"1","_section":"example","_section_label":"跟我学        关键母题，常考题型各个击破！"},"assets":[],"knowledge":[],"audits":[{"id":418537,"import_question_id":21255,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"已知 a −1的算术平方根是 11, \\frac{2}{b} a − 5 + 的立方根是 − 2． \\frac{1}{b} \\frac{(1)}{(2)} \\frac{a}{2} 求与的值； 求 a − b的立方根．","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-24T23:51:32"},{"id":418538,"import_question_id":21255,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\frac{2}{b}; \\frac{1}{b} \\frac{(1)}{(2)} \\frac{a}{2}; \\frac{(1)}{所以}; \\frac{2}{a} \\frac{1}{b} \\frac{a}{的立方根是}; \\frac{因为}{所以} \\frac{5}{5} \\frac{1}{1}","result_json":"{\"risky\": 9, \"issues\": [], \"checked\": 9, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-24T23:51:32"},{"id":418539,"import_question_id":21255,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"已知 a −1的算术平方根是 11, \\frac{2}{b} a − 5 + 的立方根是 − 2． \\frac{1}{b} \\frac{(1)}{(2)} \\frac{a}{2} 求与的值； 求 a − b的立方根．","result_json":"{\"picks\": [], \"tree_code\": \"KT_SENIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-24T23:51:32"},{"id":418570,"import_question_id":21255,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.9,"input_snapshot":"题干：\n已知 a −1的算术平方根是 11,\\(\\frac{2}{b}\\)a − 5 + 的立方根是 − 2．\\(\\frac{1}{b} \\frac{(1)}{(2)} \\frac{a}{2}\\)求与的值； 求 a − b的立方根．\n答案：\n\n解析：\n因为2a −1的算术平方根是 11,\\(\\frac{(1)}{所以}\\)a −=11,所以 = 6．\\(\\frac{2}{a} \\frac{1}{b} \\frac{a}{的立方根是}\\)− + − 2,\\(\\frac{因为}{所以} \\frac{5}{5} \\frac{1}{1}\\)− + = −8,所以b =\\(3 \\frac{a}{(1)} \\frac{b}{a}\\)(2)由 知 = 6, = 3,\\(\\frac{b}{26}\\)− = − 3 = 9,\\(\\frac{所以}{所以}\\frac{2}{2}\\frac{a}{a} \\frac{b}{b}\\)− 的立方根为\\(3 \\sqrt{9}\\)","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.9, \"suggestions\": [\"题干中‘求与的值’表述不清，建议改为‘求a与b的值’以匹配原题\", \"题干中‘的立方根是−2’前缺少被开方数表达式，应补充为‘a−5b+1的立方根是−2’\", \"答案部分未明确写出‘a=6, b=3’，仅说‘由(1)知’，建议补全中间结论以增强可读性\"]}","created_at":"2026-09-24T23:52:24"}]}