{"ok":true,"question":{"id":21659,"question_uuid":"9c18fa5b-87fd-415b-8436-5c56a9e12f9c","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案455.pdf","source_page_start":2,"source_page_end":2,"source_bbox":"[30.22, 169.63, 222.66, 239.55]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"comprehensive","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"计算\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{36}\"}, {\"text\": \"4\", \"type\": \"text\"}, {\"type\": \"subquestion\", \"index\": 1, \"blocks\": [{\"text\": \"|\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{6} -4| + 6 \\\\times ( - \\\\frac{5}{2}) + ^{3}\\\\sqrt{-8}\"}]}, {\"type\": \"subquestion\", \"index\": 2, \"blocks\": [{\"text\": \"√81 −\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{5}{4} \\\\times\"}, {\"text\": \"√\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{16}{25} + ^{3}√−0.125\"}]}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"−4 −√6; 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7.5","ways_html":"(1) 原式= 4 -\\(\\sqrt{6} + 6 \\times (\\frac{3}{2} - \\frac{5}{2}) + (-2) = -4 -\\sqrt{6}\\)(2)原式 = 9 -\\(\\frac{5}{4} \\times \\frac{4}{5} + (-0.5) = 7.5\\)","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.938,"error_message":"QA failed: COHERENCE","published_question_id":null,"content_sha256":"254c4b616c41b66b5b48a8164348f75e9e52d3701c6d753d63091ccab43014fa","created_at":"2026-09-25T02:52:33","updated_at":"2026-09-25T03:06:03","answer_missing":false,"formula_fallback":false,"_number":"11","_section":"generic","_section_label":""},"assets":[],"knowledge":[],"audits":[{"id":427966,"import_question_id":21659,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"计算 \\sqrt{36} 4 (1) | \\sqrt{6} -4| + 6 \\times ( - \\frac{5}{2}) + ^{3}\\sqrt{-8} (2) √81 − \\frac{5}{4} \\times √ \\frac{16}{25} + ^{3}√−0.125","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-25T02:59:15"},{"id":427967,"import_question_id":21659,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\sqrt{36}; \\sqrt{6} -4| + 6 \\times ( - \\frac{5}{2}) + ^{3}\\sqrt{-8}; \\frac{5}{4} \\times; \\frac{16}{25} + ^{3}√−0.125; \\sqrt{6} + 6 \\times (\\frac{3}{2} - \\frac{5}{2}) + (-2) = -4 -\\sqrt{6}","result_json":"{\"risky\": 6, \"issues\": [], \"checked\": 6, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-25T02:59:15"},{"id":427968,"import_question_id":21659,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"计算 \\sqrt{36} 4 (1) | \\sqrt{6} -4| + 6 \\times ( - \\frac{5}{2}) + ^{3}\\sqrt{-8} (2) √81 − \\frac{5}{4} \\times √ \\frac{16}{25} + ^{3}√−0.125","result_json":"{\"picks\": [], \"tree_code\": \"KT_SENIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-25T02:59:15"},{"id":427973,"import_question_id":21659,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.95,"input_snapshot":"题干：\n计算\\(\\sqrt{36}\\)4 （1）|\\(\\sqrt{6} -4| + 6 \\times ( - \\frac{5}{2}) + ^{3}\\sqrt{-8}\\) （2）√81 −\\(\\frac{5}{4} \\times\\)√\\(\\frac{16}{25} + ^{3}√−0.125\\)\n答案：\n−4 −√6; 7.5\n解析：\n(1) 原式= 4 -\\(\\sqrt{6} + 6 \\times (\\frac{3}{2} - \\frac{5}{2}) + (-2) = -4 -\\sqrt{6}\\)(2)原式 = 9 -\\(\\frac{5}{4} \\times \\frac{4}{5} + (-0.5) = 7.5\\)","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"题干中的 LaTeX 公式排版略显混乱，建议统一规范书写格式以提升可读性。\", \"答案部分缺少对两个小题的明确标注（如（1）和（2）），可能造成混淆。\"]}","created_at":"2026-09-25T02:59:32"},{"id":428015,"import_question_id":21659,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"计算 \\sqrt{36} 4 (1) | \\sqrt{6} -4| + 6 \\times ( - \\frac{5}{2}) + ^{3}\\sqrt{-8} (2) √81 − \\frac{5}{4} \\times √ \\frac{16}{25} + ^{3}√−0.125","result_json":"{\"basis\": \"(1) 按绝对值定义、乘法分配律、立方根定义逐步化简；(2) 直接计算平方根、立方根后按运算顺序求解\", \"answer\": \"(1) -4 -√6; (2) 7.5\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-25T03:02:48"},{"id":428016,"import_question_id":21659,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:−4 −√6; 7.5 || 盲解:(1) -4 -√6; (2) 7.5","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-25T03:02:48"},{"id":428017,"import_question_id":21659,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:−4 −√6; 7.5 || 盲解:(1) -4 -√6; (2) 7.5","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案存在字面差异，需 Critic 复核\"}, \"status\": \"WARN\", \"applicable\": true}","created_at":"2026-09-25T03:02:48"},{"id":428028,"import_question_id":21659,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案:−4 −√6; 7.5 || 解析:(1) 原式= 4 -\\(\\sqrt{6} + 6 \\times (\\frac{3}{2} - \\frac{5}{2}) + (-2) = -4 -\\sqrt{6}\\)(2)原式 = 9 -\\(\\frac{5}{4} \\times \\frac{4}{5} + (-0.5) = 7.5\\)","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"第(1)问解析中 |\\\\sqrt{6}-4| 的处理错误，导致最终结果应为 -\\\\sqrt{6} 而非 -4-\\\\sqrt{6}。\", \"原式= 4 -\\\\sqrt{6} + 6 \\\\times (\\\\frac{3}{2} - \\\\frac{5}{2}) + (-2) = -4 -\\\\sqrt{6}: 第一步计算错误：|\\\\sqrt{6}-4| 应等于 4-\\\\sqrt{6}，但解析中写成了 -\\\\sqrt{6}+4 的位置不对，导致后续合并时符号混乱。正确过程应为：4 + (4-\\\\sqrt{6}) + 6*(-1) + (-2) = 4+4-\\\\sqrt{6}-6-2 = -\\\\sqrt{6}。解析中多减了4，结果错误。\"], \"confidence\": 0.9, \"equation_checks\": [{\"valid\": false, \"reason\": \"第一步计算错误：|\\\\sqrt{6}-4| 应等于 4-\\\\sqrt{6}，但解析中写成了 -\\\\sqrt{6}+4 的位置不对，导致后续合并时符号混乱。正确过程应为：4 + (4-\\\\sqrt{6}) + 6*(-1) + (-2) = 4+4-\\\\sqrt{6}-6-2 = -\\\\sqrt{6}。解析中多减了4，结果错误。\", \"equation\": \"原式= 4 -\\\\sqrt{6} + 6 \\\\times (\\\\frac{3}{2} - \\\\frac{5}{2}) + (-2) = -4 -\\\\sqrt{6}\"}, {\"valid\": true, \"reason\": \"第二步计算正确：\\\\sqrt{81}=9，\\\\sqrt{\\\\frac{16}{25}}=\\\\frac{4}{5}，\\\\frac{5}{4}\\\\times\\\\frac{4}{5}=1，\\\\sqrt[3]{-0.125}=-0.5，故 9-1-0.5=7.5。\", \"equation\": \"原式 = 9 -\\\\frac{5}{4} \\\\times \\\\frac{4}{5} + (-0.5) = 7.5\"}]}","created_at":"2026-09-25T03:03:56"},{"id":428029,"import_question_id":21659,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.938,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"COHERENCE\"]}","created_at":"2026-09-25T03:03:56"}]}