{"ok":true,"question":{"id":21660,"question_uuid":"b887abcb-cbd2-41fd-9b96-dce67517d926","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, 380.93, 288.78, 600.18]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"comprehensive","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"计算： 1 √15\", \"type\": \"text\"}, {\"type\": \"subquestion\", \"index\": 1, \"blocks\": [{\"text\": \"|1 −√3| −\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{15 \\\\times}\\\\sqrt{3 \\\\times}\"}]}, {\"type\": \"subquestion\", \"index\": 2, \"blocks\": [{\"text\": \"（√2）^{2}−√（−3）^{2}+ （^{3}√64）^{3}−√81 解答题，第一题8分，第二题10分，第三题10分\", \"type\": \"text\"}]}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"(1) −1；(2)54\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"1 1 (1)|1 −√3| −\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{15 \\\\times}\\\\sqrt{3 \\\\times}=\"}, {\"text\": \"√3 −1 −\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{3 \\\\times (√15 \\\\times )}=√3\"}, {\"text\": \"−1 −√3 = −1. √15 √15 (2)（√2）^{2}−√（−3）^{2}+ （^{3}√64）^{3}−√81 = 2 −3 + 64 −9 = 54.\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.22, 380.93, 288.78, 600.18], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案455.pdf\", \"regions\": [{\"bbox\": [30.22, 380.93, 288.78, 600.18], \"page\": 2}], \"section\": \"generic\", \"page_end\": 2, \"page_start\": 2, \"section_label\": \"\", \"answer_regions\": [{\"bbox\": [43.99800109863281, 167.59054565429688, 477.8110656738281, 232.0012054443359], \"page\": 5}], \"answer_original\": \"(1) −1；(2)54\", \"solution_original\": \"1 1 (1)|1 −√3| −√15 × √3 × = √3 −1 −√3 × (√15 ×)=√3 −1 −√3 = −1. √15 √15 (2)（√2）^{2}−√（−3）^{2}+ （^{3}√64）^{3}−√81 = 2 −3 + 64 −9 = 54.\"}, \"version\": 1, \"grade_level\": \"SENIOR\", \"number_label\": \"12\", \"subject_code\": \"math\", \"question_type\": \"comprehensive\", \"content_sha256\": \"5e573ce2ff263229d3f8b48e87c32eff934731774e1a7101aced4484a1438b86\"}","body_html":"<div>计算： 1 √15<br>（1）|1 −√3| −\\(\\sqrt{15 \\times}\\sqrt{3 \\times}\\)<br>（2）（√2）^{2}−√（−3）^{2}+ （^{3}√64）^{3}−√81 解答题，第一题8分，第二题10分，第三题10分</div>","answer_html":"(1) −1；(2)54","ways_html":"1 1 (1)|1 −√3| −\\(\\sqrt{15 \\times}\\sqrt{3 \\times}=\\)√3 −1 −\\(\\sqrt{3 \\times (√15 \\times )}=√3\\)−1 −√3 = −1. √15 √15 (2)（√2）^{2}−√（−3）^{2}+ （^{3}√64）^{3}−√81 = 2 −3 + 64 −9 = 54.","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.917,"error_message":"QA failed: SOLVER,CRITIC,COHERENCE","published_question_id":null,"content_sha256":"5e573ce2ff263229d3f8b48e87c32eff934731774e1a7101aced4484a1438b86","created_at":"2026-09-25T02:52:33","updated_at":"2026-09-25T03:04:37","answer_missing":false,"formula_fallback":false,"_number":"12","_section":"generic","_section_label":""},"assets":[],"knowledge":[],"audits":[{"id":428008,"import_question_id":21660,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"计算： 1 √15 (1) |1 −√3| − \\sqrt{15 \\times}\\sqrt{3 \\times} (2) （√2）^{2}−√（−3）^{2}+ （^{3}√64）^{3}−√81 解答题，第一题8分，第二题10分，第三题10分","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-25T03:02:38"},{"id":428009,"import_question_id":21660,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\sqrt{15 \\times}\\sqrt{3 \\times}; \\sqrt{15 \\times}\\sqrt{3 \\times}=; \\sqrt{3 \\times (√15 \\times )}=√3","result_json":"{\"risky\": 3, \"issues\": [], \"checked\": 3, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-25T03:02:38"},{"id":428010,"import_question_id":21660,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"计算： 1 √15 (1) |1 −√3| − \\sqrt{15 \\times}\\sqrt{3 \\times} (2) （√2）^{2}−√（−3）^{2}+ （^{3}√64）^{3}−√81 解答题，第一题8分，第二题10分，第三题10分","result_json":"{\"picks\": [], \"tree_code\": \"KT_SENIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-25T03:02:38"},{"id":428021,"import_question_id":21660,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.95,"input_snapshot":"题干：\n计算： 1 √15 （1）|1 −√3| −\\(\\sqrt{15 \\times}\\sqrt{3 \\times}\\) （2）（√2）^{2}−√（−3）^{2}+ （^{3}√64）^{3}−√81 解答题，第一题8分，第二题10分，第三题10分\n答案：\n(1) −1；(2)54\n解析：\n1 1 (1)|1 −√3| −\\(\\sqrt{15 \\times}\\sqrt{3 \\times}=\\)√3 −1 −\\(\\sqrt{3 \\times (√15 \\times )}=√3\\)−1 −√3 = −1. √15 √15 (2)（√2）^{2}−√（−3）^{2}+ （^{3}√64）^{3}−√81 = 2 −3 + 64 −9 = 54.","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"题干中公式排版较乱，建议优化为更清晰的数学表达式格式\"]}","created_at":"2026-09-25T03:03:06"},{"id":428023,"import_question_id":21660,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"WARN","score":0.4,"input_snapshot":"计算： 1 √15 (1) |1 −√3| − \\sqrt{15 \\times}\\sqrt{3 \\times} (2) （√2）^{2}−√（−3）^{2}+ （^{3}√64）^{3}−√81 解答题，第一题8分，第二题10分，第三题10分","result_json":"{\"note\": \"盲解+评判合并调用未返回\"}","created_at":"2026-09-25T03:03:34"},{"id":428024,"import_question_id":21660,"audit_type":"CRITIC","auditor_name":"critic","status":"WARN","score":0.5,"input_snapshot":"计算： 1 √15 (1) |1 −√3| − \\sqrt{15 \\times}\\sqrt{3 \\times} (2) （√2）^{2}−√（−3）^{2}+ （^{3}√64）^{3}−√81 解答题，第一题8分，第二题10分，第三题10分","result_json":"{\"note\": \"Critic 未返回结果\"}","created_at":"2026-09-25T03:03:34"},{"id":428025,"import_question_id":21660,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.5,"input_snapshot":"答案:(1) −1；(2)54 || 盲解:","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解未给出答案\"}, \"status\": \"WARN\", \"applicable\": true}","created_at":"2026-09-25T03:03:34"},{"id":428036,"import_question_id":21660,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案:(1) −1；(2)54 || 解析:1 1 (1)|1 −√3| −\\(\\sqrt{15 \\times}\\sqrt{3 \\times}=\\)√3 −1 −\\(\\sqrt{3 \\times (√15 \\times )}=√3\\)−1 −√3 = −1. √15 √15 (2)（√2）^{2}−√（−3）^{2}+ （^{3}√64）^{3}−√81 = 2 −3 + 64 −9 = 54.","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"第一题解析中 √15 × √3 被错误化简为 √3，导致最终结果错误。\", \"|1 −√3| − √15 × √3 = √3 − 1 − √3 = −1: 第一步化简错误：|1 −√3| = √3 − 1 正确，但 √15 × √3 = √45 = 3√5，而非 √3。因此原式应为 (√3 − 1) − 3√5，不能进一步化简为 −1。\"], \"confidence\": 0.9, \"equation_checks\": [{\"valid\": false, \"reason\": \"第一步化简错误：|1 −√3| = √3 − 1 正确，但 √15 × √3 = √45 = 3√5，而非 √3。因此原式应为 (√3 − 1) − 3√5，不能进一步化简为 −1。\", \"equation\": \"|1 −√3| − √15 × √3 = √3 − 1 − √3 = −1\"}, {\"valid\": true, \"reason\": \"每一步计算正确：(√2)^2 = 2，√(−3)^2 = √9 = 3，(³√64)^3 = 64，√81 = 9，总和为 2 − 3 + 64 − 9 = 54。\", \"equation\": \"(√2)^2 − √(−3)^2 + (³√64)^3 − √81 = 2 − 3 + 64 − 9 = 54\"}]}","created_at":"2026-09-25T03:04:37"},{"id":428037,"import_question_id":21660,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.917,"input_snapshot":"","result_json":"{\"warnings\": [\"SOLVER\"], \"graded_gate\": true, \"hard_failed\": [\"CRITIC\", \"COHERENCE\"]}","created_at":"2026-09-25T03:04:37"}]}