{"ok":true,"question":{"id":21578,"question_uuid":"fbcfd970-2a50-4739-aa3d-de739478fdca","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案445.pdf","source_page_start":3,"source_page_end":3,"source_bbox":"[30.0, 361.14, 167.18, 507.57]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"single_choice","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"下列计算正确的是(     )\", \"type\": \"text\"}, {\"type\": \"option\", \"label\": \"A\", \"blocks\": [{\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{10^{3}}\"}, {\"text\": \"3 = 10\", \"type\": \"text\"}], \"source_bbox\": [30.0, 398.67, 122.66, 413.83], \"source_page\": 3}, {\"type\": \"option\", \"label\": \"B\", \"blocks\": [{\"text\": \"√−\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"6^{2}\"}, {\"text\": \"= −6\", \"type\": \"text\"}], \"source_bbox\": [30.0, 429.44, 126.14, 445.05], \"source_page\": 3}, {\"type\": \"option\", \"label\": \"C\", \"blocks\": [{\"text\": \"√4 = ±2\", \"type\": \"text\"}], \"source_bbox\": [30.0, 462.92, 111.74, 476.37], \"source_page\": 3}, {\"type\": \"option\", \"label\": \"D\", \"blocks\": [{\"text\": \"(±√5)^{2}= −5\", \"type\": \"text\"}], \"source_bbox\": [30.0, 490.76, 136.1, 507.57], \"source_page\": 3}], \"source\": {\"bbox\": [30.0, 361.14, 167.18, 507.57], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案445.pdf\", \"regions\": [{\"bbox\": [30.0, 361.14, 167.18, 507.57], \"page\": 3}], \"section\": \"match\", \"page_end\": 3, \"page_start\": 3, \"section_label\": \"智适化匹配练习   ★ 交互式系统学习\", \"answer_regions\": [], \"answer_original\": \"\", \"solution_original\": \"\"}, \"version\": 1, \"grade_level\": \"JUNIOR\", \"number_label\": \"4\", \"subject_code\": \"math\", \"question_type\": \"single_choice\", \"content_sha256\": \"419ed17051c9902dddc3f77a247a0507861aa894794343d176203ad2dbd67d96\"}","body_html":"<div>下列计算正确的是( )<br>A. \\(\\sqrt{10^{3}}\\)3 = 10<br>B. √−\\(6^{2}\\)= −6<br>C. √4 = ±2<br>D. (±√5)^{2}= −5</div>","answer_html":"","ways_html":"","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.913,"error_message":"QA failed: COHERENCE,ANSWER","published_question_id":null,"content_sha256":"419ed17051c9902dddc3f77a247a0507861aa894794343d176203ad2dbd67d96","created_at":"2026-09-25T02:02:54","updated_at":"2026-09-25T02:18:24","answer_missing":true,"formula_fallback":false,"_number":"4","_section":"match","_section_label":"智适化匹配练习   ★ 交互式系统学习"},"assets":[],"knowledge":[],"audits":[{"id":425976,"import_question_id":21578,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"下列计算正确的是( ) A. \\sqrt{10^{3}} 3 = 10 B. √− 6^{2} = −6 C. √4 = ±2 D. (±√5)^{2}= −5","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-25T02:15:09"},{"id":425977,"import_question_id":21578,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\sqrt{10^{3}}; 6^{2}","result_json":"{\"risky\": 2, \"issues\": [], \"checked\": 2, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-25T02:15:09"},{"id":425978,"import_question_id":21578,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"下列计算正确的是( ) A. \\sqrt{10^{3}} 3 = 10 B. √− 6^{2} = −6 C. √4 = ±2 D. (±√5)^{2}= −5","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-25T02:15:09"},{"id":425981,"import_question_id":21578,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.95,"input_snapshot":"题干：\n下列计算正确的是( ) A. \\(\\sqrt{10^{3}}\\)3 = 10 B. √−\\(6^{2}\\)= −6 C. √4 = ±2 D. (±√5)^{2}= −5\n答案：\n\n解析：\n","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"题干中选项B的根号表达式√−6²在文本中可能存在歧义，建议明确写作√(−6²)或−√(6²)以避免误解。\", \"选项C中√4 = ±2 的表述在数学上不够严谨，因为算术平方根√4 应定义为非负值2，若需表示正负两个平方根应写作±√4。\"]}","created_at":"2026-09-25T02:15:39"},{"id":425985,"import_question_id":21578,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"下列计算正确的是( ) A. \\sqrt{10^{3}} 3 = 10 B. √− 6^{2} = −6 C. √4 = ±2 D. 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(±√5)^{2}= −5","result_json":"{\"basis\": \"选项A：\\\\sqrt[3]{10^3}=10，立方根与立方互为逆运算，正确。选项B：\\\\sqrt{-6^2}=\\\\sqrt{36}=6，算术平方根非负，错误。选项C：\\\\sqrt{4}=2，算术平方根取正值，错误。选项D：(\\\\pm\\\\sqrt{5})^2=5，平方后符号消失，错误。\", \"answer\": \"A\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-25T02:17:17"},{"id":426003,"import_question_id":21578,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:A || 盲解:A","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-25T02:17:17"},{"id":426008,"import_question_id":21578,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案:A || 解析:逐项验证： A.\\(\\sqrt{10^3} = \\sqrt{1000} = 10\\sqrt{10} \\neq 10\\)，但题目写作\\(\\sqrt{10^3} 3\\)，若理解为\\(\\sqrt{10^3 \\cdot 3}\\)则更复杂；结合选项与常规命题，A 实际应为\\(\\sqrt{100} = 10\\)，即\\(\\sqrt{10^2} = 10\\)，此处题干可能有排版误差，但按常见考题，A 意图为正确。","result_json":"{\"ok\": false, \"which\": [\"answer\", \"solution\"], \"issues\": [\"A 选项题干写作 \\\\sqrt{10^3} 3，与正确表达式 \\\\sqrt{10^2}=10 不符，等式不成立；解析虽指出题干可能有排版误差，但仍判定 A 正确，导致答案与严格计算矛盾。\", \"解析中承认 A 的题干表达有歧义，但未修正题干即断言 A 正确，逻辑不严谨。\", \"\\\\sqrt{10^3} 3 = 10: 原文写的是 \\\\sqrt{10^3} 3，若按字面理解为 \\\\sqrt{1000} \\\\cdot 3 或 \\\\sqrt{1000 \\\\cdot 3}，均不等于 10；即使意图是 \\\\sqrt{10^2}=10，题干也写成了 10^3，等式不成立。\", \"\\\\sqrt{-6^2} = -6: -6^2 = -36，\\\\sqrt{-36} 在实数范围内无意义，故等式不成立。\", \"\\\\sqrt{4} = \\\\pm 2: \\\\sqrt{4} 表示算术平方根，值为 2，不是 \\\\pm 2。\", \"(\\\\pm\\\\sqrt{5})^2 = -5: (\\\\pm\\\\sqrt{5})^2 = 5，不是 -5。\"], \"confidence\": 0.9, \"equation_checks\": [{\"valid\": false, \"reason\": \"原文写的是 \\\\sqrt{10^3} 3，若按字面理解为 \\\\sqrt{1000} \\\\cdot 3 或 \\\\sqrt{1000 \\\\cdot 3}，均不等于 10；即使意图是 \\\\sqrt{10^2}=10，题干也写成了 10^3，等式不成立。\", \"equation\": \"\\\\sqrt{10^3} 3 = 10\"}, {\"valid\": false, \"reason\": \"-6^2 = -36，\\\\sqrt{-36} 在实数范围内无意义，故等式不成立。\", \"equation\": \"\\\\sqrt{-6^2} = -6\"}, {\"valid\": false, \"reason\": \"\\\\sqrt{4} 表示算术平方根，值为 2，不是 \\\\pm 2。\", \"equation\": \"\\\\sqrt{4} = \\\\pm 2\"}, {\"valid\": false, \"reason\": \"(\\\\pm\\\\sqrt{5})^2 = 5，不是 -5。\", \"equation\": \"(\\\\pm\\\\sqrt{5})^2 = -5\"}]}","created_at":"2026-09-25T02:18:24"},{"id":426009,"import_question_id":21578,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:A || 盲解:A","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案一致\"}, \"status\": \"PASS\", \"applicable\": true}","created_at":"2026-09-25T02:18:24"},{"id":426010,"import_question_id":21578,"audit_type":"AUTO_REPAIR_ATTEMPT","auditor_name":"answer-repair","status":"FAIL","score":1.0,"input_snapshot":null,"result_json":"{\"critic\": true, \"symbolic\": true, \"coherence\": false, \"consensus\": \"two_solvers+symbolic+critic+coherence\", \"confidence\": 1.0, \"verifier_base\": \"http://127.0.0.1:8091/v1\", \"verifier_confidence\": 1.0, \"critic_explicit_pass\": true, \"symbolic_literal_warn\": false, \"symbolic_explicit_pass\": true, \"coherence_explicit_pass\": false}","created_at":"2026-09-25T02:18:24"}]}