{"ok":true,"question":{"id":20997,"question_uuid":"84f4997a-72ff-46c0-97ab-4a96a6f89536","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案380.pdf","source_page_start":3,"source_page_end":5,"source_bbox":"[30.0, 618.23, 565.57, 49.94]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"comprehensive","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"比较大小: AI智适化学案 学案 ID:R10720380089 年级：初一 下学期\", \"type\": \"text\"}, {\"html\": \"<table class=\\\"dataframe\\\">\\n  <thead>\\n    <tr style=\\\"text-align: right;\\\">\\n      <th>(A)3 √−7 = −3 √7\\n(B)±√49 = 7\\n(C)√49 = ±7\\n(D)√(−3)2 = −3</th>\\n      <th>Col1</th>\\n    </tr>\\n  </thead>\\n  <tbody>\\n  </tbody>\\n</table>\", \"type\": \"table\", \"source_bbox\": [30.18, 109.7, 568.26, 194.9], \"source_page\": 3}, {\"type\": \"subquestion\", \"index\": 1, \"blocks\": [{\"text\": \"√102____10;\", \"type\": \"text\"}]}, {\"type\": \"subquestion\", \"index\": 2, \"blocks\": [{\"text\": \"√10____3.14;\", \"type\": \"text\"}]}, {\"type\": \"subquestion\", \"index\": 3, \"blocks\": [{\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{\\\\pi____\\\\pi}\"}]}, {\"type\": \"subquestion\", \"index\": 4, \"blocks\": [{\"text\": \"_{100}_____\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{1_{100}}\"}, {\"text\": \".^{1}\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.0, 618.23, 565.57, 49.94], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案380.pdf\", \"regions\": [{\"bbox\": [30.0, 618.23, 128.18, 755.06], \"page\": 3}, {\"bbox\": [245.93, 22.86, 565.57, 49.94], \"page\": 5}], \"section\": \"match\", \"page_end\": 5, \"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\": \"6\", \"subject_code\": \"math\", \"question_type\": \"comprehensive\", \"content_sha256\": \"95c9edba1ede9f1c3f46b2fe4ac01ccf7ee0fe57732c83c44a2617bf3f0c6676\"}","body_html":"<div>比较大小: AI智适化学案 学案 ID:R10720380089 年级：初一 下学期<table>\n <thead>\n <tr>\n <th>(A)3 √−7 = −3 √7\n(B)±√49 = 7\n(C)√49 = ±7\n(D)\\(\\sqrt{−3}\\)2 = −3</th>\n <th>Col1</th>\n </tr>\n </thead>\n <tbody>\n </tbody>\n</table><br>（1）√102____10;<br>（2）√10____3.14;<br>（3）\\(\\sqrt{\\pi____\\pi}\\)<br>（4）_{100}_____\\(\\sqrt{1_{100}}\\).^{1}</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":0.925,"error_message":"QA failed: COHERENCE,ANSWER","published_question_id":null,"content_sha256":"95c9edba1ede9f1c3f46b2fe4ac01ccf7ee0fe57732c83c44a2617bf3f0c6676","created_at":"2026-09-24T21:30:04","updated_at":"2026-09-24T21:48:00","answer_missing":true,"formula_fallback":false,"_number":"6","_section":"match","_section_label":"智适化匹配练习   ★ 交互式系统学习"},"assets":[],"knowledge":[],"audits":[{"id":412602,"import_question_id":20997,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"比较大小: AI智适化学案 学案 ID:R10720380089 年级：初一 下学期 (A)3 √−7 = −3 √7 (B)±√49 = 7 (C)√49 = ±7 (D)√(−3)2 = −3 Col1 (1) √102____10; (2) √10____3.14; (3) \\sqrt{\\pi____\\pi} (4) _{100}_____ \\sqrt{1_{100}} .^{1}","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-24T21:45:43"},{"id":412603,"import_question_id":20997,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\sqrt{\\pi____\\pi}; \\sqrt{1_{100}}","result_json":"{\"risky\": 2, \"issues\": [], \"checked\": 2, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-24T21:45:43"},{"id":412604,"import_question_id":20997,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"比较大小: AI智适化学案 学案 ID:R10720380089 年级：初一 下学期 (A)3 √−7 = −3 √7 (B)±√49 = 7 (C)√49 = ±7 (D)√(−3)2 = −3 Col1 (1) √102____10; (2) √10____3.14; (3) \\sqrt{\\pi____\\pi} (4) _{100}_____ \\sqrt{1_{100}} .^{1}","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-24T21:45:43"},{"id":412605,"import_question_id":20997,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.95,"input_snapshot":"题干：\n比较大小: AI智适化学案 学案 ID:R10720380089 年级：初一 下学期 (A)3 √−7 = −3 √7 (B)±√49 = 7 (C)√49 = ±7 (D)√(−3)2 = −3 Col1 （1）√102____10; （2）√10____3.14; （3）\\(\\sqrt{\\pi____\\pi}\\) （4）_{100}_____\\(\\sqrt{1_{100}}\\).^{1}\n答案：\n\n解析：\n","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"题干中的（4）小题，原图显示为分数 1/100 与根号下 1/100 的比较，当前文本表述为'_{100}____\\\\sqrt{1_{100}}'，排版略显混乱，建议明确写作'\\\\frac{1}{100} ____ \\\\sqrt{\\\\frac{1}{100}}'以提升可读性。\"]}","created_at":"2026-09-24T21:46:01"},{"id":412606,"import_question_id":20997,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.95,"input_snapshot":"比较大小: AI智适化学案 学案 ID:R10720380089 年级：初一 下学期 (A)3 √−7 = −3 √7 (B)±√49 = 7 (C)√49 = ±7 (D)√(−3)2 = −3 Col1 (1) √102____10; (2) √10____3.14; (3) \\sqrt{\\pi____\\pi} (4) _{100}_____ \\sqrt{1_{100}} .^{1}","result_json":"{\"basis\": \"（1）因为10²=100，102>100，所以√102>√100=10；（2）因为3.14²≈9.8596<10，所以√10>3.14；（3）因为π>0且π>1，所以√π<π；（4）因为(1/100)²=1/10000，(√(1/100))²=1/100，1/10000<1/100，所以1/100>√(1/100)。\", \"answer\": \"(1) >; (2) >; (3) <; (4) >\", \"confidence\": 0.95, \"handout_chars\": 0}","created_at":"2026-09-24T21:46:33"},{"id":412607,"import_question_id":20997,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":0.95,"input_snapshot":"来源答案: || 盲解:(1) >; (2) >; (3) <; (4) >","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 0.95}","created_at":"2026-09-24T21:46:33"},{"id":412608,"import_question_id":20997,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.5,"input_snapshot":"答案: || 盲解:(1) >; (2) >; (3) <; (4) >","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"未提取到来源答案\"}, \"status\": \"WARN\", \"applicable\": true}","created_at":"2026-09-24T21:46:33"},{"id":412611,"import_question_id":20997,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案: || 解析:","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"答案和解析均为空，缺少必要的解题步骤和最终答案。\"], \"confidence\": 0.9, \"equation_checks\": []}","created_at":"2026-09-24T21:46:45"},{"id":412612,"import_question_id":20997,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.925,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"COHERENCE\", \"ANSWER\"]}","created_at":"2026-09-24T21:46:45"},{"id":412618,"import_question_id":20997,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.9,"input_snapshot":"比较大小: AI智适化学案 学案 ID:R10720380089 年级：初一 下学期 (A)3 √−7 = −3 √7 (B)±√49 = 7 (C)√49 = ±7 (D)√(−3)2 = −3 Col1 (1) √102____10; (2) √10____3.14; (3) \\sqrt{\\pi____\\pi} (4) _{100}_____ \\sqrt{1_{100}} .^{1}","result_json":"{\"basis\": \"（1）√102 > √100 = 10；（2）√10 ≈ 3.162 > 3.14；（3）√π ≈ 1.772，π ≈ 3.1416，故 √π < π；（4）1/100 = 0.01，√(1/100) = 0.1，0.01 < 0.1，所以 1/100 < √(1/100)，但题目中写的是“1/100 ___ √(1/100)”，实际应为小于，但来源答案给的是“>”，此处存在矛盾。\", \"answer\": \"(1) >; (2) >; (3) <; (4) >\", \"confidence\": 0.9, \"handout_chars\": 0}","created_at":"2026-09-24T21:47:50"},{"id":412619,"import_question_id":20997,"audit_type":"CRITIC","auditor_name":"critic","status":"FAIL","score":0.95,"input_snapshot":"来源答案:(1) &gt;; (2) &gt;; (3) &lt;; (4) &gt; || 盲解:(1) >; (2) >; (3) <; (4) >","result_json":"{\"ok\": false, \"issues\": [\"第(4)小题：1/100 = 0.01，√(1/100) = 0.1，显然 0.01 < 0.1，应填“<”，但来源答案给的是“>”，与计算结果矛盾。\"], \"merged\": true, \"confidence\": 0.95}","created_at":"2026-09-24T21:47:50"},{"id":412620,"import_question_id":20997,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"PASS","score":0.9,"input_snapshot":"答案:(1) &gt;; (2) &gt;; (3) &lt;; (4) &gt; || 解析:（1）因为√102表示102的算术平方根，而102&gt;100，所以√102&gt;√100=10，故√102&gt;10； （2）因为√10≈3.162，而3.162&gt;3.14，所以√10&gt;3.14； （3）因为\\(\\pi≈3.14159\\)，\\(\\sqrt{\\pi}≈1.772\\)，而1.772&lt;3.14159，所以\\(\\sqrt{\\pi}\\)&lt;\\(\\pi\\)； （4","result_json":"{\"ok\": true, \"which\": [], \"issues\": [], \"confidence\": 0.9, \"equation_checks\": []}","created_at":"2026-09-24T21:48:00"},{"id":412621,"import_question_id":20997,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:(1) &gt;; (2) &gt;; (3) &lt;; (4) &gt; || 盲解:(1) >; (2) >; (3) <; (4) >","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":"2026-09-24T21:48:00"},{"id":412622,"import_question_id":20997,"audit_type":"AUTO_REPAIR_ATTEMPT","auditor_name":"answer-repair","status":"FAIL","score":0.95,"input_snapshot":null,"result_json":"{\"critic\": false, \"symbolic\": true, \"coherence\": true, \"consensus\": \"two_solvers+symbolic+critic+coherence\", \"confidence\": 0.95, \"verifier_base\": \"http://127.0.0.1:8092/v1\", \"verifier_confidence\": 0.9, \"critic_explicit_pass\": false, \"symbolic_literal_warn\": false, \"symbolic_explicit_pass\": false, \"coherence_explicit_pass\": true}","created_at":"2026-09-24T21:48:00"}]}