{"ok":true,"question":{"id":21427,"question_uuid":"2b93e94a-04d7-43bb-bf4f-0ec16a7261a4","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案420.pdf","source_page_start":2,"source_page_end":2,"source_bbox":"[303.18, 200.16, 543.79, 231.59]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"fill_blank","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"+1 ___1( 比较大小：\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{\\\\sqrt{5}}{3}\"}, {\"text\": \"填＂＞＂＜＂或＂＝＂).\", \"type\": \"text\"}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"．\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{5} +1 1\"}, {\"text\": \"与比较大小且,1 =\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{3}{3},\"}, {\"text\": \"比较分子 \", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{3}{1} \\\\sqrt{5} +\"}, {\"text\": \"与的大小，3\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{5}\"}, {\"text\": \" 2(理由:(5)2 = 5  4 2 +1 2),\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{5} +1\"}, {\"text\": \" 2 +1 = 3,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{\\\\sqrt{5}}{3}\"}, {\"text\": \"\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{3}{3} = = 1\"}, {\"text\": \". 故答案为：．\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [303.18, 200.16, 543.79, 231.59], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案420.pdf\", \"regions\": [{\"bbox\": [303.18, 200.16, 543.79, 231.59], \"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\": [302.81622314453125, 307.511962890625, 530.9343872070312, 410.7708129882813], \"page\": 2}], \"answer_original\": \"．\", \"solution_original\": \"\\\\sqrt{5} +1 1与比较大小且,1 = \\\\frac{3}{3},比较分子  \\\\frac{3}{1} \\\\sqrt{5} + 与的大小，3 \\\\sqrt{5}  2(理由:(5)2 = 5  4 2 +1 2), \\\\sqrt{5} +1  2 +1 = 3, \\\\frac{\\\\sqrt{5}}{3}  \\\\frac{3}{3} = = 1. 故答案为：．\"}, \"version\": 1, \"grade_level\": \"JUNIOR\", \"number_label\": \"2\", \"subject_code\": \"math\", \"question_type\": \"fill_blank\", \"content_sha256\": \"96412b08a02a4228f8eecc22254575046cf78490f6872128f5fedd59d502ee98\"}","body_html":"<div>+1 ___1( 比较大小：\\(\\frac{\\sqrt{5}}{3}\\)填＂＞＂＜＂或＂＝＂).</div>","answer_html":"．","ways_html":"\\(\\sqrt{5} +1 1\\)与比较大小且,1 =\\(\\frac{3}{3},\\)比较分子 \\(\\frac{3}{1} \\sqrt{5} +\\)与的大小，3\\(\\sqrt{5}\\) 2(理由:(5)2 = 5  4 2 +1 2),\\(\\sqrt{5} +1\\) 2 +1 = 3,\\(\\frac{\\sqrt{5}}{3}\\)\\(\\frac{3}{3} = = 1\\). 故答案为：．","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,ANSWER","published_question_id":null,"content_sha256":"96412b08a02a4228f8eecc22254575046cf78490f6872128f5fedd59d502ee98","created_at":"2026-09-25T01:02:22","updated_at":"2026-09-25T01:10:56","answer_missing":false,"formula_fallback":false,"_number":"2","_section":"example","_section_label":"跟我学        关键母题，常考题型各个击破！"},"assets":[],"knowledge":[],"audits":[{"id":422544,"import_question_id":21427,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"+1 ___1( 比较大小： \\frac{\\sqrt{5}}{3} 填＂＞＂＜＂或＂＝＂).","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-25T01:07:58"},{"id":422545,"import_question_id":21427,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\frac{\\sqrt{5}}{3}; \\sqrt{5} +1 1; \\frac{3}{3},; \\frac{3}{1} \\sqrt{5} +; \\sqrt{5}","result_json":"{\"risky\": 8, \"issues\": [], \"checked\": 8, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-25T01:07:58"},{"id":422546,"import_question_id":21427,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"+1 ___1( 比较大小： \\frac{\\sqrt{5}}{3} 填＂＞＂＜＂或＂＝＂).","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-25T01:07:58"},{"id":422547,"import_question_id":21427,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.9,"input_snapshot":"题干：\n+1 ___1( 比较大小：\\(\\frac{\\sqrt{5}}{3}\\)填＂＞＂＜＂或＂＝＂).\n答案：\n．\n解析：\n\\(\\sqrt{5} +1 1\\)与比较大小且,1 =\\(\\frac{3}{3},\\)比较分子 \\(\\frac{3}{1} \\sqrt{5} +\\)与的大小，3\\(\\sqrt{5}\\) 2(理由:(5)2 = 5  4 2 +1 2),\\(\\sqrt{5} +1\\) 2 +1 = 3,\\(\\frac{\\sqrt{5}}{3}\\)\\(\\frac{3}{3} = = 1\\). 故答案为：．","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.9, \"suggestions\": [\"解析中的排版较为混乱，建议优化公式和文字的排列顺序以提升可读性。\", \"题干中的填空部分可以明确标注为需填写“＞”“＜”或“＝”，避免歧义。\"]}","created_at":"2026-09-25T01:08:16"},{"id":422553,"import_question_id":21427,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.99,"input_snapshot":"+1 ___1( 比较大小： \\frac{\\sqrt{5}}{3} 填＂＞＂＜＂或＂＝＂).","result_json":"{\"basis\": \"因为√5≈2.236，所以√5+1≈3.236，除以3得约1.079，大于1。\", \"answer\": \"＞\", \"confidence\": 0.99, \"handout_chars\": 0}","created_at":"2026-09-25T01:08:24"},{"id":422554,"import_question_id":21427,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:． || 盲解:＞","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-25T01:08:24"},{"id":422555,"import_question_id":21427,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:． || 盲解:＞","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":"2026-09-25T01:08:24"},{"id":422581,"import_question_id":21427,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.95,"input_snapshot":"答案:． || 解析:\\(\\sqrt{5} +1 1\\)与比较大小且,1 =\\(\\frac{3}{3},\\)比较分子 \\(\\frac{3}{1} \\sqrt{5} +\\)与的大小，3\\(\\sqrt{5}\\) 2(理由:(5)2 = 5  4 2 +1 2),\\(\\sqrt{5} +1\\) 2 +1 = 3,\\(\\frac{\\sqrt{5}}{3}\\)\\(\\frac{3}{3} = = 1\\). 故答案","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"解析中逻辑错误：由 \\\\sqrt{5}+1>3 推出 \\\\frac{\\\\sqrt{5}}{3}>\\\\frac{3}{3} 不成立，分子应为 \\\\sqrt{5} 而非 \\\\sqrt{5}+1。\", \"正确答案应为 <，但解析得出 >，结论错误。\", \"\\\\frac{\\\\sqrt{5}}{3} > \\\\frac{3}{3}: 解析中先比较 \\\\sqrt{5}+1 与 3 的大小，得出 \\\\sqrt{5}+1>3，但随后错误地写成 \\\\frac{\\\\sqrt{5}}{3}>\\\\frac{3}{3}。实际上，若 \\\\sqrt{5}+1>3，则 \\\\frac{\\\\sqrt{5}+1}{3}>1，而非 \\\\frac{\\\\sqrt{5}}{3}>1。正确的比较应为：\\\\frac{\\\\sqrt{5}}{3} 与 1 比较，即 \\\\sqrt{5} 与 3 比较，因 \\\\sqrt{5}\\\\approx2.236<3，故 \\\\frac{\\\\sqrt{5}}{3}<1。\"], \"confidence\": 0.95, \"equation_checks\": [{\"valid\": false, \"reason\": \"解析中先比较 \\\\sqrt{5}+1 与 3 的大小，得出 \\\\sqrt{5}+1>3，但随后错误地写成 \\\\frac{\\\\sqrt{5}}{3}>\\\\frac{3}{3}。实际上，若 \\\\sqrt{5}+1>3，则 \\\\frac{\\\\sqrt{5}+1}{3}>1，而非 \\\\frac{\\\\sqrt{5}}{3}>1。正确的比较应为：\\\\frac{\\\\sqrt{5}}{3} 与 1 比较，即 \\\\sqrt{5} 与 3 比较，因 \\\\sqrt{5}\\\\approx2.236<3，故 \\\\frac{\\\\sqrt{5}}{3}<1。\", \"equation\": \"\\\\frac{\\\\sqrt{5}}{3} > \\\\frac{3}{3}\"}]}","created_at":"2026-09-25T01:09:35"},{"id":422582,"import_question_id":21427,"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":"2026-09-25T01:09:35"},{"id":422608,"import_question_id":21427,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.99,"input_snapshot":"+1 ___1( 比较大小： \\frac{\\sqrt{5}}{3} 填＂＞＂＜＂或＂＝＂).","result_json":"{\"basis\": \"要比较 \\\\frac{\\\\sqrt{5}+1}{3} 与 1 的大小，只需判断 \\\\sqrt{5}+1 与 3 的关系。因为 \\\\sqrt{5} \\\\approx 2.236，所以 \\\\sqrt{5}+1 \\\\approx 3.236 > 3，故 \\\\frac{\\\\sqrt{5}+1}{3} > 1。\", \"answer\": \"<\", \"confidence\": 0.99, \"handout_chars\": 0}","created_at":"2026-09-25T01:10:33"},{"id":422609,"import_question_id":21427,"audit_type":"CRITIC","auditor_name":"critic","status":"FAIL","score":0.95,"input_snapshot":"来源答案:&lt; || 盲解:<","result_json":"{\"ok\": false, \"issues\": [\"来源答案给出的是 <，但根据计算应为 >；题干中表达式为 \\\\frac{\\\\sqrt{5}+1}{3}，与图片一致，答案错误。\"], \"merged\": true, \"confidence\": 0.95}","created_at":"2026-09-25T01:10:33"},{"id":422617,"import_question_id":21427,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"PASS","score":0.9,"input_snapshot":"答案:&lt; || 解析:要比较\\(\\frac{\\sqrt{5}}{3}\\)与 1 的大小，只需比较分子\\(\\sqrt{5}\\)与分母 3 的大小。因为\\(\\sqrt{5} \\approx 2.236\\)，而\\(2.236 < 3\\)，所以\\(\\frac{\\sqrt{5}}{3} < 1\\)。故答案为：&lt;。","result_json":"{\"ok\": true, \"which\": [], \"issues\": [], \"confidence\": 0.9, \"equation_checks\": []}","created_at":"2026-09-25T01:10:56"},{"id":422618,"import_question_id":21427,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:&lt; || 盲解:<","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":"2026-09-25T01:10:56"},{"id":422619,"import_question_id":21427,"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\": 0.99, \"verifier_base\": \"http://127.0.0.1:8092/v1\", \"verifier_confidence\": 0.99, \"critic_explicit_pass\": false, \"symbolic_literal_warn\": false, \"symbolic_explicit_pass\": false, \"coherence_explicit_pass\": true}","created_at":"2026-09-25T01:10:56"}]}