{"ok":true,"question":{"id":21225,"question_uuid":"e77956b9-1463-4fd0-bdcd-0792ad84b751","job_id":4,"source_file":"A中考/2026江苏中考期末数学试卷+答案85.pdf","source_page_start":4,"source_page_end":4,"source_bbox":"[30.0, 342.34, 522.12, 415.29]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"subjective","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"先化简,再求值: _{x2}_{−2x+1}÷ (1 + _{x−1}), 从−2 < x < 2的整数解中选取一个合适的x代入求值． x2−1 1\", \"type\": \"text\"}], \"source\": {\"bbox\": [30.0, 342.34, 522.12, 415.29], \"file\": \"A中考/2026江苏中考期末数学试卷+答案85.pdf\", \"regions\": [{\"bbox\": [30.0, 342.34, 522.12, 415.29], \"page\": 4}], \"section\": \"match\", \"page_end\": 4, \"page_start\": 4, \"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\": \"2\", \"subject_code\": \"math\", \"question_type\": \"subjective\", \"content_sha256\": \"657ff56bb88a9502e897128f8f711cd5b41e9814c042205e2889f7e2b1195625\"}","body_html":"<div>先化简,再求值: _{x2}_{−2x+1}÷ (1 + _{x−1}), 从−2 &lt; x &lt; 2的整数解中选取一个合适的x代入求值． x2−1 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":0.912,"error_message":"QA failed: COHERENCE,ANSWER","published_question_id":null,"content_sha256":"657ff56bb88a9502e897128f8f711cd5b41e9814c042205e2889f7e2b1195625","created_at":"2026-09-24T23:22:50","updated_at":"2026-09-25T00:04:03","answer_missing":true,"formula_fallback":false,"_number":"2","_section":"match","_section_label":"智适化匹配练习 ★ 交互式系统学习"},"assets":[],"knowledge":[],"audits":[{"id":418653,"import_question_id":21225,"audit_type":"STRUCTURE","auditor_name":"structure-auditor","status":"PASS","score":0.95,"input_snapshot":"先化简,再求值: _{x2}_{−2x+1}÷ (1 + _{x−1}), 从−2 < x < 2的整数解中选取一个合适的x代入求值． x2−1 1","result_json":"{\"ok\": true, \"issues\": [], \"confidence\": 0.95}","created_at":"2026-09-24T23:56:41"},{"id":418654,"import_question_id":21225,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"","result_json":"{\"note\": \"无公式块\", \"checked\": 0}","created_at":"2026-09-24T23:56:41"},{"id":418655,"import_question_id":21225,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"先化简,再求值: _{x2}_{−2x+1}÷ (1 + _{x−1}), 从−2 < x < 2的整数解中选取一个合适的x代入求值． x2−1 1","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-24T23:56:41"},{"id":418664,"import_question_id":21225,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.9,"input_snapshot":"题干：\n先化简,再求值: _{x2}_{−2x+1}÷ (1 + _{x−1}), 从−2 &lt; x &lt; 2的整数解中选取一个合适的x代入求值． x2−1 1\n答案：\n\n解析：\n","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.9, \"suggestions\": [\"建议补充化简后的表达式及最终求值结果，使解析更完整\"]}","created_at":"2026-09-24T23:57:02"},{"id":418688,"import_question_id":21225,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.9,"input_snapshot":"先化简,再求值: _{x2}_{−2x+1}÷ (1 + _{x−1}), 从−2 < x < 2的整数解中选取一个合适的x代入求值． x2−1 1","result_json":"{\"basis\": \"先化简分式：分子 x²-1 分解为 (x+1)(x-1)，分母 x²-2x+1 分解为 (x-1)²，约分后得 (x+1)/(x-1)。再化简括号内：1 + 1/(x-1) = x/(x-1)。原式变为 [(x+1)/(x-1)] ÷ [x/(x-1)] = (x+1)/x * (x-1)/x = (x+1)(x-1)/x²。在 -2<x<2 的整数解中，x 可取 -1,0,1。但 x=1 时分母为零，x=-1 时原式分母 x-1=-2≠0，但代入化简后的式子 (x+1)(x-1)/x² 中 x=-1 得 0/1=0，而直接代入原式分式 (x²-1)/(x(x-1)) 中 x=-1 时分母为 (-1)(-2)=2，分子为 0，结果也为 0。但题目要求从整数解中选取一个合适的 x，x=0 时原式分母 x(x-1)=0，不合适。因此只能选 x=-1 或 x=1，但 x=1 使分母为零，故只能选 x=-1。当 x=-1 时，原式 = [(-1)²-1]/[(-1)²-2*(-1)+1] ÷ (1 + 1/(-1-1)) = 0/(1+2) ÷ (1-1/2) = 0 ÷ (1/2) = 0。\", \"answer\": \"原式 = x+1; 当 x=0 时，原式 = 1\", \"confidence\": 0.9, \"handout_chars\": 0}","created_at":"2026-09-24T23:58:32"},{"id":418689,"import_question_id":21225,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":0.9,"input_snapshot":"来源答案: || 盲解:原式 = x+1; 当 x=0 时，原式 = 1","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 0.9}","created_at":"2026-09-24T23:58:32"},{"id":418690,"import_question_id":21225,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.5,"input_snapshot":"答案: || 盲解:原式 = x+1; 当 x=0 时，原式 = 1","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"未提取到来源答案\"}, \"status\": \"WARN\", \"applicable\": true}","created_at":"2026-09-24T23:58:32"},{"id":418697,"import_question_id":21225,"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\": [\"解析为空，缺少化简步骤和求值过程；答案字段也为空，未给出最终结果。\"], \"confidence\": 0.9, \"equation_checks\": []}","created_at":"2026-09-24T23:58:49"},{"id":418698,"import_question_id":21225,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.912,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"COHERENCE\", \"ANSWER\"]}","created_at":"2026-09-24T23:58:49"},{"id":418767,"import_question_id":21225,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.8,"input_snapshot":"先化简,再求值: _{x2}_{−2x+1}÷ (1 + _{x−1}), 从−2 < x < 2的整数解中选取一个合适的x代入求值． x2−1 1","result_json":"{\"basis\": \"原式 = (x²-1)/(x²-2x+1) ÷ (1 + 1/(x-1)) = (x-1)(x+1)/(x-1)² ÷ (x/(x-1)) = (x+1)/(x-1) * (x-1)/x = (x+1)/x。当x=0时，分母为0，无意义；但题目要求从-2<x<2的整数解中选取合适的x，整数解为-1,0,1。x=-1时，原式=( -1+1)/(-1)=0；x=0时无意义；x=1时，原式=(1+1)/1=2。但来源答案给出x=0时原式=1，与化简结果矛盾，故来源答案有误。\", \"answer\": \"化简结果：x+1；当x=0时，原式=1\", \"confidence\": 0.8, \"handout_chars\": 0}","created_at":"2026-09-25T00:03:23"},{"id":418768,"import_question_id":21225,"audit_type":"CRITIC","auditor_name":"critic","status":"FAIL","score":0.9,"input_snapshot":"来源答案:原式 = x+1; 当 x=0 时，原式 = 1 || 盲解:化简结果：x+1；当x=0时，原式=1","result_json":"{\"ok\": false, \"issues\": [\"来源答案给出x=0时原式=1，但x=0使分母为0，无意义；且化简结果应为(x+1)/x，而非x+1\"], \"merged\": true, \"confidence\": 0.9}","created_at":"2026-09-25T00:03:23"},{"id":418771,"import_question_id":21225,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.95,"input_snapshot":"答案:原式 = x+1; 当 x=0 时，原式 = 1 || 解析:原式 =\\(\\frac{x^{2}}{-2x+1} \\div \\left(1 + \\frac{1}{x-1}\\right) = \\frac{x^{2}}{-2x+1} \\div \\left(\\frac{x-1+1}{x-1}\\right) = \\frac{x^{2}}{-2x+1} \\cdot \\frac{x-1}{x} = \\frac{x(x-1)}{-2x+1} = \\frac{x(x-1)}","result_json":"{\"ok\": false, \"which\": [\"answer\", \"solution\"], \"issues\": [\"化简过程与结果均错误\", \"代入求值结果错误\", \"原式 = x+1: 化简结果错误。正确化简应为 -x(x-1)/(2x-1) 或等价形式，而非 x+1。\", \"当 x=0 时，原式 = 1: 代入错误。根据正确化简式，当 x=0 时，原式 = 0，而非 1。\"], \"confidence\": 0.95, \"equation_checks\": [{\"valid\": false, \"reason\": \"化简结果错误。正确化简应为 -x(x-1)/(2x-1) 或等价形式，而非 x+1。\", \"equation\": \"原式 = x+1\"}, {\"valid\": false, \"reason\": \"代入错误。根据正确化简式，当 x=0 时，原式 = 0，而非 1。\", \"equation\": \"当 x=0 时，原式 = 1\"}]}","created_at":"2026-09-25T00:04:03"},{"id":418772,"import_question_id":21225,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:原式 = x+1; 当 x=0 时，原式 = 1 || 盲解:化简结果：x+1；当x=0时，原式=1","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":"2026-09-25T00:04:03"},{"id":418773,"import_question_id":21225,"audit_type":"AUTO_REPAIR_ATTEMPT","auditor_name":"answer-repair","status":"FAIL","score":0.9,"input_snapshot":null,"result_json":"{\"critic\": false, \"symbolic\": true, \"coherence\": false, \"consensus\": \"two_solvers+symbolic+critic+coherence\", \"confidence\": 0.9, \"verifier_base\": \"http://127.0.0.1:8091/v1\", \"verifier_confidence\": 0.8, \"critic_explicit_pass\": false, \"symbolic_literal_warn\": false, \"symbolic_explicit_pass\": false, \"coherence_explicit_pass\": false}","created_at":"2026-09-25T00:04:03"}]}