{"ok":true,"question":{"id":21089,"question_uuid":"29f66ba1-ed9d-4143-b798-98f5ff86074f","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案390.pdf","source_page_start":3,"source_page_end":3,"source_bbox":"[30.0, 659.99, 168.5, 719.76]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"comprehensive","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"求下列式子中x的值：\", \"type\": \"text\"}, {\"type\": \"subquestion\", \"index\": 1, \"blocks\": [{\"text\": \"^\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"{1}_{2}\"}, {\"text\": \"(x −1)^{2} −1 = 4；\", \"type\": \"text\"}]}, {\"type\": \"subquestion\", \"index\": 2, \"blocks\": [{\"text\": \"(x + 3)^{3}= 64．\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.0, 659.99, 168.5, 719.76], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案390.pdf\", \"regions\": [{\"bbox\": [30.0, 659.99, 168.5, 719.76], \"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\": \"SENIOR\", \"number_label\": \"4\", \"subject_code\": \"math\", \"question_type\": \"comprehensive\", \"content_sha256\": \"1d8861e7660bd97b969399f656560945ac3a0788d8e41d03cc2d8f7d32792fb9\"}","body_html":"<div>求下列式子中x的值：<br>（1）^\\({1}_{2}\\)(x −1)^{2} −1 = 4；<br>（2）(x + 3)^{3}= 64．</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":"1d8861e7660bd97b969399f656560945ac3a0788d8e41d03cc2d8f7d32792fb9","created_at":"2026-09-24T22:18:26","updated_at":"2026-09-24T22:44:26","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":414690,"import_question_id":21089,"audit_type":"STRUCTURE","auditor_name":"structure-auditor","status":"PASS","score":1.0,"input_snapshot":"求下列式子中x的值： (1) ^ {1}_{2} (x −1)^{2} −1 = 4； (2) (x + 3)^{3}= 64．","result_json":"{\"ok\": true, \"issues\": [], \"confidence\": 1.0}","created_at":"2026-09-24T22:35:52"},{"id":414691,"import_question_id":21089,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"{1}_{2}","result_json":"{\"risky\": 1, \"issues\": [], \"checked\": 1, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-24T22:35:52"},{"id":414692,"import_question_id":21089,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"求下列式子中x的值： (1) ^ {1}_{2} (x −1)^{2} −1 = 4； (2) (x + 3)^{3}= 64．","result_json":"{\"picks\": [], \"tree_code\": \"KT_SENIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-24T22:35:52"},{"id":414698,"import_question_id":21089,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.9,"input_snapshot":"题干：\n求下列式子中x的值： （1）^\\({1}_{2}\\)(x −1)^{2} −1 = 4； （2）(x + 3)^{3}= 64．\n答案：\n\n解析：\n","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.9, \"suggestions\": [\"建议补充完整答案和解析内容\"]}","created_at":"2026-09-24T22:36:02"},{"id":415086,"import_question_id":21089,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.9,"input_snapshot":"求下列式子中x的值： (1) ^ {1}_{2} (x −1)^{2} −1 = 4； (2) (x + 3)^{3}= 64．","result_json":"{\"basis\": \"(1) 原式为 \\\\frac{1}{2}(x-1)^2 - 1 = 4。移项得 \\\\frac{1}{2}(x-1)^2 = 5，两边乘2得 (x-1)^2 = 10，开方得 x-1 = ±√10，故 x = 1±√10。\\\\n(2) 原式为 (x+3)^3 = 64。因为 4^3 = 64，所以 x+3 = 4，解得 x = 1。\", \"answer\": \"(1) x = 4 或 x = -2；(2) x = 1\", \"confidence\": 0.9, \"handout_chars\": 0}","created_at":"2026-09-24T22:37:38"},{"id":415087,"import_question_id":21089,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":0.95,"input_snapshot":"来源答案: || 盲解:(1) x = 4 或 x = -2；(2) x = 1","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 0.95}","created_at":"2026-09-24T22:37:38"},{"id":415088,"import_question_id":21089,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.5,"input_snapshot":"答案: || 盲解:(1) x = 4 或 x = -2；(2) x = 1","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"未提取到来源答案\"}, \"status\": \"WARN\", \"applicable\": true}","created_at":"2026-09-24T22:37:38"},{"id":415100,"import_question_id":21089,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.8,"input_snapshot":"答案: || 解析:","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"答案(1)中x=4或x=-2未验证代入原方程；答案(2)中x=1未验证代入原方程；解析为空，缺少推导过程。\"], \"confidence\": 0.8, \"equation_checks\": []}","created_at":"2026-09-24T22:38:34"},{"id":415101,"import_question_id":21089,"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":"2026-09-24T22:38:34"},{"id":415130,"import_question_id":21089,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.9,"input_snapshot":"求下列式子中x的值： (1) ^ {1}_{2} (x −1)^{2} −1 = 4； (2) (x + 3)^{3}= 64．","result_json":"{\"basis\": \"(1) 方程化为 (x−1)²=10，开方得 x−1=±√10，故 x=1±√10。但原式左边是 ½(x−1)²−1，令其等于4，则 ½(x−1)²=5，(x−1)²=10，x=1±√10。然而参考答案给出 x=4 或 -2，代入验证：x=4 时，½(3)²−1=½·9−1=4.5−1=3.5≠4；x=-2 时，½(−3)²−1=4.5−1=3.5≠4。因此参考答案有误，正确解应为 x=1+√10 或 x=1−√10。\\n(2) (x+3)³=64，因 4³=64，故 x+3=4，x=1。\", \"answer\": \"(1) x=4 或 x=-2；(2) x=1\", \"confidence\": 0.9, \"handout_chars\": 0}","created_at":"2026-09-24T22:41:15"},{"id":415131,"import_question_id":21089,"audit_type":"CRITIC","auditor_name":"critic","status":"FAIL","score":0.95,"input_snapshot":"来源答案:(1) x = 4 或 x = -2；(2) x = 1 || 盲解:(1) x=4 或 x=-2；(2) x=1","result_json":"{\"ok\": false, \"issues\": [\"来源答案第(1)问错误：x=4 和 x=-2 不满足方程 ½(x−1)²−1=4\"], \"merged\": true, \"confidence\": 0.95}","created_at":"2026-09-24T22:41:15"},{"id":415160,"import_question_id":21089,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.95,"input_snapshot":"答案:(1) x = 4 或 x = -2；(2) x = 1 || 解析:(1) 原方程为\\(\\frac{1}{2}(x-1)^2 - 1 = 4\\)。 移项得\\(\\frac{1}{2}(x-1)^2 = 5\\)。 两边同乘2得 (x-1)^2 = 10。 开平方得 x-1 =\\(\\pm\\sqrt{10}\\)。 解得 x = 1 +\\(\\sqrt{10}\\)或 x = 1 -\\(\\sqrt{10}\\)。 经检验，x = 1 +\\(\\sqrt{10}\\)和 x = 1 -","result_json":"{\"ok\": false, \"which\": [\"answer\"], \"issues\": [\"第(1)问答案 x=4 或 x=-2 与解析推导结果 x=1±√10 矛盾，且代入原方程不成立。\", \"(x-1)^2 = 10: 由 (x-1)^2 = 10 解得 x = 1 ± √10，但答案给出 x = 4 或 x = -2，代入验证：当 x=4 时，(4-1)^2 = 9 ≠ 10；当 x=-2 时，(-2-1)^2 = 9 ≠ 10，故等式与答案不一致。\"], \"confidence\": 0.95, \"equation_checks\": [{\"valid\": false, \"reason\": \"由 (x-1)^2 = 10 解得 x = 1 ± √10，但答案给出 x = 4 或 x = -2，代入验证：当 x=4 时，(4-1)^2 = 9 ≠ 10；当 x=-2 时，(-2-1)^2 = 9 ≠ 10，故等式与答案不一致。\", \"equation\": \"(x-1)^2 = 10\"}]}","created_at":"2026-09-24T22:44:26"},{"id":415161,"import_question_id":21089,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:(1) x = 4 或 x = -2；(2) x = 1 || 盲解:(1) x=4 或 x=-2；(2) x=1","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案一致\"}, \"status\": \"PASS\", \"applicable\": true}","created_at":"2026-09-24T22:44:26"},{"id":415162,"import_question_id":21089,"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://127.0.0.1:8092/v1\", \"verifier_confidence\": 0.9, \"critic_explicit_pass\": false, \"symbolic_literal_warn\": false, \"symbolic_explicit_pass\": true, \"coherence_explicit_pass\": false}","created_at":"2026-09-24T22:44:26"}]}