{"ok":true,"question":{"id":21084,"question_uuid":"fd75f216-17c5-432f-8b33-a7d8e0e759fa","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":2,"source_page_end":2,"source_bbox":"[31.56, 716.13, 307.63, 747.96]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"fill_blank","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"【小试1】 若√x −25 + （y + 5）^{2}= 0，则√xy3的值为____．\", \"type\": \"text\"}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"−5\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"因为√x −25 + （y + 5）^{2}= 0，∴x −25 = 0, y + 5 = 0, 解得x = 25, y = −5，将x = 25, y = −5代入 3√xy得，3√xy=3\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{25 \\\\times (−5)}=\"}, {\"text\": \"−5.\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [31.56, 716.13, 307.63, 747.96], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案390.pdf\", \"regions\": [{\"bbox\": [31.56, 716.13, 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(−5)}=\\)−5.","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":"338c55e65e1f03dae5b6645fc5832c85881e4c85b2fb974e34b893bd1ae50814","created_at":"2026-09-24T22:18:26","updated_at":"2026-09-24T22:46:40","answer_missing":false,"formula_fallback":false,"_number":"1","_section":"quiz","_section_label":"小试牛刀   ★ 独立完成，见证实力！"},"assets":[],"knowledge":[],"audits":[{"id":415051,"import_question_id":21084,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"【小试1】 若√x −25 + （y + 5）^{2}= 0，则√xy3的值为____．","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 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+ 5）^{2}= 0，∴x −25 = 0, y + 5 = 0, 解得x = 25, y = −5，将x = 25, y = −5代入 3√xy得，3√xy=3\\(\\sqrt{25 \\times (−5)}=\\)−5.","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"解析中立方根符号的排版可优化，建议写作 \\\\sqrt[3]{xy} 以增强可读性\"]}","created_at":"2026-09-24T22:36:46"},{"id":415079,"import_question_id":21084,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"【小试1】 若√x −25 + （y + 5）^{2}= 0，则√xy3的值为____．","result_json":"{\"basis\": \"由√(x−25)+(y+5)²=0知两项均非负，故√(x−25)=0且(y+5)²=0，解得x=25，y=−5。于是³√(xy)=³√(25×(−5))=³√(−125)=−5。\", \"answer\": \"-5\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-24T22:37:08"},{"id":415080,"import_question_id":21084,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:−5 || 盲解:-5","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-24T22:37:08"},{"id":415081,"import_question_id":21084,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:−5 || 盲解:-5","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":"2026-09-24T22:37:08"},{"id":415121,"import_question_id":21084,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案:−5 || 解析:因为√x −25 + （y + 5）^{2}= 0，∴x −25 = 0, y + 5 = 0, 解得x = 25, y = −5，将x = 25, y = −5代入 3√xy得，3√xy=3\\(\\sqrt{25 \\times (−5)}=\\)−5.","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"解析中错误地将 √x −25 理解为 x−25，导致 x 取值错误\", \"代入后计算 √(25×(−5)) 时忽略负数开方无实数解，直接得出 −5 不严谨\", \"√x −25 + (y + 5)^2 = 0 ⇒ x −25 = 0, y + 5 = 0: 原式应为 √x − 25 + (y+5)^2 = 0，但解析误写为 x−25=0，实际应为 √x = 25，即 x = 625\", \"√(25 × (−5)) = −5: √(25×(−5)) = √(−125) 为虚数，不等于 −5；且原题中 y = −5 导致 xy 为负，√(xy) 无实数解\"], \"confidence\": 0.9, \"equation_checks\": [{\"valid\": false, \"reason\": \"原式应为 √x − 25 + (y+5)^2 = 0，但解析误写为 x−25=0，实际应为 √x = 25，即 x = 625\", \"equation\": \"√x −25 + (y + 5)^2 = 0 ⇒ x −25 = 0, y + 5 = 0\"}, {\"valid\": false, \"reason\": \"√(25×(−5)) = √(−125) 为虚数，不等于 −5；且原题中 y = −5 导致 xy 为负，√(xy) 无实数解\", \"equation\": \"√(25 × (−5)) = −5\"}]}","created_at":"2026-09-24T22:40:27"},{"id":415122,"import_question_id":21084,"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":"2026-09-24T22:40:27"},{"id":415150,"import_question_id":21084,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"【小试1】 若√x −25 + （y + 5）^{2}= 0，则√xy3的值为____．","result_json":"{\"basis\": \"由√(x−25)+(y+5)²=0知，两项均非负，故各自为零：x−25=0⇒x=25；y+5=0⇒y=−5。于是xy=25×(−5)=−125，其立方根³√(−125)=−5。\", \"answer\": \"-5\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-24T22:42:50"},{"id":415151,"import_question_id":21084,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:−5 || 盲解:-5","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-24T22:42:50"},{"id":415174,"import_question_id":21084,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.95,"input_snapshot":"答案:−5 || 解析:由√x − 25 + (y + 5)^2 = 0，得√x = 25，y + 5 = 0，解得x = 625，y = −5。代入√(\\(xy^{3}\\))：\\(xy^{3}\\)=\\(625 \\times (−5)^3 = 625 \\times (−125) =\\)−78125。在实数范围内，负数不能开平方，但若题目允许复数，则\\(\\sqrt{−78125}\\)=\\(\\sqrt{78125}\\)·i ","result_json":"{\"ok\": false, \"which\": [\"answer\", \"solution\"], \"issues\": [\"答案 −5 与所求表达式 √(xy³) 的数值不符；解析中承认实数范围内无定义、复数范围内为 ±625i，却仍取 −5 作为答案，逻辑矛盾。\", \"解析推测原题可能有笔误（如所求实为 y 的值），但未明确修正题目或表达式，直接沿用原题导致答案错误。\", \"√(xy^3) = −5: 在实数范围内，√(−78125) 无定义；在复数范围内，√(−78125) = ±625i，均不等于 −5。\"], \"confidence\": 0.95, \"equation_checks\": [{\"valid\": true, \"reason\": \"由√x − 25 + (y+5)^2 = 0 且 (y+5)^2 ≥ 0，得√x − 25 ≤ 0，但√x ≥ 0，故只有√x = 25 且 (y+5)^2 = 0 同时成立。\", \"equation\": \"√x = 25\"}, {\"valid\": true, \"reason\": \"同上，(y+5)^2 = 0 ⇒ y = −5。\", \"equation\": \"y + 5 = 0\"}, {\"valid\": true, \"reason\": \"√x = 25 ⇒ x = 625。\", \"equation\": \"x = 625\"}, {\"valid\": true, \"reason\": \"计算正确：(−5)^3 = −125，625 × (−125) = −78125。\", \"equation\": \"xy^3 = 625 × (−5)^3 = −78125\"}, {\"valid\": false, \"reason\": \"在实数范围内，√(−78125) 无定义；在复数范围内，√(−78125) = ±625i，均不等于 −5。\", \"equation\": \"√(xy^3) = −5\"}]}","created_at":"2026-09-24T22:46:40"},{"id":415175,"import_question_id":21084,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:−5 || 盲解:-5","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\": 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