{"ok":true,"question":{"id":21653,"question_uuid":"096dbdb4-3d42-47d1-aa15-4a2b2d060df9","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案455.pdf","source_page_start":1,"source_page_end":1,"source_bbox":"[30.22, 471.77, 157.57, 585.48]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"single_choice","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"下列计算正确的是(     )\", \"type\": \"text\"}, {\"type\": \"option\", \"label\": \"A\", \"blocks\": [{\"text\": \"|^{3}√−9| = 3\", \"type\": \"text\"}], \"source_bbox\": [47.57, 499.0, 99.66, 512.16], \"source_page\": 1}, {\"type\": \"option\", \"label\": \"B\", \"blocks\": [{\"text\": \"√64 = ±8\", \"type\": \"text\"}], \"source_bbox\": [47.57, 513.29, 99.0, 525.94], \"source_page\": 1}, {\"type\": \"option\", \"label\": \"C\", \"blocks\": [{\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{−7}^{2}\"}, {\"text\": \"= −7\", \"type\": \"text\"}], \"source_bbox\": [47.57, 526.56, 117.83, 547.92], \"source_page\": 1}, {\"type\": \"option\", \"label\": \"D\", \"blocks\": [{\"text\": \"^{3}√(−\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{3}\"}, {\"text\": \") = −\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{3} 3\"}], \"source_bbox\": [30.22, 562.11, 47.57, 573.68], \"source_page\": 1}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"D\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"．|^{3}√−9| = ^{3}√9，故原选项计算错误，不合题意；B．√64 = 8，故原选项计算 A 错误，不合题意；C．\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{−7}^{2}\"}, {\"text\": \"= 7，故原选项计算错误，不合题意； D ．^{3}√(−\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{3}\"}, {\"text\": \") = −\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{3}\"}, {\"text\": \"，故原选项计算正确，符合题意。故选：D 3 1 + √3 −1 + √3 x= 或x=\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.22, 471.77, 157.57, 585.48], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案455.pdf\", \"regions\": [{\"bbox\": [30.22, 471.77, 157.57, 585.48], \"page\": 1}], \"section\": \"generic\", \"page_end\": 1, \"page_start\": 1, \"section_label\": \"\", \"answer_regions\": [{\"bbox\": [43.99800109863281, 330.6500244140625, 439.5584106445313, 441.2225646972656], \"page\": 4}], \"answer_original\": \"D\", \"solution_original\": \"．|^{3}√−9| = ^{3}√9，故原选项计算错误，不合题意；B．√64 = 8，故原选项计算 A 错误，不合题意；C．√(−7)^{2}= 7，故原选项计算错误，不合题意； D ．^{3}√(− \\\\frac{1}{3}) = − \\\\frac{1}{3}，故原选项计算正确，符合题意。故选：D 3 1 + √3 −1 + √3 x= 或x=\"}, \"version\": 1, \"grade_level\": \"SENIOR\", \"number_label\": \"4\", \"subject_code\": \"math\", \"question_type\": \"single_choice\", \"content_sha256\": \"17d52c2d1d2f38deb5b04c15338aa098c98b88465259e07f215e33169abfbcaa\"}","body_html":"<div>下列计算正确的是(     )<br>A. |^{3}√−9| = 3<br>B. √64 = ±8<br>C. \\(\\sqrt{−7}^{2}\\)= −7<br>D. ^{3}√(−\\(\\frac{1}{3}\\)) = −\\(\\frac{1}{3} 3\\)</div>","answer_html":"D","ways_html":"．|^{3}√−9| = ^{3}√9，故原选项计算错误，不合题意；B．√64 = 8，故原选项计算 A 错误，不合题意；C．\\(\\sqrt{−7}^{2}\\)= 7，故原选项计算错误，不合题意； D ．^{3}√(−\\(\\frac{1}{3}\\)) = −\\(\\frac{1}{3}\\)，故原选项计算正确，符合题意。故选：D 3 1 + √3 −1 + √3 x= 或x=","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":"17d52c2d1d2f38deb5b04c15338aa098c98b88465259e07f215e33169abfbcaa","created_at":"2026-09-25T02:52:33","updated_at":"2026-09-25T03:02:45","answer_missing":false,"formula_fallback":false,"_number":"4","_section":"generic","_section_label":""},"assets":[],"knowledge":[],"audits":[{"id":427936,"import_question_id":21653,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"下列计算正确的是( ) A. |^{3}√−9| = 3 B. √64 = ±8 C. \\sqrt{−7}^{2} = −7 D. ^{3}√(− \\frac{1}{3} ) = − \\frac{1}{3} 3","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-25T02:56:04"},{"id":427937,"import_question_id":21653,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\sqrt{−7}^{2}; \\frac{1}{3}; \\frac{1}{3} 3; \\sqrt{−7}^{2}; \\frac{1}{3}","result_json":"{\"risky\": 6, \"issues\": [], \"checked\": 6, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-25T02:56:04"},{"id":427938,"import_question_id":21653,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"下列计算正确的是( ) A. |^{3}√−9| = 3 B. √64 = ±8 C. \\sqrt{−7}^{2} = −7 D. ^{3}√(− \\frac{1}{3} ) = − \\frac{1}{3} 3","result_json":"{\"picks\": [], \"tree_code\": \"KT_SENIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-25T02:56:04"},{"id":427944,"import_question_id":21653,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.95,"input_snapshot":"题干：\n下列计算正确的是( ) A. |^{3}√−9| = 3 B. √64 = ±8 C. \\(\\sqrt{−7}^{2}\\)= −7 D. ^{3}√(−\\(\\frac{1}{3}\\)) = −\\(\\frac{1}{3} 3\\)\n答案：\nD\n解析：\n．|^{3}√−9| = ^{3}√9，故原选项计算错误，不合题意；B．√64 = 8，故原选项计算 A 错误，不合题意；C．\\(\\sqrt{−7}^{2}\\)= 7，故原选项计算错误，不合题意； D ．^{3}√(−\\(\\frac{1}{3}\\)) = −\\(\\frac{1}{3}\\)，故原选项计算正确，符合题意。故选：D 3 1 + √3 −1 + √3 x= 或x=","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"解析部分末尾有无关内容 '3 1 + √3 −1 + √3 x= 或x='，建议删除以保持整洁\"]}","created_at":"2026-09-25T02:56:24"},{"id":427945,"import_question_id":21653,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"下列计算正确的是( ) A. |^{3}√−9| = 3 B. √64 = ±8 C. \\sqrt{−7}^{2} = −7 D. ^{3}√(− \\frac{1}{3} ) = − \\frac{1}{3} 3","result_json":"{\"basis\": \"逐项分析：A. |³√(-9)| = ³√9 ≈ 2.08 ≠ 3；B. √64 = 8（算术平方根取非负），不是±8；C. √((-7)²) = √49 = 7 ≠ -7；D. ³√((-1/3)³) = -1/3，正确。\", \"answer\": \"D\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-25T02:56:39"},{"id":427946,"import_question_id":21653,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:D || 盲解:D","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-25T02:56:39"},{"id":427947,"import_question_id":21653,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:D || 盲解:D","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案一致\"}, \"status\": \"PASS\", \"applicable\": true}","created_at":"2026-09-25T02:56:39"},{"id":427951,"import_question_id":21653,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案:D || 解析:．|^{3}√−9| = ^{3}√9，故原选项计算错误，不合题意；B．√64 = 8，故原选项计算 A 错误，不合题意；C．\\(\\sqrt{−7}^{2}\\)= 7，故原选项计算错误，不合题意； D ．^{3}√(−\\(\\frac{1}{3}\\)) = −\\(\\frac{1}{3}\\)，故原选项计算正确，符合题意。故选：D 3 1 + √3 −1 + √3 x= 或x=","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"选项 D 的等式 ³√(−1/3) = −1/3 不成立，因为 (−1/3)³ = −1/27 ≠ −1/3。\", \"√64 = ±8: √64 表示算术平方根，结果应为 8，而非 ±8。\", \"√(−7)² = −7: (−7)² = 49，√49 = 7，而非 −7。\"], \"confidence\": 0.9, \"equation_checks\": [{\"valid\": true, \"reason\": \"³√−9 是负数，绝对值后变为 ³√9，正确。\", \"equation\": \"|³√−9| = ³√9\"}, {\"valid\": false, \"reason\": \"√64 表示算术平方根，结果应为 8，而非 ±8。\", \"equation\": \"√64 = ±8\"}, {\"valid\": false, \"reason\": \"(−7)² = 49，√49 = 7，而非 −7。\", \"equation\": \"√(−7)² = −7\"}, {\"valid\": true, \"reason\": \"(−1/3)³ = −1/27 ≠ −1/3，因此该等式不成立。\", \"equation\": \"³√(−1/3) = −1/3\"}]}","created_at":"2026-09-25T02:57:35"},{"id":427952,"import_question_id":21653,"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":"2026-09-25T02:57:35"},{"id":427991,"import_question_id":21653,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"下列计算正确的是( ) A. |^{3}√−9| = 3 B. √64 = ±8 C. \\sqrt{−7}^{2} = −7 D. ^{3}√(− \\frac{1}{3} ) = − \\frac{1}{3} 3","result_json":"{\"basis\": \"逐项验证：A中|³√(-9)|=³√9≠3；B中√64=8（算术平方根非负）；C中√(-7)²=√49=7≠-7；D中³√(-1/3)=-³√(1/3)=-1/3，正确。\", \"answer\": \"D\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-25T03:01:10"},{"id":427992,"import_question_id":21653,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:A || 盲解:D","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-25T03:01:10"},{"id":428012,"import_question_id":21653,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案:A || 解析:逐项分析： A. |^3\\(\\sqrt{-9}\\)| = ^3√9，因为^3\\(\\sqrt{-9}\\)= -^3√9，其绝对值为^3√9，故该选项正确； B. √64 = 8，算术平方根非负，故该选项错误； C.\\(\\sqrt{-7}\\)^2 = √49 = 7，故该选项错误； D. ^3\\(\\sqrt{-1/3}\\)= -^3\\(\\sqrt{1/3}\\)≠ -1/3，因为(-1/3)^3 = -","result_json":"{\"ok\": false, \"which\": [\"answer\", \"solution\"], \"issues\": [\"答案 A 错误，因为 |^3√−9| 在实数范围内无定义。\", \"解析中 A 项推导错误，假设了 ^3√−9 = −^3√9，但在实数范围内不成立。\", \"参考盲解答案 D 也错误，因为 (−1/3)^3 ≠ −1/3。\", \"题目本身可能存在问题，若允许复数，则需明确说明；否则所有选项均不正确。\", \"|^3√−9| = 3: 在实数范围内，负数没有立方根，因此 ^3√−9 无定义，其绝对值也无法计算为 3。\", \"√64 = ±8: 算术平方根 √64 定义为非负数，即 8，而非 ±8。\", \"√(−7)^2 = −7: √(−7)^2 = √49 = 7，结果应为正数 7，而非 −7。\", \"^3√(−1/3) = −1/3: 验证：(−1/3)^3 = −1/27 ≠ −1/3，因此 −1/3 不是 −1/3 的立方根。\"], \"confidence\": 0.9, \"equation_checks\": [{\"valid\": false, \"reason\": \"在实数范围内，负数没有立方根，因此 ^3√−9 无定义，其绝对值也无法计算为 3。\", \"equation\": \"|^3√−9| = 3\"}, {\"valid\": false, \"reason\": \"算术平方根 √64 定义为非负数，即 8，而非 ±8。\", \"equation\": \"√64 = ±8\"}, {\"valid\": false, \"reason\": \"√(−7)^2 = √49 = 7，结果应为正数 7，而非 −7。\", \"equation\": \"√(−7)^2 = −7\"}, {\"valid\": false, \"reason\": \"验证：(−1/3)^3 = −1/27 ≠ −1/3，因此 −1/3 不是 −1/3 的立方根。\", \"equation\": \"^3√(−1/3) = −1/3\"}]}","created_at":"2026-09-25T03:02:45"},{"id":428013,"import_question_id":21653,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:A || 盲解:D","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":"2026-09-25T03:02:45"},{"id":428014,"import_question_id":21653,"audit_type":"AUTO_REPAIR_ATTEMPT","auditor_name":"answer-repair","status":"FAIL","score":1.0,"input_snapshot":null,"result_json":"{\"critic\": true, \"symbolic\": true, \"coherence\": false, \"consensus\": \"two_solvers+symbolic+critic+coherence\", \"confidence\": 1.0, \"verifier_base\": \"http://127.0.0.1:8092/v1\", \"verifier_confidence\": 1.0, \"critic_explicit_pass\": true, \"symbolic_literal_warn\": false, \"symbolic_explicit_pass\": false, \"coherence_explicit_pass\": false}","created_at":"2026-09-25T03:02:45"}]}