{"ok":true,"question":{"id":20991,"question_uuid":"994e1e79-b665-443b-a1c1-f84d97222733","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案380.pdf","source_page_start":2,"source_page_end":3,"source_bbox":"[31.56, 771.95, 156.74, 192.52]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"single_choice","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"【小试2】 下列计算正确的是( )\", \"type\": \"text\"}, {\"kind\": \"embedded_image\", \"type\": \"figure\", \"width\": 289, \"height\": 268, \"sha256\": \"154f4bbcc8ae8034b40f8f93c7c9a30aa6ac5031317fac58192d315eeb126b35\", \"caption\": \"\", \"asset_key\": \"math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/7754bda4-d6eb-40f6-90d1-74936cb83d4a/154f4bbcc8ae.png\", \"public_url\": \"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/7754bda4-d6eb-40f6-90d1-74936cb83d4a/154f4bbcc8ae.png\", \"source_bbox\": \"[30.0, 210.75, 71.19, 246.7]\", \"source_page\": 3}, {\"html\": \"\\n \\n \\n \\n \\n \\n \\n \\n \\n
(A)3 √−7 = −3 √7\\n(B)±√49 = 7\\n(C)√49 = ±7\\n(D)√(−3)2 = −3Col1
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【小试2】 下列计算正确的是( )\"\"\n \n \n \n \n \n \n \n \n
(A)3 √−7 = −3 √7\n(B)±√49 = 7\n(C)√49 = ±7\n(D)\\(\\sqrt{−3}\\)2 = −3Col1

A. 3√−7 = −√73
B. ±√49 = 7
C. √49 = ±7
D. \\(\\sqrt{−3}^{2}\\)= −3
","answer_html":"A","ways_html":"由选项A.由立方根的性质：3\\(\\sqrt{−a}\\)= −√a3，则3√−7 = −√73，即 A 选项正确，符合题意；B． ± √49 = ±7，故B错吴，不符合题意；C．√49 = 7，故C错误，不符合题意；D．\\(\\sqrt{−3}^{2}\\)= 3，故D错误，不符合题意．故选A．","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.962,"error_message":"QA failed: COHERENCE,ANSWER","published_question_id":null,"content_sha256":"327199edb21b311ca0d938c88e205789ae76a0f1a59cc5b2a8a593d1de4990a5","created_at":"2026-09-24T21:30:04","updated_at":"2026-09-24T21:49:14","answer_missing":false,"formula_fallback":false,"_number":"2","_section":"quiz","_section_label":"小试牛刀 ★ 独立完成，见证实力！"},"assets":[{"id":4568,"asset_uuid":"7484bfe2-fd7b-4be2-88f6-d8fbe91c05b2","job_id":3,"import_question_id":20991,"asset_type":"embedded_image","source_file":"2026江苏七年级期末数学试卷+答案380.pdf","source_page":3,"source_bbox":"[30.0, 210.75, 71.19, 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= ±7 (D)√(−3)2 = −3 Col1 A. 3√−7 = −√73 B. ±√49 = 7 C. √49 = ±7 D. \\sqrt{−3}^{2} = −3","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-24T21:43:53"},{"id":412573,"import_question_id":20991,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\sqrt{−3}^{2}; \\sqrt{−a}; \\sqrt{−3}^{2}","result_json":"{\"risky\": 3, \"issues\": [], \"checked\": 3, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-24T21:43:53"},{"id":412574,"import_question_id":20991,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"【小试2】 下列计算正确的是( ) [图] (A)3 √−7 = −3 √7 (B)±√49 = 7 (C)√49 = ±7 (D)√(−3)2 = −3 Col1 A. 3√−7 = −√73 B. ±√49 = 7 C. √49 = ±7 D. \\sqrt{−3}^{2} = −3","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-24T21:43:53"},{"id":412577,"import_question_id":20991,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":1.0,"input_snapshot":"题干：\n【小试2】 下列计算正确的是( ) (A)3 √−7 = −3 √7 (B)±√49 = 7 (C)√49 = ±7 (D)√(−3)2 = −3 Col1 A. 3√−7 = −√73 B. ±√49 = 7 C. √49 = ±7 D. \\(\\sqrt{−3}^{2}\\)= −3\n答案：\nA\n解析：\n由选项A.由立方根的性质：3\\(\\sqrt{−a}\\)= −√a3，则3√−7 = −√73，即 A 选项正确，符合题意；B． ± √49 = ±7，故B错吴，不符合题意；C．√49 = 7，故C错误，不符合题意；D．\\(\\sqrt{−3}^{2}\\)= 3，故D错误，不符合题意．故选A．","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 1.0, \"suggestions\": [\"解析中‘故B错吴’疑似笔误，应为‘故B错误’，建议核对原文。\"]}","created_at":"2026-09-24T21:44:14"},{"id":412599,"import_question_id":20991,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.95,"input_snapshot":"【小试2】 下列计算正确的是( ) [图] (A)3 √−7 = −3 √7 (B)±√49 = 7 (C)√49 = ±7 (D)√(−3)2 = −3 Col1 A. 3√−7 = −√73 B. ±√49 = 7 C. √49 = ±7 D. \\sqrt{−3}^{2} = −3","result_json":"{\"basis\": \"选项A：根据立方根的性质，√[3]{-a} = -√[3]{a}（a≥0），因此√[3]{-7} = -√[3]{7}，正确。\\n选项B：√[2]{49} 表示49的平方根，应为±7，而非仅7，错误。\\n选项C：√[2]{49} 同样应为±7，但选项写为√[2]{49}=±7，形式上看似正确，但需注意题目中选项C实际写作√[2]{49}=±7，与B的区别在于符号；然而标准记法中√[2]{x}通常指算术平方根（非负），若按此理解则C错。但结合选项A明确正确，且B、C存在歧义，优先选A。\\n选项D：(√[2]{-3})^2 中，-3无实数平方根，故在实数范围内无意义，错误。\", \"answer\": \"A\", \"confidence\": 0.95, \"handout_chars\": 0}","created_at":"2026-09-24T21:45:42"},{"id":412600,"import_question_id":20991,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:A || 盲解:A","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-24T21:45:42"},{"id":412601,"import_question_id":20991,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:A || 盲解:A","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案一致\"}, \"status\": \"PASS\", \"applicable\": true}","created_at":"2026-09-24T21:45:42"},{"id":412609,"import_question_id":20991,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.95,"input_snapshot":"答案:A || 解析:由选项A.由立方根的性质：3\\(\\sqrt{−a}\\)= −√a3，则3√−7 = −√73，即 A 选项正确，符合题意；B． ± √49 = ±7，故B错吴，不符合题意；C．√49 = 7，故C错误，不符合题意；D．\\(\\sqrt{−3}^{2}\\)= 3，故D错误，不符合题意．故选A．","result_json":"{\"ok\": false, \"which\": [\"solution\", \"answer\"], \"issues\": [\"解析中选项 A 的推导使用了错误的立方根性质，且原题中 A 选项为 3\\\\sqrt{-7}，在实数范围内无意义，因此 A 并非正确选项。\", \"正确答案应为：四个选项均错误，但题目要求选择‘正确’的计算，若必须选一个，则原题设计有误。\", \"3\\\\sqrt{-7} = -\\\\sqrt{7^3}: 左边 3\\\\sqrt{-7} 中，\\\\sqrt{-7} 在实数范围内无定义（负数不能开平方），而右边 -\\\\sqrt{7^3} 是实数，两边类型不一致，等式不成立。\", \"\\\\pm\\\\sqrt{49} = 7: \\\\pm\\\\sqrt{49} 表示 49 的平方根，应为 \\\\pm7，而不是仅 7。\", \"\\\\sqrt{49} = \\\\pm7: \\\\sqrt{49} 表示算术平方根，结果为非负数 7，不能是 \\\\pm7。\", \"\\\\sqrt{(-3)^2} = -3: \\\\sqrt{(-3)^2} = \\\\sqrt{9} = 3，不是 -3。\"], \"confidence\": 0.95, \"equation_checks\": [{\"valid\": false, \"reason\": \"左边 3\\\\sqrt{-7} 中，\\\\sqrt{-7} 在实数范围内无定义（负数不能开平方），而右边 -\\\\sqrt{7^3} 是实数，两边类型不一致，等式不成立。\", \"equation\": \"3\\\\sqrt{-7} = -\\\\sqrt{7^3}\"}, {\"valid\": false, \"reason\": \"\\\\pm\\\\sqrt{49} 表示 49 的平方根，应为 \\\\pm7，而不是仅 7。\", \"equation\": \"\\\\pm\\\\sqrt{49} = 7\"}, {\"valid\": false, \"reason\": \"\\\\sqrt{49} 表示算术平方根，结果为非负数 7，不能是 \\\\pm7。\", \"equation\": \"\\\\sqrt{49} = \\\\pm7\"}, {\"valid\": false, \"reason\": \"\\\\sqrt{(-3)^2} = \\\\sqrt{9} = 3，不是 -3。\", \"equation\": \"\\\\sqrt{(-3)^2} = -3\"}]}","created_at":"2026-09-24T21:46:38"},{"id":412610,"import_question_id":20991,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.962,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"COHERENCE\"]}","created_at":"2026-09-24T21:46:38"},{"id":412616,"import_question_id":20991,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"【小试2】 下列计算正确的是( ) [图] (A)3 √−7 = −3 √7 (B)±√49 = 7 (C)√49 = ±7 (D)√(−3)2 = −3 Col1 A. 3√−7 = −√73 B. ±√49 = 7 C. √49 = ±7 D. \\sqrt{−3}^{2} = −3","result_json":"{\"basis\": \"选项A：根据立方根的性质，³√(-a) = -³√a，因此³√(-7) = -³√7，正确。选项B：±√49表示49的平方根，应为±7，而非仅7，错误。选项C：√49表示49的算术平方根，结果为7，而非±7，错误。选项D：√(-3)² = √9 = 3，而非-3，错误。\", \"answer\": \"A\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-24T21:47:32"},{"id":412617,"import_question_id":20991,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:无正确选项 || 盲解:A","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-24T21:47:32"},{"id":412637,"import_question_id":20991,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.95,"input_snapshot":"答案:无正确选项 || 解析:逐项验证： (A) 3√−7：在实数范围内，负数不能开平方，故无意义；(B) ±√49 = ±7，而非仅7，故错误；(C) √49 表示算术平方根，结果为7，而非±7，故错误；(D)\\(\\sqrt{−3}\\)^2 = √9 = 3，而非−3，故错误。因此四个选项均不正确。","result_json":"{\"ok\": false, \"which\": [\"answer\", \"solution\"], \"issues\": [\"选项 A 中 3√−7 在实数范围内无意义，不能与 −√73 相等；\", \"选项 B 中 ±√49 应为 ±7，而非仅 7；\", \"选项 C 中 √49 表示算术平方根，结果为 7，而非 ±7；\", \"选项 D 中 √(−3)² = 3，而非 −3；\", \"因此四个选项均不正确，答案应为‘无正确选项’，但参考盲解答案为 A 有误。\", \"3√−7 = −√73: 左边 3√−7 在实数范围内无意义（负数不能开平方），右边 −√73 有意义，两边不相等。\", \"±√49 = 7: ±√49 表示 49 的平方根，应为 ±7，而非仅 7。\", \"√49 = ±7: √49 表示算术平方根，结果为 7，而非 ±7。\", \"√(−3)² = −3: √(−3)² = √9 = 3，而非 −3。\"], \"confidence\": 0.95, \"equation_checks\": [{\"valid\": false, \"reason\": \"左边 3√−7 在实数范围内无意义（负数不能开平方），右边 −√73 有意义，两边不相等。\", \"equation\": \"3√−7 = −√73\"}, {\"valid\": false, \"reason\": \"±√49 表示 49 的平方根，应为 ±7，而非仅 7。\", \"equation\": \"±√49 = 7\"}, {\"valid\": false, \"reason\": \"√49 表示算术平方根，结果为 7，而非 ±7。\", \"equation\": \"√49 = ±7\"}, {\"valid\": false, \"reason\": \"√(−3)² = √9 = 3，而非 −3。\", \"equation\": \"√(−3)² = −3\"}]}","created_at":"2026-09-24T21:49:14"},{"id":412638,"import_question_id":20991,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:无正确选项 || 盲解:A","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":"2026-09-24T21:49:14"},{"id":412639,"import_question_id":20991,"audit_type":"AUTO_REPAIR_ATTEMPT","auditor_name":"answer-repair","status":"FAIL","score":0.95,"input_snapshot":null,"result_json":"{\"critic\": true, \"symbolic\": true, \"coherence\": false, \"consensus\": \"two_solvers+symbolic+critic+coherence\", \"confidence\": 0.95, \"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":"2026-09-24T21:49:14"}]}