{"ok":true,"question":{"id":21574,"question_uuid":"b7143720-f09d-482e-9372-ff8917b9516e","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案445.pdf","source_page_start":2,"source_page_end":2,"source_bbox":"[31.56, 447.54, 178.1, 560.73]","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】 下列各式一定正确的是( )\", \"type\": \"text\"}, {\"kind\": \"embedded_image\", \"type\": \"figure\", \"width\": 289, \"height\": 267, \"sha256\": \"206a15665d990731fcb71659be6d75faafecdf03112937a565ae585caaf249f6\", \"caption\": \"\", \"asset_key\": \"math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/60add775-86c3-435d-af72-a7e902db4509/206a15665d99.png\", \"public_url\": \"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/60add775-86c3-435d-af72-a7e902db4509/206a15665d99.png\", \"source_bbox\": \"[30.0, 578.5, 71.19, 614.45]\", 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\"math_inline\", \"latex\": \"\\\\sqrt{(-5)^{2}}=\\\\sqrt{25}=5\\\\neq-5\"}, {\"text\": \"，A错误；\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{9}=3\"}, {\"text\": \"，而非\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\pm 3\"}, {\"text\": \"，B错误；\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{a^{2}}=|a|\"}, {\"text\": \"，当a<0时不等于a，C不一定正确；(-1)^{3}=-1，则\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{-1}=-1\"}, {\"text\": \"，D正确；故选：D．\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [31.56, 447.54, 178.1, 560.73], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案445.pdf\", \"regions\": [{\"bbox\": [31.56, 447.54, 178.1, 560.73], \"page\": 2}], \"section\": \"quiz\", \"page_end\": 2, \"page_start\": 2, \"section_label\": \"小试牛刀   ★ 独立完成，见证实力！\", \"answer_regions\": [{\"bbox\": [30.0, 220.71, 486.69, 289.75], \"page\": 4}], \"answer_original\": \"D\", \"solution_original\": \"因为√(−5)^{2}= √25 = 5 ≠−5，A错误；√9 = 3，而非± 3，B错误；√a^{2}= |a|，当a < 0时不等于a，C不一定正确；(−1)^{3}= −1，则√−1 = −1，D正确；故选：D．\"}, \"version\": 1, \"grade_level\": \"JUNIOR\", \"number_label\": \"2\", \"subject_code\": \"math\", \"question_type\": \"single_choice\", \"content_sha256\": \"9208b462566624b745c3d21c43324765236ad1f3f9a3772b3337d6ee1372499f\"}","body_html":"<div>【小试2】 下列各式一定正确的是( )<img class=\"question-figure\" src=\"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/60add775-86c3-435d-af72-a7e902db4509/206a15665d99.png\" style=\"width:54.9px!important;max-width:100%;height:auto\" alt=\"\" title=\"点击查看原图\"><br>A. \\(\\sqrt{−5}^{2}\\)= −5<br>B. √9 = ±3<br>C. \\(\\sqrt{a^{2}}\\)= a<br>D. 3√−1 = −1</div>","answer_html":"D","ways_html":"因为\\(\\sqrt{(-5)^{2}}=\\sqrt{25}=5\\neq-5\\)，A错误；\\(\\sqrt{9}=3\\)，而非\\(\\pm 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\\(\\sqrt{a^{2}}\\)= a D. 3√−1 = −1\n答案：\nD\n解析：\n因为\\(\\sqrt{(-5)^{2}}=\\sqrt{25}=5\\neq-5\\)，A错误；\\(\\sqrt{9}=3\\)，而非\\(\\pm 3\\)，B错误；\\(\\sqrt{a^{2}}=|a|\\)，当a&lt;0时不等于a，C不一定正确；(-1)^{3}=-1，则\\(\\sqrt{-1}=-1\\)，D正确；故选：D．","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"解析中D选项的推导过程可以补充说明：因为(-1)^3 = -1，所以-1是-1的立方根，即³√(-1) = -1，这样逻辑更清晰。\"]}","created_at":"2026-09-25T02:16:31"},{"id":426001,"import_question_id":21574,"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":"2026-09-25T02:16:31"},{"id":426004,"import_question_id":21574,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.95,"input_snapshot":"答案:D || 解析:因为\\(\\sqrt{(-5)^{2}}=\\sqrt{25}=5\\neq-5\\)，A错误；\\(\\sqrt{9}=3\\)，而非\\(\\pm 3\\)，B错误；\\(\\sqrt{a^{2}}=|a|\\)，当a&lt;0时不等于a，C不一定正确；(-1)^{3}=-1，则\\(\\sqrt{-1}=-1\\)，D正确；故选：D．","result_json":"{\"ok\": false, \"which\": [], \"issues\": [\"\\\\sqrt{(-5)^{2}} = -5: \\\\sqrt{25}=5\\\\neq-5\", \"\\\\sqrt{9}=\\\\pm 3: \\\\sqrt{9}=3，算术平方根非负\", \"\\\\sqrt{a^{2}}=a: \\\\sqrt{a^{2}}=|a|，当a<0时不等于a\"], \"confidence\": 0.95, \"equation_checks\": [{\"valid\": false, \"reason\": \"\\\\sqrt{25}=5\\\\neq-5\", \"equation\": \"\\\\sqrt{(-5)^{2}} = -5\"}, {\"valid\": false, \"reason\": \"\\\\sqrt{9}=3，算术平方根非负\", \"equation\": \"\\\\sqrt{9}=\\\\pm 3\"}, {\"valid\": false, \"reason\": \"\\\\sqrt{a^{2}}=|a|，当a<0时不等于a\", \"equation\": \"\\\\sqrt{a^{2}}=a\"}, {\"valid\": true, \"reason\": \"(-1)^3=-1，立方根定义成立\", \"equation\": \"\\\\sqrt[3]{-1}=-1\"}]}","created_at":"2026-09-25T02:17:22"},{"id":426005,"import_question_id":21574,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.95,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"COHERENCE\"]}","created_at":"2026-09-25T02:17:22"},{"id":426006,"import_question_id":21574,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"【小试2】 下列各式一定正确的是( ) [图] A. \\sqrt{−5}^{2} = −5 B. √9 = ±3 C. \\sqrt{a^{2}} = a D. 3√−1 = −1","result_json":"{\"basis\": \"A: \\\\sqrt{(-5)^2}=\\\\sqrt{25}=5\\\\neq -5；B: \\\\sqrt{9}=3（算术平方根取非负）；C: \\\\sqrt{a^2}=|a|，当 a<0 时不等于 a；D: \\\\sqrt[3]{-1}=-1，立方根保持符号，正确。\", \"answer\": \"D\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-25T02:18:08"},{"id":426007,"import_question_id":21574,"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":"2026-09-25T02:18:08"},{"id":426011,"import_question_id":21574,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":1.0,"input_snapshot":"答案:D || 解析:A.\\(\\sqrt{(-5)^2} = \\sqrt{25} = 5 \\neq -5\\)，错误； B.\\(\\sqrt{9} = 3\\)，算术平方根为非负数，错误； C.\\(\\sqrt{a^{2}} =\\)|a|，当 a &lt; 0 时，|a| = -\\(a \\neq\\)a，不一定正确； D.\\(\\sqrt[3]{-1} = -1\\)，因为 (-1)^3 = -1，正确。 故选：D","result_json":"{\"ok\": false, \"which\": [], \"issues\": [\"\\\\sqrt{(-5)^2} = -5: \\\\sqrt{(-5)^2} = \\\\sqrt{25} = 5，不等于 -5\", \"\\\\sqrt{9} = \\\\pm 3: \\\\sqrt{9} 表示算术平方根，结果为 3，不是 \\\\pm 3\", \"\\\\sqrt{a^2} = a: \\\\sqrt{a^2} = |a|，当 a < 0 时，|a| = -a \\\\neq a\"], \"confidence\": 1.0, \"equation_checks\": [{\"valid\": false, \"reason\": \"\\\\sqrt{(-5)^2} = \\\\sqrt{25} = 5，不等于 -5\", \"equation\": \"\\\\sqrt{(-5)^2} = -5\"}, {\"valid\": false, \"reason\": \"\\\\sqrt{9} 表示算术平方根，结果为 3，不是 \\\\pm 3\", \"equation\": \"\\\\sqrt{9} = \\\\pm 3\"}, {\"valid\": false, \"reason\": \"\\\\sqrt{a^2} = |a|，当 a < 0 时，|a| = -a \\\\neq a\", \"equation\": \"\\\\sqrt{a^2} = a\"}, {\"valid\": true, \"reason\": \"(-1)^3 = -1，正确\", \"equation\": \"\\\\sqrt[3]{-1} = 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