{"ok":true,"question":{"id":21662,"question_uuid":"4a5617e0-10b6-4362-bc01-da1dc6a39ee8","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":3,"source_page_end":3,"source_bbox":"[30.22, 116.04, 241.05, 174.84]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"comprehensive","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"2\", \"type\": \"text\"}, {\"type\": \"subquestion\", \"index\": 1, \"blocks\": [{\"text\": \"计算：\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt[3]{-64} - \\\\sqrt{9} + \\\\sqrt{1} - (\\\\frac{4}{5})\"}, {\"text\": \".\", \"type\": \"text\"}]}, {\"type\": \"subquestion\", \"index\": 2, \"blocks\": [{\"text\": \"计算：√4 + ^{3}√−8 −\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{−1}^{2}\"}, {\"text\": \"．\", \"type\": \"text\"}]}, {\"type\": \"answer\", \"blocks\": [{\"type\": \"math_inline\", \"latex\": \"-6 \\\\frac{2}{5}; -1\"}, {\"text\": \".\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"原式 = −4 −3 +\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{3}{5} =\"}, {\"text\": \"−\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"6 \\\\frac{2}{5}\"}, {\"text\": \"．\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{(1)}{(2)}\"}, {\"text\": \"原式= 2 −2 −1 = −1．\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.22, 116.04, 241.05, 174.84], \"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, 116.04, 241.05, 174.84], \"page\": 3}], \"section\": \"generic\", \"page_end\": 3, \"page_start\": 3, \"section_label\": \"\", \"answer_regions\": [{\"bbox\": [43.99800109863281, 286.1739501953125, 212.23228454589844, 350.3753967285156], \"page\": 5}], \"answer_original\": \"−6 \\\\frac{2}{5}; −1．\", \"solution_original\": \"原式 = −4 −3 + \\\\frac{3}{5} = −6 \\\\frac{2}{5} ． \\\\frac{(1)}{(2)} 原式= 2 −2 −1 = −1．\"}, \"version\": 1, \"grade_level\": \"SENIOR\", \"number_label\": \"14\", \"subject_code\": \"math\", \"question_type\": \"comprehensive\", \"content_sha256\": \"7e49d5e826f07de33975b4d095d52f0c7ec08932e1a25008af3c45ddf09aeff1\"}","body_html":"<div>2<br>（1）计算：\\(\\sqrt[3]{-64} - \\sqrt{9} + \\sqrt{1} - (\\frac{4}{5})\\).<br>（2）计算：√4 + ^{3}√−8 −\\(\\sqrt{−1}^{2}\\)．</div>","answer_html":"\\(-6 \\frac{2}{5}; -1\\).","ways_html":"原式 = −4 −3 +\\(\\frac{3}{5} =\\)−\\(6 \\frac{2}{5}\\)．\\(\\frac{(1)}{(2)}\\)原式= 2 −2 −1 = −1．","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.917,"error_message":"QA failed: SOLVER,CRITIC,COHERENCE","published_question_id":null,"content_sha256":"7e49d5e826f07de33975b4d095d52f0c7ec08932e1a25008af3c45ddf09aeff1","created_at":"2026-09-25T02:52:33","updated_at":"2026-09-25T03:05:47","answer_missing":false,"formula_fallback":false,"_number":"14","_section":"generic","_section_label":""},"assets":[],"knowledge":[],"audits":[{"id":428018,"import_question_id":21662,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"2 (1) 计算： \\sqrt[3]{-64} - \\sqrt{9} + \\sqrt{1} - (\\frac{4}{5}) . (2) 计算：√4 + ^{3}√−8 − \\sqrt{−1}^{2} ．","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-25T03:02:54"},{"id":428019,"import_question_id":21662,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\sqrt[3]{-64} - \\sqrt{9} + \\sqrt{1} - (\\frac{4}{5}); \\sqrt{−1}^{2}; -6 \\frac{2}{5}; -1; \\frac{3}{5} =; 6 \\frac{2}{5}","result_json":"{\"risky\": 6, \"issues\": [], \"checked\": 6, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-25T03:02:54"},{"id":428020,"import_question_id":21662,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"2 (1) 计算： \\sqrt[3]{-64} - \\sqrt{9} + \\sqrt{1} - (\\frac{4}{5}) . (2) 计算：√4 + ^{3}√−8 − \\sqrt{−1}^{2} ．","result_json":"{\"picks\": [], \"tree_code\": \"KT_SENIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-25T03:02:54"},{"id":428022,"import_question_id":21662,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.95,"input_snapshot":"题干：\n2 （1）计算：\\(\\sqrt[3]{-64} - \\sqrt{9} + \\sqrt{1} - (\\frac{4}{5})\\). （2）计算：√4 + ^{3}√−8 −\\(\\sqrt{−1}^{2}\\)．\n答案：\n\\(-6 \\frac{2}{5}; -1\\).\n解析：\n原式 = −4 −3 +\\(\\frac{3}{5} =\\)−\\(6 \\frac{2}{5}\\)．\\(\\frac{(1)}{(2)}\\)原式= 2 −2 −1 = −1．","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"题干中（2）的根号书写格式可优化为更标准的数学排版，例如将√4写作\\\\sqrt{4}，以提升可读性。\", \"解析部分可补充中间步骤的说明，例如明确√1−(4/5)²的计算过程，帮助理解。\"]}","created_at":"2026-09-25T03:03:23"},{"id":428030,"import_question_id":21662,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"WARN","score":0.4,"input_snapshot":"2 (1) 计算： \\sqrt[3]{-64} - \\sqrt{9} + \\sqrt{1} - (\\frac{4}{5}) . (2) 计算：√4 + ^{3}√−8 − \\sqrt{−1}^{2} ．","result_json":"{\"note\": \"盲解+评判合并调用未返回\"}","created_at":"2026-09-25T03:04:14"},{"id":428031,"import_question_id":21662,"audit_type":"CRITIC","auditor_name":"critic","status":"WARN","score":0.5,"input_snapshot":"2 (1) 计算： \\sqrt[3]{-64} - \\sqrt{9} + \\sqrt{1} - (\\frac{4}{5}) . (2) 计算：√4 + ^{3}√−8 − \\sqrt{−1}^{2} ．","result_json":"{\"note\": \"Critic 未返回结果\"}","created_at":"2026-09-25T03:04:14"},{"id":428032,"import_question_id":21662,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.5,"input_snapshot":"答案:\\(-6 \\frac{2}{5}; -1\\). || 盲解:","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解未给出答案\"}, \"status\": \"WARN\", \"applicable\": true}","created_at":"2026-09-25T03:04:14"},{"id":428038,"import_question_id":21662,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案:\\(-6 \\frac{2}{5}; -1\\). || 解析:原式 = −4 −3 +\\(\\frac{3}{5} =\\)−\\(6 \\frac{2}{5}\\)．\\(\\frac{(1)}{(2)}\\)原式= 2 −2 −1 = −1．","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"第一小题解析中 \\\\sqrt{1} 被错误地写成 \\\\frac{3}{5}，导致结果错误。\", \"第二小题解析中 \\\\sqrt{-1}^2 的处理错误，应为 -1，但解析中当作 1 处理，导致最终结果错误。\", \"原式 = −4 −3 +\\\\frac{3}{5}: 第一步计算错误。\\\\sqrt[3]{-64} = -4 正确，\\\\sqrt{9} = 3 正确，但 \\\\sqrt{1} = 1，不是 \\\\frac{3}{5}。且 \\\\sqrt{1} - \\\\frac{4}{5} = 1 - 0.8 = 0.2 = \\\\frac{1}{5}，不是 \\\\frac{3}{5}。\", \"\\\\sqrt{4} + ^{3}\\\\sqrt{-8} - \\\\sqrt{-1}^2 = 2 - 2 - 1: 第二步计算错误。\\\\sqrt{4}=2 正确，\\\\sqrt[3]{-8}=-2 正确，但 \\\\sqrt{-1}^2 应理解为 (\\\\sqrt{-1})^2 = i^2 = -1，所以 \\\\sqrt{4} + \\\\sqrt[3]{-8} - (\\\\sqrt{-1})^2 = 2 + (-2) - (-1) = 0 + 1 = 1，而不是 2 - 2 - 1 = -1。\"], \"confidence\": 0.9, \"equation_checks\": [{\"valid\": false, \"reason\": \"第一步计算错误。\\\\sqrt[3]{-64} = -4 正确，\\\\sqrt{9} = 3 正确，但 \\\\sqrt{1} = 1，不是 \\\\frac{3}{5}。且 \\\\sqrt{1} - \\\\frac{4}{5} = 1 - 0.8 = 0.2 = \\\\frac{1}{5}，不是 \\\\frac{3}{5}。\", \"equation\": \"原式 = −4 −3 +\\\\frac{3}{5}\"}, {\"valid\": false, \"reason\": \"第二步计算错误。\\\\sqrt{4}=2 正确，\\\\sqrt[3]{-8}=-2 正确，但 \\\\sqrt{-1}^2 应理解为 (\\\\sqrt{-1})^2 = i^2 = -1，所以 \\\\sqrt{4} + \\\\sqrt[3]{-8} - (\\\\sqrt{-1})^2 = 2 + (-2) - (-1) = 0 + 1 = 1，而不是 2 - 2 - 1 = -1。\", \"equation\": \"\\\\sqrt{4} + ^{3}\\\\sqrt{-8} - \\\\sqrt{-1}^2 = 2 - 2 - 1\"}]}","created_at":"2026-09-25T03:05:47"},{"id":428039,"import_question_id":21662,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.917,"input_snapshot":"","result_json":"{\"warnings\": [\"SOLVER\"], \"graded_gate\": true, \"hard_failed\": [\"CRITIC\", \"COHERENCE\"]}","created_at":"2026-09-25T03:05:47"}]}