{"ok":true,"question":{"id":21405,"question_uuid":"6c225ab0-eb57-4d52-9c5b-b6cd9876bb03","job_id":4,"source_file":"A中考/2026江苏中考期末数学试卷+答案95.pdf","source_page_start":5,"source_page_end":6,"source_bbox":"[30.0, 126.1, 412.26, 134.61]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"subjective","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"先化简，再求值：\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"(a + 3b)^{2} + (a - 3b)(a + 3b)\"}, {\"text\": \"，其中\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"a = 2\"}, {\"text\": \",\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"b = -1\"}, {\"text\": \".\", \"type\": \"text\"}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"20\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"原式 = (a+3b)^2 + (\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"a^{2}\"}, {\"text\": \"-\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"9b^{2}\"}, {\"text\": \") =\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"a^{2}\"}, {\"text\": \"+ 6ab +\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"9b^{2}\"}, {\"text\": \"+\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"a^{2}\"}, {\"text\": \"-\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"9b^{2}\"}, {\"text\": \"=\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"2a^{2}\"}, {\"text\": \"+ 6ab。代入 a=2, b=-1 得 2*(4) + 6*(2)*(-1) = 8 - 12 = -4。\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.0, 126.1, 412.26, 134.61], \"file\": \"A中考/2026江苏中考期末数学试卷+答案95.pdf\", \"regions\": [{\"bbox\": [45.0, 126.1, 412.26, 202.53], \"page\": 5}, {\"bbox\": [30.0, 67.66, 77.44, 134.61], \"page\": 6}], \"section\": \"generic\", \"page_end\": 6, \"page_start\": 5, \"section_label\": \"\", \"answer_regions\": [], \"answer_original\": \"\", \"solution_original\": \"\"}, \"version\": 1, \"grade_level\": \"SENIOR\", \"number_label\": \"15\", \"subject_code\": \"math\", \"question_type\": \"subjective\", \"content_sha256\": \"e0316b5c8c8bef733b5f7f69a7594a1ef44bd620d66b24eaf3a466265f38dd43\"}","body_html":"<div>先化简，再求值：\\((a + 3b)^{2} + (a - 3b)(a + 3b)\\)，其中\\(a = 2\\),\\(b = -1\\).</div>","answer_html":"20","ways_html":"原式 = (a+3b)^2 + (\\(a^{2}\\)-\\(9b^{2}\\)) =\\(a^{2}\\)+ 6ab +\\(9b^{2}\\)+\\(a^{2}\\)-\\(9b^{2}\\)=\\(2a^{2}\\)+ 6ab。代入 a=2, b=-1 得 2*(4) + 6*(2)*(-1) = 8 - 12 = -4。","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.975,"error_message":"QA failed: VISION,CRITIC","published_question_id":null,"content_sha256":"e0316b5c8c8bef733b5f7f69a7594a1ef44bd620d66b24eaf3a466265f38dd43","created_at":"2026-09-25T00:44:08","updated_at":"2026-09-25T01:02:41","answer_missing":false,"formula_fallback":false,"_number":"15","_section":"generic","_section_label":""},"assets":[],"knowledge":[],"audits":[{"id":421885,"import_question_id":21405,"audit_type":"STRUCTURE","auditor_name":"structure-auditor","status":"PASS","score":1.0,"input_snapshot":"先化简，再求值： (a + 3b)^{2} + (a - 3b)(a + 3b) ，其中 a = 2 , b = -1 .","result_json":"{\"ok\": true, \"issues\": [], \"confidence\": 1.0}","created_at":"2026-09-25T01:00:33"},{"id":421886,"import_question_id":21405,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"(a + 3b)^{2} + (a - 3b)(a + 3b); a = 2; b = -1","result_json":"{\"risky\": 1, \"issues\": [], \"checked\": 3, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-25T01:00:33"},{"id":421887,"import_question_id":21405,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"先化简，再求值： (a + 3b)^{2} + (a - 3b)(a + 3b) ，其中 a = 2 , b = -1 .","result_json":"{\"picks\": [], \"tree_code\": \"KT_SENIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-25T01:00:33"},{"id":421891,"import_question_id":21405,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"先化简，再求值： (a + 3b)^{2} + (a - 3b)(a + 3b) ，其中 a = 2 , b = -1 .","result_json":"{\"basis\": \"原式 = (a+3b)^2 + (a^2 - 9b^2) = a^2 + 6ab + 9b^2 + a^2 - 9b^2 = 2a^2 + 6ab。代入 a=2, b=-1 得 2*(4) + 6*(2)*(-1) = 8 - 12 = -4。\", \"answer\": \"20\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-25T01:01:02"},{"id":421892,"import_question_id":21405,"audit_type":"CRITIC","auditor_name":"critic","status":"FAIL","score":1.0,"input_snapshot":"来源答案: || 盲解:20","result_json":"{\"ok\": false, \"issues\": [\"来源答案给出的是'2-√3'和一个分式表达式，与本题完全无关；正确答案应为-4\"], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-25T01:01:02"},{"id":421896,"import_question_id":21405,"audit_type":"VISION","auditor_name":"vision-auditor","status":"FAIL","score":0.9,"input_snapshot":"题干：\n先化简，再求值：\\((a + 3b)^{2} + (a - 3b)(a + 3b)\\)，其中\\(a = 2\\),\\(b = -1\\).\n答案：\n\n解析：\n","result_json":"{\"ok\": false, \"hard\": true, \"issues\": [\"答案区域显示的答案 `1. 2 - √3` 与题干计算的预期结果不符，且格式混乱（似为其他题目的答案）\", \"解析区域显示 `原式 = (a-1)/(a-7)`，与题干 `(a+3b)^2 + (a-3b)(a+3b)` 完全无关，属于答案错位\", \"解析区域末尾出现孤立的数字 `7`，无上下文，属于排版错误\"], \"confidence\": 0.9, \"suggestions\": [\"核对原卷，确认该题正确答案及解析，并修正当前文本中的错位内容\"]}","created_at":"2026-09-25T01:01:16"},{"id":421897,"import_question_id":21405,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:20 || 盲解:20","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案一致\"}, \"status\": \"PASS\", \"applicable\": true}","created_at":"2026-09-25T01:01:16"},{"id":421927,"import_question_id":21405,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:20 || 解析:原式 = (a+3b)^2 + (\\(a^{2}\\)-\\(9b^{2}\\)) =\\(a^{2}\\)+ 6ab +\\(9b^{2}\\)+\\(a^{2}\\)-\\(9b^{2}\\)=\\(2a^{2}\\)+ 6ab。代入 a=2, b=-1 得 2*(4) + 6*(2)*(-1) = 8 - 12 = -4。","result_json":"{\"ok\": true, \"which\": [], \"issues\": [], \"confidence\": 1.0, \"equation_checks\": [{\"valid\": true, \"reason\": \"平方差公式应用正确\", \"equation\": \"(a - 3b)(a + 3b) = a^2 - 9b^2\"}, {\"valid\": true, \"reason\": \"展开完全平方并合并中间项正确\", \"equation\": \"(a+3b)^2 + (a^2 - 9b^2) = a^2 + 6ab + 9b^2 + a^2 - 9b^2\"}, {\"valid\": true, \"reason\": \"合并同类项正确，9b^2 与 -9b^2 抵消\", \"equation\": \"a^2 + 6ab + 9b^2 + a^2 - 9b^2 = 2a^2 + 6ab\"}, {\"valid\": true, \"reason\": \"数值代入与计算正确\", \"equation\": \"代入 a=2, b=-1 得 2*(4) + 6*(2)*(-1) = 8 - 12 = -4\"}]}","created_at":"2026-09-25T01:02:41"},{"id":421928,"import_question_id":21405,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.975,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"VISION\", \"CRITIC\"]}","created_at":"2026-09-25T01:02:41"}]}