{"ok":true,"question":{"id":21085,"question_uuid":"993a9d24-bd1f-4748-9753-3c82c617a758","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案390.pdf","source_page_start":2,"source_page_end":3,"source_bbox":"[31.56, 751.67, 158.06, 125.44]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"comprehensive","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"【小试2】 求下列各式中x的值：\", \"type\": \"text\"}, {\"html\": \"<table class=\\\"dataframe\\\">\\n  <thead>\\n    <tr style=\\\"text-align: right;\\\">\\n      <th>(2)3(x −1)3 + 81 = 0.</th>\\n      <th>Col1</th>\\n    </tr>\\n  </thead>\\n  <tbody>\\n  </tbody>\\n</table>\", \"type\": \"table\", \"source_bbox\": [30.18, 109.7, 568.26, 283.49], \"source_page\": 3}, {\"type\": \"subquestion\", \"index\": 1, \"blocks\": [{\"type\": \"math_inline\", \"latex\": \"8x^{3}\"}, {\"text\": \"+ 125 = 0;\", \"type\": \"text\"}]}, {\"type\": \"subquestion\", \"index\": 2, \"blocks\": [{\"text\": \"3(x −1)^{3}+ 81 = 0.\", \"type\": \"text\"}]}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"(1)x = − 5\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"_{2}; (2)x = −2. (1)\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"8x^{3}\"}, {\"text\": \"+ 125 = 0,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"8x^{3}\"}, {\"text\": \"= −125,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"x^{3}\"}, {\"text\": \"= − 125 3\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"5 _{8}\"}, {\"text\": \", x =√−\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{125}{8}\"}, {\"text\": \"x = − _{2};(2)3(x −1)^{3} + 81 = 0,3(x −1)^{3}= −81, (x −1)^{3}= −27, x −1 = −3, x = −2.\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [31.56, 751.67, 158.06, 125.44], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案390.pdf\", \"regions\": [{\"bbox\": [31.56, 751.67, 158.06, 796.82], \"page\": 2}, {\"bbox\": [31.56, 108.99, 156.62, 125.44], \"page\": 3}], \"section\": \"quiz\", \"page_end\": 3, \"page_start\": 2, \"section_label\": \"小试牛刀   ★ 独立完成，见证实力！\", \"answer_regions\": [{\"bbox\": [30.0, 256.21, 530.7, 327.43], \"page\": 5}]}, \"version\": 1, \"grade_level\": \"SENIOR\", \"number_label\": \"2\", \"subject_code\": \"math\", \"question_type\": \"comprehensive\", \"content_sha256\": \"b97adfe061bd36b581ffa30e4748efe11293b972891ed00027d3030632ce29e0\"}","body_html":"<div>【小试2】 求下列各式中x的值：<table>\n <thead>\n <tr>\n <th>(2)3(x −1)3 + 81 = 0.</th>\n <th>Col1</th>\n </tr>\n </thead>\n <tbody>\n </tbody>\n</table><br>（1）\\(8x^{3}\\)+ 125 = 0;<br>（2）3(x −1)^{3}+ 81 = 0.</div>","answer_html":"(1)x = − 5","ways_html":"_{2}; (2)x = −2. (1)\\(8x^{3}\\)+ 125 = 0,\\(8x^{3}\\)= −125,\\(x^{3}\\)= − 125 3\\(5 _{8}\\), x =√−\\(\\frac{125}{8}\\)x = − _{2};(2)3(x −1)^{3} + 81 = 0,3(x −1)^{3}= −81, (x −1)^{3}= −27, x −1 = −3, x = −2.","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":null,"error_message":"处理异常: LLM call failed after retries: HTTPConnectionPool(host='127.0.0.1', port=8091): Read timed out. (read timeout=120) [endpoints: http://127.0.0.1:8092/v1 -> http://127.0.0.1:8091/v1]","published_question_id":null,"content_sha256":"b97adfe061bd36b581ffa30e4748efe11293b972891ed00027d3030632ce29e0","created_at":"2026-09-24T22:18:26","updated_at":"2026-09-24T22:40:11","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":[],"knowledge":[],"audits":[{"id":414669,"import_question_id":21085,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"【小试2】 求下列各式中x的值： (2)3(x −1)3 + 81 = 0. Col1 (1) 8x^{3} + 125 = 0; (2) 3(x −1)^{3}+ 81 = 0.","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-24T22:35:03"},{"id":414670,"import_question_id":21085,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"8x^{3}; 8x^{3}; 8x^{3}; x^{3}; 5 _{8}","result_json":"{\"risky\": 6, \"issues\": [], \"checked\": 6, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-24T22:35:03"},{"id":414671,"import_question_id":21085,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"【小试2】 求下列各式中x的值： (2)3(x −1)3 + 81 = 0. Col1 (1) 8x^{3} + 125 = 0; (2) 3(x −1)^{3}+ 81 = 0.","result_json":"{\"picks\": [], \"tree_code\": \"KT_SENIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-24T22:35:03"},{"id":414683,"import_question_id":21085,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.95,"input_snapshot":"题干：\n【小试2】 求下列各式中x的值： (2)3(x −1)3 + 81 = 0. Col1 （1）\\(8x^{3}\\)+ 125 = 0; （2）3(x −1)^{3}+ 81 = 0.\n答案：\n(1)x = − 5\n解析：\n_{2}; (2)x = −2. (1)\\(8x^{3}\\)+ 125 = 0,\\(8x^{3}\\)= −125,\\(x^{3}\\)= − 125 3\\(5 _{8}\\), x =√−\\(\\frac{125}{8}\\)x = − _{2};(2)3(x −1)^{3} + 81 = 0,3(x −1)^{3}= −81, (x −1)^{3}= −27, x −1 = −3, x = −2.","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"解析部分的排版可以优化，例如将步骤分行显示以提高可读性\"]}","created_at":"2026-09-24T22:35:26"},{"id":415048,"import_question_id":21085,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"【小试2】 求下列各式中x的值： (2)3(x −1)3 + 81 = 0. Col1 (1) 8x^{3} + 125 = 0; (2) 3(x −1)^{3}+ 81 = 0.","result_json":"{\"basis\": \"(1) 8x³ + 125 = 0 → 8x³ = -125 → x³ = -125/8 → x = -5/2.\\n(2) 3(x−1)³ + 81 = 0 → 3(x−1)³ = -81 → (x−1)³ = -27 → x−1 = -3 → x = 4.\", \"answer\": \"(1) x = -5/2; (2) x = 4\", \"confidence\": 1.0, \"handout_chars\": 0}","created_at":"2026-09-24T22:36:11"},{"id":415049,"import_question_id":21085,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:(1)x = − 5 || 盲解:(1) x = -5/2; (2) x = 4","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-09-24T22:36:11"},{"id":415050,"import_question_id":21085,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:(1)x = − 5 || 盲解:(1) x = -5/2; (2) x = 4","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":"2026-09-24T22:36:11"}]}