{"ok":true,"question":{"id":181657,"question_uuid":"777866cf-30ab-471f-bf81-41efd39de76c","job_id":9,"source_file":"沪教版/八下/周琼玟Q_18978751881_910.pdf","source_page_start":1,"source_page_end":1,"source_bbox":"[30.0, 503.53, 512.39, 524.03]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"fill_blank","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"加权平均数的使用条件：_________________ 12. 对于个数\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"nxx_{1}_{2}\"}, {\"text\": \",,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"xx_{n}\"}, {\"text\": \", = __________\", \"type\": \"text\"}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"02. 各个数据的重要程度不同；\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"12. \\\\frac{1}{n}(x_{1}+x_{2}+\\\\cdots+x_{n})\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"依据《核心知识点》：加权平均数用于数据重要程度不同的情况；算术平均数定义为数据总和除以数据个数，即\\\\bar{x}=\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{n}\\\\sum_{i=1}^nx_{i}\"}, {\"text\": \"。\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.0, 503.53, 512.39, 524.03], \"file\": \"沪教版/八下/周琼玟Q_18978751881_910.pdf\", \"regions\": [{\"bbox\": [30.0, 503.53, 512.39, 524.03], \"page\": 1}], \"section\": \"memory\", \"page_end\": 1, \"page_start\": 1, \"section_label\": \"巩固记忆学习        请认真填写，不会的地方及时查看上方核心知识点！\", \"answer_regions\": [], \"answer_original\": \"\", \"solution_original\": \"\"}, \"version\": 1, \"grade_level\": \"JUNIOR\", \"number_label\": \"2\", \"subject_code\": \"math\", \"question_type\": \"fill_blank\", \"content_sha256\": \"c04065efff3fa2defcf0bd94613625d0e96d3720200646a86fe95c9879c8e735\"}","body_html":"<div>加权平均数的使用条件：_________________ 12. 对于个数\\(nxx_{1}_{2}\\),,\\(xx_{n}\\), = __________</div>","answer_html":"02. 各个数据的重要程度不同；\\(12. \\frac{1}{n}(x_{1}+x_{2}+\\cdots+x_{n})\\)","ways_html":"依据《核心知识点》：加权平均数用于数据重要程度不同的情况；算术平均数定义为数据总和除以数据个数，即\\bar{x}=\\(\\frac{1}{n}\\sum_{i=1}^nx_{i}\\)。","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.925,"error_message":"QA failed: VISION","published_question_id":null,"content_sha256":"c04065efff3fa2defcf0bd94613625d0e96d3720200646a86fe95c9879c8e735","created_at":"2026-11-10T08:09:42","updated_at":"2026-11-10T08:24:33","answer_missing":false,"formula_fallback":false,"_number":"2","_section":"memory","_section_label":"巩固记忆学习        请认真填写，不会的地方及时查看上方核心知识点！"},"assets":[],"knowledge":[],"audits":[{"id":9397997,"import_question_id":181657,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"加权平均数的使用条件：_________________ 12. 对于个数 nxx_{1}_{2} ,, xx_{n} , = __________","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-11-10T08:14:55"},{"id":9397998,"import_question_id":181657,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"nxx_{1}_{2}; xx_{n}","result_json":"{\"risky\": 2, \"issues\": [], \"checked\": 2, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-11-10T08:14:55"},{"id":9397999,"import_question_id":181657,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"加权平均数的使用条件：_________________ 12. 对于个数 nxx_{1}_{2} ,, xx_{n} , = __________","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-11-10T08:14:55"},{"id":9398036,"import_question_id":181657,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.9,"input_snapshot":"题干：\n加权平均数的使用条件：_________________ 12. 对于个数\\(nxx_{1}_{2}\\),,\\(xx_{n}\\), = __________\n答案：\n\n解析：\n","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.9, \"suggestions\": [\"题干中的数学符号排版略显混乱，建议优化为更清晰的格式，例如：对于 n 个数 x₁, x₂, …, xₙ，平均数 x̄ = ______\"]}","created_at":"2026-11-10T08:16:33"},{"id":9398082,"import_question_id":181657,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"加权平均数的使用条件：_________________ 12. 对于个数 nxx_{1}_{2} ,, xx_{n} , = __________","result_json":"{\"basis\": \"依据《核心知识点》：加权平均数用于数据重要程度不同的情况；算术平均数定义为数据总和除以数据个数，即\\\\bar{x}=\\\\frac{1}{n}\\\\sum_{i=1}^n x_i。\", \"answer\": \"02. 各个数据的重要程度不同；12. \\\\frac{1}{n}(x_1+x_2+\\\\cdots+x_n)\", \"confidence\": 1.0, \"handout_chars\": 313}","created_at":"2026-11-10T08:18:29"},{"id":9398083,"import_question_id":181657,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案: || 盲解:02. 各个数据的重要程度不同；12. \\frac{1}{n}(x_1+x_2+\\cdots+x_n)","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-11-10T08:18:29"},{"id":9398084,"import_question_id":181657,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:02. 各个数据的重要程度不同；\\(12. \\frac{1}{n}(x_{1}+x_{2}+\\cdots+x_{n})\\) || 盲解:02. 各个数据的重要程度不同；12. \\frac{1}{n}(x_1+x_2+\\cdots+x_n)","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":"2026-11-10T08:18:29"},{"id":9398091,"import_question_id":181657,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"PASS","score":0.9,"input_snapshot":"答案:02. 各个数据的重要程度不同；\\(12. \\frac{1}{n}(x_{1}+x_{2}+\\cdots+x_{n})\\) || 解析:依据《核心知识点》：加权平均数用于数据重要程度不同的情况；算术平均数定义为数据总和除以数据个数，即\\bar{x}=\\(\\frac{1}{n}\\sum_{i=1}^nx_{i}\\)。","result_json":"{\"ok\": true, \"which\": [], \"issues\": [], \"confidence\": 0.9, \"equation_checks\": []}","created_at":"2026-11-10T08:18:56"},{"id":9398092,"import_question_id":181657,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"PASS","score":0.925,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": []}","created_at":"2026-11-10T08:18:56"},{"id":9400806,"import_question_id":181657,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"input_snapshot":"加权平均数的使用条件：_________________ 12. 对于个数 nxx_{1}_{2} ,, xx_{n} , = __________","result_json":"{\"basis\": \"02. 根据《核心知识点》原文：‘加权平均数的使用条件：各个数据的重要程度不同’。12. 根据《核心知识点》原文：‘对于n个数x₁,x₂,…,xₙ, \\\\bar{x} = \\\\frac{1}{n}(x₁+x₂+⋯+xₙ)'，这是算术平均数的定义式。\", \"answer\": \"02. 各个数据的重要程度不同；12. \\\\frac{1}{n}(x_{1}+x_{2}+\\\\cdots+x_{n})\", \"confidence\": 1.0, \"handout_chars\": 313}","created_at":"2026-11-10T08:20:27"},{"id":9400807,"import_question_id":181657,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案:02. 各个数据的重要程度不同；\\(12. \\frac{1}{n}(x_{1}+x_{2}+\\cdots+x_{n})\\) || 盲解:02. 各个数据的重要程度不同；12. \\frac{1}{n}(x_{1}+x_{2}+\\cdots+x_{n})","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-11-10T08:20:27"},{"id":9400808,"import_question_id":181657,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"PASS","score":0.9,"input_snapshot":"答案:02. 各个数据的重要程度不同；\\(12. \\frac{1}{n}(x_{1}+x_{2}+\\cdots+x_{n})\\) || 解析:依据《核心知识点》：加权平均数用于数据重要程度不同的情况；算术平均数定义为数据总和除以数据个数，即\\bar{x}=\\(\\frac{1}{n}\\sum_{i=1}^nx_{i}\\)。","result_json":"{\"ok\": true, \"which\": [], \"issues\": [], \"confidence\": 0.9, \"equation_checks\": []}","created_at":"2026-11-10T08:20:44"},{"id":9400809,"import_question_id":181657,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:02. 各个数据的重要程度不同；\\(12. \\frac{1}{n}(x_{1}+x_{2}+\\cdots+x_{n})\\) || 盲解:02. 各个数据的重要程度不同；12. \\frac{1}{n}(x_{1}+x_{2}+\\cdots+x_{n})","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":"2026-11-10T08:20:44"},{"id":9400810,"import_question_id":181657,"audit_type":"AUTO_REPAIR_ATTEMPT","auditor_name":"answer-repair","status":"PASS","score":1.0,"input_snapshot":null,"result_json":"{\"critic\": true, \"symbolic\": true, \"coherence\": true, \"consensus\": \"two_solvers+symbolic_literal_warn+critic_and_coherence\", \"confidence\": 1.0, \"verifier_base\": \"http://127.0.0.1:8091/v1\", \"verifier_confidence\": 1.0, \"critic_explicit_pass\": true, \"symbolic_literal_warn\": true, \"symbolic_explicit_pass\": false, \"coherence_explicit_pass\": true}","created_at":"2026-11-10T08:20:44"},{"id":9400811,"import_question_id":181657,"audit_type":"AUTO_REPAIR","auditor_name":"answer-repair","status":"PASS","score":1.0,"input_snapshot":null,"result_json":"{\"basis\": \"依据《核心知识点》：加权平均数用于数据重要程度不同的情况；算术平均数定义为数据总和除以数据个数，即\\\\bar{x}=\\\\frac{1}{n}\\\\sum_{i=1}^n x_i。\", \"answer\": \"02. 各个数据的重要程度不同；12. \\\\frac{1}{n}(x_1+x_2+\\\\cdots+x_n)\", \"critic\": {\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}, \"reason\": \"当前题干与来源答案冲突，使用高置信盲解修复并通过二次校验\", \"symbolic\": {\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案存在字面差异，需 Critic 复核\"}, \"status\": \"WARN\", \"applicable\": true}, \"coherence\": {\"ok\": true, \"which\": [], \"issues\": [], \"confidence\": 0.9, \"equation_checks\": []}}","created_at":"2026-11-10T08:20:44"},{"id":9400893,"import_question_id":181657,"audit_type":"VISION","auditor_name":"vision-auditor","status":"WARN","score":0.2,"input_snapshot":"当前答案解析经过独立复算修正了来源错误。题干、条件、选项和配图仍必须忠实原图；答案解析与来源不同时须独立验证修正是否成立，不能仅因不同就否决，也不能因已修正就通过。\n题干：\n加权平均数的使用条件：_________________ 12. 对于个数\\(nxx_{1}_{2}\\),,\\(xx_{n}\\), = __________\n答案：\n02. 各个数据的重要程度不同；\\(12. \\frac{1}{n}(x_{1}+x_{2}+\\cdots+x_{n})\\)\n解析：\n依据《核心知识点》：加权平均数用于数据重要程度不同的情况；算术平均数定义为数据总和除以数据个数，即\\bar{x}=\\(\\frac{1}{n}\\sum_{i=1}^nx_{i}\\)。","result_json":"{\"note\": \"视觉比对不可用\", \"error\": \"invalid_json_root\", \"unavailable\": true}","created_at":"2026-11-10T08:24:33"}]}