{"ok":true,"question":{"id":181761,"question_uuid":"7e4cf463-2a87-4f26-bea9-7bde532f6f57","job_id":9,"source_file":"沪教版/八下/周琼玟Q_18978751881_920.pdf","source_page_start":1,"source_page_end":1,"source_bbox":"[52.6, 544.89, 523.24, 578.71]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"fill_blank","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"若个数\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"nxx_{1}_{2}\"}, {\"text\": \",,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"x_{n}\"}, {\"text\": \"的权分别是\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"ww_{1}_{2}\"}, {\"text\": \",,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"w_{n}\"}, {\"text\": \",则 13.算术平均数=_____________________ __________ 就叫做这个数的加权平均数n\", \"type\": \"text\"}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"x =\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{x_{1}w_{1} + x_{2}w_{2} + \\\\cdots + x_{n}w_{n}}{w_{1} + w_{2} + \\\\cdots + w_{n}}\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"根据加权平均数的定义，当 n 个数 x₁, x₂, …, xₙ 的权分别为 w₁, w₂, …, wₙ 时，加权平均数等于各数据与其对应权值乘积之和除以权值之和。\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [52.6, 544.89, 523.24, 578.71], \"file\": \"沪教版/八下/周琼玟Q_18978751881_920.pdf\", \"regions\": [{\"bbox\": [52.6, 544.89, 523.24, 578.71], \"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\": \"13\", \"subject_code\": \"math\", \"question_type\": \"fill_blank\", \"content_sha256\": \"391a0f1a92429ae1c34ffa1f79aee0d64aeb15d91a94d4ab6f805620ccaf643d\"}","body_html":"<div>若个数\\(nxx_{1}_{2}\\),,\\(x_{n}\\)的权分别是\\(ww_{1}_{2}\\),,\\(w_{n}\\),则 13.算术平均数=_____________________ __________ 就叫做这个数的加权平均数n</div>","answer_html":"x =\\(\\frac{x_{1}w_{1} + x_{2}w_{2} + \\cdots + x_{n}w_{n}}{w_{1} + w_{2} + \\cdots + w_{n}}\\)","ways_html":"根据加权平均数的定义，当 n 个数 x₁, x₂, …, xₙ 的权分别为 w₁, w₂, …, wₙ 时，加权平均数等于各数据与其对应权值乘积之和除以权值之和。","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.9,"error_message":"QA failed: VISION,ANSWER","published_question_id":null,"content_sha256":"391a0f1a92429ae1c34ffa1f79aee0d64aeb15d91a94d4ab6f805620ccaf643d","created_at":"2026-11-10T09:22:35","updated_at":"2026-11-10T09:42:38","answer_missing":false,"formula_fallback":false,"_number":"13","_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":9412886,"import_question_id":181761,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"若个数 nxx_{1}_{2} ,, x_{n} 的权分别是 ww_{1}_{2} ,, w_{n} ,则 13.算术平均数=_____________________ __________ 就叫做这个数的加权平均数n","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-11-10T09:36:00"},{"id":9412887,"import_question_id":181761,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"nxx_{1}_{2}; 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