{"ok":true,"question":{"id":181568,"question_uuid":"6b6ac9eb-4958-49e9-926b-935f62ecdb7f","job_id":9,"source_file":"沪教版/八下/周琼玟Q_18978751881_905.pdf","source_page_start":1,"source_page_end":1,"source_bbox":"[52.6, 544.79, 523.24, 578.61]","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：若n个数x₁,x₂,…,xₙ的权分别是w₁,w₂,…,wₙ，则加权平均数x = (x₁w₁ + x₂w₂ + … + xₙwₙ) / (w₁ + w₂ + … + wₙ)。\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [52.6, 544.79, 523.24, 578.61], \"file\": \"沪教版/八下/周琼玟Q_18978751881_905.pdf\", \"regions\": [{\"bbox\": [52.6, 544.79, 523.24, 578.61], \"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：若n个数x₁,x₂,…,xₙ的权分别是w₁,w₂,…,wₙ，则加权平均数x = (x₁w₁ + x₂w₂ + … + xₙwₙ) / (w₁ + w₂ + … + wₙ)。","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.75,"error_message":"QA failed: VISION","published_question_id":null,"content_sha256":"391a0f1a92429ae1c34ffa1f79aee0d64aeb15d91a94d4ab6f805620ccaf643d","created_at":"2026-11-10T07:35:01","updated_at":"2026-11-10T07:51:38","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":9391839,"import_question_id":181568,"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":"2026-11-10T07:46:49"},{"id":9391840,"import_question_id":181568,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"nxx_{1}_{2}; x_{n}; ww_{1}_{2}; w_{n}","result_json":"{\"risky\": 4, \"issues\": [], \"checked\": 4, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-11-10T07:46:49"},{"id":9391841,"import_question_id":181568,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"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":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-11-10T07:46:49"},{"id":9391864,"import_question_id":181568,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":1.0,"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":"{\"basis\": \"根据加权平均数的定义：若n个数x₁,x₂,…,xₙ的权分别是w₁,w₂,…,wₙ，则加权平均数x = (x₁w₁ + x₂w₂ + … + xₙwₙ) / (w₁ + w₂ + … + wₙ)。\", \"answer\": \"x = \\\\frac{x_1w_1 + x_2w_2 + \\\\cdots + x_nw_n}{w_1 + w_2 + \\\\cdots + w_n}\", \"confidence\": 1.0, \"handout_chars\": 313}","created_at":"2026-11-10T07:48:02"},{"id":9391865,"import_question_id":181568,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案: || 盲解:x = \\frac{x_1w_1 + x_2w_2 + \\cdots + x_nw_n}{w_1 + w_2 + \\cdots + w_n}","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-11-10T07:48:02"},{"id":9394596,"import_question_id":181568,"audit_type":"VISION","auditor_name":"vision-auditor","status":"WARN","score":0.2,"input_snapshot":"题干：\n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\n答案：\n\n解析：\n","result_json":"{\"note\": \"视觉比对不可用\", \"error\": \"RuntimeError\", \"unavailable\": true}","created_at":"2026-11-10T07:50:50"},{"id":9394597,"import_question_id":181568,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:x =\\(\\frac{x_{1}w_{1} + x_{2}w_{2} + \\cdots + x_{n}w_{n}}{w_{1} + w_{2} + \\cdots + w_{n}}\\) || 盲解:x = \\frac{x_1w_1 + x_2w_2 + \\cdots + x_nw_n}{w_1 + w_2 + \\cdots + w_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":"2026-11-10T07:50:50"},{"id":9394620,"import_question_id":181568,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"PASS","score":0.9,"input_snapshot":"答案:x =\\(\\frac{x_{1}w_{1} + x_{2}w_{2} + \\cdots + x_{n}w_{n}}{w_{1} + w_{2} + \\cdots + w_{n}}\\) || 解析:根据加权平均数的定义：若n个数x₁,x₂,…,xₙ的权分别是w₁,w₂,…,wₙ，则加权平均数x = (x₁w₁ + x₂w₂ + … + xₙwₙ) / (w₁ + w₂ + … + wₙ)。","result_json":"{\"ok\": true, \"which\": [], \"issues\": [], \"confidence\": 0.9, \"equation_checks\": []}","created_at":"2026-11-10T07:51:38"},{"id":9394621,"import_question_id":181568,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.75,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"VISION\"]}","created_at":"2026-11-10T07:51:38"}]}