{"ok":true,"question":{"id":181663,"question_uuid":"ed9b6b54-e682-45e1-a0ae-c75e2155600d","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":"[52.6, 718.04, 512.39, 751.86]","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 对于个数\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"nxx_{1}_{2}\"}, {\"text\": \",,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"xx_{n}\"}, {\"text\": \", = __________ __________ 就叫做这个数的加权平均数n\", \"type\": \"text\"}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"\\\\bar{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\": \"加权平均数的定义：将每个数据乘以其对应的权，求和后除以权的总和。公式为 \\\\bar{x} =\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{\\\\sum_{i=1}^n x_{i} w_{i}}{\\\\sum_{i=1}^n w_{i}}\"}, {\"text\": \"。\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [52.6, 718.04, 512.39, 751.86], \"file\": \"沪教版/八下/周琼玟Q_18978751881_910.pdf\", \"regions\": [{\"bbox\": [52.6, 718.04, 512.39, 751.86], \"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\": \"17\", \"subject_code\": \"math\", \"question_type\": \"fill_blank\", \"content_sha256\": \"e7ae47b0f203c7f6172156fe8effe6cd1ae4a160c3e5f20cc4e4311468b81815\"}","body_html":"<div>若个数\\(nxx_{1}_{2}\\),,\\(x_{n}\\)的权分别是\\(ww_{1}_{2}\\),,\\(w_{n}\\),则 对于个数\\(nxx_{1}_{2}\\),,\\(xx_{n}\\), = __________ __________ 就叫做这个数的加权平均数n</div>","answer_html":"\\bar{x} =\\(\\frac{x_{1} w_{1} + x_{2} w_{2} + \\cdots + x_{n} w_{n}}{w_{1} + w_{2} + \\cdots + w_{n}}\\)","ways_html":"加权平均数的定义：将每个数据乘以其对应的权，求和后除以权的总和。公式为 \\bar{x} =\\(\\frac{\\sum_{i=1}^n x_{i} w_{i}}{\\sum_{i=1}^n w_{i}}\\)。","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.775,"error_message":"QA failed: VISION","published_question_id":null,"content_sha256":"e7ae47b0f203c7f6172156fe8effe6cd1ae4a160c3e5f20cc4e4311468b81815","created_at":"2026-11-10T08:09:42","updated_at":"2026-11-10T08:27:02","answer_missing":false,"formula_fallback":false,"_number":"17","_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":9400874,"import_question_id":181663,"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 对于个数 nxx_{1}_{2} ,, xx_{n} , = __________ __________ 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":"2026-11-10T08:23:15"},{"id":9400875,"import_question_id":181663,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"nxx_{1}_{2}; x_{n}; ww_{1}_{2}; w_{n}; nxx_{1}_{2}","result_json":"{\"risky\": 6, \"issues\": [], \"checked\": 6, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-11-10T08:23:15"},{"id":9400876,"import_question_id":181663,"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 对于个数 nxx_{1}_{2} ,, xx_{n} , = __________ __________ 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":"2026-11-10T08:23:15"},{"id":9400898,"import_question_id":181663,"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 对于个数 nxx_{1}_{2} ,, xx_{n} , = __________ __________ 就叫做这个数的加权平均数n","result_json":"{\"basis\": \"加权平均数的定义：将每个数据乘以其对应的权，求和后除以权的总和。公式为 \\\\bar{x} = \\\\frac{\\\\sum_{i=1}^n x_i w_i}{\\\\sum_{i=1}^n w_i}。\", \"answer\": \"\\\\bar{x} = \\\\frac{x_1 w_1 + x_2 w_2 + \\\\cdots + x_n w_n}{w_1 + w_2 + \\\\cdots + w_n}\", \"confidence\": 1.0, \"handout_chars\": 313}","created_at":"2026-11-10T08:25:05"},{"id":9400899,"import_question_id":181663,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":1.0,"input_snapshot":"来源答案: || 盲解:\\bar{x} = \\frac{x_1 w_1 + x_2 w_2 + \\cdots + x_n w_n}{w_1 + w_2 + \\cdots + w_n}","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 1.0}","created_at":"2026-11-10T08:25:05"},{"id":9400933,"import_question_id":181663,"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 对于个数\\(nxx_{1}_{2}\\),,\\(xx_{n}\\), = __________ __________ 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\": \"invalid_json_root\", \"unavailable\": true}","created_at":"2026-11-10T08:26:31"},{"id":9400934,"import_question_id":181663,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.55,"input_snapshot":"答案:\\bar{x} =\\(\\frac{x_{1} w_{1} + x_{2} w_{2} + \\cdots + x_{n} w_{n}}{w_{1} + w_{2} + \\cdots + w_{n}}\\) || 盲解:\\bar{x} = \\frac{x_1 w_1 + x_2 w_2 + \\cdots + x_n w_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":"2026-11-10T08:26:31"},{"id":9400941,"import_question_id":181663,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:\\bar{x} =\\(\\frac{x_{1} w_{1} + x_{2} w_{2} + \\cdots + x_{n} w_{n}}{w_{1} + w_{2} + \\cdots + w_{n}}\\) || 解析:加权平均数的定义：将每个数据乘以其对应的权，求和后除以权的总和。公式为 \\bar{x} =\\(\\frac{\\sum_{i=1}^n x_{i} w_{i}}{\\sum_{i=1}^n w_{i}}\\)。","result_json":"{\"ok\": true, \"which\": [], \"issues\": [], \"confidence\": 1.0, \"equation_checks\": []}","created_at":"2026-11-10T08:27:02"},{"id":9400942,"import_question_id":181663,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.775,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"VISION\"]}","created_at":"2026-11-10T08:27:02"}]}