{"ok":true,"question":{"id":182080,"question_uuid":"2b88cf0e-bf37-4fa5-af19-f35038eb9d6b","job_id":9,"source_file":"沪教版/八下/周琼玟Q_18978751881_935_检测.pdf","source_page_start":3,"source_page_end":3,"source_bbox":"[30.22, 576.4, 362.26, 616.79]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"subjective","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"某校八年级(1)班20名学生某次数学测验的成绩统计如表：\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{(1)}{(2)}\"}, {\"text\": \"若这20名学生成绩的平均数为82分，求x和y的值． 在(1)的条件下，求这20名学生本次测验成绩的众数和中位数．\", \"type\": \"text\"}, {\"kind\": \"embedded_image\", \"type\": \"figure\", \"width\": 520, \"height\": 209, \"sha256\": \"bb05d38112cea54f16195054e4a09d45f26e4e539d92714c6be085b29dcdaf6d\", \"caption\": \"\", \"asset_key\": \"math/2026/11/fa6762c7-a95b-46b0-8a9d-477bfc6d7525/2b88cf0e-bf37-4fa5-af19-f35038eb9d6b/bb05d38112ce.png\", \"public_url\": \"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/11/fa6762c7-a95b-46b0-8a9d-477bfc6d7525/2b88cf0e-bf37-4fa5-af19-f35038eb9d6b/bb05d38112ce.png\", \"source_bbox\": [30.21787452697754, 617.4727172851562, 126.67874908447266, 654.7301025390625], \"source_page\": 3}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"(1)5；7；(2)90; 80\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"由题意得：{x + y = 20 −1 −5 −260 +\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"70 \\\\times 5 + 80x + 90y + 100 \\\\times 2 = 82 \\\\times 20\"}, {\"text\": \"解得：{ x = 5y = 7∴x的值为5，y的值为7；\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{(1)}{(2)}\"}, {\"text\": \"由(1)得，90分的人数最多，故众数为90分，中位数为从低到高第10和 第11位同学成绩的平均值为80分，∴众数为90，中位数为80．\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.22, 576.4, 362.26, 616.79], \"file\": \"沪教版/八下/周琼玟Q_18978751881_935_检测.pdf\", \"regions\": [{\"bbox\": [30.22, 576.4, 362.26, 616.79], \"page\": 3}], \"section\": \"generic\", \"page_end\": 3, \"page_start\": 3, \"section_label\": \"\", \"answer_regions\": [{\"bbox\": [43.99800109863281, 725.9413452148438, 562.0305786132812, 796.9540405273438], \"page\": 6}]}, \"version\": 1, \"grade_level\": \"JUNIOR\", \"number_label\": \"11\", \"subject_code\": \"math\", \"question_type\": \"subjective\", \"content_sha256\": \"0267cc916eed889f6c94842cc33d5080acd7ee57b27eb1c764da1c21019d7e12\"}","body_html":"<div>某校八年级(1)班20名学生某次数学测验的成绩统计如表：\\(\\frac{(1)}{(2)}\\)若这20名学生成绩的平均数为82分，求x和y的值． 在(1)的条件下，求这20名学生本次测验成绩的众数和中位数．<img class=\"question-figure\" src=\"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/11/fa6762c7-a95b-46b0-8a9d-477bfc6d7525/2b88cf0e-bf37-4fa5-af19-f35038eb9d6b/bb05d38112ce.png\" style=\"width:128.6px!important;max-width:100%;height:auto\" alt=\"\" title=\"点击查看原图\"></div>","answer_html":"(1)5；7；(2)90; 80","ways_html":"由题意得：{x + y = 20 −1 −5 −260 +\\(70 \\times 5 + 80x + 90y + 100 \\times 2 = 82 \\times 20\\)解得：{ x = 5y = 7∴x的值为5，y的值为7；\\(\\frac{(1)}{(2)}\\)由(1)得，90分的人数最多，故众数为90分，中位数为从低到高第10和 第11位同学成绩的平均值为80分，∴众数为90，中位数为80．","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":"0267cc916eed889f6c94842cc33d5080acd7ee57b27eb1c764da1c21019d7e12","created_at":"2026-11-10T11:39:25","updated_at":"2026-11-10T12:04:00","answer_missing":false,"formula_fallback":false,"_number":"11","_section":"generic","_section_label":""},"assets":[{"id":26835,"asset_uuid":"f4828b25615141558833271354595dbc","job_id":9,"import_question_id":182080,"asset_type":"embedded_image","source_file":"周琼玟Q_18978751881_935_检测.pdf","source_page":3,"source_bbox":"[30.22, 617.47, 126.68, 654.73]","sha256":"bb05d38112cea54f16195054e4a09d45f26e4e539d92714c6be085b29dcdaf6d","local_path":"/www/wwwroot/tikupdfpng.mtwlkj.net_5129/qbank/math/2026/11/fa6762c7-a95b-46b0-8a9d-477bfc6d7525/2b88cf0e-bf37-4fa5-af19-f35038eb9d6b/bb05d38112ce.png","asset_key":"math/2026/11/fa6762c7-a95b-46b0-8a9d-477bfc6d7525/2b88cf0e-bf37-4fa5-af19-f35038eb9d6b/bb05d38112ce.png","public_url":"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/11/fa6762c7-a95b-46b0-8a9d-477bfc6d7525/2b88cf0e-bf37-4fa5-af19-f35038eb9d6b/bb05d38112ce.png","width":520,"height":209,"qa_status":"PENDING","created_at":"2026-11-10T11:54:23","safe_public_url":"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/11/fa6762c7-a95b-46b0-8a9d-477bfc6d7525/2b88cf0e-bf37-4fa5-af19-f35038eb9d6b/bb05d38112ce.png"}],"knowledge":[],"audits":[{"id":9443502,"import_question_id":182080,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"某校八年级(1)班20名学生某次数学测验的成绩统计如表： \\frac{(1)}{(2)} 若这20名学生成绩的平均数为82分，求x和y的值． 在(1)的条件下，求这20名学生本次测验成绩的众数和中位数． [图]","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-11-10T12:00:00"},{"id":9443503,"import_question_id":182080,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\frac{(1)}{(2)}; 70 \\times 5 + 80x + 90y + 100 \\times 2 = 82 \\times 20; \\frac{(1)}{(2)}","result_json":"{\"risky\": 3, \"issues\": [], \"checked\": 3, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-11-10T12:00:00"},{"id":9443504,"import_question_id":182080,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"某校八年级(1)班20名学生某次数学测验的成绩统计如表： \\frac{(1)}{(2)} 若这20名学生成绩的平均数为82分，求x和y的值． 在(1)的条件下，求这20名学生本次测验成绩的众数和中位数． [图]","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-11-10T12:00:00"},{"id":9443519,"import_question_id":182080,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.95,"input_snapshot":"题干：\n某校八年级(1)班20名学生某次数学测验的成绩统计如表：\\(\\frac{(1)}{(2)}\\)若这20名学生成绩的平均数为82分，求x和y的值． 在(1)的条件下，求这20名学生本次测验成绩的众数和中位数．\n答案：\n(1)5；7；(2)90; 80\n解析：\n由题意得：{x + y = 20 −1 −5 −260 +\\(70 \\times 5 + 80x + 90y + 100 \\times 2 = 82 \\times 20\\)解得：{ x = 5y = 7∴x的值为5，y的值为7；\\(\\frac{(1)}{(2)}\\)由(1)得，90分的人数最多，故众数为90分，中位数为从低到高第10和 第11位同学成绩的平均值为80分，∴众数为90，中位数为80．","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"解析中‘中位数为从低到高第10和第11位同学成绩的平均值为80分’表述略显口语化，可优化为‘中位数为第10名与第11名学生成绩的平均值，即(70+90)/2=80分’以增强清晰度\"]}","created_at":"2026-11-10T12:00:59"}]}