{"ok":true,"question":{"id":181731,"question_uuid":"72df85d4-640d-49f4-8a41-11827ad514fa","job_id":9,"source_file":"沪教版/八下/周琼玟Q_18978751881_915_检测.pdf","source_page_start":3,"source_page_end":3,"source_bbox":"[30.22, 419.72, 562.21, 472.87]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"subjective","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"某学校欲招聘一名数学教师.对甲、乙两位应试者进行了面试和笔试,他们的成绩(百分制)如下表所示 :\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{(1)}{(2)}\"}, {\"text\": \"如果学校认为面试和笔试成绩同等重要, 从他们的成绩看, 谁将被录取? 如果学校认为,作为数学教师面试成绩应该比笔试成绩更重要,并分 别赋予它们7和3的权, 计算甲、乙两人各自的平均成绩, 谁将被录取？\", \"type\": \"text\"}, {\"kind\": \"embedded_image\", \"type\": \"figure\", \"width\": 520, \"height\": 396, \"sha256\": \"f46aa732f33d2830fd4fa9f467a2ba5858a7e7d2458dc4b464ba115dc55a14f5\", \"caption\": \"\", \"asset_key\": \"math/2026/11/fa6762c7-a95b-46b0-8a9d-477bfc6d7525/72df85d4-640d-49f4-8a41-11827ad514fa/f46aa732f33d.png\", \"public_url\": \"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/11/fa6762c7-a95b-46b0-8a9d-477bfc6d7525/72df85d4-640d-49f4-8a41-11827ad514fa/f46aa732f33d.png\", \"source_bbox\": [30.21787452697754, 473.0365905761719, 126.67874908447266, 555.7173461914062], \"source_page\": 3}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"见解析\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"(1)学校认为面试和笔试成绩同等重要， ∴ 甲成绩的平均数为\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{86 + 90}{2} = 88\"}, {\"text\": \"，乙 成绩的平均数为\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{92 + 83}{2} = 87.5\"}, {\"text\": \"， ∵ 88 > 87.5∴ 甲将被录取; (2)∵ 面试成绩和笔试成绩分别赋予7和3的权 ∴ 甲成绩的平均数为\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"86 \\\\times \\\\frac{7}{10} + 90 \\\\times \\\\frac{3}{10} = 87.2\"}, {\"text\": \"乙成绩的平均数为\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"92 \\\\times \\\\frac{7}{10} + 83 \\\\times \\\\frac{3}{10} = 89.3\"}, {\"text\": \"， ∵ 87.2 < 89.3.则乙将被录取．\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{15. (1)}{(2)}\"}, {\"text\": \"甲、乙两名同学的排名顺序为乙第一，甲第二； 甲、乙两名同学的排名顺序为甲第一，乙第二． (1)根据算术平均数的计算方法计算可得：甲：\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{90 + 85 + 80}{3} = 85\"}, {\"text\": \"，乙 ：\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{84 + 83 + 91}{3} = 86．\"}, {\"text\": \"∵ 86 > 85， ∴ 乙高于甲，答：甲、乙两名同学的排 名顺序为乙第一，甲第二； (2)利用加权平均数的计算方法分别计算甲、乙的总评成绩为：甲 ：\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{90 \\\\times 2 + 85 \\\\times 2 + 80 \\\\times 1}{2 + 2 + 1} = 86\"}, {\"text\": \"，乙：\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{84 \\\\times 2 + 83 \\\\times 2 + 91 \\\\times 1}{2 + 2 + 1} = 85．\"}, {\"text\": \"∵ 86 > 85，所以 甲高于乙. 答：甲、乙两名同学的排名顺序为甲第一，乙第二．\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.22, 419.72, 562.21, 472.87], \"file\": \"沪教版/八下/周琼玟Q_18978751881_915_检测.pdf\", \"regions\": [{\"bbox\": [30.22, 419.72, 562.21, 472.87], \"page\": 3}], \"section\": \"generic\", \"page_end\": 3, \"page_start\": 3, \"section_label\": \"\", \"answer_regions\": [{\"bbox\": [20.863658905029297, 648.3639526367188, 520.8656616210938, 788.0489501953125], \"page\": 5}, {\"bbox\": [43.99800109863281, 102.4390869140625, 498.7379760742187, 219.7198944091797], \"page\": 6}]}, \"version\": 1, \"grade_level\": \"JUNIOR\", \"number_label\": \"14\", \"subject_code\": \"math\", \"question_type\": \"subjective\", \"content_sha256\": \"1843b0380878e6a90a3090370071352b7f7a3ee4dd76d7c2b123ddbc13dcbff5\"}","body_html":"<div>某学校欲招聘一名数学教师.对甲、乙两位应试者进行了面试和笔试,他们的成绩(百分制)如下表所示 :\\(\\frac{(1)}{(2)}\\)如果学校认为面试和笔试成绩同等重要, 从他们的成绩看, 谁将被录取? 如果学校认为,作为数学教师面试成绩应该比笔试成绩更重要,并分 别赋予它们7和3的权, 计算甲、乙两人各自的平均成绩, 谁将被录取？<img class=\"question-figure\" src=\"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/11/fa6762c7-a95b-46b0-8a9d-477bfc6d7525/72df85d4-640d-49f4-8a41-11827ad514fa/f46aa732f33d.png\" style=\"width:128.6px!important;max-width:100%;height:auto\" alt=\"\" title=\"点击查看原图\"></div>","answer_html":"见解析","ways_html":"(1)学校认为面试和笔试成绩同等重要， ∴ 甲成绩的平均数为\\(\\frac{86 + 90}{2} = 88\\)，乙 成绩的平均数为\\(\\frac{92 + 83}{2} = 87.5\\)， ∵ 88 &gt; 87.5∴ 甲将被录取; (2)∵ 面试成绩和笔试成绩分别赋予7和3的权 ∴ 甲成绩的平均数为\\(86 \\times \\frac{7}{10} + 90 \\times \\frac{3}{10} = 87.2\\)乙成绩的平均数为\\(92 \\times \\frac{7}{10} + 83 \\times \\frac{3}{10} = 89.3\\)， ∵ 87.2 &lt; 89.3.则乙将被录取．\\(\\frac{15. (1)}{(2)}\\)甲、乙两名同学的排名顺序为乙第一，甲第二； 甲、乙两名同学的排名顺序为甲第一，乙第二． (1)根据算术平均数的计算方法计算可得：甲：\\(\\frac{90 + 85 + 80}{3} = 85\\)，乙 ：\\(\\frac{84 + 83 + 91}{3} = 86．\\)∵ 86 &gt; 85， ∴ 乙高于甲，答：甲、乙两名同学的排 名顺序为乙第一，甲第二； (2)利用加权平均数的计算方法分别计算甲、乙的总评成绩为：甲 ：\\(\\frac{90 \\times 2 + 85 \\times 2 + 80 \\times 1}{2 + 2 + 1} = 86\\)，乙：\\(\\frac{84 \\times 2 + 83 \\times 2 + 91 \\times 1}{2 + 2 + 1} = 85．\\)∵ 86 &gt; 85，所以 甲高于乙. 答：甲、乙两名同学的排名顺序为甲第一，乙第二．","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=8092): Read timed out. (read timeout=120) [endpoints: http://127.0.0.1:8091/v1 -> http://127.0.0.1:8092/v1]","published_question_id":null,"content_sha256":"1843b0380878e6a90a3090370071352b7f7a3ee4dd76d7c2b123ddbc13dcbff5","created_at":"2026-11-10T08:51:00","updated_at":"2026-11-10T09:18:06","answer_missing":false,"formula_fallback":false,"_number":"14","_section":"generic","_section_label":""},"assets":[{"id":26791,"asset_uuid":"a9effb38cf614c119018e96ea90bf509","job_id":9,"import_question_id":181731,"asset_type":"embedded_image","source_file":"周琼玟Q_18978751881_915_检测.pdf","source_page":3,"source_bbox":"[30.22, 473.04, 126.68, 555.72]","sha256":"f46aa732f33d2830fd4fa9f467a2ba5858a7e7d2458dc4b464ba115dc55a14f5","local_path":"/www/wwwroot/tikupdfpng.mtwlkj.net_5129/qbank/math/2026/11/fa6762c7-a95b-46b0-8a9d-477bfc6d7525/72df85d4-640d-49f4-8a41-11827ad514fa/f46aa732f33d.png","asset_key":"math/2026/11/fa6762c7-a95b-46b0-8a9d-477bfc6d7525/72df85d4-640d-49f4-8a41-11827ad514fa/f46aa732f33d.png","public_url":"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/11/fa6762c7-a95b-46b0-8a9d-477bfc6d7525/72df85d4-640d-49f4-8a41-11827ad514fa/f46aa732f33d.png","width":520,"height":396,"qa_status":"PENDING","created_at":"2026-11-10T09:08:07","safe_public_url":"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/11/fa6762c7-a95b-46b0-8a9d-477bfc6d7525/72df85d4-640d-49f4-8a41-11827ad514fa/f46aa732f33d.png"}],"knowledge":[],"audits":[{"id":9409922,"import_question_id":181731,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"某学校欲招聘一名数学教师.对甲、乙两位应试者进行了面试和笔试,他们的成绩(百分制)如下表所示 : \\frac{(1)}{(2)} 如果学校认为面试和笔试成绩同等重要, 从他们的成绩看, 谁将被录取? 如果学校认为,作为数学教师面试成绩应该比笔试成绩更重要,并分 别赋予它们7和3的权, 计算甲、乙两人各自的平均成绩, 谁将被录取？ [图]","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-11-10T09:14:06"},{"id":9409923,"import_question_id":181731,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\frac{(1)}{(2)}; \\frac{86 + 90}{2} = 88; \\frac{92 + 83}{2} = 87.5; 86 \\times \\frac{7}{10} + 90 \\times \\frac{3}{10} = 87.2; 92 \\times \\frac{7}{10} + 83 \\times \\frac{3}{10} = 89.3","result_json":"{\"risky\": 10, \"issues\": [], \"checked\": 10, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-11-10T09:14:06"},{"id":9409924,"import_question_id":181731,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"某学校欲招聘一名数学教师.对甲、乙两位应试者进行了面试和笔试,他们的成绩(百分制)如下表所示 : \\frac{(1)}{(2)} 如果学校认为面试和笔试成绩同等重要, 从他们的成绩看, 谁将被录取? 如果学校认为,作为数学教师面试成绩应该比笔试成绩更重要,并分 别赋予它们7和3的权, 计算甲、乙两人各自的平均成绩, 谁将被录取？ [图]","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-11-10T09:14:06"},{"id":9409951,"import_question_id":181731,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.95,"input_snapshot":"题干：\n某学校欲招聘一名数学教师.对甲、乙两位应试者进行了面试和笔试,他们的成绩(百分制)如下表所示 :\\(\\frac{(1)}{(2)}\\)如果学校认为面试和笔试成绩同等重要, 从他们的成绩看, 谁将被录取? 如果学校认为,作为数学教师面试成绩应该比笔试成绩更重要,并分 别赋予它们7和3的权, 计算甲、乙两人各自的平均成绩, 谁将被录取？\n答案：\n见解析\n解析：\n(1)学校认为面试和笔试成绩同等重要， ∴ 甲成绩的平均数为\\(\\frac{86 + 90}{2} = 88\\)，乙 成绩的平均数为\\(\\frac{92 + 83}{2} = 87.5\\)， ∵ 88 &gt; 87.5∴ 甲将被录取; (2)∵ 面试成绩和笔试成绩分别赋予7和3的权 ∴ 甲成绩的平均数为\\(86 \\times \\frac{7}{10} + 90 \\times \\frac{3}{10} = 87.2\\)乙成绩的平均数为\\(92 \\times \\frac{7}{10} + 83 \\times \\frac{3}{10} = 89.3\\)， ∵ 87.2 &lt; 89.3.则乙将被录取．\\(\\frac{15. (1)}{(2)}\\)甲、乙两名同学的排名顺序为乙第一，甲第二； 甲、乙两名同学的排名顺序为甲第一，乙第二． (1)根据算术平均数的计算方法计算可得：甲：\\(\\frac{90 + 85 + 80}{3} = 85\\)，乙 ：\\(\\frac{84 + 83 + 91}{3} = 86．\\)∵ 86 &gt; 85， ∴ 乙高于甲，答：甲、乙两名同学的排 名顺序为乙第一，甲第二； (2)利用加权平均数的计算方法分别计算甲、乙的总评成绩为：甲 ：\\(\\frac{90 \\times 2 + 85 \\times 2 + 80 \\times 1}{2 + 2 + 1} = 86\\)，乙：\\(\\frac{84 \\times 2 + 83 \\times 2 + 91 \\times 1}{2 + 2 + 1} = 85．\\)∵ 86 &gt; 85，所以 甲高于乙. 答：甲、乙两名同学的排名顺序为甲第一，乙第二．","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"题干中‘分 别赋予它们7和3的权’表述略显模糊，建议明确为‘分别赋予面试和笔试7和3的权重’，以避免歧义。\"]}","created_at":"2026-11-10T09:15:54"}]}