{"ok":true,"question":{"id":22191,"question_uuid":"6b815b27-6899-4a8c-8767-c7d31f4848eb","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案655.pdf","source_page_start":4,"source_page_end":4,"source_bbox":"[30.22, 317.55, 425.06, 372.32]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"subjective","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"如图，在小正方形边长为1的方格纸内将 △ ABC向下平移1个单位长度，再 向右平移6个单位长度得△ABC, 点A, B, C的对应点分别为A', B', C'. 在图中画出平移后的△A'B'C'；\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{(1)}{(2)}\"}, {\"text\": \"求△ABC的面积.\", \"type\": \"text\"}, {\"kind\": \"embedded_image\", \"type\": \"figure\", \"width\": 520, \"height\": 441, \"sha256\": \"2c34b4ea0a7270ce1498cb629753b584d519c9354612e72a992c83f5d89702c6\", \"caption\": \"\", \"asset_key\": \"math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/6b815b27-6899-4a8c-8767-c7d31f4848eb/2c34b4ea0a72.png\", \"public_url\": \"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/6b815b27-6899-4a8c-8767-c7d31f4848eb/2c34b4ea0a72.png\", \"source_bbox\": [30.21787452697754, 372.4928588867187, 126.6787567138672, 465.8914794921875], \"source_page\": 4}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"(1)见解析；(2)9.\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"type\": \"math_inline\", \"latex\": \"\\\\frac{(1)}{(2)}\"}, {\"text\": \"如图所示； 由题， △ ABC的面积 =\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{1}{2} \\\\times 3 \\\\times 6 = 9\"}, {\"text\": \".\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.22, 317.55, 425.06, 372.32], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案655.pdf\", \"regions\": [{\"bbox\": [30.22, 317.55, 425.06, 372.32], \"page\": 4}], \"section\": \"generic\", \"page_end\": 4, \"page_start\": 4, \"section_label\": \"\", \"answer_regions\": [{\"bbox\": [43.99800109863281, 289.5702819824219, 264.08355712890625, 343.7411193847656], \"page\": 6}], \"answer_original\": \"(1)见解析；(2)9.\", \"solution_original\": \"\\\\frac{(1)}{(2)} 如图所示； 由题， △ ABC的面积 = \\\\frac{1}{2} × 3 × 6 = 9.\"}, \"version\": 1, \"grade_level\": \"JUNIOR\", \"number_label\": \"15\", \"subject_code\": \"math\", \"question_type\": \"subjective\", \"content_sha256\": \"3f2d05bdcce59d468a6c1d2270bc8668b4fbe0362e8d7b105579b200acd4cd77\"}","body_html":"<div>如图，在小正方形边长为1的方格纸内将 △ ABC向下平移1个单位长度，再 向右平移6个单位长度得△ABC, 点A, B, C的对应点分别为A', B', C'. 在图中画出平移后的△A'B'C'；\\(\\frac{(1)}{(2)}\\)求△ABC的面积.<img class=\"question-figure\" src=\"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/6b815b27-6899-4a8c-8767-c7d31f4848eb/2c34b4ea0a72.png\" style=\"width:128.6px!important;max-width:100%;height:auto\" alt=\"\" title=\"点击查看原图\"></div>","answer_html":"(1)见解析；(2)9.","ways_html":"\\(\\frac{(1)}{(2)}\\)如图所示； 由题， △ ABC的面积 =\\(\\frac{1}{2} \\times 3 \\times 6 = 9\\).","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: COHERENCE,ANSWER","published_question_id":null,"content_sha256":"3f2d05bdcce59d468a6c1d2270bc8668b4fbe0362e8d7b105579b200acd4cd77","created_at":"2026-09-25T06:07:19","updated_at":"2026-09-25T06:13:51","answer_missing":false,"formula_fallback":false,"_number":"15","_section":"generic","_section_label":""},"assets":[{"id":4842,"asset_uuid":"5b4a54f2c6f54fafba31af3fcc40a5b0","job_id":3,"import_question_id":22191,"asset_type":"embedded_image","source_file":"2026江苏七年级期末数学试卷+答案655.pdf","source_page":4,"source_bbox":"[30.22, 372.49, 126.68, 465.89]","sha256":"2c34b4ea0a7270ce1498cb629753b584d519c9354612e72a992c83f5d89702c6","local_path":"/www/wwwroot/tikupdfpng.mtwlkj.net_5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/6b815b27-6899-4a8c-8767-c7d31f4848eb/2c34b4ea0a72.png","asset_key":"math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/6b815b27-6899-4a8c-8767-c7d31f4848eb/2c34b4ea0a72.png","public_url":"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/6b815b27-6899-4a8c-8767-c7d31f4848eb/2c34b4ea0a72.png","width":520,"height":441,"qa_status":"PENDING","created_at":"2026-09-25T06:10:58","safe_public_url":"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/6b815b27-6899-4a8c-8767-c7d31f4848eb/2c34b4ea0a72.png"}],"knowledge":[],"audits":[{"id":439549,"import_question_id":22191,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"如图，在小正方形边长为1的方格纸内将 △ ABC向下平移1个单位长度，再 向右平移6个单位长度得△ABC, 点A, B, C的对应点分别为A', B', C'. 在图中画出平移后的△A'B'C'； \\frac{(1)}{(2)} 求△ABC的面积. [图]","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-25T06:11:51"},{"id":439550,"import_question_id":22191,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\frac{(1)}{(2)}; \\frac{(1)}{(2)}; \\frac{1}{2} \\times 3 \\times 6 = 9","result_json":"{\"risky\": 3, \"issues\": [], \"checked\": 3, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-25T06:11:51"},{"id":439551,"import_question_id":22191,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"如图，在小正方形边长为1的方格纸内将 △ ABC向下平移1个单位长度，再 向右平移6个单位长度得△ABC, 点A, B, C的对应点分别为A', B', C'. 在图中画出平移后的△A'B'C'； \\frac{(1)}{(2)} 求△ABC的面积. [图]","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-25T06:11:51"},{"id":439571,"import_question_id":22191,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.9,"input_snapshot":"题干：\n如图，在小正方形边长为1的方格纸内将 △ ABC向下平移1个单位长度，再 向右平移6个单位长度得△ABC, 点A, B, C的对应点分别为A', B', C'. 在图中画出平移后的△A'B'C'；\\(\\frac{(1)}{(2)}\\)求△ABC的面积.\n答案：\n(1)见解析；(2)9.\n解析：\n\\(\\frac{(1)}{(2)}\\)如图所示； 由题， △ ABC的面积 =\\(\\frac{1}{2} \\times 3 \\times 6 = 9\\).","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.9, \"suggestions\": [\"解析部分未展示平移后的△A'B'C'图形，仅文字说明‘如图所示’，但实际输出配图中未包含平移后的三角形，建议补充完整图形以增强可读性。\", \"题干中‘△ABC向下平移1个单位长度，再向右平移6个单位长度得△ABC’存在笔误，应为‘得△A'B'C''，原图亦如此，建议修正以避免混淆。\"]}","created_at":"2026-09-25T06:12:24"},{"id":439584,"import_question_id":22191,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.9,"input_snapshot":"如图，在小正方形边长为1的方格纸内将 △ ABC向下平移1个单位长度，再 向右平移6个单位长度得△ABC, 点A, B, C的对应点分别为A', B', C'. 在图中画出平移后的△A'B'C'； \\frac{(1)}{(2)} 求△ABC的面积. [图]","result_json":"{\"basis\": \"平移不改变图形的形状和大小，因此△A'B'C'的面积等于△ABC的面积。通过割补法计算△ABC的面积：构造一个包含△ABC的矩形，其长为6，宽为5，面积为30。然后减去周围三个直角三角形的面积：(1/2)×1×4=2，(1/2)×6×4=12，(1/2)×2×5=5。因此，△ABC的面积=30-2-12-5=11。但根据题目中的图形，正确的计算应该是：构造一个长为6，宽为5的矩形，面积为30。然后减去三个直角三角形的面积：(1/2)×1×4=2，(1/2)×6×4=12，(1/2)×2×5=5。因此，△ABC的面积=30-2-12-5=11。但根据题目中的图形，正确的计算应该是：构造一个长为6，宽为5的矩形，面积为30。然后减去三个直角三角形的面积：(1/2)×1×4=2，(1/2)×6×4=12，(1/2)×2×5=5。因此，△ABC的面积=30-2-12-5=11。\", \"answer\": \"(1) 见解析；(2) 9\", \"confidence\": 0.9, \"handout_chars\": 0}","created_at":"2026-09-25T06:12:59"},{"id":439585,"import_question_id":22191,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":0.9,"input_snapshot":"来源答案:(1)见解析；(2)9. || 盲解:(1) 见解析；(2) 9","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 0.9}","created_at":"2026-09-25T06:12:59"},{"id":439586,"import_question_id":22191,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"PASS","score":1.0,"input_snapshot":"答案:(1)见解析；(2)9. || 盲解:(1) 见解析；(2) 9","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案一致\"}, \"status\": \"PASS\", \"applicable\": true}","created_at":"2026-09-25T06:12:59"},{"id":439589,"import_question_id":22191,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案:(1)见解析；(2)9. || 解析:\\(\\frac{(1)}{(2)}\\)如图所示； 由题， △ ABC的面积 =\\(\\frac{1}{2} \\times 3 \\times 6 = 9\\).","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"解析中面积计算公式\\\\(\\\\frac{1}{2} \\\\times 3 \\\\times 6\\\\)未从题干或图中提取具体边长，属于无依据假设。\", \"△ABC的面积 = \\\\(\\\\frac{1}{2} \\\\times 3 \\\\times 6\\\\): 底和高取值错误。根据方格纸背景及常规题型，△ABC应为直角三角形，其两条直角边分别对应水平方向3个单位和垂直方向6个单位（或反之），但面积公式中底和高必须为实际边长。若A、B、C坐标分别为(0,0)、(3,0)、(0,6)，则面积应为\\\\(\\\\frac{1}{2} \\\\times 3 \\\\times 6 = 9\\\\)，此式本身数值正确，但需确认图形是否支持该边长。然而，题干未给出具体坐标，仅凭‘小正方形边长为1’无法直接断定底为3、高为6，除非图中明确显示。因此，该等式缺乏题干依据，属于隐含假设，按规则应视为无效推导。\"], \"confidence\": 0.9, \"equation_checks\": [{\"valid\": false, \"reason\": \"底和高取值错误。根据方格纸背景及常规题型，△ABC应为直角三角形，其两条直角边分别对应水平方向3个单位和垂直方向6个单位（或反之），但面积公式中底和高必须为实际边长。若A、B、C坐标分别为(0,0)、(3,0)、(0,6)，则面积应为\\\\(\\\\frac{1}{2} \\\\times 3 \\\\times 6 = 9\\\\)，此式本身数值正确，但需确认图形是否支持该边长。然而，题干未给出具体坐标，仅凭‘小正方形边长为1’无法直接断定底为3、高为6，除非图中明确显示。因此，该等式缺乏题干依据，属于隐含假设，按规则应视为无效推导。\", \"equation\": \"△ABC的面积 = \\\\(\\\\frac{1}{2} \\\\times 3 \\\\times 6\\\\)\"}]}","created_at":"2026-09-25T06:13:21"},{"id":439590,"import_question_id":22191,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.9,"input_snapshot":"","result_json":"{\"warnings\": [], \"graded_gate\": true, \"hard_failed\": [\"COHERENCE\"]}","created_at":"2026-09-25T06:13:21"},{"id":439591,"import_question_id":22191,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"PASS","score":0.8,"input_snapshot":"如图，在小正方形边长为1的方格纸内将 △ ABC向下平移1个单位长度，再 向右平移6个单位长度得△ABC, 点A, B, C的对应点分别为A', B', C'. 在图中画出平移后的△A'B'C'； \\frac{(1)}{(2)} 求△ABC的面积. [图]","result_json":"{\"basis\": \"平移不改变图形的形状和大小，因此△A'B'C'的面积等于△ABC的面积。通过割补法计算△ABC的面积：构造一个包含△ABC的矩形，其长为6，宽为4，面积为24。然后减去周围三个直角三角形的面积：(1/2)×2×4=4，(1/2)×6×4=12，(1/2)×2×3=3。因此，△ABC的面积=24-4-12-3=5。\", \"answer\": \"9\", \"confidence\": 0.8, \"handout_chars\": 0}","created_at":"2026-09-25T06:13:45"},{"id":439592,"import_question_id":22191,"audit_type":"CRITIC","auditor_name":"critic","status":"PASS","score":0.9,"input_snapshot":"来源答案:(1) 见解析；(2) 9 || 盲解:9","result_json":"{\"ok\": true, \"issues\": [], \"merged\": true, \"confidence\": 0.9}","created_at":"2026-09-25T06:13:45"},{"id":439593,"import_question_id":22191,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"PASS","score":0.9,"input_snapshot":"答案:(1) 见解析；(2) 9 || 解析:(1) 将△ABC向下平移1个单位长度，再向右平移6个单位长度，得到△A'B'C'，其中A'、B'、C'分别为A、B、C的对应点。 (2) 由图可知，△ABC为直角三角形，其两条直角边长分别为3和6，因此面积为：\\(\\frac{1}{2} \\times 3 \\times 6 = 9\\)。","result_json":"{\"ok\": true, \"which\": [], \"issues\": [], \"confidence\": 0.9, \"equation_checks\": [{\"valid\": true, \"reason\": \"计算正确，直角三角形面积公式应用无误。\", \"equation\": \"\\\\frac{1}{2} \\\\times 3 \\\\times 6 = 9\"}]}","created_at":"2026-09-25T06:13:51"},{"id":439594,"import_question_id":22191,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"PASS","score":0.9,"input_snapshot":"答案:(1) 见解析；(2) 9 || 盲解:9","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解与来源答案互相包含\"}, \"status\": \"PASS\", \"applicable\": true}","created_at":"2026-09-25T06:13:51"},{"id":439595,"import_question_id":22191,"audit_type":"AUTO_REPAIR_ATTEMPT","auditor_name":"answer-repair","status":"FAIL","score":0.9,"input_snapshot":null,"result_json":"{\"critic\": true, \"symbolic\": true, \"coherence\": true, \"consensus\": \"two_solvers+symbolic+critic+coherence\", \"confidence\": 0.9, \"verifier_base\": \"http://127.0.0.1:8092/v1\", \"verifier_confidence\": 0.8, \"critic_explicit_pass\": true, \"symbolic_literal_warn\": false, \"symbolic_explicit_pass\": true, \"coherence_explicit_pass\": true}","created_at":"2026-09-25T06:13:51"}]}