{"ok":true,"question":{"id":21458,"question_uuid":"268fae30-993d-4d02-9716-a3d065818671","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案425.pdf","source_page_start":2,"source_page_end":2,"source_bbox":"[30.38, 226.99, 520.84, 292.14]","subject_code":"math","grade_level":"JUNIOR","tree_code":"KT_JUNIOR_MATH_STANDARD","question_type":"subjective","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"已知下列个实数：70,−, 2,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{212}{37},, 3 8, \\\\sqrt{4^{2}}\"}, {\"text\": \"． 把下列各数在数轴上表示，并用＂＜＂号 把它们连接起来．\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{(1)}{(2)}\"}, {\"text\": \"将它们分别填入相应的圈内． 将这个实数用＂＂连接起来．7\", \"type\": \"text\"}, {\"kind\": \"embedded_image\", \"type\": \"figure\", \"width\": 676, \"height\": 259, \"sha256\": \"bcccf48894cd60ad24c58d64cd774e4104f56f04faa9a12a99cf4e85e8f784bd\", \"caption\": \"\", \"asset_key\": \"math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/268fae30-993d-4d02-9716-a3d065818671/bcccf48894cd.png\", \"public_url\": \"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/268fae30-993d-4d02-9716-a3d065818671/bcccf48894cd.png\", \"source_bbox\": [30.0, 306.9399719238281, 163.9499969482422, 347.78997802734375], \"source_page\": 2}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"【讲解】 (1)0,, − 2, 2,12, 3 8,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{4^{2}}\"}, {\"text\": \"中，\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"3\\\\sqrt{8} = 2, \\\\sqrt{4^{2}} = 4\"}, {\"text\": \"， | −=3| 3,?−\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{4} =\"}, {\"text\": \"−2,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"3 \\\\sqrt{−125} =\"}, {\"text\": \"−5,(−1)2022 =1， 3 7 将各数表示在数轴上为： 则无理数有：, −\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{2}\"}, {\"text\": \"；整数有：0, 3 8,\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{4^{2}}\"}, {\"text\": \"．故 填数如下： 用＂＜＂号把它们连接起来为：\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"3 \\\\sqrt{−125}\"}, {\"text\": \"−\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{4}\"}, {\"text\": \" 0 −(1)2022 −|3|． (2)对个实数排序如下：7−\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{2}\"}, {\"text\": \" 0 \", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{2}{3}\"}, {\"text\": \"\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{12}{7}\"}, {\"text\": \"\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"3 \\\\sqrt{8}\"}, {\"text\": \"\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\sqrt{4^{2}}\"}, {\"text\": \".\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.38, 226.99, 520.84, 292.14], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案425.pdf\", \"regions\": [{\"bbox\": [30.38, 226.99, 520.84, 292.14], \"page\": 2}], \"section\": \"example\", \"page_end\": 2, \"page_start\": 2, \"section_label\": \"跟我学        关键母题，常考题型各个击破！\", \"answer_regions\": [{\"bbox\": [31.304311752319336, 363.8296203613281, 518.6932373046875, 581.2871704101562], \"page\": 2}], \"answer_original\": \"\", \"solution_original\": \"【讲解】 (1)0,, − 2, 2,12, 3 8, \\\\sqrt{4^{2}} 中，3\\\\sqrt{8} = 2, \\\\sqrt{4^{2}} = 4， | −=3| 3,?− \\\\sqrt{4} = −2, 3 \\\\sqrt{−125} = −5,(−1)2022 =1， 3 7 将各数表示在数轴上为： 则无理数有：, − \\\\sqrt{2}；整数有：0, 3 8, \\\\sqrt{4^{2}} ．故 填数如下： 用＂＜＂号把它们连接起来为： 3 \\\\sqrt{−125} − \\\\sqrt{4}  0 −(1)2022 −|3|． (2)对个实数排序如下：7− \\\\sqrt{2}  0  \\\\frac{2}{3}  \\\\frac{12}{7}  3 \\\\sqrt{8}  \\\\sqrt{4^{2}}.\"}, \"version\": 1, \"grade_level\": \"JUNIOR\", \"number_label\": \"2\", \"subject_code\": \"math\", \"question_type\": \"subjective\", \"content_sha256\": \"ea49dda287654d3e421945f4735c53a053ced18b14df9826f0f652f634609927\"}","body_html":"<div>已知下列个实数：70,−, 2,\\(\\frac{212}{37},, 3 8, \\sqrt{4^{2}}\\)． 把下列各数在数轴上表示，并用＂＜＂号 把它们连接起来．\\(\\frac{(1)}{(2)}\\)将它们分别填入相应的圈内． 将这个实数用＂＂连接起来．7<img class=\"question-figure\" src=\"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/268fae30-993d-4d02-9716-a3d065818671/bcccf48894cd.png\" style=\"width:178.6px!important;max-width:100%;height:auto\" alt=\"\" title=\"点击查看原图\"></div>","answer_html":"","ways_html":"【讲解】 (1)0,, − 2, 2,12, 3 8,\\(\\sqrt{4^{2}}\\)中，\\(3\\sqrt{8} = 2, \\sqrt{4^{2}} = 4\\)， | −=3| 3,?−\\(\\sqrt{4} =\\)−2,\\(3 \\sqrt{−125} =\\)−5,(−1)2022 =1， 3 7 将各数表示在数轴上为： 则无理数有：, −\\(\\sqrt{2}\\)；整数有：0, 3 8,\\(\\sqrt{4^{2}}\\)．故 填数如下： 用＂＜＂号把它们连接起来为：\\(3 \\sqrt{−125}\\)−\\(\\sqrt{4}\\) 0 −(1)2022 −|3|． (2)对个实数排序如下：7−\\(\\sqrt{2}\\) 0 \\(\\frac{2}{3}\\)\\(\\frac{12}{7}\\)\\(3 \\sqrt{8}\\)\\(\\sqrt{4^{2}}\\).","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.867,"error_message":"QA failed: VISION,SOLVER,CRITIC,COHERENCE,ANSWER","published_question_id":null,"content_sha256":"ea49dda287654d3e421945f4735c53a053ced18b14df9826f0f652f634609927","created_at":"2026-09-25T01:12:48","updated_at":"2026-09-25T01:26:58","answer_missing":true,"formula_fallback":false,"_number":"2","_section":"example","_section_label":"跟我学        关键母题，常考题型各个击破！"},"assets":[{"id":4667,"asset_uuid":"c56eaa8771e44f08bf44b4e4a245fb53","job_id":3,"import_question_id":21458,"asset_type":"embedded_image","source_file":"2026江苏七年级期末数学试卷+答案425.pdf","source_page":2,"source_bbox":"[30.0, 306.94, 163.95, 347.79]","sha256":"bcccf48894cd60ad24c58d64cd774e4104f56f04faa9a12a99cf4e85e8f784bd","local_path":"/www/wwwroot/tikupdfpng.mtwlkj.net_5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/268fae30-993d-4d02-9716-a3d065818671/bcccf48894cd.png","asset_key":"math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/268fae30-993d-4d02-9716-a3d065818671/bcccf48894cd.png","public_url":"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/268fae30-993d-4d02-9716-a3d065818671/bcccf48894cd.png","width":676,"height":259,"qa_status":"PENDING","created_at":"2026-09-25T01:16:40","safe_public_url":"http://tikupdfpng.mtwlkj.net:5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/268fae30-993d-4d02-9716-a3d065818671/bcccf48894cd.png"}],"knowledge":[],"audits":[{"id":423408,"import_question_id":21458,"audit_type":"STRUCTURE","auditor_name":"structure-rule","status":"PASS","score":0.9,"input_snapshot":"已知下列个实数：70,−, 2, \\frac{212}{37},, 3 8, \\sqrt{4^{2}} ． 把下列各数在数轴上表示，并用＂＜＂号 把它们连接起来． \\frac{(1)}{(2)} 将它们分别填入相应的圈内． 将这个实数用＂＂连接起来．7 [图]","result_json":"{\"ok\": true, \"rule\": \"clean-override\", \"issues\": [], \"confidence\": 0.9}","created_at":"2026-09-25T01:22:26"},{"id":423409,"import_question_id":21458,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\frac{212}{37},, 3 8, \\sqrt{4^{2}}; \\frac{(1)}{(2)}; \\sqrt{4^{2}}; 3\\sqrt{8} = 2, \\sqrt{4^{2}} = 4; \\sqrt{4} =","result_json":"{\"risky\": 15, \"issues\": [], \"checked\": 15, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-25T01:22:26"},{"id":423410,"import_question_id":21458,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"已知下列个实数：70,−, 2, \\frac{212}{37},, 3 8, \\sqrt{4^{2}} ． 把下列各数在数轴上表示，并用＂＜＂号 把它们连接起来． \\frac{(1)}{(2)} 将它们分别填入相应的圈内． 将这个实数用＂＂连接起来．7 [图]","result_json":"{\"picks\": [], \"tree_code\": \"KT_JUNIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-25T01:22:26"},{"id":423433,"import_question_id":21458,"audit_type":"VISION","auditor_name":"vision-auditor","status":"FAIL","score":0.8,"input_snapshot":"题干：\n已知下列个实数：70,−, 2,\\(\\frac{212}{37},, 3 8, \\sqrt{4^{2}}\\)． 把下列各数在数轴上表示，并用＂＜＂号 把它们连接起来．\\(\\frac{(1)}{(2)}\\)将它们分别填入相应的圈内． 将这个实数用＂＂连接起来．7\n答案：\n\n解析：\n【讲解】 (1)0,, − 2, 2,12, 3 8,\\(\\sqrt{4^{2}}\\)中，\\(3\\sqrt{8} = 2, \\sqrt{4^{2}} = 4\\)， | −=3| 3,?−\\(\\sqrt{4} =\\)−2,\\(3 \\sqrt{−125} =\\)−5,(−1)2022 =1， 3 7 将各数表示在数轴上为： 则无理数有：, −\\(\\sqrt{2}\\)；整数有：0, 3 8,\\(\\sqrt{4^{2}}\\)．故 填数如下： 用＂＜＂号把它们连接起来为：\\(3 \\sqrt{−125}\\)−\\(\\sqrt{4}\\) 0 −(1)2022 −|3|． (2)对个实数排序如下：7−\\(\\sqrt{2}\\) 0 \\(\\frac{2}{3}\\)\\(\\frac{12}{7}\\)\\(3 \\sqrt{8}\\)\\(\\sqrt{4^{2}}\\).","result_json":"{\"ok\": false, \"hard\": true, \"issues\": [\"题干中实数列表严重错误：原文为 '70,π−, 2, 212/37, 3 8, √(4²)'，而原卷为 '0, π, -√2, 2/3, 12/7, ∛8, √(4²)'，数值和符号均不匹配\", \"答案部分缺失，仅写 '答案：' 后无内容\", \"解析中混入无关数值（如 3√(-125)、|-3| 等），这些在原卷题干和答案中均未出现\", \"解析中公式书写混乱，如 '3√−125 = −5' 应为 '∛(-125) = -5'，但题干中并无此数\", \"实际输出配图仅显示两个空圈（无理数、整数），缺少原卷中的数轴图示\", \"题干中 '70' 应为 '0'，'π−' 应为 'π'，'212/37' 应为 '12/7'，'3 8' 应为 '∛8'\"], \"confidence\": 0.8, \"suggestions\": [\"修正题干中的实数列表，确保与原卷一致\", \"补充完整的答案部分\", \"清理解析中的无关数值和混乱公式\", \"添加原卷中的数轴配图\", \"统一数学符号表示（如根号、分数格式）\"]}","created_at":"2026-09-25T01:24:15"},{"id":423445,"import_question_id":21458,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"WARN","score":0.4,"input_snapshot":"已知下列个实数：70,−, 2, \\frac{212}{37},, 3 8, \\sqrt{4^{2}} ． 把下列各数在数轴上表示，并用＂＜＂号 把它们连接起来． \\frac{(1)}{(2)} 将它们分别填入相应的圈内． 将这个实数用＂＂连接起来．7 [图]","result_json":"{\"note\": \"盲解+评判合并调用未返回\"}","created_at":"2026-09-25T01:26:04"},{"id":423446,"import_question_id":21458,"audit_type":"CRITIC","auditor_name":"critic","status":"WARN","score":0.5,"input_snapshot":"已知下列个实数：70,−, 2, \\frac{212}{37},, 3 8, \\sqrt{4^{2}} ． 把下列各数在数轴上表示，并用＂＜＂号 把它们连接起来． \\frac{(1)}{(2)} 将它们分别填入相应的圈内． 将这个实数用＂＂连接起来．7 [图]","result_json":"{\"note\": \"Critic 未返回结果\"}","created_at":"2026-09-25T01:26:04"},{"id":423447,"import_question_id":21458,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.5,"input_snapshot":"答案: || 盲解:","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"未提取到来源答案\"}, \"status\": \"WARN\", \"applicable\": true}","created_at":"2026-09-25T01:26:04"},{"id":423448,"import_question_id":21458,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案: || 解析:【讲解】 (1)0,, − 2, 2,12, 3 8,\\(\\sqrt{4^{2}}\\)中，\\(3\\sqrt{8} = 2, \\sqrt{4^{2}} = 4\\)， | −=3| 3,?−\\(\\sqrt{4} =\\)−2,\\(3 \\sqrt{−125} =\\)−5,(−1)2022 =1， 3 7 将各数表示在数轴上为： 则无理数有：, −\\(\\sqrt{2}\\)；整数有：0, 3 8,\\(\\s","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"解析中多处等式错误：3\\\\sqrt{8}=2 错误；\\\\sqrt{4}=-2 错误；3\\\\sqrt{-125}=-5 错误；排序不等式错误。\", \"题目给出的实数列表与解析中使用的数不完全一致，解析引入了未定义的数如 -\\\\sqrt{2}, 3\\\\sqrt{-125} 等。\", \"3\\\\sqrt{8} = 2: \\\\sqrt{8}=2\\\\sqrt{2}\\\\approx 2.828, 3\\\\sqrt{8}\\\\approx 8.485\\\\neq 2\", \"\\\\sqrt{4} = -2: \\\\sqrt{4}=2, 算术平方根非负\", \"3\\\\sqrt{-125} = -5: \\\\sqrt{-125} 为虚数, 不能等于实数 -5\", \"排序: 3\\\\sqrt{-125} < -\\\\sqrt{4} < 0 < -(1)^{2022} < -|3|: 右边 -|3|=-3, 左边 3\\\\sqrt{-125} 为虚数, 无法与实数比较大小\", \"7-\\\\sqrt{2} < 0 < 2/3 < 12/7 < 3\\\\sqrt{8} < \\\\pi < \\\\sqrt{4^{2}}: 7-\\\\sqrt{2}\\\\approx 5.586>0, 不应小于0; \\\\pi\\\\approx 3.1416, 3\\\\sqrt{8}\\\\approx 8.485, 故 \\\\pi < 3\\\\sqrt{8} 错误\"], \"confidence\": 0.9, \"equation_checks\": [{\"valid\": false, \"reason\": \"\\\\sqrt{8}=2\\\\sqrt{2}\\\\approx 2.828, 3\\\\sqrt{8}\\\\approx 8.485\\\\neq 2\", \"equation\": \"3\\\\sqrt{8} = 2\"}, {\"valid\": true, \"reason\": \"正确\", \"equation\": \"\\\\sqrt{4^{2}} = 4\"}, {\"valid\": true, \"reason\": \"正确\", \"equation\": \"|-3| = 3\"}, {\"valid\": false, \"reason\": \"\\\\sqrt{4}=2, 算术平方根非负\", \"equation\": \"\\\\sqrt{4} = -2\"}, {\"valid\": false, \"reason\": \"\\\\sqrt{-125} 为虚数, 不能等于实数 -5\", \"equation\": \"3\\\\sqrt{-125} = -5\"}, {\"valid\": true, \"reason\": \"正确\", \"equation\": \"(-1)^{2022} = 1\"}, {\"valid\": false, \"reason\": \"右边 -|3|=-3, 左边 3\\\\sqrt{-125} 为虚数, 无法与实数比较大小\", \"equation\": \"排序: 3\\\\sqrt{-125} < -\\\\sqrt{4} < 0 < -(1)^{2022} < -|3|\"}, {\"valid\": false, \"reason\": \"7-\\\\sqrt{2}\\\\approx 5.586>0, 不应小于0; \\\\pi\\\\approx 3.1416, 3\\\\sqrt{8}\\\\approx 8.485, 故 \\\\pi < 3\\\\sqrt{8} 错误\", \"equation\": \"7-\\\\sqrt{2} < 0 < 2/3 < 12/7 < 3\\\\sqrt{8} < \\\\pi < \\\\sqrt{4^{2}}\"}]}","created_at":"2026-09-25T01:26:58"},{"id":423449,"import_question_id":21458,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.867,"input_snapshot":"","result_json":"{\"warnings\": [\"SOLVER\"], \"graded_gate\": true, \"hard_failed\": [\"VISION\", \"CRITIC\", \"COHERENCE\", \"ANSWER\"]}","created_at":"2026-09-25T01:26:58"}]}