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题目 #180271

UUID
ca094424-7fec-4e9a-9d44-f84909f266a7
来源
冀教版/八下/薛豪Q_18952688822_115_检测.pdf 第 3-4 页,bbox [30.22, 726.96, 555.01, 117.31]
题型 / 学科
comprehensive / math / JUNIOR
知识树
KT_JUNIOR_MATH_STANDARD
难度
难度 2 / 5 简单 · 单一知识点
QA 状态
存疑 / 待修复 重试 0 次,得分 -
最终题 ID
-
错误
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]

最终题干渲染(f_body 预览)

在边长为1的小正方形网格中,\(\Delta{}AOB\)的顶点均在格点上.
(1)将\(\Delta{}AOB\)向左平移4个单位长度,再向下平移3个单位长度得到三角形\(A_{1}O_{1}B_{1}\), 请画出三角形\(A_{1}O_{1}B_{1}\);
(2)再(2)的条件下,\(A_{1}\)的坐标为_____,\(\Delta{}A_{1}O_{1}B_{1}\)的面积为_____.

答案 / 解析

答案(f_answer)

如图,△A′B′C′即为所求, 由图知C′(−1, 3).

解析(f_ways)

(1)见解析(2)\(A_{1}\)(−3, 0),\(3.5 \frac{(1)}{(2)}\)如图所示,\(\Delta{}A_{1}O_{1}B_{1}\)即为所求; 将\(\Delta{}AOB\)向左平移4个单位长度, 再向下平移3个单位长度得到\(\Delta{}A_{1}O_{1}B_{1}\)得 A(1, 3), ∴\(A_{1}\)(−3, 0), S_{\(\Delta{}A1\)}_{O1}_{B1}=\(3 \times 3\)−\(\frac{1}{2} \times 1 \times 3\)−\(\frac{1}{2} \times 2 \times 3\)−\(\frac{1}{2} \times 1 \times 2 = 3.5\).

原图与资产(1)

预览类型页source bboxhashURL本地路径
embedded_image4 [30.22, 116.79, 126.68, 171.41] add0e2d66cf5c5d4…
打开
/www/wwwroot/tikupdfpng.mtwlkj.net_5129/qbank/math/2026/11/a13a92c3-ebda-4a16-b969-9efbd0519d0d/ca094424-7fec-4e9a-9d44-f84909f266a7/add0e2d66cf5.png

审计记录

阶段审计器结果得分依据(简短)
STRUCTURE structure-rule PASS 0.900
FORMULA formula-auditor PASS 1.000
KNOWLEDGE knowledge-auditor WARN -
VISION vision-auditor PASS 0.950
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RETRO_REPAIR retro-deterministic FAIL 0.300
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RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300
RETRO_REPAIR retro-deterministic FAIL 0.300

知识点(0)

无

事件

时间阶段级别消息
2026-11-09 22:29:20ERRORERROR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]
2026-11-09 22:25:20FORMULAWARN公式转换未确认,保留原文本: solution
2026-11-09 22:23:42FORMULAWARN公式转换未确认,保留原文本: sub_2
2026-11-09 22:19:41FORMULAWARN公式转换未确认,保留原文本: sub_1