题目 #180793
- UUID
26049c78-03c6-4d02-9075-88a3ad3b5f27- 来源
- 沪教版/八下/周琼玟Q_18978751881_85.pdf 第 3 页，bbox
[31.56, 417.66, 255.41, 570.28] - 题型 / 学科
- single_choice / 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=8091): Read timed out. (read timeout=120) [endpoints: http://127.0.0.1:8092/v1 -> http://127.0.0.1:8091/v1]
最终题干渲染（f_body 预览）
[\(\textbf{【小试2】}\)] 下列各式化成最简二次根式正确的是( )\(\sqrt{2}=\sqrt{2}\)
A. \(\sqrt{8_{9}}\)=√83
B. √4\(2 _{7}\)= √7
C. \(1 \frac{2}{10}\)
D. √0.3 =√3
A. \(\sqrt{8_{9}}\)=√83
B. √4\(2 _{7}\)= √7
C. \(1 \frac{2}{10}\)
D. √0.3 =√3
答案 / 解析
答案（f_answer）
\(C_{8}\)
解析（f_ways）
因√_{9}=√8√9= 2\(\sqrt{2_{3}}\)，而选项中的\(\sqrt{8_{3}}\)中√8还能继续化简，不是最简二次根式，故A错误；√_{7}=√4√7= √7= 4 2 2√7\(2 _{7}\)，选项中的 √7分母含有根号，不符合最简二次根式的要求，故B错误； √2=\(\sqrt{2\times}\)√2=\(\sqrt{2_{2}}\)， 1\(1\times\)√2 该结果满足最简二次根式的两个条件，故 C 正确；√0.3 = √_{10}=\(\sqrt{3\times 10√10\times 10}=√30_{10}\)，选项中的√3 3 10 化简错误，故D错误；故选：C．
原图与资产（1）
| 预览 | 类型 | 页 | source bbox | hash | URL | 本地路径 |
|---|---|---|---|---|---|---|
|
embedded_image | 3 | [30.0, 585.95, 71.19, 621.9] |
206a15665d990731… |
/www/wwwroot/tikupdfpng.mtwlkj.net_5129/qbank/math/2026/09/2b06312b-7e3f-494e-ae3e-21d10207fcf7/60add775-86c3-435d-af72-a7e902db4509/206a15665d99.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 | |
| 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 | |
| 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 |
|---|---|---|---|
| 2026-11-10 02:20:52 | ERROR | ERROR | 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] |
| 2026-11-10 02:16:52 | FORMULA | WARN | 公式转换未确认，保留原文本: solution |
| 2026-11-10 02:12:19 | FORMULA | WARN | 公式转换未确认，保留原文本: option_D |
| 2026-11-10 02:07:29 | FORMULA | WARN | 公式转换未确认，保留原文本: option_B |
| 2026-11-10 02:03:29 | FORMULA | WARN | 公式转换未确认，保留原文本: option_A |