题目 #21376
- UUID
11ffafd5-3c16-4154-9ff1-03acafea421d- 来源
- 人教版/七下/2026江苏七年级期末数学试卷+答案415.pdf 第 1 页,bbox
[30.22, 143.78, 333.09, 247.79] - 题型 / 学科
- single_choice / math / JUNIOR
- 知识树
KT_JUNIOR_MATH_STANDARD- 难度
- 难度 3 / 5 中等 · 多步骤
- QA 状态
- 存疑 / 待修复 重试 0 次,得分 0.938
- 最终题 ID
- -
- 错误
- 发布失败: 正式发布门禁:选项内容为空: C
最终题干渲染(f_body 预览)
在实数−√2, 0, ^{3}√−8,,\(\frac{22}{7}\)0.31, 0.2020020002 ⋯(相\(\pi 3\)邻的两个2之间依次多1个0)中, 无理数有( )个.
A. 1
B. \(\frac{2}{3}\)
C.
D. 4
A. 1
B. \(\frac{2}{3}\)
C.
D. 4
答案 / 解析
答案(f_answer)
C
解析(f_ways)
0, ^{3}√−8 = −2, 都是整数, 0.3是无限循环小数, 都是有理数,\(\frac{22}{7}\)是\(\pi\)分数,是有理数,无理数有 −√2,, 0.2020020002 ⋯(两个2之间依次多1个0),共3个.故选C. 3 2. B 实数 −\(\frac{1}{6},\pi\)−√4, 0.0456, √5, 0.070070007中,无理数有\(\pi\)√5,共2个. 3. D A.算术平方根都是非负实数,说法正确,不符合题意;B.与数轴 上所有的点一一对应的是全体实数,说法正确,不符合题意;C. 一个实数不是有理数就是无理数,说法正确,不符合题意;D.正 实数、零和负实数统称实数,原说法错误,符合题意;故选:D. 4. B ①应为无限不循环的小数是无理数,故说法错误;②应为正数、负 数、 0统称有理数,故说法错误;③无理数的相反数还是无理数,说 法正确;④无理数与有理数的和一定是无理数,说法正确;⑤有 理数和无理数统称实数,说法正确.∴共有3个正确.故选B. 5. D A、^{3}√8 = 2,对应点在2的位置,不在3 ∼4之间,不符合题意;B、\(4^{2}\)= 16 、\(5^{2}\)= 25, 16 < 19 < 25,对应点在4 ∼5之间,不符合题意;C、 |−√6| = √6,且\(2^{2}\)= 4 、\(3^{2}\)= 9, 4 < 6 < 9,对应点在2 ∼3之间,不符合 题意;D 、\(3^{3}\)= 27 、\(4^{3}\)= 64, 27 < 48 < 64,对应点在3 ∼4之间,符合题意.故选:D. 6. B ∵4 < 7 < 9,∴2 < √7 < 3, ∴数轴上表示实数√7的可能是Q点;故选B.
原图与资产(0)
该题没有裁出图片资产
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 | |
| SOLVER | blind-solver | PASS | 1.000 | |
| CRITIC | critic | PASS | 1.000 | |
| SYMBOLIC | symbolic-auditor | PASS | 1.000 | |
| COHERENCE | coherence-auditor | PASS | 0.900 | |
| QUALITY_GATE | quality-gate | PASS | 0.938 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | 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 |
|---|---|---|---|
| 2026-09-25 00:55:15 | PUBLISH | ERROR | 发布失败: 正式发布门禁:选项内容为空: C |
| 2026-09-25 00:55:15 | QA | INFO | QA: PASS (score=0.938) |
| 2026-09-25 00:54:13 | FORMULA | WARN | 公式转换未确认,保留原文本: solution |
| 2026-09-25 00:50:12 | FORMULA | WARN | 公式转换未确认,保留原文本: option_B |
| 2026-09-25 00:46:22 | FORMULA | WARN | 公式转换未确认,保留原文本: stem |