题目 #13200
- UUID
0c003282-0fe9-4460-a275-bc72729b2744- 来源
- A中考/2026江苏中考期末数学试卷+答案130.pdf 第 4-5 页，bbox
[30.0, 636.58, 453.0, 198.59] - 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 0.950
- 最终题 ID
- -
- 错误
- 发布失败: 正式发布门禁：选项内容为空: D
最终题干渲染（f_body 预览）
从−2, −1,1,2这四个数中, 任取两个不同的数作为一次函数y = kx + b的系数 k、b,所得一次函数 y = kx + b 的图象不经过第四象限的概率是().
A. 1 6 1 12
B. 1 3
C. 1 2
D.
| (B)2 9 (C)2 3 (D)1 3 | Col1 |
|---|
A. 1 6 1 12
B. 1 3
C. 1 2
D.
答案 / 解析
答案（f_answer）
C
解析（f_ways）
从−2, −1, 1, 2中任取两个不同的数作为k、b，共有A₄^2=12种等可能结果。一次函数y=kx+b的图象不经过第四象限，需满足：①k>0且b≥0；②k<0且b≤0。但b不能为0（因0不在集合中），故实际条件为：(k>0且b>0)或(k<0且b<0)。集合中正数为{1,2}，负数为{−1,−2}。当k∈{1,2}、b∈{1,2}时，有\(2\times 1=2\)种；当k∈{−1,−2}、b∈{−1,−2}时，有\(2\times 1=2\)种。合计满足条件的结果数为4种。因此所求概率为4/12=1/3。
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 | 1.000 | |
| SOLVER | blind-solver | PASS | 1.000 | |
| CRITIC | critic | PASS | 1.000 | |
| SYMBOLIC | symbolic-auditor | WARN | 0.500 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| COHERENCE | coherence-auditor | FAIL | 0.900 | |
| QUALITY_GATE | quality-gate | FAIL | 0.950 | |
| SOLVER | blind-solver | PASS | 1.000 | |
| CRITIC | critic | PASS | 1.000 | |
| COHERENCE | coherence-auditor | PASS | 0.900 | |
| SYMBOLIC | symbolic-auditor | PASS | 1.000 | |
| AUTO_REPAIR_ATTEMPT | answer-repair | PASS | 1.000 | |
| AUTO_REPAIR | answer-repair | PASS | 1.000 | |
| VISION | vision-auditor | PASS | 1.000 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | FAIL | 0.300 | |
| RETRO_REPAIR | retro-deterministic | 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 |
|---|---|---|---|
| 2026-09-22 18:45:23 | PUBLISH | ERROR | 发布失败: 正式发布门禁：选项内容为空: D |
| 2026-09-22 18:45:23 | QA | INFO | QA: PASS (score=0.950) |
| 2026-09-22 18:35:55 | FORMULA | WARN | 公式转换未确认，保留原文本: stem |