题目 #20647
- UUID
7094105e-b7d5-46b6-9be4-2672d48436ef- 来源
- A中考/2026江苏中考期末数学试卷+答案755.pdf 第 2 页,bbox
[45.0, 80.31, 553.6, 335.21] - 题型 / 学科
- fill_blank / math / SENIOR
- 知识树
KT_SENIOR_MATH_STANDARD- 难度
- 难度 4 / 5 较难 · 跨知识点综合
- QA 状态
- PUBLISHED 重试 0 次,得分 0.975
- 最终题 ID
9666
最终题干渲染(f_body 预览)
如图,在\(\Delta ABC\)所在平面上任意取一点\(O\)(与\(A\),\(B\),\(C\)不重合),连接\(OA\),\(OB\),\(OC\),分别在\(OA\),\(OB\),\(OC\)上取\(A_{1}\),\(B_{1}\),\(C_{1}\),连接\(A_{1}B_{1}\),\(A_{1}C_{1}\),\(B_{1}C_{1}\)得到\(\Delta A_{1}B_{1}C_{1}\),则下列说法不正确的是( ).
(A)若\(\Delta ABC\)与\(\Delta A_{1}B_{1}C_{1}\)是位似图形,则这两个三角形相似
(B)若\(\Delta ABC\)与\(\Delta A_{1}B_{1}C_{1}\)是相似图形,则这两个三角形也是位似图形
(C)若\(A_{1}\),\(B_{1}\),\(C_{1}\)分别是\(OA\),\(OB\),\(OC\)的中点,则\(\Delta ABC\)与\(\Delta A_{1}B_{1}C_{1}\)的周长比为2:1
(D)若\(\Delta ABC\)与\(\Delta A_{1}B_{1}C_{1}\)是位似图形,则\(AB \parallel A_{1}B_{1}\)填空题,每题6分

答案 / 解析
答案(f_answer)
(B)
解析(f_ways)
位似⇒相似,但相似⇏位似(位似需对应点连线共点且对应边平行),故(B)错;(A)(C)(D)均正确。
原图与资产(1)
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 | PASS | 1.000 | |
| COHERENCE | coherence-auditor | PASS | 1.000 | |
| QUALITY_GATE | quality-gate | PASS | 0.975 | |
| SOLVER | blind-solver | PASS | 1.000 | |
| CRITIC | critic | PASS | 1.000 | |
| AUTO_REPAIR_ATTEMPT | answer-repair | PASS | 1.000 | |
| AUTO_FILL_ANSWER | answer-repair | WARN | 1.000 | |
| VISION | vision-auditor | PASS | 1.000 |
知识点(0)
无
正式题库记录(t_question.f_id=9666)
- f_qkey
a89d4e20e1340debf99f06fa4aed2256- f_style / 难度
- 3 / 2
- 入库题干
- 如图,在\(\Delta ABC\)所在平面上任意取一点\(O\)(与\(A\),\(B\),\(C\)不重合),连接\(OA\),\(OB\),\(OC\),分别在\(OA\),\(OB\),\(OC\)上取\(A_{1}\),\(B_{1}\),\(C_{1}\),连接\(A_{1}B_{1}\),\(A_{1}C_{1}\),\(B_{1}C_{1}\)得到\(\Delta A_{1}B_{1}C_{1}\),则下列说法不正确的是( ). (A)若\(\Delta ABC\)与\(\Delta A_{1}B_{1}C_{1}\)是位似图形,则这两个三角形相似 (B)若\(\Delta ABC\)与\(\Delta A_{1}B_{1}C_{1}\)是相似图形,则这两个三角形也是位似图形 (C)若\(A_{1}\),\(B_{1}\),\(C_{1}\)分别是\(OA\),\(OB\),\(OC\)的中点,则\(\Delta ABC\)与\(\Delta A_{1}B_{1}C_{1}\)的周长比为2:1 (D)若\(\Delta ABC\)与\(\Delta A_{1}B_{1}C_{1}\)是位似图形,则\(AB \parallel A_{1}B_{1}\)填空题,每题6分

- 入库答案
- (B)
- 入库解析
- 位似⇒相似,但相似⇏位似(位似需对应点连线共点且对应边平行),故(B)错;(A)(C)(D)均正确。
事件
| 时间 | 阶段 | 级别 | 消息 |
|---|---|---|---|
| 2026-09-24 19:14:52 | PUBLISH | INFO | 已发布 t_question.f_id=9666 qkey=a89d4e20e1340debf99f06fa4aed2256 |
| 2026-09-24 19:14:52 | QA | INFO | QA: PASS (score=0.975) |