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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)

预览类型页source bboxhashURL本地路径
embedded_image2 [45.0, 139.52, 186.7, 242.27] 94c38824904a9a74…
打开
/www/wwwroot/tikupdfpng.mtwlkj.net_5129/qbank/math/2026/09/16de2e24-a616-456b-83c5-3364ab6bd928/7094105e-b7d5-46b6-9be4-2672d48436ef/94c38824904a.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 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 19:14:52PUBLISHINFO已发布 t_question.f_id=9666 qkey=a89d4e20e1340debf99f06fa4aed2256
2026-09-24 19:14:52QAINFOQA: PASS (score=0.975)