题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092814-78913.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092815-99990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092815-91040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092815-31996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092815-65373.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
答案
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092816-78540.png)
解:过C′作C′H⊥A′B于H,
∵将边长为3的等边△ABC沿着
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092816-99128.png)
∴三角形A′B′C′是等边三角形,边长等于3,
∴AH=
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092816-27570.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092817-53071.png)
根据勾股定理得:C′H=
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092817-40562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092817-53071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092817-55511.png)
BC′=
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092817-76738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092817-55511.png)
故选C.
本题主要考查了平移的性质,等边三角形的性质等知识点,解此题的关键是作高求出高的长度.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092808-71422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092808-66272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092808-91476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092808-75200.png)
果
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092808-71422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092808-30949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092808-22304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092809-19121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092809-14677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092809-51876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092802-75846.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092803-36016.png)
还需添加一个条件,这个条件可以是 .(只需写出一个)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092803-76143.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092803-61173.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092752-55803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092753-37381.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092753-70495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092753-16443.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092753-34137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092754-16692.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092754-19061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092754-64008.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092755-28207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092755-49500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092755-94699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092755-94699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092755-50848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092746-62588.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092746-96032.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092741-72907.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103092741-41199.jpg)
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