题目
题型:不详难度:来源:
如图,
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010135-56087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010135-56108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010135-75001.png)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010136-82392.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010136-62655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010136-79353.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010136-75304.jpg)
解析
(1)利用三角形的相似△
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010137-70023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010137-39676.png)
(2)利用直角三角形的射影定理得到半径的求解。
解:(I)证明:∵
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010137-52420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010137-23749.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010138-67914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010138-20610.png)
∴△
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010137-70023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010137-39676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010138-50656.png)
∴CD
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010138-82169.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010136-75304.jpg)
核心考点
试题【(本小题满分10分)选修4—1:几何证明选讲如图,是△的外接圆,D是的中点,BD交AC于E.(Ⅰ)求证:;(Ⅱ)若,O到AC的距离为1,求⊙O的半径.】;主要考察你对圆锥曲线性质探讨等知识点的理解。[详细]
举一反三
如图,已知
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010128-40292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010128-73269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010128-25985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010128-73269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010128-54589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010128-73269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010129-21824.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010129-79239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010129-61993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010129-95252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010130-30935.jpg)
(1)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010130-54759.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010130-92519.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010130-54406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010124-55298.png)
A、
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010124-61168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010124-84969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010125-15663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010125-47174.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010125-21000.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010118-27300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010118-25597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010118-82551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010118-82551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010118-11607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010118-75376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010118-75376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010118-82551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010119-54245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010119-38314.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010119-10481.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010120-81539.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010120-20715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010120-73659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010107-37055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010107-40492.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010108-17781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010107-40492.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010108-70642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010108-77758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010108-34939.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010108-46394.png)
(Ⅰ) 求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010108-70642.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010107-40492.png)
(Ⅱ)如果弦
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010108-99333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010108-17781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010109-36999.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010109-52209.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010109-50987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010109-38562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010109-59777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010054-88472.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010054-65175.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108010054-94692.png)
A.2 | B.4 | C.6 | D.![]() |
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