题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004552-75128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004552-75128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004552-75128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004552-94002.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004552-88303.png)
(1)求证:DE为
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004552-75128.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004552-34794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004552-69540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004552-51754.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004552-75128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004553-94150.png)
解析
试题分析:
解:(1)证明:连接OD.
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004553-12051.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004553-29106.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004553-64782.png)
∵CD平分∠PCO,
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004553-51671.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004554-80902.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004552-94002.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004554-22539.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004554-25434.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004554-18084.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004554-40858.png)
∴DE为
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004555-35232.png)
(2) 过点O作
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004555-91864.png)
由垂径定理得,
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004555-66274.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004552-69540.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004555-32573.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004554-40858.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004552-94002.png)
∴四边形ODEF为矩形.
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004556-57143.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004552-34794.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004556-29027.png)
在Rt△AOF中,
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004556-99112.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004556-28238.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004557-79596.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004546-97890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004546-41849.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004546-46922.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004540-88089.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004536-12823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004517-62934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004517-90544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004517-90544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004517-62934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004518-36708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004518-66976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004518-87797.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004518-57439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004518-96942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004518-90244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004518-57439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004518-26426.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004519-95825.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004519-31946.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004519-20655.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004518-66976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004519-76487.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004519-32289.png)
(3)若
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004520-42851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105004520-80381.png)
A.相交 | B.相切 | C.相离 | D.相切或相交 |
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