题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004726-65801.png)
求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004726-86333.png)
若ED=2,求圆O的内接四边形ABCD的周长。
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004727-73273.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004726-86333.png)
周长为
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004727-74561.png)
解析
试题分析:(1)证明:连接AC,因为OD为圆O的半径,AD=DC,所以
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004727-73273.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004726-86333.png)
(2)周长为AD+CD+BC+BA=
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004727-98599.png)
点评:证明主要依据平面几何中的直线线段间的性质完成,此类题目难度不大
核心考点
试题【如图,BA是圆O的直径,延长BA至E,使得AE=AO,过E点作圆O的割线交圆O于D、E,使AD=DC,求证:;若ED=2,求圆O的内接四边形ABCD的周长。】;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
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004716-86248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004716-88998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004716-59043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004717-93042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004717-80216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004717-40222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004717-61999.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004718-76971.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004718-82084.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004718-58401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004716-86248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004718-58401.png)
(Ⅲ)若动圆
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004718-52203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004717-40222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004718-58401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004718-52203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004718-52203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004708-16679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004708-67841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004708-10465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004709-37775.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004708-10465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004708-16679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004709-47736.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004709-34604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004709-80572.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004710-21664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004710-46542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004658-90745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004658-34653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004658-24653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004658-26715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004658-24653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004659-16098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004659-15359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004659-63999.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004658-90745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004700-12418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004700-57946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004700-31167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004652-87241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004652-91554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004652-84069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004653-45902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004652-87241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004653-57607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004653-22778.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004653-41915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004653-30780.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004653-33251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004646-35979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004647-50420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108004647-53176.jpg)
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