题目
题型:不详难度:来源:
如图,
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034118-18380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034118-62666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034118-72553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034118-55769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034118-73555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034118-84305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034119-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034119-57266.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034119-46915.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034119-70157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034119-63824.jpg)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034119-44120.png)
(2)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034119-53261.png)
答案
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034119-34575.png)
(2) 延长
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034120-87114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034120-80521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034120-89184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034120-60876.png)
再根据DO为三角形ABC的中位线,OH等于AB的一半即可证明.
证明:(1)连接
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034120-14808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034120-34826.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034118-84305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034119-80902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034121-51307.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034121-19208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034121-13702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034119-34575.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034121-27958.png)
(2) 延长
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034120-87114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034120-80521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034121-19669.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034120-60876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034122-16057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034122-61186.png)
核心考点
试题【 (本小题满分10分)选修4-1:几何证明与选讲如图,为直角三角形,,以为直径的圆交于点,点是边的中点,连交圆于点.(1)求证:四点共圆;(2)求证:.】;主要考察你对圆的方程等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034113-61503.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034113-47657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034113-49421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034113-74315.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034113-61503.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034113-61503.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034105-90584.png)
A.±![]() | B.![]() |
C.±![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034100-58506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034100-91710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034100-32219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034100-52534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034101-82447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034101-93049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034101-30809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034101-65544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034101-94244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034101-88430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034101-42305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034100-52534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034100-32219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034101-49988.png)
求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034102-87319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034055-65773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034055-21303.png)
A.2、4、4 | B.-2、4、4 | C.2、-4、4 | D.2、-4、-4 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034050-81184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034050-47407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034050-81184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034050-51532.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034050-81184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034050-97204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034050-34843.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023034050-81184.png)
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