题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024621-11357.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024621-88935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024621-55560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024621-77040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024621-37793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024621-41021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024622-50625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024622-65527.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024622-93729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024622-18528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024622-40465.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024623-43444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024623-92031.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024623-43993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024623-35125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024623-35125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024621-37793.png)
(3)在(2)的条件下,若
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024624-62894.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024624-30455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024624-95120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024624-64260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024621-88935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024624-26574.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024624-30455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024622-93729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024621-55560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024625-84793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024625-70987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024625-10411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024625-36453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024625-76832.png)
解析
试题分析:(1)连接
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024624-30455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024624-95120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024624-64260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024621-88935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024624-26574.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024624-30455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024622-93729.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024621-55560.png)
(2)连接
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024625-84793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024626-67597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024625-10411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024625-36453.png)
(3)由
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024623-35125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024626-34737.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024626-67073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024626-51748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024626-58869.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024623-92031.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024626-38941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024627-53105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024627-47805.png)
(1)连接
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024624-30455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024627-84502.jpg)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024624-95120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024624-64260.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024621-88935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024624-26574.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024627-30145.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024628-75598.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024624-30455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024622-93729.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024621-55560.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024628-25524.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024623-43444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024623-92031.png)
(2)连接
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024625-84793.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024628-70771.jpg)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024625-70987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024625-10411.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024625-36453.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024628-41126.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024623-35125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024626-34737.png)
(3)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024623-35125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024626-34737.png)
∴S△
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024626-67073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024626-51748.png)
∴S阴影=
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024626-58869.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024623-92031.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024626-38941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024627-53105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024627-47805.png)
∴S阴影=
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024626-58869.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024628-19253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024625-76832.png)
点评:解答此类切线的判定的问题,一般是先连接切点和圆心,再证垂直.
核心考点
试题【如图,△中,是它的角平分线,,在边上,以为直径的半圆经过点,交于点。(1)求证:是的切线;(2)若,连接,求证:∥;(3)在(2)的条件下,若,求图中阴影部分的】;主要考察你对圆的认识等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024614-67532.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024615-44600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024615-47466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024615-99500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024615-99500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024615-85145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024616-65293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024616-78020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024609-12341.jpg)
(1)求证:DF是⊙O的切线;
(2)若弧AE=弧DE,DF=2,求弧AD的长.
A.等弦所对的弧相等 | B.等弧所对的弦相等 |
C.圆心角相等,所对弦相等 | D.弦相等,所对的圆心角相等 |
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024601-98547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024601-63297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024602-12601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024602-26399.png)
(1)求点A,C的坐标
(2)求证:BE=2OE
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105024556-93433.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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