题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023131-21108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023131-14704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023131-85216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023131-21108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023132-87569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023132-87569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023132-95649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023132-86066.png)
求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023132-95649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023132-82665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023133-24112.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023133-42970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023133-46876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023133-44143.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023133-22624.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023134-40845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023133-42970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023132-86066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023133-42970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023132-95649.png)
解析
试题分析:连接
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023133-42970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023134-73795.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023131-85216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023131-14704.png)
∴∠
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023133-46876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023133-44143.png)
∴弧
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023133-22624.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023134-40845.png)
又∵
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023133-42970.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023133-42970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023132-86066.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023132-95649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023132-86066.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023133-42970.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023132-95649.png)
又∵
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023132-95649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023133-42970.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023132-95649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023132-82665.png)
点评:在证明切线的问题中,一般先连接切点与圆心,再证垂直.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023125-51834.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023125-51834.png)
A、相离 B、相切 C、相交 D、相切或相交
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023119-52396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023120-66772.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023119-52396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023120-66772.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023113-12906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023113-86849.png)
(1)求∠F的正切值;
(2)联结DF,与半径OC交于H,求△FHO的面积。
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023109-17253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023110-26646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023110-26646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023109-17253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023110-45236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023101-79578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023102-71339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023102-89847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023102-42586.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191105/20191105023102-24191.png)
(1)求抛物线与y轴的交点D的坐标(用m的代数式表示);
(2)当m为何值时,直线PD与圆C相切?
(3)联结PB、PD、BD,当m=1时,求∠BPD的正切值。
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