题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011138-37743.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011139-84765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011139-46659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011139-79526.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011139-32854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011139-93111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011139-79239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011139-84765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011139-77620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011139-57353.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011139-99058.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011140-69776.png)
最小正周期
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011140-99677.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011140-72465.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011140-27998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011140-94872.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011140-82823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011141-22973.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011141-39578.png)
(2)解法一: 因为
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011141-85264.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011141-60476.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011141-71589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011142-70491.png)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011142-46021.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011142-91349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011142-51118.png)
解法二: 因为
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011143-93261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011141-60476.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011143-52335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011143-92583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011143-84461.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011144-40100.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011144-43645.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011142-91349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011142-51118.png)
解析
核心考点
举一反三
如图,已知PA与圆O相切于点A,经过点O的割线PBC交圆O于点B.C,
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011129-47847.png)
(1)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011129-52771.png)
(2)若AC=AP,求
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011129-50457.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011129-87550.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011121-34432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011121-98760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011122-53257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011122-33589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011122-87083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011122-59020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011123-11060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011121-98760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011123-37548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011123-65964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011123-30208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011123-77324.png)
如图,AB为圆
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011114-66324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011114-66324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011114-72405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011114-66324.png)
交圆
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011114-66324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011115-69247.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011115-38314.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011115-32989.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011109-99163.png)
的两个根.( 如图所示)(1)求m的值(2)求证:DE//BC
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011109-37221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011103-27111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011103-39694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011104-22092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011104-39195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011103-39694.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011104-91111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011104-22489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011105-40795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011105-17226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191108/20191108011105-89917.png)
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