题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233654-70337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233654-15045.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233654-22102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233655-25949.png)
解析
圆心到弦的距离 的平方52-(
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233655-23460.png)
若直线斜率不存在,则垂直x轴
x=3,圆心到直线距离=|0-3|=3,成立
若斜率存在
y-6=k(x-3)即:kx-y-3k+6=0
则圆心到直线距离|0-0-3k+6|
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233655-28994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233655-59518.png)
解得k=
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233656-40256.png)
故答案为:x-3=0和3x-4y+15=0
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233646-99401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233646-73164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233646-49535.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233647-86884.png)
(1)求圆心
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233646-73164.png)
(2)若圆心
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233646-73164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233646-73164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233636-73579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233636-50784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233636-93991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233631-57638.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233621-41790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233621-40079.png)
直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233621-81216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233621-77261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233621-81216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233621-41790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233622-21387.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233622-88390.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233622-55046.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233622-77981.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233622-27081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233622-16568.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233622-59572.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233622-16568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233609-93829.png)
(1)求切线PF的方程;
(2)若抛物线E的焦点为F,顶点在原点,求抛物线E的方程.
(3)若Q为抛物线E上的一个动点,求
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233610-16339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022233610-14121.png)
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