题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232920-74422.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232920-46415.png)
(2)当m=0时的圆与直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232920-57262.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232920-46577.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232921-66778.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232921-64082.png)
解析
(1)根据已知条件可知,将方程配方得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232921-24349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232921-63898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232921-38377.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232920-46415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232920-46415.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232920-46415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232922-16063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232921-63898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232922-74537.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232922-59948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232922-80320.png)
解:(1)将方程配方得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232921-24349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232921-63898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232921-38377.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232920-46415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232920-46415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232923-16912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232921-66778.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232920-46415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232922-16063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232921-63898.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232922-74537.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232922-59948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232922-80320.png)
设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232920-46577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232923-94336.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232923-27685.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232923-77606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232924-47477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232924-42595.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232920-46577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232921-64082.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232912-40414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232912-34427.png)
中点为点P.
(1)求MN的中点P的轨迹方程;
(2)直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232912-95809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232912-95809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232913-19499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232913-52271.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232912-95809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232906-64883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232906-71479.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232907-41722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232907-47022.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232900-80752.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232901-35623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232901-83568.png)
(1)求动圆圆心P的轨迹方程;
(2)若斜率为k的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232901-78208.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232901-68134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232901-31708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232901-78140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232847-87883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232848-86613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232848-82766.png)
(Ⅰ)求点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232847-87883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232848-26686.png)
(Ⅱ)过点
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232848-10724.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232848-32509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232848-26686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232848-29359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232848-85074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232848-99931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232848-54835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232848-76689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232849-14328.png)
(Ⅲ)在(Ⅱ)的条件下,求
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232849-99277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232839-78504.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232839-82077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191022/20191022232839-98601.png)
A.(0,1) | B.![]() |
C.[![]() | D.(![]() |
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