题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035334-63639.png)
(1)求动点P的轨迹C的方程;
(2)若M为曲线C上的动点,以M为圆心,MF2为半径做圆M.若圆M与y轴有两个交点,求点M横坐标的取值范围.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035334-19549.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035334-35565.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035334-83597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035334-51764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035334-19478.png)
∴C的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035334-14421.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035334-97018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035335-21293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035335-64097.png)
∵圆M与y轴有两个交点,∴
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035335-46650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035335-22083.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035335-12809.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035335-26467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035335-21543.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035336-21513.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035336-76407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035336-95514.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035336-69399.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035336-28029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035337-52235.png)
解析
核心考点
试题【已知动点P与双曲线的两个焦点F1,F2的距离之和为4.(1)求动点P的轨迹C的方程;(2)若M为曲线C上的动点,以M为圆心,MF2为半径做圆M.若圆M与y轴有两】;主要考察你对双曲线的定义与方程等知识点的理解。[详细]
举一反三
A.双曲线 | B.双曲线左支 | C.双曲线右支 | D.一条射线 |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035320-88776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035320-51591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035321-40319.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035321-48488.png)
A.2 | B.4 | C.6 | D.8 |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035315-13370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035315-72597.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035315-25611.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035315-36113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035315-17616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035315-74608.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035315-67044.png)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035315-23820.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035316-94435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035316-29991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035308-37521.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035300-31422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035301-29238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035301-85982.png)
(
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024035301-42166.png)
A.![]() | B.![]() | C.3 | D.2 |
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