题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170155-89848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170155-89848.png)
(I)求曲线C的方程;
(II)已知点M在Y轴上,且过点F的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170155-77678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170155-97054.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170155-77678.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170156-66577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170156-65969.png)
整理得,
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170156-21532.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170156-48242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170157-23274.png)
故所求曲线C的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170157-46805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170157-94407.jpg)
(1) 当k=0时,D与F重合
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170157-41576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170158-80234.png)
所以,此时M点的坐标为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170158-78891.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170158-31973.png)
(2) 当
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170158-97563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170159-43424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170159-35104.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170159-88609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170159-17402.png)
解之,得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170159-83943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170200-96076.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170200-12806.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170200-55099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170200-57134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170201-68241.png)
故所求M点的坐标为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170158-78891.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170158-31973.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170155-77678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170201-99015.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170201-81246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170201-33214.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170155-77678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170202-75886.png)
解析
核心考点
试题【(本题满分13分)已知在直角坐标平面XOY中,有一个不在Y轴上的动点P(x,y),到定点F(0,)的距离比它到X轴的距离多,记P点的轨迹为曲线C(I)求曲线C的】;主要考察你对椭圆的定义与方程等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170141-84197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170141-13422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170141-75759.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170142-18450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170142-54892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170142-52115.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170142-80620.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170141-84197.png)
(Ⅱ)设过点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170142-52229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170141-84197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170143-56117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170143-70765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170143-35140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170143-78575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170143-47726.png)
(Ⅲ)试用
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170144-49704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170144-95378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170144-95378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170133-95808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170134-70703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170134-96105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170128-45272.jpg)
(I )求椭圆E的方程;
(II)垂直于OC的直线l与椭圆E交于A、B两点,当以AB为直径的圆P与y轴相切时,求直线l的方程和圆P的方程.
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170115-21268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170115-35064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170115-38902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170116-73950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170116-42065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170116-72365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170116-36786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170116-72365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170117-71880.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170117-89961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170117-59398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170116-72365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170105-86310.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170105-28527.png)
(1)求椭圆的标准方程;
2)若直线l过该椭圆的左焦点,交椭圆于M、N两点,且
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023170106-49371.png)
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