题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041345-72533.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041345-91005.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041345-92195.gif)
(1)试求动点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041345-72533.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041345-85799.gif)
(2)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041346-49481.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041345-85799.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041346-24576.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041346-88964.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041346-39150.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041346-88964.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041347-75737.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041347-50834.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041347-63737.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041347-87571.gif)
整理得
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041347-49783.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041348-83608.gif)
所以求得的曲线C的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041346-39150.gif)
(2)由
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041348-80027.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041348-55206.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041348-54425.gif)
解得x1="0," x2=
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041349-80520.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041349-48122.gif)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041349-49062.gif)
所以直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041346-88964.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041347-75737.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041347-50834.gif)
核心考点
举一反三
在直角坐标系
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041337-55070.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041338-91435.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041338-19102.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041338-45925.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041338-19102.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041338-45925.gif)
(1)写出
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041338-45925.gif)
(2)设d为A、B两点间的距离,d是否存在最大值、最小值;若存在,求出d的最大值、最小值.
已知椭圆的中点在原点O,焦点在x轴上,点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041330-59056.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041330-41288.gif)
(I)求椭圆的方程;
(II)若平行于CO的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041330-43444.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041331-86675.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041330-43444.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041326-93802.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041326-83515.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041326-40905.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041322-17984.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041322-68422.gif)
(
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041322-50600.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041322-50559.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041317-92546.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041317-14101.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041317-19946.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041317-97226.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026041317-23652.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
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