题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181149-28228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181149-76719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181149-57422.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181150-73377.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181150-28524.png)
分两种情况:
① 若焦点在
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181150-42270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181150-55275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181151-56389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181149-76719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181151-51059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181151-54756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181151-47131.png)
② 若焦点在
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181152-30302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181152-94198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181152-26856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181149-76719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181152-69096.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181152-86254.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181153-43217.png)
由①②得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181149-57422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181150-73377.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181144-61351.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181144-38709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181144-92564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181144-87324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181145-81656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181145-35982.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181145-61563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181145-85941.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181122-56608.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181122-64832.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181122-60257.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181123-44259.gif)
(1) 求椭圆C的方程;
(2) 求线段MN长度的最小值;
(3) 当线段MN的长度最小时,在椭圆C上的T满足:T到直线AS的距离等于
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181123-25413.gif)
试确定点T的个数。
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181106-74804.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181106-17519.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181106-44200.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181106-17519.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181107-88658.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181107-75554.gif)
(Ⅰ)求椭圆C的方程;
(II)设过点F不与坐标轴垂直的直线交椭圆C于A、 B两点,线段AB的垂直平分线与
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181107-83499.gif)
已知椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181045-99059.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181045-13417.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181046-15596.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181046-78367.gif)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181046-91223.gif)
(Ⅱ)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181046-27995.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181046-91223.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181047-15084.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181047-74258.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181047-68901.gif)
求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181047-39433.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181039-94251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181040-53689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181040-36303.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181040-16284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181040-60786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181041-78458.png)
的焦点相同且
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181041-24515.png)
椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181039-94251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181040-16284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181041-41409.png)
③
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181041-90833.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181042-35318.png)
其中,所有正确结论的序号是
A.②③④ | B.①③④ | C.①②④ | D.①②③ |
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