题目
题型:不详难度:来源:
![](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)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181107-99365.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181107-58356.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181108-77909.gif)
解得:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181108-23690.gif)
故椭圆的方程为:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181108-71847.gif)
(II)设直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181108-47755.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181109-10118.gif)
联立,得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181109-40920.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181109-43537.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181109-75074.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181109-37009.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181108-47755.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181110-96725.gif)
记
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181110-47736.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181110-10613.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181110-64554.gif)
垂直平分线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181111-76388.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181111-71099.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181111-91258.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181111-39756.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181112-74101.gif)
解析
核心考点
试题【已知椭圆C:的左焦点为(-1,0),离心率为,过点的直线与椭圆C交于两点.(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】;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
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 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181034-32619.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181034-48119.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181034-81374.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181025-80886.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181026-70606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181026-29677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181026-58515.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181026-38899.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023181020-20300.png)
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