题目
题型:不详难度:来源:
已知椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050903-41682.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050903-68015.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050903-40895.gif)
(1)求椭圆C的方程;(2)已知直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050903-83549.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050903-37342.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050903-43912.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050903-31545.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050904-63535.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050904-53901.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050904-12796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050904-91805.gif)
曲线过
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050903-40895.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050904-53275.gif)
由①②解得
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050904-51513.gif)
则椭圆方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050903-31545.gif)
(2)联立方程
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050904-89004.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050904-30956.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050905-30857.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050905-78264.gif)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050905-61072.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050905-32196.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050905-48289.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050906-14431.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050906-27305.gif)
又∵
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050906-14431.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050903-37342.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050906-56092.gif)
解得,
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050906-19036.gif)
由③④得:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050904-63535.gif)
核心考点
试题【(本小题满分14分)已知椭圆的离心率为,且曲线过点(1)求椭圆C的方程;(2)已知直线与椭圆C交于不同的两点A,B,且线段AB的中点不在圆内,求的取值范围.】;主要考察你对曲线与方程的应用等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050854-46351.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050855-23748.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050855-75694.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050855-78157.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050855-61759.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050855-35138.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050856-23342.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050856-52682.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050856-83122.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050856-81544.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050857-89597.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050841-16002.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050841-54009.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050841-92974.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050841-28332.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050841-28332.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050841-28332.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050841-90982.gif)
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![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050842-69289.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050842-87931.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050842-79822.gif)
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![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050843-53659.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050844-77480.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050844-76976.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050843-53659.gif)
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A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026050830-62872.gif)
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