题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185849-39661.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185850-83372.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185850-33985.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185849-39661.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185850-82177.gif)
(Ⅰ)若椭圆的离心率
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185850-15872.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185850-11070.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185851-35468.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185851-66799.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185851-15796.gif)
(Ⅱ)直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185850-11070.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185851-79508.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185852-35188.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185851-15796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185852-70522.gif)
答案
(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185852-36353.gif)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185852-96918.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185852-74038.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185853-28824.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185853-84696.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185853-35916.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185853-69632.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185854-11563.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185854-41723.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185854-15268.gif)
∴椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185851-15796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185852-36353.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185854-59320.gif)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185855-76434.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185855-87987.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185855-72156.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185855-63068.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185856-27642.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185856-69545.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185856-25891.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185856-15735.gif)
∵点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185852-35188.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185851-15796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185852-35188.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185856-99206.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185857-99264.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185857-39720.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185857-81384.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185852-96918.gif)
核心考点
试题【椭圆的方程为,斜率为1的直线与椭圆交于两点.(Ⅰ)若椭圆的离心率,直线过点,且,求椭圆的方程;(Ⅱ)直线过椭圆的右焦点F,设向量,若点在椭圆上,求的取值范围.】;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/20191023/20191023185846-61756.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185846-53741.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185836-96009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185836-53935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185837-25961.png)
A.![]() | B.![]() | C.1 | D.![]() |
已知椭圆焦点是
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185828-78460.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185828-83658.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185829-60153.gif)
(1)求椭圆的标准方程;
(2)设点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185829-28921.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185829-62164.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185829-30744.gif)
已知方向向量为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185824-63930.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185824-94230.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185825-74950.gif)
求椭圆C的方程;
若已知点D(3,0),点M,N是椭圆C上不重合的两点,且
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185825-64847.gif)
求实数
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185825-61458.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185818-81543.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185818-16575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185818-97817.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185818-21888.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023185819-27831.png)
A.2 | B.![]() | C.![]() | D.![]() |
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