题目
题型:不详难度:来源:
已知椭圆C的左、右焦点坐标分别是
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184929-92607.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184929-95214.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184929-13940.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184930-49418.gif)
(1)求椭圆C的方程;
(2)若圆P经过原点,求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184930-46086.gif)
(3)设Q(x,y)是圆P上的动点,当t变化时,求y的最大值。
答案
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184930-54108.jpg)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184930-27003.jpg)
(3)2
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184931-35497.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184931-42859.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184931-47858.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184931-56986.jpg)
核心考点
试题【(本小题满分12分)已知椭圆C的左、右焦点坐标分别是,,离心率是,直线椭圆C交与不同的两点M,N,以线段MN为直径作圆P,圆心为P。(1)求椭圆C的方程;(2)】;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
(本小题满分
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184917-74186.gif)
已知椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184917-68197.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184918-36856.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184918-62629.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184918-17896.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184918-11559.gif)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184917-68197.gif)
(2)对于
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184918-62549.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184919-83394.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184917-68197.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184919-86210.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184919-27089.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184919-49859.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184911-27718.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184912-67916.gif)
的交点为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184912-80123.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184912-98978.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184912-56116.gif)
线的离心率的倒数和为
A.2![]() | B.![]() | C.2 | D.1 |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184913-61591.gif)
已知椭圆方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184900-30774.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184900-59700.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184900-81635.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184901-67318.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184901-74538.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184901-74538.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184901-56329.gif)
(1)求满足条件的椭圆方程和抛物线方程;
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184901-61979.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184901-61979.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184901-58762.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184901-73146.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184901-50633.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184901-73146.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184902-95215.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184902-26518.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184902-95215.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184854-97242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184854-21609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184854-38473.png)
A.3 | B.6 | C.9 | D.12 |
如图,椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184838-17823.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184838-79963.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184839-58663.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184839-70194.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184839-83154.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184839-90160.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184839-83154.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184839-27697.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184840-25297.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184840-15174.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184840-72506.gif)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184840-67584.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184840-33031.gif)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184839-83154.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184841-98562.gif)
(3)当直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184840-25297.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184839-58663.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184841-73990.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184841-67452.gif)
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