题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184651-51682.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184652-33920.gif)
(1)若M是该椭圆上的一个动点,求
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184652-64332.gif)
(2)设过定点(0,2)的直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184652-72983.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184652-36537.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184652-61307.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184652-72983.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184653-16510.gif)
答案
(1)由条件知道两焦点坐标为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184653-76923.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184653-11901.gif)
设M(x,y),
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184654-61794.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184654-60971.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184654-73937.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184654-88907.gif)
点M在椭圆上,故有
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184655-49069.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184652-64332.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184655-40524.gif)
(2)令直线
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184652-72983.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184655-57066.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184655-99118.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184656-14830.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184656-89552.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184656-41705.gif)
曲
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184656-21626.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184657-70589.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184657-96679.gif)
由于
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184652-36537.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184657-30687.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184657-99729.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184658-81201.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184658-28186.gif)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184658-60131.gif)
综上,
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184658-60131.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184658-26516.gif)
解析
核心考点
试题【设分别是椭圆的左右焦点.(1)若M是该椭圆上的一个动点,求的最大值和最小值;(2)设过定点(0,2)的直线与椭圆交于不同的两点A、B,且为钝角,(其中O为坐标原】;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/20191023/20191023184646-25085.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184646-47054.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184646-59320.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184646-91173.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184627-68145.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184627-60396.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184628-26098.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184628-18689.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184628-96555.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184628-81582.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184628-41400.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184629-10174.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184628-96555.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184629-55397.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184627-60396.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184628-96555.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184629-81108.gif)
(1)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184629-42914.gif)
(2)确定
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184630-79550.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184630-46451.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184623-81394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184623-80562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184623-52517.png)
A、
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184623-52017.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184624-35417.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184624-75927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184624-40861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184619-43200.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184619-60461.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184620-85935.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184620-15972.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184620-40434.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184619-43200.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184605-49343.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184605-51967.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184605-17173.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184606-10858.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184606-73870.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184606-65457.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184606-17148.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184607-22963.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184607-92895.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184607-79681.gif)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184606-73870.gif)
(2) 设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184607-72098.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184606-73870.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184607-72098.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184608-86809.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184608-72188.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184608-82811.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184609-12929.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184609-42033.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184609-50099.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023184608-86809.gif)
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