题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153731-38020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153731-23921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153731-52950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153731-88050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153731-90917.png)
(1)求椭圆的方程;
(2)若坐标原点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153732-45771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153732-20191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153732-57804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153732-26371.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153733-12294.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153733-79162.png)
解析
试题分析:(1)由
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153733-64094.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153733-12294.png)
(2)由已知
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153733-83671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153731-88050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153733-12294.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153733-39354.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153734-17630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153734-97468.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153734-99285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153734-36367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153735-56183.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153735-10938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153735-23231.png)
显然
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153735-21718.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153736-32564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153736-87785.png)
点评:椭圆的概念和性质,仍将是今后命题的热点,定值、最值、范围问题将有所加强;利用直线、弦长、圆锥曲线三者的关系组成的各类试题是解析几何中长盛不衰的主题,其中求解与相交弦有关的综合题仍是今后命题的重点;与其它知识的交汇(如向量、不等式)命题将是今后高考命题的一个新的重点、热点.
核心考点
试题【已知椭圆的离心率为,短轴的一个端点到右焦点的距离为,直线交椭圆于不同的两点。(1)求椭圆的方程;(2)若坐标原点到直线的距离为,求面积的最大值。】;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/20191023/20191023153717-96398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153717-42400.png)
上顶点为
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153717-60948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153717-76176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153717-81151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153718-67828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153718-95335.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153718-26112.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153718-25579.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153718-60635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153718-91677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153718-60635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153718-76632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153718-25579.png)
(Ⅲ)在(Ⅱ)的条件下,过右焦点
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153718-11039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153719-88228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153719-99241.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153718-25579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153719-91032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153719-75726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153717-76176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153720-25184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153720-92235.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153652-49682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153652-58332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153652-20979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153652-78103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153652-20738.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153653-81103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153653-69231.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153653-84756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153653-71225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153654-51626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153654-12744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153654-74405.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153654-40069.png)
(1)求椭圆的方程;
(2)是否存在定点M、N,使得
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153655-99562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153647-87222.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153627-75714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153627-55145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153628-90662.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153623-19844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191023/20191023153623-11951.png)
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