题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021855-80028.png)
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![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021858-45285.png)
(1)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021857-75508.png)
(2)是否存在直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021857-24634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021858-68471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021857-24634.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021858-49287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021858-65517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021859-25617.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021859-61367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021859-26745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021859-11588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021859-96177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021858-68471.png)
解:(1)椭圆的顶点为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021859-61367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021859-26745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021859-11588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021859-96177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021900-35695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021858-49287.png)
(2)由题可知,直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021857-24634.png)
①当直线斜率不存在时,经检验不合题意. --------5分
②当直线斜率存在时,设存在直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021857-24634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021900-37636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021900-62655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021900-84442.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021900-37851.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021901-95426.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021901-46371.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021901-97483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021901-51647.png)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021902-40673.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021902-76967.png)
故直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021857-24634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021902-95439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021902-20702.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021858-65517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021859-25617.png)
核心考点
试题【设椭圆 :()的一个顶点为,,分别是椭圆的左、右焦点,离心率 ,过椭圆右焦点 的直线 与椭圆 交于 , 两点.(1)求椭圆的方程;(2)是否存在直线 ,使得 】;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/20191026/20191026021852-11800.png)
A.4 | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021847-37623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021847-61528.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021834-39172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021834-87180.png)
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![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021834-90129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021835-33332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021834-39172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021834-39172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021835-33944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021834-39172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021835-78617.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021835-25676.png)
(Ⅰ)求椭圆
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021834-39172.png)
(Ⅱ)过点P
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021835-50977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021835-87992.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021835-85833.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021835-85833.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021834-39172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021835-85833.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021834-39172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021836-14912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021836-71292.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021825-17828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021825-83719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021825-84892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021825-74338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021826-62655.png)
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![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026021827-26693.png)
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