题目
题型:不详难度:来源:
已知椭圆G与双曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030138-56722.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030138-18048.gif)
(1)求椭圆G的方程;
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030139-33791.gif)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030139-21661.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030139-51535.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030139-51535.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030139-78049.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030139-27206.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030140-91199.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030138-56722.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030140-63007.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030140-85573.gif)
设椭圆的长轴长为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030140-88935.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030140-57270.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030141-84763.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030141-76928.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030141-91245.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030141-16622.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030141-52453.gif)
(2)如图,设
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030139-27206.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030142-58771.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030142-50391.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030139-27206.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030142-85908.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030142-85063.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030142-37513.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030142-76057.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030143-58765.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030143-90144.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030142-58771.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030139-27206.gif)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030143-29100.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030143-69458.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030143-85764.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030143-51429.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030144-61597.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030144-40989.gif)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030144-98152.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030144-69645.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030144-64780.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030145-19813.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030145-21181.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030145-42830.gif)
有
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030145-37020.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030145-12381.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030145-95837.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030145-21181.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030146-22593.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030146-91317.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030146-53108.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030146-97357.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030146-68245.gif)
即当
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030146-44353.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030147-13979.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030147-20699.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030147-93125.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030147-54371.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030147-96607.gif)
∴存在直线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030148-78188.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030139-27206.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030147-96607.gif)
解析
核心考点
试题【(本小题满分14分)已知椭圆G与双曲线有相同的焦点,且过点.(1)求椭圆G的方程;(2)设、是椭圆G的左焦点和右焦点,过的直线与椭圆G相交于A、B两点,请问的内】;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/20191026/20191026030130-92486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030131-86701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030131-81376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030131-26876.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030131-36024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030132-15135.png)
焦点的椭圆过点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030132-21697.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030132-43072.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030132-83783.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030132-43028.png)
A.![]() ![]() | B.函数![]() |
C.函数![]() | D.函数![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030120-80793.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030121-72846.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030121-49259.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030121-95179.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030121-35307.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030121-34683.gif)
(Ⅰ)求切点
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030121-34683.gif)
(Ⅱ)若离心率为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030121-45830.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030121-40306.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030121-34683.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030121-35307.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030122-22849.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030122-69913.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030122-31886.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030122-91953.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030122-72842.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030114-17266.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030115-74009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030115-53978.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030109-86020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030109-39629.png)
A.![]() | B.1 | C.2 | D.4 |
已知抛物线
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030101-56176.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030102-70559.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030102-89766.gif)
(2)若对任意
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030102-15999.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030102-17720.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026030102-37319.gif)
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