题目
题型:不详难度:来源:
(1)与双曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023620-30923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023620-37835.png)
(2)与双曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023621-77647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023621-52805.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023621-26481.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023621-55725.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023621-70803.png)
由题意,得
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023622-67180.png)
解得a2=
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023622-25639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023621-26481.png)
(2)设双曲线方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023621-70803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023622-95485.png)
又双曲线过点(3
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023621-52805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023622-39128.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023622-95485.png)
故所求双曲线的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023621-55725.png)
解法2:(1)设所求双曲线方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023620-30923.png)
将点(-3,2
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023620-37835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023623-49845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023620-30923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023623-49845.png)
(2)设双曲线方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023623-70350.png)
将点(3
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023621-52805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023621-55725.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023612-64873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023612-52221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023613-40444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023613-67551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023605-98672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023606-47360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023606-58629.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023555-50261.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023555-97203.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023556-25092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023556-11267.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023556-22492.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023556-89178.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023549-38620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023550-52004.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023545-23339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023545-14160.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023545-29116.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023545-18782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023546-20672.png)
A.2 | B.18 | C.2或18 | D.16 |
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