题目
题型:不详难度:来源:
已知实轴长为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043605-24068.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043606-99342.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043606-33346.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043606-31193.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043606-49212.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043606-74159.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043606-46497.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043606-87398.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043606-81409.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043607-84752.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043607-69980.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043607-25918.gif)
(I)求双曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043606-74159.gif)
(II)若双曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043606-74159.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043607-98176.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043607-35309.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043607-58799.gif)
答案
解:(I)根据题意
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043607-10648.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043606-33346.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043607-25725.gif)
且
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043608-23636.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043608-79323.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043608-73827.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043608-37398.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043608-60775.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043608-11195.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043608-48319.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043606-33346.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043607-98176.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043608-26776.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043609-32144.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043606-33346.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043609-47875.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043609-99061.gif)
设直线MN的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043609-39505.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043609-93150.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043609-27541.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043609-53573.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043609-92492.gif)
显然
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043610-50887.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043610-74767.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043610-41705.gif)
设线段MN中点为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043610-25047.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043610-21265.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043610-29103.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043611-96456.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043611-96017.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043611-89084.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043611-22375.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043612-94194.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043612-24394.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043612-71174.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043612-94842.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043612-40119.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043613-84811.gif)
解析
核心考点
试题【(本小题满分12分)已知实轴长为,虚轴长为的双曲线的焦点在轴上,直线是双曲线的一条渐近线,且原点、点和点)使等式成立.(I)求双曲线的方程;(II)若双曲线上存】;主要考察你对双曲线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/20191024/20191024043556-98606.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043549-76142.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043550-20617.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043546-15835.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043537-40757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043537-73489.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043529-83507.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043530-17510.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043530-53143.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043530-77026.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024043530-17510.gif)
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