题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023827-86667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023827-91394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023827-49061.png)
(1)求双曲线的方程
(2)若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023828-96449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023828-15087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023828-71918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023828-10092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023829-81119.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023829-52187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023829-33098.png)
解析
试题分析:(1)依题意先设双曲线的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023829-99700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023829-15475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023830-11499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023830-53702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023830-14363.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023830-45822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023831-69777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023831-28204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023831-40838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023831-55605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023831-95856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023832-35045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023832-48830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023832-48830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023832-81122.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023832-80971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023833-58541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023833-38944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023829-81119.png)
试题解析:(1)依题意可设双曲线的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023829-99700.png)
则有
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023833-30859.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023833-93007.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023833-91048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023834-65585.png)
所以该双曲线的方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023829-52187.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023834-79675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023834-82443.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023834-14647.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023830-45822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023835-76125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023835-87530.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023835-76566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023835-76217.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023835-68650.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023836-28753.png)
综上:
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023829-33098.png)
核心考点
试题【已知中心在原点的双曲线的右焦点为,实轴长.(1)求双曲线的方程(2)若直线与双曲线恒有两个不同的交点,且为锐角(其中为原点),求的取值范围.】;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/20191024/20191024023821-58265.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023817-59327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023807-65074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023807-31923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023807-68477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023807-31639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023808-16822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023808-65458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023808-33555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023808-56166.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023808-44680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023807-31639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023809-78985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023809-59917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023809-13537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023809-86049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023810-61937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023810-85009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023807-31639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023810-10061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023807-31639.png)
其中真命题的序号为 (写出所有真命题的序号).
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023800-89351.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023800-14046.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023756-44408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191024/20191024023756-60642.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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