题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015151-35845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015151-47449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015151-62258.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015151-13787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015152-54168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015152-31294.png)
A.[3- ![]() ![]() | B.[3+ ![]() ![]() |
C.[![]() ![]() | D.[![]() ![]() |
答案
解析
试题分析: 因为F(-2,0)是已知双曲线的左焦点,所以a2+1=4,即a2=3,所以双曲线方程为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015153-16623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015153-33373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015153-76539.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015153-90673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015153-76539.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015153-70879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015154-43058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015154-43058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015154-71700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015153-90673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015154-47014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015154-78071.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015153-76539.png)
所以当x0=
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015153-76539.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015154-43058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015154-71700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015154-43058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015154-71700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015154-57821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015154-43058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015154-71700.png)
的取值范围是[
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015155-64014.png)
点评:解决该试题的关键是先根据双曲线的焦点和方程中的b求得a,则双曲线的方程可得,设出点P,代入双曲线方程求得y0的表达式,根据P,F,O的坐标表示出
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015155-13048.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015152-31294.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015152-31294.png)
核心考点
试题【若点和点分别为双曲线()的中心和左焦点,点为双曲线右支上的任意一点,则的取值范围为( )A.[3- , )B.[3+ , )C.[, )D.[, )】;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
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015140-15414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015141-81010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015141-76682.png)
四个顶点,
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015141-95077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015141-71568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015141-28670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015142-90554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015142-77060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015142-90554.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015142-52938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015136-75447.png)
(1)求实数k的取值范围;
(2)若以AB为直径的圆过坐标原点,求k的值.
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015131-94607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015131-66284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015132-93908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015132-56109.png)
A.![]() | B.![]() | C.12 | D.5 |
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015125-75644.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191026/20191026015125-56628.png)
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