已知中心在原点的双曲线C的右焦点为(2,0),右顶点为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864246433/SYS201311012228108642464021_ST/0.png)
(1)求双曲线C的方程;
(2)若直线
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864246433/SYS201311012228108642464021_ST/1.png)
与双曲线C恒有两个不同的交点A和B,且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864246433/SYS201311012228108642464021_ST/2.png)
(其中O为原点).求k的取值范围.
考点分析:
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864246433/SYS201311012228108642464017_ST/0.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864246433/SYS201311012228108642464017_ST/3.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101222810864246433/SYS201311012228108642464017_ST/4.png)
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