已知双曲线C:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231426650791371/SYS201311012314266507913021_ST/0.png)
=1(a>0,b>0)的离心率为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231426650791371/SYS201311012314266507913021_ST/1.png)
,右准线方程为x=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231426650791371/SYS201311012314266507913021_ST/2.png)
(I)求双曲线C的方程;
(Ⅱ)设直线l是圆O:x
2+y
2=2上动点P(x
,y
)(x
y
≠0)处的切线,l与双曲线C交于不同的两点A,B,证明∠AOB的大小为定值.
考点分析:
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