已知椭圆C:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102747346433415/SYS201311031027473464334019_ST/0.png)
的右顶点A(2,0),离心率为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102747346433415/SYS201311031027473464334019_ST/1.png)
,O为坐标原点.
(Ⅰ)求椭圆C的方程;
(Ⅱ)已知P(异于点A)为椭圆C上一个动点,过O作线段AP的垂线l交椭圆C于点E,D,求
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103102747346433415/SYS201311031027473464334019_ST/2.png)
的取值范围.
考点分析:
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在x=1处取得极值.
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