在平面直角坐标系xOy中,已知⊙M经过点F
1(0,-c),F
2(0,c),A(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230942018489221/SYS201311012309420184892017_ST/0.png)
c,0)三点,其中c>0.
(1)求⊙M的标准方程(用含c的式子表示);
(2)已知椭圆
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230942018489221/SYS201311012309420184892017_ST/1.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101230942018489221/SYS201311012309420184892017_ST/2.png)
=1(a>b>0)(其中a
2-b
2=c
2)的左、右顶点分别为D、B,⊙M与x轴的两个交点分别为A、C,且A点在B点右侧,C点在D点右侧,求椭圆离心率的取值范围.
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