如图,等腰直角三角形 ABC 的斜边 AB 在 轴上,原点 O 为 AB 的中点, , D 是 OC 的中点.以 A 、 B 为焦点的椭圆 E 经过点 D . (1)求椭圆 E 的方程; (2)过点 C 的直线 与椭圆 E 相交于不同的两点 M 、 N ,点 M 在点 C 、 N 之间,且 ,求 的取值范围.
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