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题目设椭圆E:x~2/a~2+y~2/b~2=1(a,b>0)过M(2,2~(1/2)),N(6~(1/2),1),O为坐标原点。(1)求椭圆E的方程; (2)是否存在圆心在原点的圆,使得该圆的任意一条切线与椭圆E恒有两个交点A,B,且
The subject is to set the ellipses E: 2 ~ 2 / a ~ 2 + y ~ 2 / b ~ 2 = 1 (a, b> 0) 2), 1), O is the coordinate origin. (1) Find the equation of ellipse E; (2) Whether there is a circle whose center is at the origin, so that any tangent of the circle has two points of intersection A, B with E