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2009年高考试题山东卷第22题是: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)两点,O为坐标原点。(Ⅰ)求椭圆E的方程;(Ⅱ)是否存在圆心在原点的圆,使该圆的任意一条切线与椭圆E恒有两个交点A,B且
The 2009 high examination question Shandong Volume 22 is: Let the ellipse E:x~2/a~2+y~2/b~2 =1(a,b>0) over M(2,2~(1/2 )), N (6 ~ (1/2), 1) two points, O is the origin of coordinates. (I) find the equation of the ellipse E; (II) if there is a circle whose center is at the origin, make any tangent of the circle and the ellipse E always have two intersections A, B and