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过点A(0,a)作直线与圆E:(x-2)2+y2=1交于B、C两点,在BC上取满足条件BP∶PC=AB∶AC的点P.
(1)求P点的轨迹方程;
(2)设所求的轨迹与圆E交于M、N两点,求△EMN(E为圆心)面积的最大值.