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题目:如图,椭圆x~2/a~2+y~2+b~2=1(a>b>0)的一个焦点是F(1,0),O为坐标原点.(Ⅰ)已知椭圆短轴的两个三等分点与一个焦点构成正三角形,求椭圆的方程;(Ⅱ)设过点F的直线
Topic: As shown in the figure, one focus of the ellipse x~2/a~2+y~2+b~2=1 (a>b>0) is F(1,0), and O is the origin of coordinates. (I) has been Know that the two bisectors of the minor axis of the ellipse form a regular triangle with a focal point and find the equation for the ellipse; (II) Straight line passing through point F