椭圆中心在坐标原点,A(2,0),B(0,1)是他的两个顶点,直线Y=KX(K>0)与AB相交于点D,于椭圆相交于E、F两点.(1)若(向量ED)=6×(向量DF),求K的值(2)求四边形AEBF面积的最大值
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![椭圆中心在坐标原点,A(2,0),B(0,1)是他的两个顶点,直线Y=KX(K>0)与AB相交于点D,于椭圆相交于E、F两点.(1)若(向量ED)=6×(向量DF),求K的值(2)求四边形AEBF面积的最大值](/uploads/image/z/12966391-55-1.jpg?t=%E6%A4%AD%E5%9C%86%E4%B8%AD%E5%BF%83%E5%9C%A8%E5%9D%90%E6%A0%87%E5%8E%9F%E7%82%B9%2CA%EF%BC%882%2C0%EF%BC%89%2CB%EF%BC%880%2C1%EF%BC%89%E6%98%AF%E4%BB%96%E7%9A%84%E4%B8%A4%E4%B8%AA%E9%A1%B6%E7%82%B9%2C%E7%9B%B4%E7%BA%BFY%3DKX%EF%BC%88K%3E0%EF%BC%89%E4%B8%8EAB%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9D%2C%E4%BA%8E%E6%A4%AD%E5%9C%86%E7%9B%B8%E4%BA%A4%E4%BA%8EE%E3%80%81F%E4%B8%A4%E7%82%B9.%281%29%E8%8B%A5%EF%BC%88%E5%90%91%E9%87%8FED%EF%BC%89%3D6%C3%97%EF%BC%88%E5%90%91%E9%87%8FDF%EF%BC%89%2C%E6%B1%82K%E7%9A%84%E5%80%BC%282%29%E6%B1%82%E5%9B%9B%E8%BE%B9%E5%BD%A2AEBF%E9%9D%A2%E7%A7%AF%E7%9A%84%E6%9C%80%E5%A4%A7%E5%80%BC)
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