已知正方形OABC的面积为4,点O是坐标原点,点A在x轴上,点C在y轴上,点B在函数 y= k x (x>0,k>0) 的图象上,点P(m,n)是函数 y= k x (x>0,k>0) 的图象上任意一点.过点P分别作x轴、y轴的垂线,垂足分别为E、F.若设矩形OEPF和正方形OABC不重合部分的面积为S. (1)求B点的坐标和k的值; (2)当 S= 8 3 时,求点P的坐标; (3)写出S关于m的函数关系式.
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