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【简答题】
如图,正方形OABC的面积为16,点O为坐标原点,点B在函数y= (k>0,x>0)的图象上,点P(m, n)是函数y= (k>0,x>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,并设矩形OEPF和正方形OABC不重合部分的面积为S。 (1)求B点坐标和k的值; (2)当S= 8时,求点P的坐标; (3)写出S与m的函数关系式。
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