(1)建立如图所示的空间直角坐标系,则O(0,0,0),B(0,2,0),D(0,0,2),E(0,1,2),P(0,0,4),F(x,y,0).∴ DE =(0,1,0), EF =(x,y?1,?2), BD =(0,?2,2).∵ DE ⊥ EF ,∴ DE ? EF =y-1=0,解得y=1.又∵| OF |=2,