(1)折叠后使点B与点A重合,设C点的纵坐标为Y,由勾股定理得4+Y^2=(4-Y)^2,解得Y=3/2,所以点C的坐标为(0,3/2).
(2)折叠后点B落在边OA上的点为B′,设OB′=x,OC=y,由勾股定理得x^2+y^2=(4-y)^2,整理得
y=-x^2/8+2,3/2
(1)折叠后使点B与点A重合,设C点的纵坐标为Y,由勾股定理得4+Y^2=(4-Y)^2,解得Y=3/2,所以点C的坐标为(0,3/2).
(2)折叠后点B落在边OA上的点为B′,设OB′=x,OC=y,由勾股定理得x^2+y^2=(4-y)^2,整理得
y=-x^2/8+2,3/2