在平面直角坐标系中,对于平面内任意一点(x,y),若规定以下两种变换:
①f (x,y) = (x+2, y).② g(x,y) = (−x , −y), 例如按照以上变换有: f (1,1) = (3, 1); g( f (1,1) ) = g (3 , 1) = (−3,−1).如果有数a、b, 使得f ( g(a,b )) = (b,a ),则g( f (a+b , a−b) ) = .
在平面直角坐标系中,对于平面内任意一点(x,y),若规定以下两种变换:
①f (x,y) = (x+2, y).② g(x,y) = (−x , −y), 例如按照以上变换有: f (1,1) = (3, 1); g( f (1,1) ) = g (3 , 1) = (−3,−1).如果有数a、b, 使得f ( g(a,b )) = (b,a ),则g( f (a+b , a−b) ) = .
(−4,0)