复数z=a+bi(a、b∈R),在复平面上对应的点为Z(a,b),点Z(a,b)在复平面上有下面的规律:1.左右平移:z+c=(a+bi)+c=(a+c)+bi当c>0时,点Z(a,b)向右平移c个单位,得到点Z’(a+c,b);当c<0时,点Z(a,b)向左平移|c|个单位,得到点Z’(a+c,b).2.上下平移:z+di=(a+bi)+di=a+(b+d)i当d>0时,点Z(a,b)向上平移d个单位,得到点Z’(a,b+d);当d<0时,点Z(a,b)向下平移|d|个单位,得到点Z’(a,b+d)。 Complex number z = a + bi (a, b ∈ R), the corresponding point in the complex plane Z (a, b), point Z (a, b) in the complex plane has the following laws: 1. Left and right translation: z+c=(a+bi)+c=(a+c)+bi When c>0, the point Z(a,b) is translated c units to the right to get the point Z’(a+c,b) When c<0, the point Z(a,b) is shifted to the left by |c| units to get the point Z’(a+c,b).2. Up and down panning: z+di=(a+bi)+ Di=a+(b+d)i When d>0, point Z(a,b) is translated by d units upwards to get point Z’(a,b+d); when d<0, point Z(a) b) Pan down |d| units to get point Z’(a,b+d).