设z=x+yi(x,y∈R),由|z+3i|+|z-3i|=6,得|x+(y+3)i|+|x+(y-3)i|=6,所以 x2+(y+3)2 + x2+(y?3)2 =6,即点(x,y)到两点(0,-3)和(0,3)的距离和为6,所以复数z在复平面上对应点的轨迹为线段,故选A.