已知三角形ABC的三个顶点的坐标分别为A(1,0),B(2,3),C(-1,2),试求:以A,B,C为三个顶点的平行四边形的第四个顶点E的坐标<答案:(0,5)或(4,1)或(-2,-1),想请教一下后面两种情况的解法>

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设: E(x,y)若E与A对角: (x+1)/2 = [2+(-1)]/2, (y+0)/2 = (3+2)/2, == x=0, y=5若E与B对角: (x+2)/2 = [1+(-1)]/2, (y+3)/2 = (0+2)/2, == x=-2,y=-1若E与C对角: [x+(-1)]/2 = (1+2)/2, (y+2)/2 = (0+3)/2, == x=4,y=1因此, E点坐标为: (0,5),或(-2,-1),或(4,1)