若平行四边形有三个顶点坐标为(0,0),(0,b),(a,c)(a、b

若平行四边形有三个顶点坐标为(0,0),(0,b),(a,c)(a、b、c≠0),则第四个顶点的坐标可能为(    )

A.(b

+2,2a)           B.(b-c,-a)或(b+c,2a)

C.(-a

,b-c)           D.(2a,b+c)或(-a,b-c)



答案

答案:C

解析:设A(0,0),B(0,b),C(a,c),D(x,y).则①:若=,则有(a,c)=(-x,b-y),∴故选C.

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