在空间四边形ABCD的边AB、BC、CD、DA上分别取E、F、G、H四点,如果EF与HG

在空间四边形ABCD的边AB、BC、CD、DA上分别取E、F、G、H四点,如果EF与HG交于点M,则…(    )

A.M一定在直线AC上

B.M一定在直线BD上

C.M可能在AC上,也可能在BD上

D.M不在AC上,也不在BD上

答案

思路解析

:因为E、F、G、H是空间四边形ABCD的边AB、BC、CD、DA上的四点,EF与HG交于点M,所以M为面ABC与面ACD的公共点,而两个面的交线为AC,所以M一定在直线AC上,所以选A.

答案

:A

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