首页/ 题库 / [单选题]在平面x+y+z-2=0和平面x+2y-的答案

在平面x+y+z-2=0和平面x+2y-z-1=0的交线上有一点M,它与平面x+2y+z+1=0和x+2y+z-3=0等距离,则M点的坐标为(  )。

单选题
2022-02-23 13:31
A、(2,0,0)
B、(0,0,-1)
C、(3,-1,0)
D、(0,1,1)
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正确答案
C

试题解析

本题若采用直接计算,较为复杂,耗费时间较长,而采用排除法则非常容易做出选择。A项中,经代入计算,可知点(2,0,0)不在平面x+2y-z-1=0上;同理,B项中,点(0,0,-1)不在平面x+y+z-2=0上;D项中,由点到平面的距离公式计算得知,点(0,1,1)与两平面距离不相等。

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