配套习题- 线线、线面、面面垂直的知识（二） -【青果学院】

1/4单选题

难度：

1.

过两点与一个已知平面垂直的平面(　　)

A	有且只有一个
B	有无数个
C	有且只有一个或无数个
D	可能不存在

正确答案：Qw==

PHA+6Kej5p6Q77ya5b2T5Lik54K56L+e57q/5LiO5bmz6Z2i5Z6C55u05pe277yM5pyJ5peg5pWw5Liq5bmz6Z2i5LiO5bey55+l5bmz6Z2i5Z6C55u077yM5b2T5Lik54K56L+e57q/5LiO5bmz6Z2i5LiN5Z6C55u05pe277yM5pyJ5LiU5Y+q5pyJ5LiA5Liq5bmz6Z2i5LiO5bey55+l5bmz6Z2i5Z6C55u0Ljxicj48L3A+

2/4单选题

难度：

2.

如图所示，PA⊥平面ABC，△ABC中BC⊥AC，则图中直角三角形的个数为(　　)

A	4
B	3
C	2
D	1

正确答案：QQ==

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

3/4单选题

难度：

3.

设有直线M、n和平面α、β，则下列结论中正确的是(　　)

①若M∥n，n⊥β，M⊂α，则α⊥β；
②若M⊥n，α∩β＝M，n⊂α，则α⊥β；
③若M⊥α，n⊥β，M⊥n，则α⊥β

A	①②
B	①③
C	②③
D	①②③

正确答案：Qg==

PHA+6Kej5p6Q77ya4pGh6ZSZ77yM5b2T5Lik5bmz6Z2i5LiN5Z6C55u05pe277yM5Zyo5LiA5Liq5bmz6Z2i5YaF5Y+v5Lul5om+5Yiw5peg5pWw5p2h55u057q/5LiO5Lik5Liq5bmz6Z2i55qE5Lqk57q/5Z6C55u0PC9wPg==

4/4单选题

难度：

4.

PA垂直于以AB为直径的圆所在平面，C为圆上异于A，B的任一点，则下列关系不正确的是(　　)

A	PA⊥BC
B	BC⊥平面PAC
C	AC⊥PB
D	PC⊥BC

正确答案：Qw==

PHA+6Kej5p6Q77ya55SxUEHiiqXlubPpnaJBQkPvvIzlvpdQQeKKpUJD77yMPGk+QTwvaT7mraPnoa7vvJs8YnI+5Y+IQkPiiqVBQ++8jOKItEJD4oql6Z2iUEFD77yM4oi0QkPiiqVQQ++8jDxpPkI8L2k+44CBPGk+RDwvaT7lnYfmraPnoa7vvI48YnI+4oi06YCJPGk+QzwvaT7vvI48YnI+PC9wPg==