配套习题- 线线、线面、面面垂直的知识（一） -【青果学院】

1/5单选题

难度：

1.

一直线l与其外三点A，B，C可确定的平面个数是(　　)

A	1个
B	3个
C	1个或3个
D	1个或3个或4个

正确答案：RA==

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

2/5单选题

难度：

2.

已知直线和平面，则下列命题正确的是（）

A	若∥，，则∥
B	若∥，，则∥
C	若⊥，，则⊥
D	若⊥，⊥，则∥

正确答案：Qw==

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

3/5单选题

难度：

3.

已知两个平面垂直,下列命题:
(1) 一个平面内已知直线必垂直于另一个平面的任意直线.
(2) 一个平面内的已知直线必垂直于另一个平面的无数条直线.
(3) 一个平面内的任一条直线必垂直于另一个平面.
(4) 过一个平面内任意一点作交线的垂线,则此垂线必垂直于另一个平面.
其中正确命题的个数是（）

A	3
B	2
C	1
D	0

正确答案：Qw==

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

4/5单选题

难度：

4.

如图，在四面体D－ABC中，若AB＝CB，AD＝CD，E是AC的中点，则下列正确的是(　　)

A	平面ABC⊥平面ABD
B	平面ABD⊥平面BDC
C	平面ABC⊥平面BDE，且平面ADC⊥平面BDE
D	平面ABC⊥平面ADC，且平面ADC⊥平面BDE

正确答案：Qw==

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

5/5单选题

难度：

5.

已知直二面角，点为垂足，若（）

A	2
B
C
D	1

正确答案：Qw==

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