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# 垂直关系的性质 - PowerPoint PPT Presentation

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## PowerPoint Slideshow about '垂直关系的性质' - brita

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（A）3对（B）4对（C）5对（D）6对

1、PA⊥平面ABCD

4、BC⊥平面PAB

α

a

β

L

1、当平面α⊥平面β时，平面α里面的任意一条直线a和平面β之间会存在些什么样的位置关系？

2、平面α里哪些直线是垂直于平面β的

α

A

L

β

B

M

AM⊥β

∵α⊥β

∴∠AMB=90。

∴AM⊥BM

∴AM⊥β

1

：如图，平面

AED

⊥平面

ABCD

，⊿

AED

a

2

a

ABCD

,AB=

,

(1)

EA

CD

(2)

EC

ABCD

E

∴CD⊥平面AED

∵AE在平面AED内

∴CD⊥EA

D

C

∵平面AED⊥平面ABCD

B

M

∴EM⊥平面ABCD

A

∴∠AMC即为直线EC与平面ABCD所成的角

A

D

P

B

Q

C

∴DC⊥平面ABC

∵AB在面ABC内

∴DC⊥AB

AC∩CD=C，

∵AB⊥平面ACD

A

D

C

D

C

N

A

B

M

E

E

B

AB与β内两条相交直线垂直即可，引导学生找出在

β内适合题意的直线是解决本题的关键。

∵α⊥β，∴AB⊥BE．

∴AB⊥β．

1.

2. 已知

1、两个平面垂直的性质定理

2、“转化思想”