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# 求空间距离问题 习题课 - PowerPoint PPT Presentation

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### 求空间距离问题习题课

1.距离定义

（1）点到直线距离

（2）点到平面的距离

（3）两平行直线间的距离

4）两条异面直线间的距离

（5）直线与平面的距离

（6）两平行平面间的距离

2.求距离的步骤

（1）找出或作出有关距离的图形

（2）证明它们符合定义

（3）在平面图形内进行计算

A

P

a

B

Q

N

cos600=cos(∠AQP +∠AQP)，由此可得关于x的方程

B

A

C

D

（1）P到CD的距离

（2）P到BD的距离

（4）求PC的中点到

O

E

(1)过P作CD的垂线，交CD的延长线于E，连AE

(2)连BD，交AC于O，连PO

D

C

E

A

B

F

K

O

H

C’

A’

B’

E

D

C

A

B

（1）求截面EAC的面积

（2）求异面直线A’B’与AC的距离