空间距离
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空间距离. 空间距离. 点到平面的距离. 直线到平面的距离. 平面到平面的距离. 异面直线的距离. 例题. 如图,在正方体 ABCD-A 1 B 1 C 1 D 1 中,棱长为 1 ,. ( 1 ) 求 B 1 到面 A 1 BC 1 的距离;. 例题. 如图,在正方体 ABCD-A 1 B 1 C 1 D 1 中,棱长为 1 , E 为 D 1 C 1 的中点,. ( 2 ) 求 B 1 到面 A 1 BE 的距离;. 例题. 如图,在正方体 ABCD-A 1 B 1 C 1 D 1 中,棱长为 1 , E 为 D 1 C 1 的中点,.

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空间距离

点到平面的距离

直线到平面的距离

平面到平面的距离

异面直线的距离


例题

如图,在正方体ABCD-A1B1C1D1中,棱长为1,

(1) 求B1到面A1BC1的距离;


例题

如图,在正方体ABCD-A1B1C1D1中,棱长为1,E为D1C1的中点,

(2) 求B1到面A1BE的距离;


例题

如图,在正方体ABCD-A1B1C1D1中,棱长为1,E为D1C1的中点,

(2) 求B1到面A1BE的距离;

G

O

H

F




例题

如图,在正方体ABCD-A1B1C1D1中,棱长为1

(3) 求异面直线A1D1与BC1的距离.


例题

如图,在正方体ABCD-A1B1C1D1中,棱长为1

(4) 求异面直线D1B1与BC1的距离.


例题

如图,在正方体ABCD-A1B1C1D1中,棱长为1

(4) 求异面直线D1B1与BC1的距离.

E

G

F


练习

如图,已知四边形ABCD、EADM和MDCF都是边长为a的正方形,点P、Q分别是ED和AC的中点.

求 P点到平面EFB的距离;


练习

如图在直三棱柱ABC-A1B1C1中,

AC=BC=AB=1, AA1=

z

求B1到平面A1BC的距离。

C1

A1

B1

C

M

A

B

x

y


练习

已知正方形ABCD的边长为4,CG⊥平面ABCD,CG=2,E、F分别是AB、AD的中点,求点B到平面GEF的距离。

z

G

x

D

C

F

A

B

E

y