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1.点到点的距离;

2.点到线的距离;

3.点到平面的距离;

4.直线与直线的距离;

5.直线与平面的距离;

6.平面与平面的距离.

1.如图,ABCD是边长为4的正方形,

G

C

D

E

B

A

F

1.定义法:找出(作出)点到平面的垂线段;

2.转化法:转化为求线面间的距离;

3.法向量法:先确定平面的法向量,

4.等体积法:利用三棱锥调换底面后的体积相等.

2.在正方体AC1中,求A1B与B1D1的距离.

D1

C1

B1

A1

D

C

A

B

1.定义法:找出(或作出)公垂线段;

2.转化法:转化为求线面间的距离;

3.转化法:转化为求平行平面间的距离;

4.法向量法:先求两异面直线的公共法向量,再求两异面直线上两点的连结线段在公共法向量上的射影长;

5.函数法:求两异面直线的两点连线段的最小值.

3.如图,已知两条异面直线a,b所成的角为θ,E、F分别在直线a,b上,且A′E=m, AF=n,EF=l,求公垂线段AA′的长d．