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空间距离

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

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  1. 空间距离

  2. 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

  3. 例题 如图,在正方体ABCD-A1B1C1D1中,棱长为1, (1) 求B1到面A1BC1的距离;

  4. 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;

  5. 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

  6. 直线到平面的距离 l

  7. 平面到平面的距离

  8. 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.

  9. 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.

  10. 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

  11. 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;

  12. 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

  13. 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

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