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数学作业

A 1. D 1. N. C 1. B 1. M. A. D. A. C. 数学作业. 1 、 如图所示，在长方体 ABCD-A 1 B 1 C 1 D 1 中 ,AB=5,AD=8,AA1=4, M 为 B 1 C 1 上一点且 B 1 M=2 ，点 N 在线段 A 1 D 上， A 1 D⊥AN. （ 1 ）求 cos< >; （ 2 ）求直线 AD 与平面 ANM 所成角的余弦值； （ 3 ）求平面 ANM 与平面 ABCD 夹角的余弦值。. O 1. C 1. A 1. B 1. O. D.

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数学作业

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  1. A1 D1 N C1 B1 M A D A C 数学作业 1、如图所示，在长方体ABCD-A1B1C1D1中,AB=5,AD=8,AA1=4, M为B1C1上一点且B1M=2，点N在线段A1D上，A1D⊥AN. （1）求cos< >; （2）求直线AD与平面ANM所成角的余弦值； （3）求平面ANM与平面ABCD夹角的余弦值。

  2. O1 C1 A1 B1 O D E B A • 2、在长方体OABC-O1A1B1C1中，OA=2，AB=3，AA1=2，E是BC的中点。 • （1）求直线AO1与B1E所成角的余弦值； • （2）作O1D⊥AC于D，求点O与点D的距离。 C

  3. M F E P C Q B A 3、如图所示，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： （1） 和 所成的角； （2）P点到平面EFB的距离； （3）异面直线PM与FQ的距离。

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