边长已知平行六面体ABCD-A1B1C1D1中,底面的为a的正方形,侧棱AA1为b,

问题描述:

边长已知平行六面体ABCD-A1B1C1D1中,底面的为a的正方形,侧棱AA1为b,

过A作AE⊥A1B1交A1B1于E、作AF⊥A1D1交A1D1于F,再作AO⊥平面A1B1C1D1交平面A1B1C1D1于O,连结EO、FO.∵AA1=AA1、∠AA1E=AA1F=60°、∠AEA1=∠AFA1=90°,∴AE=AF.∵O是A在平面A1B1C1D1上的射影,∴EO、FO分别是AE...