Question

在正方体ABCD—A1B1C1D1中，求AC1与B1D1所成的角（角度）

要详细的过程！急需！~~~

Answer 1

做辅助线，A1C1。∵A1B1C1D1是正方形∴B1D1⊥A1C1∵AA1⊥面A1B1C1D1 且B1D1∈面A1B1C1D1∴AA1⊥B1D1∵B1D1⊥AA1 B1D1⊥A1C1∴B1D1⊥面AA1C1又∵AC1∈面AA1C1∴B1D1⊥AC1∴AC1与B1D1所成的角度为90°

Answer 2

答：90° 证明：在正方形A1B1C1D1中有A1C1⊥B1D1又∵AA1⊥底面A1B1C1D1 ∴A1A⊥B1D1 综合两个可得B1D1⊥面AC1A 所以B1D1⊥AC1 所以它们之间所成的角是90°希望采纳！不懂的可以再问我！

Answer 3

异面垂直