其实不必取A1B1中点这么麻烦
有个更简单的:
∵A1B1⊥面AA1D1D,AD1在面AA1D1D内
∴A1B1⊥AD1
又∵AD1⊥A1D,A1B1,A1D在面A1BD内且相交
∴AD1⊥面A1B1D
∵DB1在面A1B1D内
∴AD1⊥DB1
所以DB1与AD1所成的角为90°.
其实不必取A1B1中点这么麻烦
有个更简单的:
∵A1B1⊥面AA1D1D,AD1在面AA1D1D内
∴A1B1⊥AD1
又∵AD1⊥A1D,A1B1,A1D在面A1BD内且相交
∴AD1⊥面A1B1D
∵DB1在面A1B1D内
∴AD1⊥DB1
所以DB1与AD1所成的角为90°.