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Gaokao Math Practice Question

在长方体 $A B C D-A_{1} B_{1} C_{1} D_{1}$ 中, 已知 $B_{1} D$ 与平面 $A B C D$ 和平面 $A A_{1} B_{1} B$ 所成的角均为 $30^{\circ}$ ,则 ($\qquad$)

  1. A.$A B=2 A D$
  2. B.$A B $ 与平面 $A B_{1} C_{1} D$ 所成的角为 $30^{\circ}$
  3. C.$A C=C B_{1}$
  4. D.$B_{1} D$ 与平面 $B B_{1} C_{1} C$ 所成的角为 $45^{\circ}$

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