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Gaokao Math Practice Question

平面 $\alpha$ 过正方体 $A B C D-A_{1} B_{1} C_{1} D_{1}$ 的顶点 $A, \alpha / /$ 平面 $C B_{1} D_{1}, \alpha \cap$ 平 面 $A B C D=m, \alpha \cap$ 平面 $A B B_{1} A_{1}=n$, 则 $m$、 $n$ 所成角的正弦值为 ($\qquad$)

  1. A.$\frac{\sqrt{3}}{2}$
  2. B.$\frac{\sqrt{2}}{2}$
  3. C.$\frac{\sqrt{3}}{3}$
  4. D.$\frac{1}{3}$

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