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Gaokao Math Practice Question

4. (5 分) $\triangle A B C$ 的内角 $A, B, C$ 的对边分别为 $a, b, c$, 已知 $b=2, B=\frac{\pi}{6}, C=$ $\frac{\pi}{4}$, 则 $\triangle A B C$ 的面积为 $(\quad)$

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

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