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Gaokao Math Practice Question

11. (5 分) $\triangle A B C$ 的内角 $A, B, C$ 的对边分别为 $a, b, c$, 已知 $\sin B+\sin A$ ( $\sin C-\cos C)=0, a=2, \quad c=\sqrt{2}$, 则 $C=(\quad)$

  1. A.$\frac{\pi}{12}$
  2. B.$\frac{\pi}{6}$
  3. C.$\frac{\pi}{4}$
  4. D.$\frac{\pi}{3}$

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