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若 $\alpha \in\left(0, \frac{\pi}{2}\right), \tan 2 \alpha=\frac{\cos \alpha}{2-\sin \alpha}$ ,则 $\tan \alpha=$
A. $\frac{\sqrt{15}}{15}$     B. $\frac{\sqrt{5}}{5}$     C. $\frac{\sqrt{5}}{3}$     D. $\frac{\sqrt{15}}{3}$         
不再提醒