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已知 $0 < \alpha < \pi, \cos \frac{\alpha}{2}=\frac{\sqrt{5}}{5}$ ,则 $\sin \left(\alpha-\frac{\pi}{4}\right)=$( )
A. $\frac{\sqrt{2}}{10}$     B. $\frac{\sqrt{2}}{5}$     C. $\frac{3 \sqrt{2}}{10}$     D. $\frac{7 \sqrt{2}}{10}$         
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