设$$\alpha \in \left( \frac{ \pi }{4}，\frac{ \pi }{2} \right)$$，则$${{\left( \cos \alpha \right)}^{\cos \alpha }}$$，$${{\left( \sin \alpha \right)}^{\cos \alpha }}$$，$${{\left( \cos \alpha \right)}^{\sin \alpha }}$$的大小顺序是（~ ~ ）．
选项为:A:$${{\left( \cos \alpha \right)}^{\cos \alpha }} ~\textless{} ~{{\left( \sin \alpha \right)}^{\cos \alpha }} ~\textless{} ~{{\left( \cos \alpha \right)}^{\sin \alpha }}$$；  B:$${{\left( \cos \alpha \right)}^{\cos \alpha }} ~\textless{} ~{{\left( \cos \alpha \right)}^{\sin \alpha }} ~\textless{} ~{{\left( \sin \alpha \right)}^{\cos \alpha }}$$；  C:$${{\left( \sin \alpha \right)}^{\cos \alpha }} ~\textless{} ~{{\left( \cos \alpha \right)}^{\cos \alpha }} ~\textless{} ~{{\left( \cos \alpha \right)}^{\sin \alpha }}$$；  D:$${{\left( \cos \alpha \right)}^{\sin \alpha }} ~\textless{} ~{{\left( \cos \alpha \right)}^{\cos \alpha }} ~\textless{} ~{{\left( \sin \alpha \right)}^{\cos \alpha }}$$．  请回答其中一个选项.