若$$\triangle ABC$$的内角$$A$$，$$B$$，$$C$$所对的边$$a$$，$$b$$，$$c$$成等比数列，则$$\frac{\sin A\cot C+\cos A}{\sin B\cot C+\cos B}$$的取值范围是（~ ~ ）．
选项为:A:$$\left( 0,+\infty \right)$$  B:$$\left( 0,\frac{\sqrt{5}+1}{2} \right)$$  C:$$\left( \frac{\sqrt{5}-1}{2},\frac{\sqrt{5}+1}{2} \right)$$  D:$$\left( \frac{\sqrt{5}-1}{2},+\infty \right)$$  请回答其中一个选项.