已知 $\stackrel{\rightharpoonup }{a},\stackrel{\rightharpoonup }{b}$是单位向量， $\stackrel{\rightharpoonup }{a}·\stackrel{\rightharpoonup }{b}=0$.若向量 $\stackrel{\rightharpoonup }{c}$满足 $\left|\stackrel{\rightharpoonup }{c}-\stackrel{\rightharpoonup }{a}-\stackrel{\rightharpoonup }{b}\right|=1,则\left|\stackrel{\rightharpoonup }{c}\right|\mathrm{的取值范围是}$（）

A．	$\left[\sqrt{2}-1,\sqrt{2}+1\right]$	B．	$\left[\sqrt{2}-1,\sqrt{2}+2\right]$
C．	$\left[1,\sqrt{2}+1\right]$	D．	$\left[1,\sqrt{2}+2\right]$