已知集合 $A=\left\{x|x-1\ge 0\right\}$ ， $B=\left\{0\hspace{0.33em}，\mathit{\hspace{0.33em}\hspace{0.33em}}1\hspace{0.33em}，\mathit{\hspace{0.33em}\hspace{0.33em}}2\right\}$ ，则 $A\cap B=$ (   )

A．

$\left\{0\right\}$

B．

$\left\{1\right\}$

C．

$\left\{1\hspace{0.33em}，\mathit{\hspace{0.33em}\hspace{0.33em}}2\right\}$

D．

$\left\{0\hspace{0.33em}，\mathit{\hspace{0.33em}\hspace{0.33em}}1\hspace{0.33em}，\mathit{\hspace{0.33em}\hspace{0.33em}}2\right\}$