已知线段\(AB\)的端点\(B\)的坐标是\((2,3)\)，端点\(A\)在圆\({{(x+1)}^{2}}+{{y}^{2}}=4\)上运动，则线段\(AB\)的中点\(M\)的轨迹方程是

A．\({{\left( x-\dfrac{1}{2} \right)}^{2}}+{{\left( y-\dfrac{3}{2} \right)}^{2}}=1\)

B．\({{\left( x-\dfrac{3}{2} \right)}^{2}}+{{\left( y-\dfrac{3}{2} \right)}^{2}}=1\)

C．\({{\left( x+\dfrac{1}{2} \right)}^{2}}+{{\left( y+\dfrac{3}{2} \right)}^{2}}=1\)

D．\({{\left( x-\dfrac{1}{2} \right)}^{2}}+{{\left( y-\dfrac{3}{2} \right)}^{2}}=4\)

【考点】中点坐标公式,圆的标准方程,动点的轨迹方程

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难度：较易