动圆\(M\)与圆\({{C}_{1}}:{{\left( x+1 ight)}^{2}}+{{y}^{2}}=1\)外切，与圆\({{C}_{2}}:{{\left( x-1 ight)}^{2}}+{{y}^{2}}=25\)内切，则动圆圆心\(M\)的轨迹方程是()--优优班--学霸训练营

动圆\(M\)与圆\({{C}_{1}}:{{\left( x+1 \right)}^{2}}+{{y}^{2}}=1\)外切，与圆\({{C}_{2}}:{{\left( x-1 \right)}^{2}}+{{y}^{2}}=25\)内切，则动圆圆心\(M\)的轨迹方程是( )

A．\(\dfrac{{{x}^{2}}}{8}+\dfrac{{{y}^{2}}}{9}=1\)

B．\(\dfrac{{{x}^{2}}}{9}+\dfrac{{{y}^{2}}}{8}=1\)

C．\(\dfrac{{{x}^{2}}}{9}+{{y}^{2}}=1\)

D．\({{x}^{2}}+\dfrac{{{y}^{2}}}{9}=1\)

【考点】圆与圆的位置关系及判定,椭圆的概念及标准方程,动点的轨迹方程

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难度：易