已知圆\(C_{1}\)：\(x^{2}+(y-2)^{2}=4\)，抛物线\(C_{2}\)：\(y^{2}=2px(p > 0)\)，\(C_{1}\)与\(C_{2}\)相交于\(A.B\)两点，且\(|AB|=\dfrac{8\sqrt{5}}{5}\)，则抛物线\(C

已知圆\(C_{1}\)：\(x^{2}+(y-2)^{2}=4\)，抛物线\(C_{2}\)：\(y^{2}=2px(p > 0)\)，\(C_{1}\)与\(C_{2}\)相交于\(A.B\)两点，且\(|AB|=\dfrac{8\sqrt{5}}{5}\)，则抛物线\(C_{2}\)的方程为

A．\({{y}^{2}}=\dfrac{8}{5}x\)

B．\({{y}^{2}}=\dfrac{16}{5}x\)

C．\({{y}^{2}}=\dfrac{32}{5}x\)

D．\({{y}^{2}}=\dfrac{64}{5}x\)

【考点】圆的弦有关的综合问题,抛物线的概念及标准方程

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难度：较难