过抛物线\({{y}^{2}}=4x\)的焦点\(F\)的直线交该抛物线于\(A,B(A\)在第一象限\()\) 两点，\(O\)为坐标原点， 若\(\Delta AOB\)的面积为\(2\sqrt{2}\)，则\(\dfrac{\left| AF \right|}{\left| BF \right|}\)的值为\((\) \()\)
A. \(4\pm 2\sqrt{3}\)
B. \(4\pm 2\sqrt{2}\) C. \(3\pm 2\sqrt{2}\) D. \(2\pm \sqrt{2}\)
