1.
\((1)\)一个几何体的三视图如图所示,则该几何体的外接球的体积为\(\_\) .
\((2)\)在等腰\(\Delta ABC\)中,\(AB=AC\),\(BC=6\),点\(D\)为边\(BC\)的中心,则\(\overrightarrow{AB}· \overrightarrow{BD} \)__________.
\((3)\)抛物线\(y^{2}{=}4x\)的焦点为\(F\),过\(F\)的直线与抛物线交于\(A\),\(B\)两点,且满足\(\dfrac{{AF}}{{BF}}{=}4\),点\(O\)为原点,则\({ΔAOF}\)的面积为__________.
\((4)\)设函数\(f\left( x \right)\left( x\in R \right)\)满足\(f\left( x-\pi \right)=f\left( x \right)-{\sin }x\),当\(-\pi < x\leqslant 0\)时,\(f\left( x \right)=0\),则\(f\left( \dfrac{2018\pi }{3} \right)=\)___________