\((1)\)已知等差数列\(\left\{ a_{n} \right\}\)中,公差\(d{\neq }0\),且\(a_{1}\),\(a_{3}\),\(a_{9}\)成等比数列,求\(\dfrac{a_{1}{+}a_{3}{+}a_{9}}{a_{2}{+}a_{4}{+}a_{10}}{=}\)___.
\((2)\)平面\(\alpha\)过正方体\(ABCD{-}A_{1}B_{1}C_{1}D_{1}\)的顶点\(A\),\(\alpha{/\!/}\)平面\(CB_{1}D_{1}\),\(\alpha{∩}\)平面\(ABCD{=}m\),\(\alpha{∩}\)平面\({AB}B_{1}A_{1}{=}n\),则\(m{,}n\)所成角的大小为______________.
\((3)\)一轮船向正北方向航行,某时刻在\(A\)处测得灯塔\(M\)在正西方向且相距\(20\sqrt{3}\)海里,另一灯塔\(N\)在北偏东\({{30}^{\circ }}\)方向,继续航行\(20\)海里至\(B\)处时,测得灯塔\(N\)在南偏东\({{60}^{\circ }}\)方向,则两灯塔\(MN\)之间的距离是__________海里.
\((4)\)设抛物线\({{y}^{2}}=2x\)的焦点为\(F\),过点\(M\left( \sqrt{3},0 \right)\)的直线与抛物线相交于\(A,B\)两点,与抛物线的准线相交于点\(C\),\(\left| BF \right|=2\),则\(\Delta BCF\)与\(\Delta ACF\)的面积之比\(\dfrac{{{S}_{\Delta BCF}}}{{{S}_{\Delta ACF}}}=\)__________.