5．
\((1)①\dfrac{2\sin {{46}^{\circ }}-\sqrt{3}\cos {{74}^{\circ }}}{\cos {{16}^{\circ }}}=\) _________ \(\_\)．
\(②\sin 42{}^\circ \cos 18{}^\circ -\cos 138{}^\circ \cos 72{}^\circ =\)________ __．
\((2)①\)设函数\(f(x)=\begin{cases} & x,x < 1 \\ & {{x}^{3}}-\dfrac{1}{x}+1,x\geqslant 1 \\ \end{cases}\)，则不等式\(f(6-{{x}^{2}}) > f\left( x \right)\)的解集为____ \(\_\)
\(②\)设函数\(f(x)=\begin{cases} & x,x < 1 \\ & {{x}^{3}}-\dfrac{1}{x}+1,x\geqslant 1 \\ \end{cases}\)，则\(f(\dfrac{1}{f(2)}) =\)__________
\((3)①\)将函数\(f(x)=\sin (3x+ \dfrac{π}{4}) \)图像向左平移\(m(m > 0)\)个单位后所对应的函数是偶函数，则\(m\)的最小值是 ．
\(②\)函数\(f(x)=\sin (3x+ \dfrac{π}{4}) \)的最小正周期为 ．
\((4)①\)等腰\(\Delta ABC\)的顶角\(A=\dfrac{2\pi }{3}\)，\(\left| BC \right|=2\sqrt{3}\)，以\(A\)为圆心，\(1\)为半径作圆，\(PQ\)为直径，则\(\overrightarrow{BP}\cdot \overrightarrow{CQ}\)的最大值为\(\_\)___ ______．
\(②\)等腰\(\Delta ABC\)的顶角\(A=\dfrac{2\pi }{3}\)，\(\left| BC \right|=2\sqrt{3}\)，则\(\overrightarrow{BA}\bullet \overrightarrow{AC}=\)_____ _____．