\((1)\)计算\({{\log }_{2.5}}6.25+\lg \dfrac{1}{100}+\ln \sqrt{e}+{{2}^{1+{{\log }_{2}}3}} =\)______．
\((2){{\left( \sqrt{x}-\dfrac{i}{x} \right)}^{8}}\)的二项展开式中，含\(x\)的一次项的系数为 \(.(\)用数字作答\()\)
\((3)\)两圆\({{x}^{2}}+{{y}^{2}}+2ax+{{a}^{2}}-4=0\)和\({{x}^{2}}+{{y}^{2}}-4by-1+4{{b}^{2}}=0\)恰有三条公切线，若\(a\in R\)，\(b\in R\)且\(ab\ne 0\)，则\(\dfrac{1}{{{a}^{2}}}+\dfrac{1}{{{b}^{2}}}\)的最小值为_____________．
\((4)\)对于函数\(f\left( x \right)\)，如果\(f\left( x \right)\)可导，且\(f\left( x \right)={f}{{'}}\left( x \right)\)有实数根\(x\)，则称\(x\)是函数\(f\left( x \right)\)的驻点\(.\)若函数\(g\left( x \right)={{x}^{2}}\left( x > 0 \right),h\left( x \right)=\ln x,\varphi \left( x \right)=\sin x\left( 0 < x < \pi \right)\)的驻点分别是\({{x}_{1}},{{x}_{2}},{{x}_{3}}\)，则
的大小关系是______\((\)用“\( < \)”连接\().\)