2.
\((1)\)如图,函数\(f(x)\)的图像是曲线\(OAB\),其中点\(O\),\(A\),\(B\)的坐标分别为\((0,0)\),\((1,2)\),\((3,1)\),则\(f\left( \dfrac{1}{f\left(3\right)}\right) =\)____.
\((2)\)已知函数\(f(x)=a^{x}+b(a > 0,a\neq 1)\)的定义域和值域都是\([-1,0]\),则\(a+b=\)________ .
\((3)\)已知\(4^{a}=2\),\(\lg x=a\),则\(x=\)____.
\((4)\)已知\(a={{2}^{-\frac{1}{3}}},b={{\log }_{2}}\dfrac{1}{3},c={{\log }_{\frac{1}{2}}}\dfrac{1}{3}.\)则\(a.b\),\(c\)的大小关系为_______\((\)由大到小\()\)
\((5)\)观察下列等式:\({{1}^{3}}+{{2}^{3}}={{3}^{2}}\),\({{1}^{3}}+{{2}^{3}}+{{3}^{3}}={{6}^{2}}\),\({{1}^{3}}+{{2}^{3}}+{{3}^{3}}+{{4}^{3}}={{10}^{2}}\),\(…\),根据上述规律,第五个等式为_______.