\((\)理\()\)已知函数\(f(x)\)对任意\(x∈R\)都有\(f(x)+f(1-x)=2\)．
\((1)\)求\(f( \dfrac {1}{2})\)和\(f( \dfrac {1}{n})+f( \dfrac {n-1}{n})(n∈N^{*})\)的值；
\((2)\)数列\(f(x)\)满足\(a_{n}=f(0)+f( \dfrac {1}{n})+f( \dfrac {2}{n})+…+f( \dfrac {n-1}{n})+f(1)\)，\((n∈N^{*})\)求证：数列\(\{a_{n}\}\)是等差数列；
\((3)b_{n}= \dfrac {1}{a_{n}-1}\)，\(S_{n}= \dfrac {4n}{2n+1}\)，\(T_{n}=b_{1}^{2}+b_{2}^{2}+b_{3}^{2}+…+b_{n}^{2}\)，试比较\(T_{n}\)与\(S_{n}\)的大小．