已知正项数列\(\{a_{n}\}\)的前\(n\)项和为\(S_{n}\)，且\(a_{1}=1\)，\(S_{n+1}+S_{n}=a_{n+1}^{2}\)，数列\(\{b_{n}\}\)满足\(b_{1}=2\)，\(b_{n}·b_{n+1}=2^{2a_{n}+1}.\)
\((1)\)求证：\(\{a_{n}\}\)为等差数列；
\((2)\)求证：\(\dfrac{a_{1}}{b_{1}}+\dfrac{a_{2}}{b_{2}}+\)…\(+\dfrac{a_{n}}{b_{n}}< 2.\)