\((1)\) 某扇形的面积为\(1cm^{2}\),它的周长为\(4cm\),那么该扇形圆心角为______ .
\((2)\)给出下列六个命题,其中正确的命题是______
\({①}\)存在\(\alpha\)满足\(\sin\alpha{+}\cos\alpha{=}\dfrac{3}{2}\);
\({②}y{=}\sin(\dfrac{5}{2}\pi{-}2x)\)是偶函数;
\({③}x{=}\dfrac{\pi}{8}\)是\(y{=}\sin(2x{+}\dfrac{5\pi}{4})\)的一条对称轴;
\({④}y{=}e^{\sin 2x}\)是以\(\pi\)为周期的\((0{,}\dfrac{\pi}{2})\)上的增函数;
\({⑤}\)若\(\alpha\)、\(\beta\)是第一象限角,且\(\alpha{ > }\beta\),则\(\tan\alpha{ > }\tan\beta\);
\({⑥}\)函数\(y{=}3\sin(2x{+}\dfrac{\pi}{3})\)的图象可由\(y{=}3\sin 2x\)的图象向左平移\(\dfrac{\pi}{3}\)个单位得到.
\((3)\)若\(f(x){+}f(1{-}x){=}4\),则\(f(0){+}f(\dfrac{1}{n}){+…+}f(\dfrac{n{-}1}{n}){+}f(1)(n{∈}N{*}){=}\)______.
\((4)\) 函数\(f(x){=}3\sin({πx}){-}\dfrac{1}{1{-}x}{,}x{∈[-}3{,}5{]}\)的所有零点之和为______ .