\((1)\)若复数\(z\)满足\((1+i)z=\left| \left. 1- \sqrt{3}i \right. \right|\),则复数\(z\)的共轭复数所对应的点位于第__________象限.
\((2)\)已知点\(A(x_{1},ax_{1})\),\(B(x_{2},ax_{2})\)是函数\(y=a^{x}(a > 1)\)的图象上任意不同两点,依据图象可知,线段\(AB\)总是位于\(A\)、\(B\)两点之间函数图象的上方,因此有结论\( \dfrac{ax_{1}+ax_{2}}{2} > a \dfrac{x_{1}+x_{2}}{2}\)成立\(.\)运用类比思想方法可知,若点\(A(x_{1},\sin x_{1})\),\(B(x_{2},\sin x_{2})\)是函数\(y=\sin x(x∈(0,π))\)的图象上任意不同两点,则类似地有____________成立.
\((3)\)正四面体\(S-ABC\)的所有棱长都为\(2\),则它的体积为____________.
\((4)\)下列命题:
\(①\triangle ABC\)的三边分别为\(a\),\(b\),\(c\),则该三角形是等边三角形的充要条件为\(a^{2}+b^{2}+c^{2}=ab+ac+bc\);
\(②\)数列\(\left\{ \left. a_{n} \right. \right\}\)的前\(n\)项和为\(S_{n}\),则\(S_{n}=An^{2}+Bn\)是数列\(\left\{ \left. a_{n} \right. \right\}\)为等差数列的必要不充分条件;
\(③\)在\(\triangle ABC\)中,\(A=B\)是\(\sin A=\sin B\)的充分必要条件;
\(④\)已知\(a_{1}\),\(b_{1}\),\(c_{1}\),\(a_{2}\),\(b_{2}\),\(c_{2}\)都是不等于零的实数,关于\(x\)的不等式\(a_{1}x^{2}+b_{1}x+c_{1} > 0\)和\(a_{2}x^{2}+b_{2}x+c_{2} > 0\)的解集分别为\(P\),\(Q\),则\( \dfrac{a_{1}}{a_{2}}= \dfrac{b_{1}}{b_{2}}= \dfrac{c_{1}}{c_{2}}\)是\(P=Q\)的充分必要条件.
其中正确的命题序号是____________.