\((1)\)在平面直角坐标系中,点\((3,-2)\)关于原点对称的点是________.
\((2)\)计算\(\cos {30}^{∘}+ \dfrac{1}{2}\tan {60}^{∘}=\_\_\_\_\_\_\_\_ \).
\((3)\)如图,在\(\triangle ABC\)中,\(DE/\!/BC\),\(\dfrac{DE}{BC}=\dfrac{2}{3}\),\(\triangle ADE\)的面积是\(8\),则\(\triangle ABC\)的面积为________.
\((4)\)如图,有一圆弧形门拱的拱高\(AB\)为\(1m\),跨度\(CD\)为\(4m\),则这个门拱的半径为________\(m\).
\((5)2017\)年\(8\)月\(12\)日,临沂市举行全民健步走公益活动,临沂电视台用无人机航拍技术全程直播\(.\)如图,在无人机的镜头下,观测滨河大道上健步走人群的\(A\)处的俯角为\(30^{\circ}\),\(B\)处的俯角为\(45^{\circ}.\)如果此时无人机镜头\(C\)处的高度\(CD\)为\(200\)米,点\(A\)、\(D\)、\(B\)在同一直线上,则\(AB\)两点的距离是________米\((\)结果保留根号\()\).
\((6)\)如图,把抛物线\(y=\dfrac{1}{2}{{x}^{2}}\)平移得到抛物线\(m\),抛物线\(m\)经过点\(A(-6,0)\)和原点\(O(0,0)\),它的顶点为\(P\),它的对称轴与抛物线\(y=\dfrac{1}{2}{{x}^{2}}\)交于点\(Q\),则图中阴影部分的面积为________.