题型:填空题 题类:月考试卷 难易度:较难
\((1)\)设集合\(A=\{x|1 < x < 4\}\),集合\(B =\{x|x^{2}-2x-3\leqslant 0\}\), 则\(A∩(C_{R}B)=\) \(.\)
\((2)\)在极坐标系中,点\(M(1,0)\)关于极点的对称点为 \((\)注:\({0}\leqslant \theta < \dfrac{\pi }{2}\),\(ρ > 0)\).
\((3)\)若\(x,y\in R\),且\(\dfrac{x}{1-i}-\dfrac{y}{1-2i}=\dfrac{5}{1-3i}\),则\(x=\) .
\((4)\)已知函数\(f\left(x\right)={x}^{3}- \dfrac{1}{2}\sin x+3x \),对任意\(x∈R \)都有\(f\left(-{x}^{2}+3x\right)+f\left(x-2k\right)\leqslant 0 \)恒成立,则\(k\)的取值范围是 .