18.已知全集U={1,2,3,5},M={1,3,5},N={2,3},则集合(∁UN)∩M等于( )
| A. | {2} | B. | {1,3} | C. | {1,5} | D. | {2,5} |
13.已知双曲线C:$\frac{{x}^{2}}{{a}^{2}}$-$\frac{{y}^{2}}{{b}^{2}}$=1(a>0,b>0)的离心率e=$\frac{\sqrt{5}}{2}$,点P是抛物线x2=4y上的一动点,P到双曲线C的右焦点F1(c,0)的距离与到直线y=-1的距离之和的最小值为$\sqrt{6}$,则该双曲线的方程为( )
| A. | $\frac{{x}^{2}}{2}$-$\frac{{y}^{2}}{3}$=1 | B. | $\frac{{x}^{2}}{4}$-y2=1 | C. | x2-$\frac{{y}^{2}}{4}$=1 | D. | $\frac{{x}^{2}}{3}$-$\frac{{y}^{2}}{2}$=1 |
12.如果点P(x,y)满足约束条件$\left\{\begin{array}{l}{2x-y+2≥0}\\{x-2y+1≤0}\\{x+y-2≤0}\end{array}\right.$,则$\frac{y}{x+3}$的最大值是( )
| A. | 0 | B. | $\frac{1}{4}$ | C. | $\frac{2}{3}$ | D. | 1 |
11.已知函数f(x)=sin(ωx+φ)(ω>0)图象的两条相邻的对称轴之间的距离为$\frac{π}{2}$.若角φ的终边经过点P(-1,2),则f($\frac{5π}{4}$)=( )
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| A. | $\frac{2\sqrt{5}}{5}$ | B. | $\frac{\sqrt{5}}{5}$ | C. | -$\frac{2\sqrt{5}}{5}$ | D. | -$\frac{\sqrt{5}}{5}$ |