1.设数列{an}满足${a_n}={i^n}$,i是虚数单位,n∈N*,则数列{an}的前2015项和为( )
| A. | i | B. | -i | C. | 1 | D. | -1 |
20.若集合M={x|x2≤1},N={-2,0,1},则M∩N=( )
| A. | {-2,0,1} | B. | {0,1} | C. | {-2,0} | D. | ∅ |
18.在平面直角坐标系xOy中,P是由不等式组$\left\{\begin{array}{l}x≥0\\ x-y-4≤0\\ x+y-4≤0\end{array}\right.$所确定的平面区域内的动点,Q是圆x2+y2-8x-8y+30=0上的动点,则|PQ|的最小值为( )
| A. | $\frac{{\sqrt{2}}}{2}$ | B. | $\sqrt{2}$ | C. | $2\sqrt{2}$ | D. | $2\sqrt{2}-1$ |
17.如果某射手每次射击击中目标的概率为0.7,每次射击的结果相互独立,那么他在15次射击中,最有可能击中目标的次数是( )
| A. | 10 | B. | 11 | C. | 10或11 | D. | 12 |
16.若${(\frac{x}{a}+\frac{1}{{\root{3}{x}}})^8}$的展开式中常数项为1,则实数a=( )
| A. | $-2\sqrt{7}$ | B. | $\sqrt{7}$ | C. | $±2\sqrt{7}$ | D. | $±\sqrt{7}$ |
15.若f(x)=sin(ωx+φ)+cos(ωx+φ)(ω>0)的最小正周期为π,f(0)=$\sqrt{2}$,则( )
| A. | f(x)在$(-\frac{π}{4},\frac{π}{4})$单调递增 | B. | f(x)在$(-\frac{π}{4},\frac{π}{4})$单调递减 | ||
| C. | f(x)在$(0,\frac{π}{2})$单调递增 | D. | f(x)在$(0,\frac{π}{2})$单调递减 |
13.等比数列{an}的前n(n∈N*)项和为Sn,若S1=1,S2=3,则S3=( )
| A. | 7 | B. | 8 | C. | 9 | D. | 10 |
12.复数$\frac{5}{2+i}$(i是虚数单位)的共轭复数是( )
0 227702 227710 227716 227720 227726 227728 227732 227738 227740 227746 227752 227756 227758 227762 227768 227770 227776 227780 227782 227786 227788 227792 227794 227796 227797 227798 227800 227801 227802 227804 227806 227810 227812 227816 227818 227822 227828 227830 227836 227840 227842 227846 227852 227858 227860 227866 227870 227872 227878 227882 227888 227896 266669
| A. | 2-i | B. | 2+i | C. | -2+i | D. | -2-i |