17.过双曲线$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1({a>0,b>0})$的左焦点F(-c,0)(c>0),作圆x2+y2=a2的切线,切点为E,延长FE交双曲线右支于点P,若$\overrightarrow{OE}=\frac{1}{2}({\overrightarrow{OF}+\overrightarrow{OP}})$,则双曲线的离心率为( )
| A. | $2\sqrt{5}$ | B. | $\sqrt{5}$ | C. | $\frac{{\sqrt{10}}}{2}$ | D. | $\frac{{\sqrt{10}}}{5}$ |
15.已知实数x,y满足不等式组$\left\{\begin{array}{l}x+y-5≤0\\ x-2y+1≤0\\ x≥1\end{array}\right.$,若不等式y2-2xy≤ax2恒成立,则实数a的最小值为( )
| A. | 8 | B. | 3 | C. | -1 | D. | -6 |
14.已知复数z=$\frac{1+2i}{2}$(1+i)2(i为虚数单位),则z的共轭复数是( )
| A. | -2-i | B. | 2+3i | C. | $\frac{1}{2}$-i | D. | $\frac{1}{2}+i$ |
11.直线x=a分别与曲线y=2(x+1),y=x+lnx交于A、B两点,则|AB|的最小值为( )
| A. | 3 | B. | 2 | C. | $\frac{3\sqrt{2}}{4}$ | D. | $\frac{3}{2}$ |
10.下列说法错误的是( )
0 238558 238566 238572 238576 238582 238584 238588 238594 238596 238602 238608 238612 238614 238618 238624 238626 238632 238636 238638 238642 238644 238648 238650 238652 238653 238654 238656 238657 238658 238660 238662 238666 238668 238672 238674 238678 238684 238686 238692 238696 238698 238702 238708 238714 238716 238722 238726 238728 238734 238738 238744 238752 266669
| A. | 若命题p∧q为假命题,则p,q都是假命题 | |
| B. | 已知命题p:?x∈R,x2+x+1>0,则¬p:?x0∈R,x02+x0+1≤0 | |
| C. | 命题“若x2-3x+2=0,则x=1”的逆命题为:“若x≠1,则x2-3x+2≠0” | |
| D. | “x=1”是“x2-3x+2=0”的充分不必要条件 |