17.已知复数z满足$\frac{1+z}{i}=1-z$(i是虚数单位),则z的虚部为( )
| A. | i | B. | -1 | C. | 1 | D. | -i |
16.已知f(x)是偶函数,且f(x)在[0,+∞)上是增函数,若f(ax+1)≤f(x-2)在$x∈[{\frac{1}{2}\;,\;1}]$上恒成立,则实数a的取值范围是( )
| A. | [-2,1] | B. | [-2,0] | C. | [-1,1] | D. | [-1,0] |
15.已知△ABC是边长为4的等边三角形,D、P是△ABC内部两点,且满足$\overrightarrow{AD}=\frac{1}{4}(\overrightarrow{AB}+\overrightarrow{AC})$,$\overrightarrow{AP}=\overrightarrow{AD}+\frac{1}{8}\overrightarrow{BC}$,则△ADP的面积为( )
| A. | $\frac{{\sqrt{3}}}{4}$ | B. | $\frac{{\sqrt{3}}}{3}$ | C. | $\frac{{\sqrt{3}}}{2}$ | D. | $\sqrt{3}$ |
13.命题“若x=1,则x2-3x+2=0”的逆否命题是( )
| A. | 若x≠1,则x2-3x+2≠0 | B. | 若x2-3x+2=0,则x=1 | ||
| C. | 若x2-3x+2=0,则x≠1 | D. | 若x2-3x+2≠0,则x≠1 |
9.双曲线$\frac{{x}^{2}}{{a}^{2}}$-$\frac{{y}^{2}}{{b}^{2}}$=1(a>0,b>0)的右焦点为F,点P在双曲线的左支上,且PF与圆x2+y2=a2相切于点M,若M恰为线段PF的中点,则双曲线的离心率为( )
0 238962 238970 238976 238980 238986 238988 238992 238998 239000 239006 239012 239016 239018 239022 239028 239030 239036 239040 239042 239046 239048 239052 239054 239056 239057 239058 239060 239061 239062 239064 239066 239070 239072 239076 239078 239082 239088 239090 239096 239100 239102 239106 239112 239118 239120 239126 239130 239132 239138 239142 239148 239156 266669
| A. | $\sqrt{2}$ | B. | $\sqrt{5}$ | C. | $\sqrt{10}$ | D. | 2$\sqrt{5}$ |