2.若$a={2^{\frac{π}{8}}}$,${(\frac{1}{2})^b}={log_{\frac{1}{π}}}b$,$c={log_2}sin\frac{π}{3}$,则( )
| A. | a>b>c | B. | b>a>c | C. | c>a>b | D. | b>c>a |
1.过双曲线$\frac{x^2}{3}-{y^2}=1$右焦点的直线l被圆x2+(y+2)2=9截得弦长最长时,则直线l的方程为( )
| A. | x-y+2=0 | B. | x+y-2=0 | C. | x-y-2=0 | D. | x+y+2=0 |
20.曲线$y=lnx-\frac{2}{x}$在x=1处的切线的倾斜角为α,则cosα+sinα的值为( )
| A. | $\frac{{2\sqrt{10}}}{5}$ | B. | $\frac{{\sqrt{10}}}{10}$ | C. | $\frac{{\sqrt{10}}}{5}$ | D. | $\frac{{3\sqrt{10}}}{10}$ |
19.已知复数z=x+yi(x,y∈R)满足$|{\overline z}|≤1$,则y≥x-1的概率为( )
| A. | $\frac{3}{4}-\frac{1}{2π}$ | B. | $\frac{1}{4}-\frac{1}{2π}$ | C. | $\frac{3}{4}+\frac{1}{2π}$ | D. | $\frac{1}{4}+\frac{1}{2π}$ |
18.执行如图所示的程序框图,输出的S值为( )

| A. | 1 | B. | $\sqrt{2015}-1$ | C. | $\sqrt{2016}-1$ | D. | $\sqrt{2017}-1$ |
17.三位男同学两位女同学站成一排,女同学不站两端的排法总数为( )
| A. | 6 | B. | 36 | C. | 48 | D. | 120 |
16.对于命题p:?x∈R,使得x2+x+1<0,则¬p是( )
| A. | ¬p:?x∈R,x2+x+1>0 | B. | ¬p:?x∈R,x2+x+1≠0 | ||
| C. | ¬p:?x∈R,x2+x+1≥0 | D. | ¬p:?x∈R,x2+x+1<0 |
14.已知集合A={1,2,3},B={2,3},则( )
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| A. | A∩B=∅ | B. | ∁AB=B | C. | A⊆B | D. | B$\begin{array}{l}?\\≠\end{array}$A |