15.若a=3cos30°,b=log${\;}_{\frac{1}{3}}$sin30°,c=log2tan30°,则( )
| A. | a>b>c | B. | b<c<a | C. | c>b>a | D. | b>a>c |
14.已知sinθ=2cosθ,则$\frac{{sin(\frac{π}{2}+θ)-cos(π+θ)}}{{sin(\frac{π}{2}-θ)-sin(π-θ)}}$=( )
| A. | 2 | B. | -2 | C. | 0 | D. | $\frac{2}{3}$ |
13.已知tan(α+β)=$\frac{2}{3}$,tan(β-$\frac{π}{4}$)=$\frac{1}{2}$,则tan(α+$\frac{π}{4}$)=( )
| A. | $\frac{1}{8}$ | B. | $\frac{1}{2}$ | C. | $\frac{3}{2}$ | D. | $\frac{1}{6}$ |
11.函数f(x)=|tanx|的周期为( )
| A. | 2π | B. | π | C. | $\frac{π}{2}$ | D. | $\frac{π}{4}$ |
8.已知点P(2,-3),Q(3,2),直线ax+y+2=0与线段PQ相交,则实数a的取值范围是( )
| A. | -$\frac{4}{3}$<a<$\frac{1}{2}$ | B. | -$\frac{4}{3}$≤a≤$\frac{1}{2}$ | C. | a>$\frac{1}{2}$或a<-$\frac{4}{3}$ | D. | a≥$\frac{1}{2}$或a≤-$\frac{4}{3}$ |
6.已知点P(x,y)满足条件:$\left\{\begin{array}{l}x≥0\\ x-y≥0\\ 2x+y-k≤0\end{array}\right.$,若z=x+3y的最大值为8,则k的值为( )
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| A. | -6 | B. | 6 | C. | 8 | D. | 不确定 |