20.已知双曲线$\frac{{x}^{2}}{{a}^{2}}$-$\frac{{y}^{2}}{{b}^{2}}$=1(a>0,b>0),过点M(2,1),斜率为4的直线l与双曲线交于A,B两点,且点M恰好为线段AB的中点,则双曲线的一条渐近线方程为( )
| A. | 2x-y=0 | B. | y=x | C. | $\sqrt{3}$x-y=0 | D. | $\sqrt{2}x$+y=0 |
19.设函数f(x)=$\left\{\begin{array}{l}{lo{g}_{\frac{1}{2}}(3-x),(x≤0)}\\{f(x-3)+1,(x>0)}\end{array}\right.$,则f(20)=( )
| A. | 3 | B. | 4 | C. | 5 | D. | log${\;}_{\frac{1}{2}}$17 |
18.执行如图所示的程序框图,则输出的“S+n”的值为( )

| A. | -21 | B. | -20 | C. | -19 | D. | -18 |
17.若实数x,y满足不等式组$\left\{\begin{array}{l}{x-y+5≥0}\\{x+y≥0}\\{x≤3}\end{array}\right.$,则$\frac{y+3x+7}{x+5}$的最小值为( )
| A. | -$\frac{4}{5}$ | B. | -2 | C. | -$\frac{11}{5}$ | D. | $\frac{4}{5}$ |
16.若$\frac{sin(2α-\frac{π}{3})+cos(2α-\frac{π}{6})}{sin2α+co{s}^{2}α}$=$\frac{2}{5}$,则tanα=( )
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| A. | $\frac{1}{2}$ | B. | 2 | C. | $\frac{1}{3}$ | D. | 4 |