7.
已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,|ω|<$\frac{π}{2}$)的部分图象如图所示,下列说法正确的是( )
| A. | 函数f(x)的最小正周期为2π | |
| B. | 函数f(x)的图象关于点(-$\frac{5π}{12}$.0)对称 | |
| C. | 将函数f(x)的图象向左平移$\frac{x}{6}$个单位得到的函数图象关于y轴对称 | |
| D. | 函数f(x)的单调递增区间是[kx+$\frac{7π}{12}$,kπ+$\frac{13π}{12}$],(k∈Z) |
6.设函数f(x)=$\left\{\begin{array}{l}{log_3}x,0<x≤9\\ f(x-4),x>9\end{array}$则$f(13)+2f(\frac{1}{3})$的值为( )
| A. | 1 | B. | 0 | C. | -2 | D. | 2 |
5.如果f(x)=ax2+bx+c,f(x)>0的解集为{x|x<-2或x>4},那么( )
| A. | f(5)<f(2)<f(-1) | B. | f(2)<f(5)<f(-1) | C. | f(-1)<f(2)<f(5) | D. | f(2)<f(-1)<f(5) |
2.定义运算$|\begin{array}{l}{a}&{b}\\{c}&{d}\end{array}|$=ad-bc,则符合条件$|\begin{array}{l}{1}&{-1}\\{z}&{zi}\end{array}|$=4+2i的复数z的共轭复数$\overline{z}$为( )
| A. | 3-i | B. | 1+3i | C. | 3+i | D. | 1-3i |
19.当a>0,a≠1时,函数f(x)=loga(x-1)+1的图象恒过定点A,若点A在直线mx-y+n=0上,则4m+2n的最小值是( )
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| A. | 4 | B. | $2\sqrt{2}$ | C. | $\sqrt{2}$ | D. | 2 |