4.已知函数$f(x)=\frac{1}{2}ln(x+\frac{1}{4})$,$g(x)=ln(2x-\frac{1}{2}+t)$,若f(x)≤g(x)在区间[0,1]上恒成立,则( )
| A. | 实数t有最小值1 | B. | 实数t有最大值1 | C. | 实数t有最小值$\frac{1}{2}$ | D. | 实数t有最大值$\frac{1}{2}$ |
3.已知函数f(x)=ax-1(a>0,且a≠1),当x∈(0,+∞)时,f(x)>0,且函数g(x)=f(x+1)-4的图象不过第二象限,则a的取值范围是( )
| A. | (1,+∞) | B. | $(\frac{1}{2},1)$ | C. | (1,3] | D. | (1,5] |
2.已知函数$f(x)=\frac{2}{4^x}-x$,设a=0.2-2,b=log0.42,c=log43,则有( )
| A. | f(a)<f(c)<f(b) | B. | f(c)<f(b)<f(a) | C. | f(a)<f(b)<f(c) | D. | f(b)<f(c)<f(a) |
19.已知函数$f(x)=\left\{\begin{array}{l}1+{log_5}x,x≥1\\ 2x-1,x<1\end{array}\right.$若f[f(0)+m]=2,则m等于( )
| A. | 3 | B. | 4 | C. | 5 | D. | 6 |
18.已知幂函数f(x)=xα的图象过点$(2,\frac{1}{2})$,则函数g(x)=(x-2)f(x)在区间$[{\frac{1}{2},1}]$上的最小值是( )
| A. | -1 | B. | -2 | C. | -3 | D. | -4 |
16.若log545=a,则log53等于( )
0 234639 234647 234653 234657 234663 234665 234669 234675 234677 234683 234689 234693 234695 234699 234705 234707 234713 234717 234719 234723 234725 234729 234731 234733 234734 234735 234737 234738 234739 234741 234743 234747 234749 234753 234755 234759 234765 234767 234773 234777 234779 234783 234789 234795 234797 234803 234807 234809 234815 234819 234825 234833 266669
| A. | $\frac{2}{a-1}$ | B. | $\frac{2}{1+a}$ | C. | $\frac{a+1}{2}$ | D. | $\frac{a-1}{2}$ |