7.设函数f(x)的定义域为D,若函数f(x)满足条件:存在[a,b]⊆D,使f(x)在[a,b]上的值域是[2a,2b],则称f(x)为“倍扩函数”,若函数f(x)=log2(2x+t)为“倍扩函数”,则实数t的取值范围是( )
| A. | $(-∞,-\frac{1}{4})$ | B. | $(-\frac{1}{4},0)$ | C. | $(-\frac{1}{4},0]$ | D. | $[-\frac{1}{4},+∞)$ |
6.若函数f(x)=ax2+2(a-1)x+2在区间(-∞,4)上是减函数,则实数a的取值范围是( )
| A. | $0≤a≤\frac{1}{5}$ | B. | $a≤\frac{1}{5}$ | C. | a≥-3 | D. | $a≤\frac{1}{5}$或0 |
5.某个实验中,测得变量x和变量y的几组数据,如表:
则对x,y最适合的拟合函数是( )
| x | 0.50 | 0.99 | 2.01 | 3.98 |
| y | -0.99 | 0.01 | 0.98 | 2.00 |
| A. | y=2x | B. | y=x2-1 | C. | y=log2x | D. | y=2x-2 |
4.已知函数f(x)=$\left\{{\begin{array}{l}{2^x}-1,x>0\\ x,x≤0.\end{array}}$若f(a)+f(1)=0,则实数a的值等于( )
| A. | 2 | B. | -1 | C. | -1或0 | D. | 0 |
3.函数f(x)=2x-1+x-5的零点x0∈( )
| A. | (1,2) | B. | (2,3) | C. | (3,4) | D. | (3,+∞) |
2.下列函数中,在其定义域内既是奇函数又是减函数的是( )
(1)y=-|x|(x∈R)(2)y=-x3-x(x∈R)(3)y=($\frac{1}{2}$)x(x∈R)(4)y=-x+$\frac{2}{x}$.
(1)y=-|x|(x∈R)(2)y=-x3-x(x∈R)(3)y=($\frac{1}{2}$)x(x∈R)(4)y=-x+$\frac{2}{x}$.
| A. | (2) | B. | (1)(3) | C. | (4) | D. | (2)(4) |
1.已知a=2${\;}^{-\frac{1}{3}}}$,b=log2$\frac{1}{3}$,c=log3π,则( )
| A. | c>a>b | B. | a>c>b | C. | a>b>c | D. | c>b>a |
20.函数f(x)=$\sqrt{{{log}_{\frac{1}{2}}}(3-x)}$的定义域是( )
| A. | (2,3) | B. | (-∞,3) | C. | (3,+∞) | D. | [2,3) |
19.下列各函数中,表示同一函数的是( )
0 233772 233780 233786 233790 233796 233798 233802 233808 233810 233816 233822 233826 233828 233832 233838 233840 233846 233850 233852 233856 233858 233862 233864 233866 233867 233868 233870 233871 233872 233874 233876 233880 233882 233886 233888 233892 233898 233900 233906 233910 233912 233916 233922 233928 233930 233936 233940 233942 233948 233952 233958 233966 266669
| A. | y=lgx与$y=\frac{1}{2}lgx{\;}^2$ | B. | $y=\frac{{{x^2}-1}}{x-1}$与y=x+1 | ||
| C. | $y=\sqrt{x^2}-1$与y=x-1 | D. | y=x与$y={log_a}{a^x}$(a>0且a≠1) |