14.已知函数f(x)满足:对任意的x>0,都有f(x)+xf′(x)>0.则( )
| A. | f(2)>f(4) | B. | f(2)<f(4) | C. | $\frac{f(1)}{2}$>f(2) | D. | $\frac{f(1)}{2}$<f(2) |
12.已知具有线性相关关系的两个变量x与y的一组对应数据如表所示,则据此建立的回归直线方程是( )
| x | 1 | 2 | 3 | 4 | 5 |
| y | 1 | 4 | 6 | 8 | 11 |
| A. | $\widehat{y}$=2x-1 | B. | $\widehat{y}$=2x+1 | C. | $\widehat{y}$=2.4x-1.2 | D. | $\widehat{y}$=2.4x-1 |
11.下列命题错误的是( )
| A. | 存在正数x0,当x>x0时,2x>x3 | B. | 存在正数x0,当x>x0时,x>lnx | ||
| C. | ?x>2,2x>x2 | D. | ?x>2,x3>$\sqrt{x}$ |
10.曲线y=cosx在点($\frac{π}{3}$,$\frac{1}{2}$)处的切线的斜率为( )
| A. | $\frac{1}{2}$ | B. | -$\frac{1}{2}$ | C. | $\frac{\sqrt{3}}{2}$ | D. | -$\frac{\sqrt{3}}{2}$ |
9.命题“?x>1,$\sqrt{x}$>1”的否定是( )
| A. | ?x0>1,$\sqrt{{x}_{0}}$≤1 | B. | ?x0>1,$\sqrt{{x}_{0}}$≤1 | C. | ?x0≤1,$\sqrt{{x}_{0}}$≤1 | D. | ?x0≤1,$\sqrt{{x}_{0}}$≤1 |
8.已知f(x)=$\left\{\begin{array}{l}{{x}^{\frac{1}{2}},x≥0}\\{-x,x<0}\end{array}\right.$,则f[f(-4)]的值是( )
| A. | -2 | B. | -$\frac{1}{2}$ | C. | $\frac{1}{2}$ | D. | 2 |
7.已知集合A={0,1},B={1,2,3},则A∪B=( )
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| A. | {1} | B. | {0,2,3} | C. | {0,1,2,3} | D. | {1,2,3} |