16.已知椭圆$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$(a>b>0)的两个焦点分别为F1,F2,若椭圆上不存在点P,使得∠F1PF2是钝角,则椭圆离心率的取值范围是( )
| A. | $(0,\frac{{\sqrt{2}}}{2}]$ | B. | $[\frac{{\sqrt{2}}}{2},1)$ | C. | $(0,\frac{1}{2})$ | D. | $[\frac{1}{2},1)$ |
14.已知函数$f(x)=\left\{\begin{array}{l}{log_{\frac{1}{2}}}x,x>1\\ 2+{16^x},x≤1\end{array}\right.$,则$f(f(\frac{1}{4}))$=( )
| A. | -2 | B. | 4 | C. | 2 | D. | -1 |
13.已知偶函数f(x)在区间[0,+∞)上单调递减,则满足f(2x-1)<f(5)的x的取值范围是( )
| A. | (-2,3) | B. | (-∞,-2)∪(3,+∞) | C. | [-2,3] | D. | (-∞,-3)∪(2,+∞) |
12.设p:实数x,y满足x>1且y>1,q:实数x,y满足x+y>3,则p是q的( )
| A. | 充分不必要条件 | B. | 必要不充分条件 | ||
| C. | 充要条件 | D. | 既不充分也不必要条件 |
11.命题“?x∈R,x2+x+1≥0”的否定为( )
| A. | $?{x_0}∈R,x_0^2+{x_0}+1≥0$ | B. | $?{x_0}∈R,x_0^2+{x_0}+1<0$ | ||
| C. | ?x∈R,x2+x+1≤0 | D. | ?x∈R,x2+x+1<0 |
10.已知集合A=$\{x||x|≤2\},B=\{x|\sqrt{x}≤5\;x∈Z\}$,则A∩B=( )
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| A. | (0,2) | B. | [0,2] | C. | {0,1,2} | D. | {0,2} |