20.集合A={-3,-1,2,4},B={x∈R|2x<8},则A∩B=( )
| A. | {-3} | B. | {-1,2} | C. | {-3,-1,2} | D. | {-3,-1,2,4} |
18.已知集合A={x|y=log2(4-x2)},B={y|y=2x+1},则A∩B=( )
| A. | ∅ | B. | (1,3) | C. | (1,+∞) | D. | (1,2) |
17.已知函数f(x)=$\left\{\begin{array}{l}{{ax}^{2}+2x+1,(-2<x≤0)}\\{ax-3,(x>0)}\end{array}\right.$有3个零点,则实数a的取值范围是( )
| A. | ($\frac{3}{4}$,1) | B. | ($\frac{1}{4}$,1) | C. | (0,1) | D. | (-∞,1) |
16.过y2=2px焦点F的直线交抛物线于A,B,若|BF|=$\frac{6}{5}$,|AF|=$\frac{6}{7}$,则抛物线方程( )
| A. | y2=x | B. | y2=2x | C. | y2=3x | D. | y2=4x |
15.已知函数$f(x)=\left\{\begin{array}{l}(2x-{x^2}){e^x},x≤0\\-{x^2}+6x+1,x>0\end{array}\right.$,g(x)=f(x)+m,若函数g(x)恰有三个不同零点,则实数m的取值范围为( )
| A. | (1,10) | B. | (-10,-1) | C. | $(0,\frac{{2\sqrt{2}+2}}{{{e^{\sqrt{2}}}}})$ | D. | $(-10,\frac{{2\sqrt{2}+2}}{{{e^{\sqrt{2}}}}})$ |
13.已知函数$f(x)=\left\{\begin{array}{l}1,\;\;-1≤x≤0\\ \frac{1}{x},\;\;x>0\end{array}\right.$,则使方程x+f(x)=m有解的实数m的取值范围是( )
0 225686 225694 225700 225704 225710 225712 225716 225722 225724 225730 225736 225740 225742 225746 225752 225754 225760 225764 225766 225770 225772 225776 225778 225780 225781 225782 225784 225785 225786 225788 225790 225794 225796 225800 225802 225806 225812 225814 225820 225824 225826 225830 225836 225842 225844 225850 225854 225856 225862 225866 225872 225880 266669
| A. | (-∞,0)∪(1,2) | B. | [0,+∞) | C. | (-∞,1]∪[2,+∞) | D. | [0,1]∪[2,+∞) |