2.已知函数f(x)=ln(x-2)-$\frac{{x}^{2}}{2a}$,(a为常数且a≠0),若f(x)在x0处取得极值,且x0∉[e+2,e2+2],而f(x)≥0在[e+2,e2+2]上恒成立,则a的取值范围( )
| A. | a≥e4+2e2 | B. | a>e2+2e | C. | a≥e2+2e | D. | a>e4+2e2 |
1.已知P为抛物线y2=4x上的动点,直线l1:x=-1,直线l2:x+y+3=0,则P点到直线l1,l2距离之和的最小值为( )
| A. | 2$\sqrt{2}$ | B. | 4 | C. | $\sqrt{2}$ | D. | $\frac{3}{2}$$\sqrt{2}$ |
20.双曲线的渐近线方程为y=±4x,则该双曲线的离心率为( )
| A. | 5 | B. | $\sqrt{5}$ | C. | $\sqrt{17}$或$\frac{\sqrt{17}}{4}$ | D. | $\sqrt{17}$或$\frac{\sqrt{17}}{2}$ |
19.定积分${∫}_{-1}^{1}$ $\sqrt{1-{x}^{2}}$dx=( )
| A. | 1 | B. | π | C. | $\frac{π}{2}$ | D. | $\frac{π}{4}$ |
18.焦点在x轴上的椭圆C:$\frac{{x}^{2}}{{a}^{2}}+{y}^{2}$=1,过右焦点作垂直于x轴的直线交椭圆与A,B两点,且|AB|=1,则该椭圆的离心率为( )
| A. | $\frac{\sqrt{3}}{2}$ | B. | $\frac{1}{2}$ | C. | $\frac{\sqrt{15}}{4}$ | D. | $\frac{\sqrt{5}}{3}$ |
17.曲线y=-$\frac{1}{x}$在(1,-1)处的切线的斜率为( )
| A. | -1 | B. | 1 | C. | $\frac{1}{2}$ | D. | -$\frac{1}{2}$ |
16.双曲线$\frac{{x}^{2}}{5}-\frac{{y}^{2}}{2}$=1与椭圆$\frac{{x}^{2}}{{a}^{2}}+\frac{{y}^{2}}{9}$=1(a>0)有相同的焦点,则a的值为( )
0 234647 234655 234661 234665 234671 234673 234677 234683 234685 234691 234697 234701 234703 234707 234713 234715 234721 234725 234727 234731 234733 234737 234739 234741 234742 234743 234745 234746 234747 234749 234751 234755 234757 234761 234763 234767 234773 234775 234781 234785 234787 234791 234797 234803 234805 234811 234815 234817 234823 234827 234833 234841 266669
| A. | $\sqrt{2}$ | B. | $\sqrt{10}$ | C. | 4 | D. | $\sqrt{34}$ |