13.已知函数f(x)=|ex-1|,a>0>b,f(a)=f(b),则b(ea-2)的最大值为( )
| A. | $\frac{1}{e}$ | B. | 1 | C. | 2 | D. | e |
12.若x,y满足约束条件$\left\{{\begin{array}{l}{y≥|x|-2}\\{{x^2}≤4-y}\end{array}}\right.$,则z=3x+y的取值范围是( )
| A. | [-$\frac{11}{4}$,6] | B. | [-2,$\frac{25}{4}$] | C. | [-6,6] | D. | [-6,$\frac{25}{4}$] |
11.已知椭圆C:$\frac{x^2}{16}$+$\frac{y^2}{7}$=1的左焦点为F,A,B是C上关于原点对称的两点,且∠AFB=90°,则△ABF的周长为( )
| A. | 10 | B. | 12 | C. | 14 | D. | 16 |
10.已知数列{an}的首项为1,前n项和为Sn,若数列{an}与{Sn+2}都是公比为q的等比数列,则q的值为( )
| A. | $\frac{1}{2}$ | B. | 1 | C. | $\frac{3}{2}$ | D. | 2 |
9.已知命题p:?x∈(-$\frac{π}{2}$,0),sinx>x;命题q:lg(1-x)<1的解集为(0,1),则下列命题为真命题的是( )
| A. | p∧q | B. | p∧(¬q) | C. | (¬p)∨q | D. | (¬p)∧(¬q) |
8.从自然数1~5中任取3个不同的数,则这3个数的平均数大于3的概率为( )
| A. | $\frac{3}{10}$ | B. | $\frac{2}{5}$ | C. | $\frac{1}{2}$ | D. | $\frac{3}{5}$ |
7.设全集U=R,集合M={x|x2+x-2>0},N={x|{2x-1≤$\frac{1}{2}$},则(∁UM)∩N=( )
| A. | [-2,0] | B. | [-2,1] | C. | [0,1] | D. | [0,2] |
6.已知$\overline z$=$\frac{i}{1-i}$是复数z的共轭复数,则z=( )
| A. | -$\frac{1}{2}$-$\frac{1}{2}$i | B. | -$\frac{1}{2}$+$\frac{1}{2}$i | C. | $\frac{1}{2}$-$\frac{1}{2}$i | D. | $\frac{1}{2}$+$\frac{1}{2}i$ |
5.已知质点以速度v(t)=$\left\{\begin{array}{l}{3{t}^{2}-3,t∈(0,2]}\\{13-2t,t∈(2,5]}\end{array}\right.$(m/s)在运动,则该质点从时刻t=0到时刻t=5(s)时所经过的路程为( )
0 230430 230438 230444 230448 230454 230456 230460 230466 230468 230474 230480 230484 230486 230490 230496 230498 230504 230508 230510 230514 230516 230520 230522 230524 230525 230526 230528 230529 230530 230532 230534 230538 230540 230544 230546 230550 230556 230558 230564 230568 230570 230574 230580 230586 230588 230594 230598 230600 230606 230610 230616 230624 266669
| A. | 20m | B. | 22m | C. | 24m | D. | 26m |