8.已知集合M={x|x2-4x+3<0},N={x|2x≤8},则M∩N=( )
| A. | (1,3] | B. | (0,3] | C. | (-∞,3] | D. | (1,3) |
3.已知实数x,y满足约束条件$\left\{\begin{array}{l}y≥0\\ x-y≥0\\ 2x-y-2≥0\end{array}\right.$,则使|m-1|>$\frac{y-1}{x+1}$恒成立的m的取值范围是( )
| A. | [0,2] | B. | (-∞,0]∪[2,+∞) | C. | [2,+∞) | D. | [-$\frac{1}{2}$,1) |
2.在面积为S的正方形ABCD的边AB上任取一点P,则△PCD的面积等于$\frac{S}{2}$的概率是( )
| A. | $\frac{1}{4}$ | B. | $\frac{1}{2}$ | C. | 1 | D. | $\frac{2}{3}$ |
1.下列命题的否定为假命题的是( )
| A. | ?x∈R,-x2+x-1<0 | B. | ?x∈R,|x|>x | ||
| C. | ?x,y∈Z,2x-5y≠12 | D. | $?{x_0}∈R,si{n^2}{x_0}+sin{x_0}-1=0$ |
20.在平面直角坐标系xoy中,已知双曲线C:$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1({a>0,b>0})$的一条渐近线方程为$y=\sqrt{2}x$,则该双曲线的离心率为( )
| A. | 2 | B. | $\sqrt{3}$ | C. | $\sqrt{2}$ | D. | 3 |
19.定积分${∫}_{-1}^{1}$x2dx=( )
0 233391 233399 233405 233409 233415 233417 233421 233427 233429 233435 233441 233445 233447 233451 233457 233459 233465 233469 233471 233475 233477 233481 233483 233485 233486 233487 233489 233490 233491 233493 233495 233499 233501 233505 233507 233511 233517 233519 233525 233529 233531 233535 233541 233547 233549 233555 233559 233561 233567 233571 233577 233585 266669
| A. | 0 | B. | $\frac{2}{3}$ | C. | 1 | D. | 2 |