4.已知a∈R,若不等式lnx-$\frac{a}{x}$+x-2>0对于任意x∈(1,+∞)恒成立,则a的取值范围为( )
| A. | a≤2 | B. | a≤1 | C. | a≤-1 | D. | a≤0 |
3.若0<x1<x2<1,则( )
| A. | ${x_2}{e^{x_1}}>{x_1}{e^{x_2}}$ | B. | ${x_2}{e^{x_1}}<{x_1}{e^{x_2}}$ | ||
| C. | lnx2-lnx1>2x2-2x1 | D. | lnx2-lnx1<2x2-2x1 |
2.设函数$f(x)=\left\{\begin{array}{l}3x+1,x<1\\{2^{x+b}},x≥1\end{array}\right.$,若$f[f(\frac{2}{3})]=4$,则b=( )
| A. | -2 | B. | -1 | C. | 1 | D. | 2 |
17.已知数列{an}的前n项和为Sn,${a_n}={({-1})^{n-1}}(4n-3)$,则S11的值等于( )
| A. | 21 | B. | -21 | C. | 41 | D. | 61 |
16.设等差数列{an}的前n项和为Sn,若S3=3,S6=15,则a10+a11+a12=( )
0 236305 236313 236319 236323 236329 236331 236335 236341 236343 236349 236355 236359 236361 236365 236371 236373 236379 236383 236385 236389 236391 236395 236397 236399 236400 236401 236403 236404 236405 236407 236409 236413 236415 236419 236421 236425 236431 236433 236439 236443 236445 236449 236455 236461 236463 236469 236473 236475 236481 236485 236491 236499 266669
| A. | 21 | B. | 30 | C. | 12 | D. | 39 |