2.四个数40.2,30.5,30.4,log0.40.5的大小顺序是( )
| A. | ${4^{0.2}}<{3^{0.4}}<{log_{0.4}}0.5<{3^{0.5}}$ | B. | ${log_{0.4}}0.5<{3^{0.4}}<{4^{0.2}}<{3^{0.5}}$ | ||
| C. | ${log_{0.4}}0.5<{3^{0.5}}<{4^{0.2}}<{3^{0.4}}$ | D. | ${log_{0.4}}0.5<{4^{0.2}}<{3^{0.4}}<{3^{0.5}}$ |
1.已知tanα=2,则sin2α+sinαcosα的值为( )
| A. | $\frac{6}{5}$ | B. | 1 | C. | $\frac{4}{5}$ | D. | $\frac{2}{3}$ |
20.在${({\sqrt{x}+\frac{3}{x}})^n}$的展开式中,各二项式系数之和为64,则展开式中常数项为( )
| A. | 135 | B. | 105 | C. | 30 | D. | 15 |
19.i为虚数单位,已知复数z满足$\frac{2}{1+i}=\overline z+i$,则z=( )
| A. | 1+i | B. | -1+i | C. | 1+2i | D. | 1-2i |
18.设集合M={x|x≥2},N={x|x2-6x+5<0},则M∩N=( )
| A. | (1,5) | B. | [2,5) | C. | (1,2] | D. | [2,+∞) |
17.已知数列{an}、{bn}满足bn=log2an,n∈N+,其中{bn}是等差数列,且a9a2009=4,则b1+b2+b3+…+b2017=( )
| A. | 2016 | B. | 2017 | C. | log22017 | D. | $\frac{2017}{2}$ |
16.若复数$z=\frac{1+i}{1-i}$,$\overline z$为z的共轭复数,则${({\overline z})^{2017}}$=( )
0 237397 237405 237411 237415 237421 237423 237427 237433 237435 237441 237447 237451 237453 237457 237463 237465 237471 237475 237477 237481 237483 237487 237489 237491 237492 237493 237495 237496 237497 237499 237501 237505 237507 237511 237513 237517 237523 237525 237531 237535 237537 237541 237547 237553 237555 237561 237565 237567 237573 237577 237583 237591 266669
| A. | i | B. | -i | C. | -22017i | D. | 22017i |