17.已知函数$f(n)=\left\{\begin{array}{l}{n^2}(当n为奇数时)\\-{n^2}(当n为偶数时)\end{array}\right.$且an=f(n)+f(n+1),则a1+a2+…+a99等于( )
| A. | 0 | B. | 100 | C. | -101 | D. | -99 |
16.设a>$\frac{1}{2}$,b>0,若a+b=2,则$\frac{1}{2a-1}+\frac{2}{b}$的最小值为( )
| A. | 3+2$\sqrt{2}$ | B. | 6 | C. | 9 | D. | 3 |
15.数列{an}满足a1=2,a2=1,并且$\frac{1}{{{a_{n-1}}}}=\frac{2}{a_n}-\frac{1}{{{a_{n+1}}}}(n≥2)$.则a10+a11=( )
| A. | $\frac{19}{2}$ | B. | $\frac{21}{2}$ | C. | $\frac{21}{55}$ | D. | $\frac{23}{66}$ |
14.对于常数m、n,“关于x的方程x2-mx+n=0有两个正根”是“方程mx2+ny2=1的曲线是椭圆”的( )
| A. | 充分不必要条件 | B. | 必要不充分条件 | ||
| C. | 充要条件 | D. | 既不充分不必要条件 |
13.已知命题p:“?x∈R,x2-x+2≥0”,则¬p是( )
| A. | ?x∉R,x2-x+2>0 | B. | ?x0∈R,x02-x0+2≤0 | ||
| C. | ?x0∈R,$x_0^2-{x_0}+2<0$ | D. | ?x0∉R,$x_0^2-{x_0}+2≤0$ |
12.设a,b是非零实数,若a>b,则一定有( )
0 236487 236495 236501 236505 236511 236513 236517 236523 236525 236531 236537 236541 236543 236547 236553 236555 236561 236565 236567 236571 236573 236577 236579 236581 236582 236583 236585 236586 236587 236589 236591 236595 236597 236601 236603 236607 236613 236615 236621 236625 236627 236631 236637 236643 236645 236651 236655 236657 236663 236667 236673 236681 266669
| A. | $a+\frac{1}{b}>b+\frac{1}{a}$ | B. | $\frac{1}{{a{b^2}}}>\frac{1}{{{a^2}b}}$ | C. | $\frac{1}{a}<\frac{1}{b}$ | D. | ab>b2 |