6.椭圆$\frac{x^2}{a^2}+\frac{y^2}{b^2}$=1(a>b>0)的长轴长、短轴长、焦距成等差数列,则椭圆的离心率是( )
| A. | $\frac{3}{5}$ | B. | $\frac{4}{5}$ | C. | $\frac{{\sqrt{5}-1}}{2}$ | D. | $\frac{{\sqrt{2}}}{2}$ |
5.公比为2的等比数列{an} 的各项都是正数,且a3a11=16,则a5=( )
| A. | 4 | B. | 2 | C. | 1 | D. | 8 |
3.函数f(x)=$\left\{\begin{array}{l}lgx,x>0\\-{2^x}+a,x≤0\end{array}$有且只有一个零点的充分且必要条件是( )
| A. | a<0 | B. | 0<a<$\frac{1}{2}$ | C. | $\frac{1}{2}$<a<1 | D. | a≤0或a>1 |
2.已知1-x+x2-x3+…+x8=a0+a1(x+1)+a2(x+1)2+…+an(x+1)8,则a2=( )
| A. | 120 | B. | 84 | C. | 72 | D. | 48 |
1.
如图,已知△ABC中,点M在线段AC上,点P在线段BM上且满足$\frac{AM}{MC}=\frac{MP}{PB}$=2,若$|\overrightarrow{AB}|$=2,$|\overrightarrow{AC}|$=3,∠BAC=120°,则$\overrightarrow{AP}•\overrightarrow{BC}$的值为( )
0 224369 224377 224383 224387 224393 224395 224399 224405 224407 224413 224419 224423 224425 224429 224435 224437 224443 224447 224449 224453 224455 224459 224461 224463 224464 224465 224467 224468 224469 224471 224473 224477 224479 224483 224485 224489 224495 224497 224503 224507 224509 224513 224519 224525 224527 224533 224537 224539 224545 224549 224555 224563 266669
| A. | -2 | B. | 2 | C. | $\frac{2}{3}$ | D. | $-\frac{11}{3}$ |