20.在△ABC中,角A,B,C所对的边分别为a,b,c,若$\sqrt{3}$(acosB+bcosA)=2csinC,a+b=8,且△ABC的面积的最大值为4$\sqrt{3}$,则此时△ABC的形状为( )
| A. | 等腰三角形 | B. | 正三角形 | C. | 直角三角形 | D. | 钝角三角形 |
19.数列{an}满足a1=3,an-an•an+1=1,An表示{an}前n项之积,则A2016的值为( )
| A. | -$\frac{1}{2}$ | B. | $\frac{2}{3}$ | C. | -1 | D. | 1 |
18.设a>0,b>0,若$\sqrt{2}$是4a与2b的等比中项,则$\frac{1}{a}$+$\frac{2}{b}$的最小值为( )
| A. | 2$\sqrt{2}$ | B. | 8 | C. | 9 | D. | 10 |
17.已知a∈R,“函数y=logax在(0,+∞)上为减函数”是“函数y=3x+a-1有零点”的( )
| A. | 充分不必要条件 | B. | 必要不充分条件 | ||
| C. | 充要条件 | D. | 既不充分也不必要条件 |
16.已知等比数列{an}的公比为正数,且a4•a8=2a52,a2=1,则a1=( )
| A. | $\frac{1}{2}$ | B. | 2 | C. | $\sqrt{2}$ | D. | $\frac{\sqrt{2}}{2}$ |
15.在△ABC中,b=$\sqrt{3}$,c=3,B=30°,则a=( )
| A. | $\sqrt{3}$ | B. | 2$\sqrt{3}$ | C. | $\sqrt{3}$或2$\sqrt{3}$ | D. | 2 |
14.已知等差数列{an}中,a6+a8=16,a4=1,则a10的值是( )
| A. | 15 | B. | 30 | C. | 31 | D. | 64 |
13.不等式x(x-1)<2的解集是( )
| A. | {x|-2<x<1} | B. | {x|-1<x<2} | C. | {x|x>1或x<-2} | D. | {x|x>2或x<-1} |
12.?x∈R,x2-2x+3>0的否定是( )
0 233459 233467 233473 233477 233483 233485 233489 233495 233497 233503 233509 233513 233515 233519 233525 233527 233533 233537 233539 233543 233545 233549 233551 233553 233554 233555 233557 233558 233559 233561 233563 233567 233569 233573 233575 233579 233585 233587 233593 233597 233599 233603 233609 233615 233617 233623 233627 233629 233635 233639 233645 233653 266669
| A. | 不存在x∈R,使?x2-2x+3≥0 | B. | ?x∈R,x2-2x+3≤0 | ||
| C. | ?x∈R,x2-2x+3≤0 | D. | ?x∈R,x2-2x+3>0 |