6.设a=log23,b=log0.53,c=3-2,则( )
| A. | a>b>c | B. | b>a>c | C. | a>c>b | D. | c>b>a |
4.若x,y满足不等式组$\left\{{\begin{array}{l}{2x+y-4≥0}\\{x+y-3≤0}\\{y≥0}\end{array}}\right.$,则3x+2y的最大值是( )
| A. | 6 | B. | 7 | C. | 9 | D. | 10 |
3.设{an}是等比数列,公比q=2,Sn为{an}的前n项和.记${T_n}=\frac{{17{S_n}-{S_{2n}}}}{{{a_{n+1}}}}$,n∈N*,设Tn为数列{Tn}最大项,则n=( )
| A. | 2 | B. | 3 | C. | 4 | D. | 5 |
1.已知定义在R上的函数 f (x)满足①f(2-x)=f(x)②f(x+2)=f(x-2)③x1,x2∈[1,3]时,$\frac{f({x}_{1})-f({x}_{2})}{{x}_{1}-{x}_{2}}$<0则 f(2014),f(2015),f(2016)的大小关系为( )
| A. | f (2014)>f (2015)>f (2016) | B. | f (2016)>f (2014)>f (2015) | ||
| C. | f (2016)=f (2014)>f (2015) | D. | f (2014)>f (2015)=f (2016) |
20.已知函数f(x)=$\left\{\begin{array}{l}{1-{e}^{-x},x≤0}\\{\sqrt{2x},x>0}\end{array}\right.$,若|f(x)|≥ax,则实数a的取值范围为( )
| A. | (-∞,0] | B. | (-∞,-1] | C. | [-2,0] | D. | [-1,0] |
19.比较a=2-3.1,b=0.53,c=log3.14,则a,b,c的大小关系是( )
0 250637 250645 250651 250655 250661 250663 250667 250673 250675 250681 250687 250691 250693 250697 250703 250705 250711 250715 250717 250721 250723 250727 250729 250731 250732 250733 250735 250736 250737 250739 250741 250745 250747 250751 250753 250757 250763 250765 250771 250775 250777 250781 250787 250793 250795 250801 250805 250807 250813 250817 250823 250831 266669
| A. | c<b<a | B. | b<c<a | C. | a<c<b | D. | a<b<c |