18.“α=$\frac{π}{6}$”是“tanα=$\frac{\sqrt{3}}{3}$”( )条件.
| A. | 必要不充分 | B. | 充分不必要 | ||
| C. | 充分必要 | D. | 既不充分也不必要 |
16.已知f(x)是定义域为R的偶函数,当x≤0时,f(x)=x2-2x,那么不等式f(x+1)>3的解集是( )
| A. | (-∞,2)∪(2,+∞) | B. | (-∞,-2)∪(0,+∞) | C. | (-∞,0)∪(2,+∞) | D. | (-∞,-1)∪(1,+∞) |
15.已知等比数列{an}的前n项和为Sn=2n-1+k,则f(x)=x3-kx2-2x+1的极大值为( )
| A. | 2 | B. | $\frac{5}{2}$ | C. | 3 | D. | $\frac{7}{2}$ |
14.已知g(x)=(ax-$\frac{b}{x}$-2a)ex(a>0),若存在x0∈(1,+∞),使得g(x0)+g'(x0)=0,则$\frac{b}{a}$的取值范围是( )
| A. | (-1,+∞) | B. | (-1,0) | C. | (-2,+∞) | D. | (-2,0) |
13.在△ABC中,角A,B,C的对边分别是a,b,c,已知b=2,c=2$\sqrt{2}$,则C=$\frac{π}{4}$,则△ABC的面积为( )
| A. | $2\sqrt{3}+2$ | B. | $\sqrt{3}+1$ | C. | $2\sqrt{3}-2$ | D. | $\sqrt{3}-1$ |
11.已知函数f(x)=$\left\{{\begin{array}{l}{{2^x}+1,x≤0}\\{{{log}_2}x+a,x>0}\end{array}}$,若f(f(0))=3a,则a=( )
| A. | $\frac{1}{2}$ | B. | $-\frac{1}{2}$ | C. | -1 | D. | 1 |
10.设命题p:?x0>0,cosx0+sinx0>1,则¬p为( )
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| A. | ?x>0,cosx+sinx>1 | B. | ?x0≤0,cosx0+sinx0≤1 | ||
| C. | ?x>0,cosx+sinx≤1 | D. | ?x0>0,cosx0+sinx0≤1 |