13.给出定义:设f'(x)是函数y=f(x)的导函数,f''(x)是函数f'(x)的导函数,若f''(x)=0方程有实数解x0,则称点(x0,f(x0))为函数f(x)的“拐点”.已知函数f(x)=2x+sinx-cosx的拐点是M(x0,f(x0)),则直线OM的斜率为( )
| A. | 2 | B. | $\frac{1}{2}$ | C. | 1 | D. | $\frac{π}{4}$ |
12.若变量x,y满足$\left\{\begin{array}{l}x-4y+3≤0\\ 3x+5y-25≤0\\ x≥1\end{array}\right.$,实数$\frac{z}{2}$是2x和y的等差中项,则z的最大值为( )
| A. | 3 | B. | 6 | C. | 12 | D. | 15 |
11.已知l为一条直线,α,β为两个不同的平面,则下列说法正确的是( )
| A. | 若l∥α,α∥β,则l∥β | B. | 若α⊥β,l⊥α,则l⊥β | C. | 若l∥α,α⊥β,则l⊥β | D. | 若l⊥α,α∥β,则l⊥β |
10.己知函数y=f(x)-2x是偶函数,且f(1)=2,则f(-1)=( )
| A. | 2 | B. | -2 | C. | 0 | D. | 1 |
9.设$a={2^{0.01}},b=lg2,c=sin\frac{9π}{5}$,则a,b,c的大小关系为( )
| A. | a>b>c | B. | a>c>b | C. | b>a>c | D. | c>a>b |
8.设集合U=R,集合$A=\left\{{x\left|{{{log}_2}x<1}\right.}\right\},B=\left\{{x\left|{{x^2}-2x-3≤0}\right.}\right\}$,则(∁UA)∩B=( )
| A. | [2,3] | B. | [-1,2] | C. | [-1,0] | D. | [-1,0]∪[2,3] |
7.已知{an}为等差数列,a1+a3+a5=105,a2+a4+a6=99,则a20等于( )
| A. | 7 | B. | 3 | C. | -1 | D. | 1 |
6.已知全集U={1,2,3,4},集合A={1,2},B={2,3},则A∪(∁UB)=( )
| A. | {1} | B. | {2,3} | C. | {1,2,4} | D. | {2,3,4} |
5.已知矩形tanA=3tanC,E、F分别是BC、AD的中点,且BC=2AB=2,现沿EF将平面ABEF折起,使平面ABEF⊥平面EFDC,则三棱锥A-FEC的外接球的体积为( )
| A. | $\frac{{\sqrt{3}}}{3}π$ | B. | $\frac{{\sqrt{3}}}{2}π$ | C. | $\sqrt{3}π$ | D. | $2\sqrt{3}π$ |
4.数列{an}中,a3=1,a5=1,如果数列{$\frac{1}{{a}_{n}+1}$}是等差数列,则a11=( )
0 235606 235614 235620 235624 235630 235632 235636 235642 235644 235650 235656 235660 235662 235666 235672 235674 235680 235684 235686 235690 235692 235696 235698 235700 235701 235702 235704 235705 235706 235708 235710 235714 235716 235720 235722 235726 235732 235734 235740 235744 235746 235750 235756 235762 235764 235770 235774 235776 235782 235786 235792 235800 266669
| A. | 1 | B. | $\frac{1}{11}$ | C. | -$\frac{1}{13}$ | D. | -$\frac{1}{7}$ |