8.设f(x)=$\left\{\begin{array}{l}{3{e}^{x-1},x<2}\\{lo{g}_{2}({x}^{2}-1),x≥2}\end{array}\right.$,则不等式f(x)<3的解集为( )
| A. | (-∞,$\sqrt{7}$) | B. | (-∞,3) | C. | (-∞,1)∪[2,$\sqrt{7}$) | D. | (-∞,1)∪[2,3) |
7.将函数f(x)=sinπx的图象向左平移$\frac{1}{2}$个单位后得到函数g(x)的图象,若f(x)和g(x)在区间[-1,2]上的图象交于A,B,C三点,则△ABC的面积是( )
| A. | $\frac{\sqrt{2}}{2}$ | B. | $\frac{3\sqrt{2}}{4}$ | C. | $\sqrt{2}$ | D. | $\frac{5\sqrt{2}}{4}$ |
6.运行如图所示的程序框图,输出的结果是( )

| A. | 5 | B. | 8 | C. | 10 | D. | 13 |
5.某个零件的三视图如图所示,网格上小正方形的边长为1,则该零件的体积等于( )

| A. | 24-2π | B. | 24-4π | C. | 32-2π | D. | 48-4π |
4.在等差数列{an}中,a10=$\frac{1}{2}$a14-6,则数列{an}的前11项和等于( )
| A. | 132 | B. | 66 | C. | -132 | D. | -66 |
3.已知复数z满足(z+1)(1+i)=1-i,则|z|=( )
| A. | 1 | B. | $\sqrt{2}$ | C. | $\sqrt{3}$ | D. | $\sqrt{5}$ |
2.已知集合A={x|2x2-7x<0},B={0,1,2,3,4},则(∁RA)∩B=( )
| A. | {0} | B. | {1,2,3} | C. | {0,4} | D. | {4} |
20.执行如图所示的程序框图,如果随机输入的t∈[-2,2],则事件“输出的S∈(-1,7]”发生的概率为( )

| A. | $\frac{1}{2}$ | B. | $\frac{4}{5}$ | C. | $\frac{8}{9}$ | D. | $\frac{2}{3}$ |
19.若$\frac{2co{s}^{2}α+cos(\frac{π}{2}+2α)-1}{\sqrt{2}sin(2α+\frac{π}{4})}$=4,则tan(2α+$\frac{π}{4}$)=( )
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| A. | $\frac{1}{2}$ | B. | $\frac{1}{3}$ | C. | $\frac{1}{4}$ | D. | $\frac{1}{5}$ |