19.已知α∈(0,π)且$cos({\frac{π}{4}+α})=\frac{3}{5}$,则cosα的值为( )
| A. | $\frac{{\sqrt{2}}}{10}$ | B. | $-\frac{{\sqrt{2}}}{10}$ | C. | $\frac{{7\sqrt{2}}}{10}$ | D. | $-\frac{{7\sqrt{2}}}{10}$ |
18.将函数y=sinx的图象上的点的横坐标扩大为原来的2倍,纵坐标不变得到图象C1,再将图象C1向右平移$\frac{π}{3}$个单位得到的图象C2,则图象C2所对应的函数的解析式为( )
| A. | $y=sin({\frac{1}{2}x-\frac{π}{3}})$ | B. | $y=sin({\frac{1}{2}x-\frac{π}{6}})$ | C. | $y=sin({2x-\frac{π}{3}})$ | D. | $y=sin({2x-\frac{2π}{3}})$ |
17.已知一个扇形的周长为10cm,圆心角为2弧度,则这个扇形的面积为( )cm2.
| A. | 25 | B. | 5 | C. | $\frac{25}{4}$ | D. | $\frac{25}{2}$ |
16.“$α=\frac{π}{6}$”是“$sinα=\frac{1}{2}$”的( )条件.
| A. | 充分不必要 | B. | 必要不充分 | ||
| C. | 充要 | D. | 既不充分也不必要 |
15.已知集合A={x|2x≤4},B={x|log2x>0},则A∩B=( )
| A. | [1,2] | B. | (1,2] | C. | (0,1) | D. | (0,1] |
12.函数$f(x)=\left\{{\begin{array}{l}{x+1(x≤-1)}\\{{x^2}(-1<x<2)}\\{2x(x≥2)}\end{array}}\right.$,若f(x)=2,则x的值是( )
0 225694 225702 225708 225712 225718 225720 225724 225730 225732 225738 225744 225748 225750 225754 225760 225762 225768 225772 225774 225778 225780 225784 225786 225788 225789 225790 225792 225793 225794 225796 225798 225802 225804 225808 225810 225814 225820 225822 225828 225832 225834 225838 225844 225850 225852 225858 225862 225864 225870 225874 225880 225888 266669
| A. | $\sqrt{2}$ | B. | $±\sqrt{2}$ | C. | 0或1 | D. | $\sqrt{3}$ |