8.定义在(0,π)上的函数y=f(x)满足f′(x)<f(x)•cotx,则下列不等式错误的是( )
| A. | sin1•f($\frac{1}{2}$)>sin$\frac{1}{2}$•f(1) | B. | $\frac{1}{2}$•f($\frac{1}{2}$)>sin$\frac{1}{2}$•f($\frac{π}{6}$) | ||
| C. | sin2•f(1)>sin1•f(2) | D. | f($\frac{π}{3}$)>$\sqrt{3}$f($\frac{π}{6}$) |
6.将函数f(x)=sin(2x+φ)+$\sqrt{3}$cos(2x+φ)(0<φ<π)图象向左平移$\frac{π}{4}$个单位后,得到函数的图象关于点($\frac{π}{2}$,0)对称,则函数g(x)=cos(x+φ)在[-$\frac{π}{2}$,$\frac{π}{6}$]上的最小值是( )
| A. | -$\frac{1}{2}$ | B. | -$\frac{\sqrt{3}}{2}$ | C. | $\frac{\sqrt{2}}{2}$ | D. | $\frac{1}{2}$ |
2.已知α∈(-π,-$\frac{π}{4}$),且sinα=-$\frac{1}{3}$,则cosα等于( )
| A. | -$\frac{2\sqrt{2}}{3}$ | B. | $\frac{2\sqrt{2}}{3}$ | C. | $±\frac{2\sqrt{2}}{3}$ | D. | $\frac{2}{3}$ |
1.在数列{an}中,a1=$\frac{1}{2}$,a2=$\frac{1}{3}$,anan+2=1,则a2016+a2017=( )
0 226726 226734 226740 226744 226750 226752 226756 226762 226764 226770 226776 226780 226782 226786 226792 226794 226800 226804 226806 226810 226812 226816 226818 226820 226821 226822 226824 226825 226826 226828 226830 226834 226836 226840 226842 226846 226852 226854 226860 226864 226866 226870 226876 226882 226884 226890 226894 226896 226902 226906 226912 226920 266669
| A. | $\frac{5}{6}$ | B. | $\frac{7}{3}$ | C. | $\frac{7}{2}$ | D. | 5 |