11.
过椭圆C:$\frac{{x_{\;}^2}}{{a_{\;}^2}}+\frac{{y_{\;}^2}}{{b_{\;}^2}}=1$(a>b>0)的左顶点A且斜率为k的直线交椭圆C于另一点B.且点B在x轴上射影恰好为右焦点F,若$\frac{1}{6}<|k|<\frac{1}{3}$,则椭圆C的离心率取值范围是( )
| A. | ($\frac{2}{3},\frac{5}{6}$) | B. | ($\frac{2}{3}$,1) | C. | ($\frac{1}{4},\frac{3}{4}$) | D. | ($\frac{1}{4},\frac{5}{4}$) |
10.函数$f(x)=\frac{2}{x}$的单调递减区间为( )
| A. | (-∞,+∞) | B. | (-∞,0)∪(0,+∞) | C. | (-∞,0),(0,+∞) | D. | (0,+∞) |
7.己知函数f(x)=x3+2x2f'(1)+2,函数f(x)在点(2,f(2))的切线的倾斜角为α,则sin2(π+α)-sin($\frac{π}{2}$+α)cos($\frac{3π}{2}$-α)的值为( )
0 234685 234693 234699 234703 234709 234711 234715 234721 234723 234729 234735 234739 234741 234745 234751 234753 234759 234763 234765 234769 234771 234775 234777 234779 234780 234781 234783 234784 234785 234787 234789 234793 234795 234799 234801 234805 234811 234813 234819 234823 234825 234829 234835 234841 234843 234849 234853 234855 234861 234865 234871 234879 266669
| A. | $\frac{9}{17}$ | B. | $\frac{20}{17}$ | C. | $\frac{3}{16}$ | D. | $\frac{21}{19}$ |