6.椭圆C:$\frac{{x}^{2}}{{a}^{2}}$+$\frac{{y}^{2}}{{b}^{2}}$=1(a>b>0)的两焦点为F1,F2,P为椭圆C上一点,且PF2⊥x轴,若△PF1F2的内切圆半径r=$\frac{\sqrt{{a}^{2}-{b}^{2}}}{2}$,则椭圆C的离心率为( )
| A. | $\frac{1}{4}$ | B. | $\frac{1}{2}$ | C. | $\frac{\sqrt{2}}{2}$ | D. | $\frac{\sqrt{3}}{2}$ |
1.已知|$\overrightarrow{a}$|=4,|$\overrightarrow{b}$|=3,$\overrightarrow{a}$,$\overrightarrow{b}$的夹角为60°,则满足条件|m$\overrightarrow{a}$+$\overrightarrow{b}$|=$\sqrt{33}$的所有实数m之和为( )
| A. | -$\frac{3}{4}$ | B. | $\frac{3}{4}$ | C. | $\frac{1}{4}$ | D. | -$\frac{1}{4}$ |
19.
函数f(x)=Asin(ωx+φ)(x∈R,A>0,ω>0),|φ|<$\frac{π}{2}$的部分图象如图所示,则f($\frac{π}{4}$)等于( )
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| A. | 1 | B. | $\frac{1}{2}$ | C. | $\frac{\sqrt{2}}{2}$ | D. | $\frac{\sqrt{3}}{2}$ |