15.将函数f(x)=2sin(2x+$\frac{π}{3}$)的图象向右平移φ(0<φ<π)个单位后得到函数g(x)的图象.若对满足|f(x1)-g(x2)|=4的x1、x2,有|x1-x2|的最小值为$\frac{π}{6}$,则φ=( )
| A. | $\frac{π}{3}$ | B. | $\frac{π}{6}$ | C. | $\frac{π}{3}$或$\frac{2π}{3}$ | D. | $\frac{π}{6}$或$\frac{5π}{6}$ |
11.已知椭圆C:$\frac{{x}^{2}}{{a}^{2}}$+$\frac{{y}^{2}}{{b}^{2}}$=1(a>b>0),F1,F2为其左、右焦点,P为椭圆C上除长轴端点外的任一点,G为△F1PF2内一点,满足3$\overrightarrow{PG}$=$\overrightarrow{P{F}_{1}}$+$\overrightarrow{P{F}_{2}}$,△F1PF2的内心为I,且有$\overrightarrow{IG}$=λ$\overrightarrow{{F}_{1}{F}_{2}}$(其中λ为实数),则椭圆C的离心率e=( )
| A. | $\frac{1}{3}$ | B. | $\frac{1}{2}$ | C. | $\frac{2}{3}$ | D. | $\frac{\sqrt{3}}{2}$ |
10.变量x,y满足约束条件$\left\{\begin{array}{l}{x+y≥0}\\{x-2y+2≥0}\\{mx-y≤0}{\;}\end{array}\right.$,若z=x-y的最大值为2,则实数m等于( )
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| A. | -$\frac{2}{3}$ | B. | -1 | C. | 1 | D. | $\frac{2}{3}$ |