f(x)=2sin(π-x)cosx =2sinxcosx=sin2x由正弦函数图像可知：x在区间（-π/3,-π/4）内单调递减在区间（-π/4,π/6）内单调递增所以f(x)在x=π/6处取最大值 f(x)max=f(π/6)=sin2*π/6=2分之根号3f(x)在x=-π/4处取最...