f(x)=2cosx[1/2sinx+√3/2cosx]-√3sin^2(x)+sinxcosx=sinxcosx+√3cos^2(x)-√3sin^2(x)+sinxcosx=sin2x+√3cos2x=2sin(2x+π/6)当2x+π/6=π/2+2kπ时,即x=π/6+kπ时,f(x)取最大值,y(MAX) = 2当2x+π/6=-π/2+2k...