f(x)=1/2*根号3*2sinxcosx+(1-cos2x)/2=根号3/2sin2x-1/2cos2x+1=sin(2x+π/6)+11、T=2π/2=π +kπ f(x)∈{0,2} 2x+π/6∈{-π/2+2kπ,π/2+2kπ} y单增x∈{-π/3+kπ,π/6+kπ} y单增2、x∈{π/2,π}2x+π/6∈{π/6+π,π+2π}sin(2x+π/6)∈{-1/2,1}f(x)最大值是2,,最小值是1/2