y=2(1/2sin1/2x+√3/2cos1/2x)=2sin(1/2x+π/3).
所以:当1/2x+π/3=π/2+2kπ时,即x=π/3+4kπ时,ymax=2;
当1/2x+π/3=-π/2+2kπ时,即x=-5π/3+4kπ时,ymin=-2;
最小正周期T=2π/(1/2)=4π,
y=2(1/2sin1/2x+√3/2cos1/2x)=2sin(1/2x+π/3).
所以:当1/2x+π/3=π/2+2kπ时,即x=π/3+4kπ时,ymax=2;
当1/2x+π/3=-π/2+2kπ时,即x=-5π/3+4kπ时,ymin=-2;
最小正周期T=2π/(1/2)=4π,