x=派/6,f(x)最大=2;x=派/2;f(x)最小=-1
∵x∈[0,π/2]∴(2x+π/6)∈[π/6,7π/6]∴sinx∈[-1/2,1]∴f(x)∈[-1,2]当x=π/2时,fmin(x)=-1当x=π/6时,fmax(x)=2
x=派/6 最大2x=派/2 最小 -1