因为 x∈[0,π/4],从而 2x+π/4∈[π/4,3/4],正弦函数在[π/4,π/2]上增,在[π/2,3π/4]上减,从而 当 2x+π/4=π/4或 2x+π/4=3π/4时,sin(2x+π/4)有最小值为 sin(3π/4)=sin(π/4)=√2/2相应的x=0或π/4