函数f(x)=sin(2/3x+π/2)+sin(2/3x)的图像的相邻两条对称轴之间的距离是

来源：学生作业学帮网编辑：学帮网时间：2024/06/05 10:48:56

f(x)=cos2x/3+sin2x/3
=√2sin(2x/3+π/4)
对称轴就是取最值得地方
所以即sin(2x/3+π/4)=±1
所以相邻的就是差半个周期
T=2π/(2/3)=3π
所以距离是3π/2

3π/2

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