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问题: 函数y=sin(3x pai/3)cos(x-pai/6) cos(3x pai/3)cos(x pai/3)的图象的一条对称轴

解答:

y=sin(3x+π/3)cos(x-π/6)+cos(3x+π/3)cos(x+π/3)
=sin(3x+π/3)sin(x+π/3)+cos(3x+π/3)cos(x+π/3)
=cos(3x+π/3-x-π/3)=cos(2x)
x=kπ/2对称轴