设函数y=3sin(2x+φ)(0

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设函数y=3sin(2x+φ)(0

设函数y=3sin(2x+φ)(0
设函数y=3sin(2x+φ)(0

设函数y=3sin(2x+φ)(0
函数y=3sin(2x+φ)的对称轴是x=-φ/2+kπ/2,k是整数
由π/3=-φ/2+π/4+kπ/2,0

f(x)=3sin(2x+φ)
图象关于直线x=π/3对称,则: f(π/3)=+ -3
而:f(π/3)=3sin(2π/3 +φ)=3sin(π/2 +(φ+ π/6))
所以:φ+ π/6=0, φ= -π/6 (舍弃)
或者:φ+ π/6=π,φ= 5π/6
或者:φ+ π/6=2π,φ=11π/6(舍弃)