设函数f(x)=sin(2x+φ)(-π

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设函数f(x)=sin(2x+φ)(-π设函数f(x)=sin(2x+φ)(-π设函数f(x)=sin(2x+φ)(-π1.y=f(x)图象的一条对称轴是直线x=π8,则sin(π4+ϕ)=

设函数f(x)=sin(2x+φ)(-π
设函数f(x)=sin(2x+φ)(-π

设函数f(x)=sin(2x+φ)(-π
1.y=f(x)图象的一条对称轴是直线 x=π8,则sin(π4+ϕ)=±1,
即π4+ϕ=kπ+π2,ϕ=kπ+π4,-π＜ϕ＜0,ϕ=-3π4
2.当 2x-3π4=2kπ+π2,即x=kπ+5π8时,最大值1
2x-3π4=2kπ-π2,x=kπ+π8时,最小值-1

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