已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|

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已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|A=2,f(0

已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|
已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|

已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|
A=2,
f(0)=1
∴ φ=π/6
f(x)=2sin(wx+π/6)
f(11π/12)=0
∴ 2sin(11wπ/12+π/6)=0
∴ w=2
即 f(x)=2sin(2x+π/6)
(2)
f(kx-π/12)=2sin(2kx)
增区间是-π/2≤2kx≤π/2
∴ -π/(4k)≤x≤π/(4k)
∴ π/3≤π/(4k)
∴ 4k/3≤1
∴ 0