已知函数fx=Asin(wx+φ) (x∈R,A>0,w>0,0

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已知函数fx=Asin(wx+φ) (x∈R,A>0,w>0,0
已知函数fx=Asin(wx+φ) (x∈R,A>0,w>0,0

已知函数fx=Asin(wx+φ) (x∈R,A>0,w>0,0
A=2
T=4*[π/6-(-π/6)]=4π/3w=2π/(4π/3)=1.5f(x)=2sin(1.5x+φ)2sin(1.5*π/6+φ)=2π/6+φ=π/2φ=π/3
f(x)=2sin(1.5x+π/3)
g(x)=[f(x-π/12)]^2
=[2sin(1.5(x-π/12)+π/3)]^2
=[2sin(1.5x+π/12)]^2
=2-2cos(3x+π/6)
-π/6≤x≤π/3
-π/3≤3x+π/6≤7π/6
3x+π/6=π
x=5π/18
ymax=4

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