已知函数f(x)=Asin(wx+α)(A>0,w>0,-π/2

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已知函数f(x)=Asin(wx+α)(A>0,w>0,-π/2已知函数f(x)=Asin(wx+α)(A>0,w>0,-π/2已知函数f(x)=Asin(wx+α)(A>0,w>0,-π/2(1)∵

已知函数f(x)=Asin(wx+α)(A>0,w>0,-π/2
已知函数f(x)=Asin(wx+α)(A>0,w>0,-π/2

已知函数f(x)=Asin(wx+α)(A>0,w>0,-π/2
(1)∵T=π
∴ω=2
∵f(x)max=3
∴A=3
ω×π/6+α=π/2
∴f(x)=3sin(2x+π/6)
(2)∵3/2=3sin(2x0+π/6)
∴sin(2x0+π/6)=1/2
∴2x0+π/6=2kπ+π/6或2kπ+5π/6(k∈Z)
∴x0=kπ或kπ+π/3(k∈Z)