函数y=Asin(wx+φ)+b(A>0,W>0,绝对值φ≤π) 当x=π/6时,y取最小值1;当x=5π/6时,Y取最

取最小值1：b-A=1取最大值5：b+A=5解得：A=2,b=3当x=π/6时当x=π/6时,y取最小值1；当x=5π/6时,y取最大值5∴周期T/2=5π/6-π/6=2π/3T=4π/3=2π/ww=3/21=2sin((3/2)(π/6)+φ)+3sin((π/4)+φ)=-1π/4+φ=kπ-π/2φ=kπ-3π/4绝对值φ≤πφ=-3π/4或π/4函数解析式：y=2sin((3/2)x+π/4)+3或者：y=2sin((3/2)x-3π/4)+3