已知函数y=Asin(ωx+φ)(A>0,ω>0,|φ|

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已知函数y=Asin(ωx+φ)(A>0,ω>0,|φ|已知函数y=Asin(ωx+φ)(A>0,ω>0,|φ|已知函数y=Asin(ωx+φ)(A>0,ω>0,|φ|1.最大值为2A=2读图得T/2

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

已知函数y=Asin(ωx+φ)(A>0,ω>0,|φ|
1.最大值为2 A=2
读图得T/2=3π/8-(-π/8)=π/2
T=π ω=2π/T=2
y=2sin(2x+φ) 将最值点代入知 2=2sin(-π/4+φ) φ=3π/4
y=2sin(2x+3π/4)
2.2x+3/4π∈[2kπ-π/2,2kπ+π/2]
x∈[kπ-5π/8,kπ-π/8] k∈Z
所以递增区间为[kπ-5π/8,kπ-π/8]

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