设函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|
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设函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|
最高点到x轴交点经历1/4周期,因此周期为4*(3π/8-π/8)=π,ω = 2
而最高点为(π/8,2)可以知道2x + φ =2π/8+ φ= kπ + π/2,φ= kπ + π/4,
|φ| φ = π/4
Asin(2*π/8 + π/4) = A = 2
因此f(x)=2sin(2x +π/4)
g(x) = f(x-π/4) = 2sin(2(x-π/4)+π/4) = 2sin(2x-π/4)
很显然 ,x在[-π/8,7π/8]中单调上升
而最高点为(π/8,2)可以知道2x + φ =2π/8+ φ= kπ + π/2,φ= kπ + π/4,
|φ| φ = π/4
Asin(2*π/8 + π/4) = A = 2
因此f(x)=2sin(2x +π/4)
g(x) = f(x-π/4) = 2sin(2(x-π/4)+π/4) = 2sin(2x-π/4)
很显然 ,x在[-π/8,7π/8]中单调上升
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