函数f(x)=5sin(2x+ψ),若f(a)=5,则比较f(a+π/12)和f(a+5π/6)

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函数f(x)=5sin(2x+ψ),若f(a)=5,则比较f(a+π/12)和f(a+5π/6)
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函数f(x)=5sin(2x+ψ),若f(a)=5,则比较f(a+π/12)和f(a+5π/6)
函数f(x)=5sin(2x+ψ),若f(a)=5,则比较f(a+π/12)和f(a+5π/6)

函数f(x)=5sin(2x+ψ),若f(a)=5,则比较f(a+π/12)和f(a+5π/6)
函数f(x)=5sin(2x+ψ),若f(a)=5,则比较f(a+π/12)和f(a+5π/6)
因为 f(a)=5
所以5sin(2a+ψ)=5 sin(2a+ψ)=1 2a+ψ=kπ+π/2 设2a+ψ=π/2
而f(a+π/12)=5sin(2a+π/6+ψ)
f(a+5π/6)=5sin(2a-π/3+ψ)
所以f(a+π/12)=5sin(π/2+π/6)=5sin(2π/3))=5sin(π/3)
f(a+5π/6)=5sin(π/6)
所以 f(a+π/12)>f(a+5π/6)

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