f(kx)=2sin(kx-π/3)+1首先周期t=2π/3 因為 t=2π/k=2π/3所以 k=3 因為x∈[0,π/3] 所以 kx∈[0,π]
記kx=n 故f(n)=2sin(n-π/3)+1 記u=n-π/3∈[-π/3,2π/3] 有兩個不同解就是y=m與之有兩個交點 根據(jù)函數(shù)圖像可知 m∈[根號3+1,3]
已知函數(shù)f(x)=2sin(x-π/3)+1,若函數(shù)y=f(kx)(k>0)的周期為2π/3,當x∈[0,π/3]時,方程f(kx)=m恰有兩個不同的解,求實數(shù)m的取值范圍?
已知函數(shù)f(x)=2sin(x-π/3)+1,若函數(shù)y=f(kx)(k>0)的周期為2π/3,當x∈[0,π/3]時,方程f(kx)=m恰有兩個不同的解,求實數(shù)m的取值范圍?
數(shù)學人氣:291 ℃時間:2020-01-29 06:58:07
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