已知函数f(x)=3sin(wx+α)-1(w>0,α绝对值<π/2)周期为π,且f(0)=1/2求f(x)的单调区间
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![已知函数f(x)=3sin(wx+α)-1(w>0,α绝对值<π/2)周期为π,且f(0)=1/2求f(x)的单调区间](/uploads/image/z/14777530-34-0.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D3sin%28wx%2B%CE%B1%29-1%EF%BC%88w%EF%BC%9E0%2C%CE%B1%E7%BB%9D%E5%AF%B9%E5%80%BC%EF%BC%9C%CF%80%2F2%EF%BC%89%E5%91%A8%E6%9C%9F%E4%B8%BA%CF%80%2C%E4%B8%94f%280%29%3D1%2F2%E6%B1%82f%28x%29%E7%9A%84%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B4)
已知函数f(x)=3sin(wx+α)-1(w>0,α绝对值<π/2)周期为π,且f(0)=1/2求f(x)的单调区间
已知函数f(x)=3sin(wx+α)-1(w>0,α绝对值<π/2)周期为π,且f(0)=1/2求f(x)的单调区间
已知函数f(x)=3sin(wx+α)-1(w>0,α绝对值<π/2)周期为π,且f(0)=1/2求f(x)的单调区间
因为函数周期为π,所以2π/w=π,得w=2
又因为f(0)=1/2,所以3sinα-1=1/2,计算得α=2kπ+π/6,因为α绝对值<π/2,所以α=π/6
所以f(x)=3sin(2x+π/6)-1
当2kπ-π/2
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