设函数f(x)=sin(wx-π/6)-2cos平方w/2乘以x+1(w>0)直线y=f(x)图像相邻两交点的距离为π,则函数y=f(x)区间【0,π】上的单调增区间为,
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![设函数f(x)=sin(wx-π/6)-2cos平方w/2乘以x+1(w>0)直线y=f(x)图像相邻两交点的距离为π,则函数y=f(x)区间【0,π】上的单调增区间为,](/uploads/image/z/2625969-57-9.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3Dsin%28wx-%CF%80%2F6%EF%BC%89-2cos%E5%B9%B3%E6%96%B9w%2F2%E4%B9%98%E4%BB%A5x%2B1%28w%3E0%29%E7%9B%B4%E7%BA%BFy%3Df%28x%29%E5%9B%BE%E5%83%8F%E7%9B%B8%E9%82%BB%E4%B8%A4%E4%BA%A4%E7%82%B9%E7%9A%84%E8%B7%9D%E7%A6%BB%E4%B8%BA%CF%80%2C%E5%88%99%E5%87%BD%E6%95%B0y%3Df%28x%29%E5%8C%BA%E9%97%B4%E3%80%900%2C%CF%80%E3%80%91%E4%B8%8A%E7%9A%84%E5%8D%95%E8%B0%83%E5%A2%9E%E5%8C%BA%E9%97%B4%E4%B8%BA%2C)
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设函数f(x)=sin(wx-π/6)-2cos平方w/2乘以x+1(w>0)直线y=f(x)图像相邻两交点的距离为π,则函数y=f(x)区间【0,π】上的单调增区间为,
设函数f(x)=sin(wx-π/6)-2cos平方w/2乘以x+1(w>0)直线y=f(x)图像相邻两交点的距离为π,则函数y=f(x)
区间【0,π】上的单调增区间为,
设函数f(x)=sin(wx-π/6)-2cos平方w/2乘以x+1(w>0)直线y=f(x)图像相邻两交点的距离为π,则函数y=f(x)区间【0,π】上的单调增区间为,
设函数f(x)=sin(wx-π/6)-2cos平方w/2乘以x+1(w>0)直线y=f(x)图像相邻两交点的距离为π,则函数y=f(x)区间【0,π】上的单调增区间为,
解析:∵函数f(x)=sin(wx-π/6)-2(cos(wx/2))^2+1=sin(wx-π/6)-coswx=√3sin(wx-π/3)
∵y=f(x)图像相邻两交点的距离为π
∴T/2=π==>T=2π==>w=1
∴f(x)=√3sin(x-π/3)
2kπ-π/2
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