已知函数f(x)=√3 sin( wx+φ)-cos(wx+φ) (0
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已知函数f(x)=√3sin(wx+φ)-cos(wx+φ)(0已知函数f(x)=√3sin(wx+φ)-cos(wx+φ)(0已知函数f(x)=√3sin(wx+φ)-cos(wx+φ)(0解:∵函
已知函数f(x)=√3 sin( wx+φ)-cos(wx+φ) (0
已知函数f(x)=√3 sin( wx+φ)-cos(wx+φ) (0
已知函数f(x)=√3 sin( wx+φ)-cos(wx+φ) (0
解:∵函数y=f(x)图像的两相邻对称轴的距离为π/2 ∴f(x)的周期为π 即:w=2 化简得:f(x)=√3 sin( wx+φ)-cos(wx+φ)=2sin(2x+φ+π/6) 又∵f(x)为偶函数,所以φ+π/6=π,解得φ=5π/6 所以函数f(x)=2sin(2x+π)=2cos2x(1)f(π/8)=2cos(2×π/8)=√2 (2)y=f(x)的图像向右平移π/6 个单位,f(x)=2cos(2(x-π/6)=2cos(2x-π/3) 得到的图像上各点的横坐标伸长到原来的4倍g(x)=2cos(x/2-π/3) 2kπ≤x/2-π/3≤2kπ+π 解得:4kπ+2π/3≤x≤4kπ+8π/3 所以,g(x)的单调递减区间[4kπ+2π/3,4kπ+8π/3]
已知函数f(x)=√3sin(wx+φ)-cos(wx+φ)(0
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