y=Asin(ωx+φ) (A>0,ω>0)的图与x轴相交的两相邻点坐标为(π/6,0)(π/2,0)且最大值为2,则y的表达式为?
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![y=Asin(ωx+φ) (A>0,ω>0)的图与x轴相交的两相邻点坐标为(π/6,0)(π/2,0)且最大值为2,则y的表达式为?](/uploads/image/z/13967346-66-6.jpg?t=y%3DAsin%28%CF%89x%2B%CF%86%29+%28A%3E0%2C%CF%89%3E0%29%E7%9A%84%E5%9B%BE%E4%B8%8Ex%E8%BD%B4%E7%9B%B8%E4%BA%A4%E7%9A%84%E4%B8%A4%E7%9B%B8%E9%82%BB%E7%82%B9%E5%9D%90%E6%A0%87%E4%B8%BA%EF%BC%88%CF%80%2F6%2C0%EF%BC%89%28%CF%80%2F2%2C0%29%E4%B8%94%E6%9C%80%E5%A4%A7%E5%80%BC%E4%B8%BA2%2C%E5%88%99y%E7%9A%84%E8%A1%A8%E8%BE%BE%E5%BC%8F%E4%B8%BA%3F)
y=Asin(ωx+φ) (A>0,ω>0)的图与x轴相交的两相邻点坐标为(π/6,0)(π/2,0)且最大值为2,则y的表达式为?
y=Asin(ωx+φ) (A>0,ω>0)的图与x轴相交的两相邻点坐标为(π/6,0)(π/2,0)且最大值为2,则y的表达式为?
y=Asin(ωx+φ) (A>0,ω>0)的图与x轴相交的两相邻点坐标为(π/6,0)(π/2,0)且最大值为2,则y的表达式为?
最大值为2则说明A=2
T/2=π/w=π/2-π/6 ===>w=3
所以y=2sin(3x+φ)
3*(π/6)+φ=0
φ=-π/2
y=2sin(3x-π/2)=-2cos(3x)
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