已知函数f(x)=Asin(wx+φ) )(A>0,w>0,0<φ<π/2),x∈R,周期为π已知函数f(x)=Asin(wx+φ)(A>0,w>0,0<φ<π/2),x∈R,周期为π,且图像上一个最低点为M(2π/3,-2).1 求f(x)的解析式2 当x∈[0,π/12]时,求f(x)
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![已知函数f(x)=Asin(wx+φ) )(A>0,w>0,0<φ<π/2),x∈R,周期为π已知函数f(x)=Asin(wx+φ)(A>0,w>0,0<φ<π/2),x∈R,周期为π,且图像上一个最低点为M(2π/3,-2).1 求f(x)的解析式2 当x∈[0,π/12]时,求f(x)](/uploads/image/z/2623391-71-1.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3DAsin%28wx%2B%CF%86%29+%29%EF%BC%88A%EF%BC%9E0%2Cw%EF%BC%9E0%2C0%EF%BC%9C%CF%86%EF%BC%9C%CF%80%2F2%EF%BC%89%2Cx%E2%88%88R%2C%E5%91%A8%E6%9C%9F%E4%B8%BA%CF%80%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3DAsin%28wx%2B%CF%86%29%EF%BC%88A%EF%BC%9E0%2Cw%EF%BC%9E0%2C0%EF%BC%9C%CF%86%EF%BC%9C%CF%80%2F2%EF%BC%89%2Cx%E2%88%88R%2C%E5%91%A8%E6%9C%9F%E4%B8%BA%CF%80%2C%E4%B8%94%E5%9B%BE%E5%83%8F%E4%B8%8A%E4%B8%80%E4%B8%AA%E6%9C%80%E4%BD%8E%E7%82%B9%E4%B8%BAM%282%CF%80%2F3%2C-2%29.1+%E6%B1%82f%28x%29%E7%9A%84%E8%A7%A3%E6%9E%90%E5%BC%8F2+%E5%BD%93x%E2%88%88%5B0%2C%CF%80%2F12%5D%E6%97%B6%2C%E6%B1%82f%28x%29)
已知函数f(x)=Asin(wx+φ) )(A>0,w>0,0<φ<π/2),x∈R,周期为π已知函数f(x)=Asin(wx+φ)(A>0,w>0,0<φ<π/2),x∈R,周期为π,且图像上一个最低点为M(2π/3,-2).1 求f(x)的解析式2 当x∈[0,π/12]时,求f(x)
已知函数f(x)=Asin(wx+φ) )(A>0,w>0,0<φ<π/2),x∈R,周期为π
已知函数f(x)=Asin(wx+φ)(A>0,w>0,0<φ<π/2),x∈R,周期为π,且图像上一个最低点为M(2π/3,-2).
1 求f(x)的解析式
2 当x∈[0,π/12]时,求f(x)的最值
已知函数f(x)=Asin(wx+φ) )(A>0,w>0,0<φ<π/2),x∈R,周期为π已知函数f(x)=Asin(wx+φ)(A>0,w>0,0<φ<π/2),x∈R,周期为π,且图像上一个最低点为M(2π/3,-2).1 求f(x)的解析式2 当x∈[0,π/12]时,求f(x)
T=2π/w=π
w=2
A=|-2|=2
则-2=2sin(2*2π/3+φ)
4π/3+φ=3π/2
φ=π/6
f(x)=2sin(2x+π/6)
0<=x<=π/12
π/6<=2x+π/6<=π/3
所以
最大=2sinπ/3=√3
最小=2sinπ/6=1
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