已知函数f(x)=Asin(ωx+φ),x∈R(A>0.ω>0,0<φ<π/2)的图像与x轴的交点中,相邻的两个交点之间的距离为π/2,且图像上一个最低点为M(2π/3,-2)求:(1) f(x)的解析式(2)当x∈[π/12,π/2],求f(x)的
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 12:50:33
![已知函数f(x)=Asin(ωx+φ),x∈R(A>0.ω>0,0<φ<π/2)的图像与x轴的交点中,相邻的两个交点之间的距离为π/2,且图像上一个最低点为M(2π/3,-2)求:(1) f(x)的解析式(2)当x∈[π/12,π/2],求f(x)的](/uploads/image/z/9938020-4-0.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3DAsin%28%CF%89x%2B%CF%86%EF%BC%89%2Cx%E2%88%88R%28A%EF%BC%9E0.%CF%89%EF%BC%9E0%2C0%EF%BC%9C%CF%86%EF%BC%9C%CF%80%2F2%EF%BC%89%E7%9A%84%E5%9B%BE%E5%83%8F%E4%B8%8Ex%E8%BD%B4%E7%9A%84%E4%BA%A4%E7%82%B9%E4%B8%AD%2C%E7%9B%B8%E9%82%BB%E7%9A%84%E4%B8%A4%E4%B8%AA%E4%BA%A4%E7%82%B9%E4%B9%8B%E9%97%B4%E7%9A%84%E8%B7%9D%E7%A6%BB%E4%B8%BA%CF%80%2F2%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%EF%BC%89%E6%B1%82%EF%BC%9A%EF%BC%881%EF%BC%89+f%28x%29%E7%9A%84%E8%A7%A3%E6%9E%90%E5%BC%8F%EF%BC%882%EF%BC%89%E5%BD%93x%E2%88%88%5B%CF%80%2F12%2C%CF%80%2F2%5D%2C%E6%B1%82f%28x%29%E7%9A%84)
已知函数f(x)=Asin(ωx+φ),x∈R(A>0.ω>0,0<φ<π/2)的图像与x轴的交点中,相邻的两个交点之间的距离为π/2,且图像上一个最低点为M(2π/3,-2)求:(1) f(x)的解析式(2)当x∈[π/12,π/2],求f(x)的
已知函数f(x)=Asin(ωx+φ),x∈R(A>0.ω>0,0<φ<π/2)的图像与x轴的交点中,
相邻的两个交点之间的距离为π/2,且图像上一个最低点为M(2π/3,-2)
求:(1) f(x)的解析式
(2)当x∈[π/12,π/2],求f(x)的值域
已知函数f(x)=Asin(ωx+φ),x∈R(A>0.ω>0,0<φ<π/2)的图像与x轴的交点中,相邻的两个交点之间的距离为π/2,且图像上一个最低点为M(2π/3,-2)求:(1) f(x)的解析式(2)当x∈[π/12,π/2],求f(x)的
(1)因为相邻的两个交点之间的距离为π/2,所以
周期T=π/2*2=π
从而ω=2
又图像上一个最低点为M(2π/3,-2)
有A=2
即f(x)=2sin(2x+φ)过M(2π/3,-2),
所以-2=2sin(2*2π/3+φ)
2*2π/3+φ=3/2π
φ=π/6,所以 f(x)的解析式
f(x)=2sin(2x+π/6)
(2)当x∈[π/12,π/2],
根据图象可知
2x+π/6=π/2时取最大值2(此时x=π/6可以)
x=π/2时取最小值-1
所以f(x)的值域为[-1,2]
f(x)的值域为
已知函数f(x)=Asin(ωx+φ)
已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|
已知函数f[x]=Asin²【ωx+
已知函数f(x)=Asin
已知函数f(x)=Asin(2ωx+φ)(x∈R,ω>0,0
已知函数f(x)=Asin(wx+φ)(A
已知函数f(x)=Asin(ωx+φ) x∈R (A>0 ω>0)已知函数f(x)=Asin(ωx+φ) x∈R (A>0 ω>0,0
已知函数f(x)=Asin(ωx+φ)(x∈ R.A>0.ω>0.00.0
已知函数f (x)=Asin(ωx=φ)(A>0,ω>0,|φ|
已知函数f(x)=Asin(ωx+φ)+B(A>0,ω>0,|φ|
已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|
已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|
已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|
已知函数f(x)=Asin(ωx+φ)+m)(A>0,ω>0,|φ|
已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|
已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|
已知函数发f(x)=Asin(ωx+φ)(A>0,ω>0,|φ|
已知函数f(x)=Asin(ωx+φ)(A>0,ω>0,0小于φ