设函数f(x)=sin(wx+派/3)+sin(wx)(w>0)w为欧密个,相邻两条对称轴间的距离为2,求f(1),若f(x+m)是偶函数,求正数m的最小值
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/20 18:57:52
![设函数f(x)=sin(wx+派/3)+sin(wx)(w>0)w为欧密个,相邻两条对称轴间的距离为2,求f(1),若f(x+m)是偶函数,求正数m的最小值](/uploads/image/z/11293954-34-4.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3Dsin%28wx%2B%E6%B4%BE%EF%BC%8F3%29%2Bsin%28wx%29%EF%BC%88w%3E0%29w%E4%B8%BA%E6%AC%A7%E5%AF%86%E4%B8%AA%2C%E7%9B%B8%E9%82%BB%E4%B8%A4%E6%9D%A1%E5%AF%B9%E7%A7%B0%E8%BD%B4%E9%97%B4%E7%9A%84%E8%B7%9D%E7%A6%BB%E4%B8%BA2%2C%E6%B1%82f%281%29%2C%E8%8B%A5f%28x%2Bm%29%E6%98%AF%E5%81%B6%E5%87%BD%E6%95%B0%2C%E6%B1%82%E6%AD%A3%E6%95%B0m%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC)
设函数f(x)=sin(wx+派/3)+sin(wx)(w>0)w为欧密个,相邻两条对称轴间的距离为2,求f(1),若f(x+m)是偶函数,求正数m的最小值
设函数f(x)=sin(wx+派/3)+sin(wx)(w>0)w为欧密个,相邻两条对称轴间的距离为2,求f(1),若f(x+m)是偶函数,求正数m的最小值
设函数f(x)=sin(wx+派/3)+sin(wx)(w>0)w为欧密个,相邻两条对称轴间的距离为2,求f(1),若f(x+m)是偶函数,求正数m的最小值
f(x)=sin(wx+π/3)+sin(wx)
=(3/2)sinwx+(√3/2)coswx
=√3sin(wx+π/6),
相邻两条对称轴间的距离为2,
∴π/w=2,w=π/2.
f(1)=3/2.
f(x+m)是偶函数,
<==>f(x+m)=f(-x+m),
<==>sin[(π/2)(x+m+1/3)]-sin[(π/2)(-x+m+1/3)]=0,
<==>cos[(π/2)(m+1/3)]sin(πx/2)=0对任意x成立,
<==>(π/2)(m+1/3)=(k+1/2)π,k∈Z,
<==>m+1/3=2k+1,
∴正数m的最小值=2/3.
设函数f(x)=sin(wx+派/3)+sin(wx)(w>0)w为欧密个,相邻两条对称轴间的距离为2,求f(1),若f(x+m)是偶函数,求正数m的最小值
已知函数f(x)=sin^2wx+根号3sinwx*sin(wx+派/2)(w>0)的最小正周期为派,求W的值
已知函数f(x)=sin^2wx+根号3sinwx*sin(wx+派/2)(w>0)的最小正周期为派,求W的值急救
设函数f(x)=sin(wx+t)(-π/2
设函数f(x)=sin(wx+t)(-π/2
f(x)=sin(wx)在[-派/5,派/3]上是减函数,则w的范围是?很好
函数f(x)=3sin(Wx+P)对任意的x都有f((派/3)-x)=f((派/3+x),则f(/3)=?
设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
老师好:设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
设函数f(x)=sin(wx+g)+cos(wx+g) (w>0,|g|
设函数f(x)=sin(wx+q)+cos(wx+q)(w>0,q的绝对值
设函数f(x)=sin(wx+φ)+cos(wx+φ)(w>0,|φ|
已知函数f(x)=2sin(wx+ψ-派/6)(0
已知函数f(x)=sin二次wx+根号3sinwxsin(wx+90度)(w大于0)的最小正周期是派,求w