(1/2)已知向量m(sinωx,-√3cosωx),n=(sinωx,cos(ωx+π/2))(ω>0),若函数f(x)=m*n的最小...(1/2)已知向量m(sinωx,-√3cosωx),n=(sinωx,cos(ωx+π/2))(ω>0),若函数f(x)=m*n的最小正周期为
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 22:06:40
![(1/2)已知向量m(sinωx,-√3cosωx),n=(sinωx,cos(ωx+π/2))(ω>0),若函数f(x)=m*n的最小...(1/2)已知向量m(sinωx,-√3cosωx),n=(sinωx,cos(ωx+π/2))(ω>0),若函数f(x)=m*n的最小正周期为](/uploads/image/z/3742181-53-1.jpg?t=%281%2F2%29%E5%B7%B2%E7%9F%A5%E5%90%91%E9%87%8Fm%28sin%CF%89x%2C%EF%BC%8D%E2%88%9A3cos%CF%89x%29%2Cn%EF%BC%9D%28sin%CF%89x%2Ccos%28%CF%89x%EF%BC%8B%CF%80%EF%BC%8F2%29%29%28%CF%89%EF%BC%9E0%29%2C%E8%8B%A5%E5%87%BD%E6%95%B0f%28x%29%EF%BC%9Dm%2An%E7%9A%84%E6%9C%80%E5%B0%8F...%281%2F2%29%E5%B7%B2%E7%9F%A5%E5%90%91%E9%87%8Fm%28sin%CF%89x%2C%EF%BC%8D%E2%88%9A3cos%CF%89x%29%2Cn%EF%BC%9D%28sin%CF%89x%2Ccos%28%CF%89x%EF%BC%8B%CF%80%EF%BC%8F2%29%29%28%CF%89%EF%BC%9E0%29%2C%E8%8B%A5%E5%87%BD%E6%95%B0f%28x%29%EF%BC%9Dm%2An%E7%9A%84%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%E4%B8%BA)
(1/2)已知向量m(sinωx,-√3cosωx),n=(sinωx,cos(ωx+π/2))(ω>0),若函数f(x)=m*n的最小...(1/2)已知向量m(sinωx,-√3cosωx),n=(sinωx,cos(ωx+π/2))(ω>0),若函数f(x)=m*n的最小正周期为
(1/2)已知向量m(sinωx,-√3cosωx),n=(sinωx,cos(ωx+π/2))(ω>0),若函数f(x)=m*n的最小...
(1/2)已知向量m(sinωx,-√3cosωx),n=(sinωx,cos(ωx+π/2))(ω>0),若函数f(x)=m*n的最小正周期为
(1/2)已知向量m(sinωx,-√3cosωx),n=(sinωx,cos(ωx+π/2))(ω>0),若函数f(x)=m*n的最小...(1/2)已知向量m(sinωx,-√3cosωx),n=(sinωx,cos(ωx+π/2))(ω>0),若函数f(x)=m*n的最小正周期为
f(x)=m*n=sinωxsinωx-√3cosωx*cos(ωx+π/2)
=(1/2)(1-cos2ωx)+(√3/2)*2sinωxcosωx
=(√3/2)sin2ωx-(1/2)cos2ωx+1/2
=sin(2ωx-π/6)+1/2
若最小正周期T=2π/2ω=π
则ω=1
cos(ωx+π/2)=-sinwx
m=(sinwx,-√3coswx)
n=(sinwx,-sinwx)
m*n=sin²wx+√3sinwxcoswx
=(1-cos2wx)/2+√3/2sin2wx
=1/2-1/2cos2wx+√3/2sin2wx
=1/2+sin(2wx-∏/6)
T=2∏/2w=∏/w