已知向量a=(根号3,coswx),向量b=(sinwx,1),函数f(x)=向量a*向量b,且最小正周期为4π.(1)求w的值?...(2)设a,B属于[π/2,π],f(2a-π/3)=6/5,f(2B+2π/3)=-24/13,求sin(a+B)的值?(3)若x属于[-π,π],求函数f(x
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![已知向量a=(根号3,coswx),向量b=(sinwx,1),函数f(x)=向量a*向量b,且最小正周期为4π.(1)求w的值?...(2)设a,B属于[π/2,π],f(2a-π/3)=6/5,f(2B+2π/3)=-24/13,求sin(a+B)的值?(3)若x属于[-π,π],求函数f(x](/uploads/image/z/2523768-24-8.jpg?t=%E5%B7%B2%E7%9F%A5%E5%90%91%E9%87%8Fa%3D%28%E6%A0%B9%E5%8F%B73%2Ccoswx%29%2C%E5%90%91%E9%87%8Fb%3D%28sinwx%2C1%29%2C%E5%87%BD%E6%95%B0f%28x%29%3D%E5%90%91%E9%87%8Fa%2A%E5%90%91%E9%87%8Fb%2C%E4%B8%94%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%E4%B8%BA4%CF%80.%EF%BC%881%EF%BC%89%E6%B1%82w%E7%9A%84%E5%80%BC%3F...%282%29%E8%AE%BEa%2CB%E5%B1%9E%E4%BA%8E%5B%CF%80%2F2%2C%CF%80%5D%2Cf%EF%BC%882a-%CF%80%2F3%EF%BC%89%3D6%2F5%2Cf%EF%BC%882B%2B2%CF%80%2F3%EF%BC%89%3D-24%2F13%2C%E6%B1%82sin%EF%BC%88a%2BB%EF%BC%89%E7%9A%84%E5%80%BC%3F%EF%BC%883%EF%BC%89%E8%8B%A5x%E5%B1%9E%E4%BA%8E%5B-%CF%80%2C%CF%80%5D%2C%E6%B1%82%E5%87%BD%E6%95%B0f%EF%BC%88x)
已知向量a=(根号3,coswx),向量b=(sinwx,1),函数f(x)=向量a*向量b,且最小正周期为4π.(1)求w的值?...(2)设a,B属于[π/2,π],f(2a-π/3)=6/5,f(2B+2π/3)=-24/13,求sin(a+B)的值?(3)若x属于[-π,π],求函数f(x
已知向量a=(根号3,coswx),向量b=(sinwx,1),函数f(x)=向量a*向量b,且最小正周期为4π.(1)求w的值?...
(2)设a,B属于[π/2,π],f(2a-π/3)=6/5,f(2B+2π/3)=-24/13,求sin(a+B)的值?(3)若x属于[-π,π],求函数f(x)的值域?
已知向量a=(根号3,coswx),向量b=(sinwx,1),函数f(x)=向量a*向量b,且最小正周期为4π.(1)求w的值?...(2)设a,B属于[π/2,π],f(2a-π/3)=6/5,f(2B+2π/3)=-24/13,求sin(a+B)的值?(3)若x属于[-π,π],求函数f(x
f(x)=(根号3,coswx)*(sinwx,1)=根号3*sinwx+coswx*1=2[((根号3)/2)*sinwx+(1/2)coswx]=2sin(wx+pi/6)
(1) 2*pi/w=4*pi w=1/2 f(x)=2sin(1/2x+pi/6)
(2) 将x=2a-π/3带入f(x) 有sina=3/5;x=2B+2π/3,带入化简,有cosB=-12/13 将sin(a+B)展开即可求解
(3) 可借助图像.函数sinx/2在[-π,π]上属于单调函数,可以看出sin(x/2+π/6)在[-π,5π/6]上单调,其值域就为[-根号3,2].
希望解题思路能够帮到你