已知函数f（x）=acosx+bsinxcosx满足：f（0）=2,f（60°）=1/2+（√3）/2如题已知函数f（x）=acosx+bsinxcosx满足：f（0）=2,f（60°）=1/2+（√3）/21.当x大于等于-45°小于等于45°时,求f（x）的值域2.设g（x

Question

已知函数f（x）=acosx+bsinxcosx满足：f（0）=2,f（60°）=1/2+（√3）/2如题
已知函数f（x）=acosx+bsinxcosx满足：f（0）=2,f（60°）=1/2+（√3）/2 1.当x大于等于-45°小于等于45°时,求f（x）的值域 2.设g（x）=（f（x）-1）/√2,该函数图像可由y=sinx经怎样的变换得到 谢

Answer 1

1 f(0) = acos0+bsin0cos0 = a = 2 即a = 2 ∴ f(60°) = 2cos60°+ bsin60°cos60° = 1/2 + b[(√3)/2](1/2) = 1/2+ (√3)/2 即b = 2 ∴ f(x) = 2cosx + 2sinxcosx = cos2x + sin2x + 1 = (√2)*sin(45°+ 2x) + 1...