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易错点一:忽视函数的定义域例1(2012年高考重庆文科卷第19题)设函数f(x)=Asin(ωx+φ)(其中A>0,ω>0,-π<φ≤π)在x=π6处取得最大值2,其图像与x轴的相邻两个交点的距离为π2.(Ⅰ)求f(x)的解析式;(Ⅱ)求函数g(x)=6cos4x-sin2x-1f(x+π6)的值域.难度系数0.75解(Ⅰ)f(x)=2sin(2x+π6).解答过程省略.
The error-prone point one: ignore the domain of function Example 1 (2012 college entrance examination of Chongqing Arts Volume 19) set function f (x) = Asin (ωx + φ) (where A> 0, ω> 0, -π < (2) Find the function g (x) and find the maximum value 2 at x = π6, the distance between two adjacent points of the image and the x axis is π2. = 6cos4x-sin2x-1f (x + π6). Difficulty factor 0.75 solution (Ⅰ) f (x) = 2sin (2x + π6). The solution process is omitted.