题目

阅读理解 People with an impulsive personality refer to those who tend to do things without considering the possible dangers or problems first. According to a new study by researchers at the University of Georgia, such people may be more likely to have food addiction. The study found that people exhibiting impulsive behavior weren't necessarily overweight, but impulsiveness was related to a direct relationship with food, and therefore, less healthy weight. Food addiction has been compared to addictive drug use. Studies have linked the dopamine (多巴胺) release that occurs after tasting d 设函数f(x)=sin2ωx+2sin ωx·cos ωx-cos2ωx+λ(x∈R)的图象关于直线x=π对称,其中ω,λ为常数,且ω∈(,1). (1)求函数f(x)的最小正周期; (2)若y=f(x)的图象经过点(,0),求函数f(x)的值域.