分类：教育/科学-学习帮助
问题：高一数学暑假作业函数y=sinx^2+3sinxcosx+5co 
y=sinx^2+3sinxcosx+5cosx^2的值域是_________
回答：y=sinx^2+3sinxcosx+5cosx^2
=sinx^2+cosx^2+3sinxcosx+4cosx^2
=1+1.5sin2x+2(cos2x+1)
=3+1.5sin2x+2cos2x
=3+2.5(sin2x+β)

y∈[0.5,5.5]