问题 填空题 若x,y∈R+,且8x+2y=1,则x+y的范围是______. 答案 x+y=(x+y)(8x+2y)=10+8yx+2xy≥10+2×4=18当且仅当8yx=2xy时取等号,则x+y的范围是[18,+∞),故答案为:[18,+∞).