问题
填空题
设实数x,y满足1≤xy2≤2,4≤
|
答案
∵1≤xy2≤2,
∴
≤1 2
≤1,1 xy2
又4≤
≤9,x2 y
∴
×4≤1 2
≤1×9,即2≤x y3
≤9,x y3
∴4≤
≤81.x2 y6
故答案为:[4,81].
设实数x,y满足1≤xy2≤2,4≤
|
∵1≤xy2≤2,
∴
≤1 2
≤1,1 xy2
又4≤
≤9,x2 y
∴
×4≤1 2
≤1×9,即2≤x y3
≤9,x y3
∴4≤
≤81.x2 y6
故答案为:[4,81].