问题
选择题
若x,y,a∈R+,且
|
答案
由题意x,y,a∈R+,且
+x
≤ay
恒成立x+y
故有x+y+2
≤a2(x+y)xy
即a2-1≥2 xy x+y
由于
≤2 xy x+y
=1x+y x+y
a2-1≥1,解得a≥2
则a的最小值是2
故选B
若x,y,a∈R+,且
|
由题意x,y,a∈R+,且
+x
≤ay
恒成立x+y
故有x+y+2
≤a2(x+y)xy
即a2-1≥2 xy x+y
由于
≤2 xy x+y
=1x+y x+y
a2-1≥1,解得a≥2
则a的最小值是2
故选B