已知正数x、y满足x+y=1,则
|
∵正数x、y满足x+y=1,
∴
+1 x
=(x+y)(4 y
+1 x
)4 y
=1+
+y x
+44x y
≥5+2
×y x 4x y
=9.
当且仅当
=y x
,即x=4x y
,y=1 3
时,2 3
+1 x
的最小值是9.4 y
故选C.
已知正数x、y满足x+y=1,则
|
∵正数x、y满足x+y=1,
∴
+1 x
=(x+y)(4 y
+1 x
)4 y
=1+
+y x
+44x y
≥5+2
×y x 4x y
=9.
当且仅当
=y x
,即x=4x y
,y=1 3
时,2 3
+1 x
的最小值是9.4 y
故选C.