题目内容
设a,b是正常数,x,y为正变量,且
+
=2,则x+y的最小值是( )
| a |
| x |
| b |
| y |
A.4
| B.a+b+2
| C.a+b+
| D.
|
∵a,b是正常数,x,y为正变量,
+
=2,
∴x+y=(x+y)?
(
+
)=
(a+
+
+b)≥
(a+b+2
)=
+
.
故选D.
| a |
| x |
| b |
| y |
∴x+y=(x+y)?
| 1 |
| 2 |
| a |
| x |
| b |
| y |
| 1 |
| 2 |
| bx |
| y |
| ay |
| x |
| 1 |
| 2 |
| ab |
| a+b |
| 2 |
| ab |
故选D.
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