题目内容
若x,y是正数,则(x+
)2+(y+
)2的最小值是______.
| 1 |
| 2y |
| 1 |
| 2x |
(x+
)2+(y+
)2≥2(x+
) (y+
) =2(xy+
+1)≥2(2×
×
+1)=4
故答案为4
| 1 |
| 2y |
| 1 |
| 2x |
| 1 |
| 2y |
| 1 |
| 2x |
| 1 |
| 4xy |
| xy |
| 1 | ||
|
故答案为4
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若x,y是正数,则(x+
)2+(y+
)2的最小值是( )
| 1 |
| 2y |
| 1 |
| 2x |
| A、3 | ||
B、
| ||
| C、4 | ||
D、
|