题目内容
已a,b为实数,ab=1,M=
+
,N=
+
,则M,N的大小关系是( )
| a |
| a+1 |
| b |
| b+1 |
| 1 |
| a+1 |
| 1 |
| b+1 |
| A.M>N | B.M=N | C.M<N | D.无法确定 |
M=
=
,
∵ab=1,∴
=
=1.
N=
=
,
∵ab=1,∴
=
=1,∴M=N.
故选B.
| a(b+1)+b(a+1) |
| (a+1)(b+1) |
| 2ab+a+b |
| ab+a+b+1 |
∵ab=1,∴
| 2ab+a+b |
| ab+a+b+1 |
| 2+a+b |
| 2+a+b |
N=
| b+1+a+1 |
| (a+1)(b+1) |
| a+b+2 |
| ab+a+b+1 |
∵ab=1,∴
| a+b+2 |
| ab+a+b+1 |
| 2+a+b |
| 2+a+b |
故选B.
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相关题目
已a,b为实数,ab=1,M=
+
,N=
+
,则M,N的大小关系是( )
| a |
| a+1 |
| b |
| b+1 |
| 1 |
| a+1 |
| 1 |
| b+1 |
| A、M>N | B、M=N |
| C、M<N | D、无法确定 |