题目内容
已知
=
=
≠0,求
的值.
| x |
| 3 |
| y |
| 4 |
| m |
| 5 |
| x+y+m |
| x+y-m |
考点:分式的化简求值
专题:
分析:设
=
=
=k,可得x=3k,y=4k,m=5k,代入
求解即可.
| x |
| 3 |
| y |
| 4 |
| m |
| 5 |
| x+y+m |
| x+y-m |
解答:解:∵设
=
=
=k,
∴x=3k,y=4k,m=5k,
∴
=
=
=6.
| x |
| 3 |
| y |
| 4 |
| m |
| 5 |
∴x=3k,y=4k,m=5k,
∴
| x+y+m |
| x+y-m |
| 3k+4k+5k |
| 3k+4k-5k |
| 12k |
| 2k |
点评:本题主要考查了分式的化简和求值,解题的关键是设
=
=
=k.
| x |
| 3 |
| y |
| 4 |
| m |
| 5 |
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