题目内容
已知x，y，z满足| 2 |
| x |
| 3 |
| y-z |
| 5 |
| z+x |
| 5x-y |
| y+2z |
分析：令
=
=
=
，则x=2k，y=6k，z=3k．代入
求值即可．
| 2 |
| x |
| 3 |
| y-z |
| 5 |
| z+x |
| 1 |
| k |
| 5x-y |
| y+2z |
解答：解：∵
=
=
=
，
∴x=2k，y-z=3k，x+z5k，
∴y=6k，z=3k．
∴
=
=
=
．
| 2 |
| x |
| 3 |
| y-z |
| 5 |
| z+x |
| 1 |
| k |
∴x=2k，y-z=3k，x+z5k，
∴y=6k，z=3k．
∴
| 5x-y |
| y+2z |
| 5×2k-6k |
| 6k+2×3k |
| 4k |
| 12k |
| 1 |
| 3 |
点评：本题考查了分式的化简求值，用同一个字母表示x，y，z是解此题的关键．
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