题目内容
已知：
=a，
=b，
=c，且abc≠0，求x的值．
| xy |
| x+y |
| xz |
| x+z |
| yz |
| y+z |
∵
=a，
=b，
=c，
∴
=
，
=
，
=
，
∴
=
+
①，
=
+
②，
=
+
③，
①+②-③得
+
-
=
，
∴x=
．
| xy |
| x+y |
| xz |
| x+z |
| yz |
| y+z |
∴
| x+y |
| xy |
| 1 |
| a |
| x+z |
| xz |
| 1 |
| b |
| y+z |
| yz |
| 1 |
| c |
∴
| 1 |
| a |
| 1 |
| x |
| 1 |
| y |
| 1 |
| b |
| 1 |
| x |
| 1 |
| z |
| 1 |
| c |
| 1 |
| y |
| 1 |
| z |
①+②-③得
| 1 |
| a |
| 1 |
| b |
| 1 |
| c |
| 2 |
| x |
∴x=
| 2abc |
| bc+ac-ab |
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