题目内容
若a+x2=2007，b+x2=2008，c+x2=2009，且abc=24，则
+
+
-
-
-
的值为______．
| a |
| bc |
| b |
| ac |
| c |
| ab |
| 1 |
| a |
| 1 |
| b |
| 1 |
| c |
∵a+x2=2007，b+x2=2008，c+x2=2009，
∴b-a=1，c-b=1，c-a=2，
∴
+
+
-
-
-
=
-
+
-
+
-
=
+
+
=
+
+
=
=
=
=
．
∴b-a=1，c-b=1，c-a=2，
∴
| a |
| bc |
| b |
| ac |
| c |
| ab |
| 1 |
| a |
| 1 |
| b |
| 1 |
| c |
| a |
| bc |
| 1 |
| b |
| b |
| ac |
| 1 |
| c |
| c |
| ab |
| 1 |
| a |
=
| a-c |
| bc |
| b-a |
| ac |
| c-b |
| ab |
=
| -2 |
| bc |
| 1 |
| ac |
| 1 |
| ab |
=
| -2a+b+c |
| abc |
=
| (b-a)+(c-a) |
| abc |
=
| 1+2 |
| 24 |
=
| 1 |
| 8 |
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