题目内容
计算|| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 2 |
| 1 |
| 2007 |
| 1 |
| 2006 |
分析：根据绝对值的定义，去掉绝对值符合，化简求值．
解答：解：|
-1|+|
-
|+…+|
+
|=(1-
)+(
-
)+…+(
-
)=1+(-
+
)+(-
+
…+( -
+
)-
=1-
=
故答案为
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 2 |
| 1 |
| 2007 |
| 1 |
| 2006 |
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 2006 |
| 1 |
| 2007 |
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 2006 |
| 1 |
| 2006 |
| 1 |
| 2007 |
=1-
| 1 |
| 2007 |
=
| 2006 |
| 2007 |
故答案为
| 2006 |
| 2007 |
点评：解决本题的关键是去掉绝对值符号后，部分数值恰好是互为相反数，其和等于0．
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