题目内容
用规律计算：(-1)×
+(-
)×
+(-
)×
+…+（-
）×
．
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| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 2012 |
| 1 |
| 2013 |
分析：根据已知得出（-1）×
=
-1，（-
）×
=
-
，（-
）×
=
-
，（-
）×
=
-
，进而求出即可．
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| 2 |
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 4 |
| 1 |
| 3 |
| 1 |
| 2012 |
| 1 |
| 2013 |
| 1 |
| 2013 |
| 1 |
| 2012 |
解答：解：原式=
-1+
-
+
-
+
-
=-1+
═
．
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 2 |
| 1 |
| 4 |
| 1 |
| 3 |
| 1 |
| 2013 |
| 1 |
| 2012 |
=-1+
| 1 |
| 2013 |
═
| 2012 |
| 2013 |
点评：此题主要考查了有理数的混合运算，利用规律得出是解题关键．
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…+（-
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．