题目内容
| 1 |
| 6 |
| 1 |
| 12 |
| 1 |
| 20 |
| 1 |
| 30 |
| 1 |
| 42 |
| 1 |
| 56 |
| 1 |
| 78 |
| 1 |
| 90 |
分析:通过观察,可把每个分数拆成两个分数相减的形式,然后通过加减相互抵消地方法,求得结果.
解答:解:
+
+
+
+
+
+
+
,
=
-
+
-
+
-
+
-
+
-
+
-
+
-
+
-
,
=
-
,
=
.
| 1 |
| 6 |
| 1 |
| 12 |
| 1 |
| 20 |
| 1 |
| 30 |
| 1 |
| 42 |
| 1 |
| 56 |
| 1 |
| 78 |
| 1 |
| 90 |
=
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 4 |
| 1 |
| 5 |
| 1 |
| 5 |
| 1 |
| 6 |
| 1 |
| 6 |
| 1 |
| 7 |
| 1 |
| 7 |
| 1 |
| 8 |
| 1 |
| 8 |
| 1 |
| 9 |
| 1 |
| 9 |
| 1 |
| 10 |
=
| 1 |
| 2 |
| 1 |
| 10 |
=
| 2 |
| 5 |
点评:此题中的每个分数中的分母都可以写成两个连续自然数乘积的形式,然后通过拆分,求得结果.
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