题目内容
计算:
+
+
+
+
+
+
+
+
.
| 1 |
| 3 |
| 3 |
| 4 |
| 2 |
| 5 |
| 5 |
| 7 |
| 7 |
| 8 |
| 9 |
| 20 |
| 10 |
| 21 |
| 11 |
| 24 |
| 12 |
| 35 |
考点:分数的巧算
专题:计算问题(巧算速算)
分析:通过分析式中数据发现,
=
+
,
=
+
,
=
+
,
=
+
,所以可将式中的后四个分数拆分后根据加法结合律进行巧算.
| 9 |
| 20 |
| 1 |
| 4 |
| 1 |
| 5 |
| 10 |
| 21 |
| 1 |
| 7 |
| 1 |
| 3 |
| 11 |
| 24 |
| 1 |
| 3 |
| 1 |
| 8 |
| 12 |
| 35 |
| 1 |
| 7 |
| 1 |
| 5 |
解答:
解:
+
+
+
+
+
+
+
+
=
+
+
+
+
+
+
+
+
+
+
+
+
.
=(
+
+
)+(
+
)+(
+
+
)+(
+
+
)+(
+
)
=1+1+
+1+1
=4
.
| 1 |
| 3 |
| 3 |
| 4 |
| 2 |
| 5 |
| 5 |
| 7 |
| 7 |
| 8 |
| 9 |
| 20 |
| 10 |
| 21 |
| 11 |
| 24 |
| 12 |
| 35 |
=
| 1 |
| 3 |
| 3 |
| 4 |
| 2 |
| 5 |
| 5 |
| 7 |
| 7 |
| 8 |
| 1 |
| 4 |
| 1 |
| 5 |
| 1 |
| 7 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 8 |
| 1 |
| 7 |
| 1 |
| 5 |
=(
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 3 |
| 3 |
| 4 |
| 1 |
| 4 |
| 2 |
| 5 |
| 1 |
| 5 |
| 1 |
| 5 |
| 5 |
| 7 |
| 1 |
| 7 |
| 1 |
| 7 |
| 7 |
| 8 |
| 1 |
| 8 |
=1+1+
| 4 |
| 5 |
=4
| 4 |
| 5 |
点评:在分数的运算中,完成本题要注意分析式中数据,找出规律,运用合适的简便方法计算.
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| 9 |
| 2 |
| 2 |
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