题目内容
(1)先计算下面各题,再看看有什么规律.
+
=
-
=
+
=
-
=
+
=
-
=
(2)根据上面的规律,直接写出下面各题的得数.
+
=
-
=
+
=
-
=
+
=
-
=
1 |
2 |
1 |
3 |
1 |
2 |
1 |
3 |
1 |
3 |
1 |
4 |
1 |
3 |
1 |
4 |
1 |
4 |
1 |
5 |
1 |
4 |
1 |
5 |
(2)根据上面的规律,直接写出下面各题的得数.
1 |
3 |
1 |
5 |
1 |
7 |
1 |
8 |
1 |
2 |
1 |
7 |
1 |
3 |
1 |
7 |
1 |
8 |
1 |
5 |
1 |
4 |
1 |
9 |
分析:根据分数加减法的计算方法进行计算.
解答:解:
+
=
-
=
+
=
-
=
+
=
-
=
我发现:分子是1,分母是互质数的两个分数相加减,分母的乘积作为分母,分母相加减作为分子.
(2)
+
=
-
=
+
=
-
=
+
=
-
=
.
1 |
2 |
1 |
3 |
5 |
6 |
1 |
2 |
1 |
3 |
1 |
6 |
1 |
3 |
1 |
4 |
7 |
12 |
1 |
3 |
1 |
4 |
1 |
12 |
1 |
4 |
1 |
5 |
9 |
20 |
1 |
4 |
1 |
5 |
1 |
20 |
我发现:分子是1,分母是互质数的两个分数相加减,分母的乘积作为分母,分母相加减作为分子.
(2)
1 |
3 |
1 |
5 |
8 |
15 |
1 |
7 |
1 |
8 |
1 |
56 |
1 |
2 |
1 |
7 |
9 |
14 |
1 |
3 |
1 |
7 |
4 |
21 |
1 |
8 |
1 |
5 |
13 |
40 |
1 |
4 |
1 |
9 |
5 |
36 |
点评:异分母分数相加减,先通分,然后再按照同分母分数的加减法进行计算.
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