口算:
1
7
-
1
8
=
1
30
-
1
31
=
1
41
-
1
42
=
1
99
-
1
100
=
1
6
-
1
8
=
1
7
-
1
9
=
1
11
-
1
13
=
1
19
-
1
21
=
分析:先通分,然后再相減.
解答:解:
1
7
-
1
8
=
1
56
,
1
30
-
1
31
=
1
930
1
41
-
1
42
=
1
1722
,
1
99
-
1
100
=
1
9900
,
1
6
-
1
8
=
1
24
,
1
7
-
1
9
=
2
63
1
11
-
1
13
=
2
143
,
1
19
-
1
21
=
2
399
點評:計算本題可以得出這樣的規(guī)律:
1
a
-
1
a+1
=
1
a(a+1)
1
2a-1
-
1
2a+1
=
2
(2a-1)×(2a+1)
(a為大于0的自然數(shù)).
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