摘要:课本P25.5,7,8,11,12.
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(2013•江阳区模拟)先找规律,再填数:
+
-1=
,
+
-
=
,
+
-
=
,
+
-
=
,…,
+
-
?
?=
.
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| 1 |
| 1 |
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 2 |
| 1 |
| 12 |
| 1 |
| 5 |
| 1 |
| 6 |
| 1 |
| 3 |
| 1 |
| 30 |
| 1 |
| 7 |
| 1 |
| 8 |
| 1 |
| 4 |
| 1 |
| 56 |
| 1 |
| 2013 |
| 1 |
| 2014 |
| 1 |
| 1007 |
| 1 |
| 1007 |
| 1 |
| ( )×2014 |
先观察、研究下列的算式,再解答问题(1)、(2)
=
,
-
=
=
,
-
=
=
,
-
=
…
(1)你能归纳出
= (n表示大于或等于1的自然数);
(3)你会计算
+
+
+…+
的结果吗?
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| 1 |
| 1×2 |
| 1 |
| 2 |
| 1 |
| 1 |
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 2×3 |
| 1 |
| 6 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 6 |
| 1 |
| 3×4 |
| 1 |
| 12 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 12 |
(1)你能归纳出
| 1 |
| n(n+1) |
(3)你会计算
| 1 |
| 1×2 |
| 1 |
| 2×3 |
| 1 |
| 3×4 |
| 1 |
| n(n+1) |