摘要:10.观察下列算式
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观察下列算式:31=3,32=9,33=27,34=81,35=243,36=729,37=2187,38=6561,…,通过观察,用你所发现的规律判断32012的个位数字是( )
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观察下列算式:
=
=
-
;
=
=
-
;
=
=
-
;…
(1)通过观察,你得到什么结论?用含n(n为正整数)的等式表示:
=
-
=
-
.
(2)利用你得出的结论,计算:
+
+
+
.
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| 1 |
| 2 |
| 1 |
| 1×2 |
| 1 |
| 1 |
| 1 |
| 2 |
| 1 |
| 6 |
| 1 |
| 2×3 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 12 |
| 1 |
| 3×4 |
| 1 |
| 3 |
| 1 |
| 4 |
(1)通过观察,你得到什么结论?用含n(n为正整数)的等式表示:
| 1 |
| n(n+1) |
| 1 |
| n |
| 1 |
| n+1 |
| 1 |
| n(n+1) |
| 1 |
| n |
| 1 |
| n+1 |
(2)利用你得出的结论,计算:
| 1 |
| (a-1)(a-2) |
| 1 |
| (a-2)(a-3) |
| 1 |
| (a-3)(a-4) |
| 1 |
| (a-4)(a-5) |