题目内容
寻找规律:
①
,
,
,
,
,
.
②1,4,9,16,
③
,1,
,
,
,
.
①
| 4 |
| 5 |
| 2 |
| 5 |
| 1 |
| 5 |
| 1 |
| 10 |
| 1 |
| 10 |
| 1 |
| 20 |
| 1 |
| 40 |
| 1 |
| 40 |
| 1 |
| 80 |
| 1 |
| 80 |
②1,4,9,16,
25
25
,36
36
. ③
| 2 |
| 3 |
| 3 |
| 2 |
| 9 |
| 4 |
| 27 |
| 8 |
| 27 |
| 8 |
| 81 |
| 16 |
| 81 |
| 16 |
分析:①
÷
=2,
÷
=2,前一个数是后一个数的2倍;
②1=1×1,4=2×2,9=3×3,16=4×4,每一个数都是它项数的平方;
③1÷
=
,
÷1=
,
÷
=
,后一个数是前一个数的
倍.
| 4 |
| 5 |
| 2 |
| 5 |
| 2 |
| 5 |
| 1 |
| 5 |
②1=1×1,4=2×2,9=3×3,16=4×4,每一个数都是它项数的平方;
③1÷
| 2 |
| 3 |
| 3 |
| 2 |
| 3 |
| 2 |
| 3 |
| 2 |
| 9 |
| 4 |
| 3 |
| 2 |
| 3 |
| 2 |
| 3 |
| 2 |
解答:解:①
÷2=
,
÷2=
,
÷2=
;
所以这组数列是:
,
,
,
,
,
.
②5×5=25,
6×6=36,
所以这组数列是:1,4,9,16,25,36.
③
×
=
,
×
=
,
所以这组数列是:
,1,
,
,
,
.
故答案为:
,
,
;25,36;
,
.
| 1 |
| 5 |
| 1 |
| 10 |
| 1 |
| 20 |
| 1 |
| 40 |
| 1 |
| 40 |
| 1 |
| 80 |
所以这组数列是:
| 4 |
| 5 |
| 2 |
| 5 |
| 1 |
| 5 |
| 1 |
| 10 |
| 1 |
| 20 |
| 1 |
| 40 |
| 1 |
| 80 |
②5×5=25,
6×6=36,
所以这组数列是:1,4,9,16,25,36.
③
| 9 |
| 4 |
| 3 |
| 2 |
| 27 |
| 8 |
| 27 |
| 8 |
| 3 |
| 2 |
| 81 |
| 16 |
所以这组数列是:
| 2 |
| 3 |
| 3 |
| 2 |
| 9 |
| 4 |
| 27 |
| 8 |
| 81 |
| 16 |
故答案为:
| 1 |
| 10 |
| 1 |
| 40 |
| 1 |
| 80 |
| 27 |
| 8 |
| 81 |
| 16 |
点评:解决本题关键是归纳、总结得出规律,再根据规律进行求解.
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