题目内容
求下面所有分数的和:
;
,
,
;
,
,
,
,
;
,
,
,
,
,
,
;…;
,
,…,
,
,
,
,
,…,
.
| 1 |
| 1 |
| 1 |
| 2 |
| 2 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 2 |
| 3 |
| 3 |
| 3 |
| 2 |
| 3 |
| 1 |
| 3 |
| 1 |
| 4 |
| 2 |
| 4 |
| 3 |
| 4 |
| 4 |
| 4 |
| 3 |
| 4 |
| 2 |
| 4 |
| 1 |
| 4 |
| 1 |
| 1991 |
| 2 |
| 1991 |
| 1989 |
| 1991 |
| 1990 |
| 1991 |
| 1991 |
| 1991 |
| 1990 |
| 1991 |
| 1989 |
| 1991 |
| 1 |
| 1991 |
| 1 |
| 1 |
| 1 |
| 2 |
| 2 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 2 |
| 3 |
| 3 |
| 3 |
| 2 |
| 3 |
| 1 |
| 3 |
| 1 |
| 1991 |
| 1991 |
| 1991 |
| 1 |
| 1991 |
=
| 1 |
| 1 |
| 1 |
| 2 |
| 2 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 2 |
| 3 |
| 3 |
| 3 |
| 2 |
| 3 |
| 1 |
| 3 |
| 1 |
| 1991 |
| 1991 |
| 1991 |
| 1 |
| 1991 |
=1+2+3+…+1991,
=(1+1991)×1991÷2,
=1983036.
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