题目内容
如果
+
=
×2=
;
+
+
=
×3=
;
+
+
+
=
×4=
,则
+
+
+…+
=( )
| 1 |
| 97 |
| 3 |
| 97 |
| 2 |
| 97 |
| 4 |
| 97 |
| 1 |
| 97 |
| 3 |
| 97 |
| 5 |
| 97 |
| 3 |
| 97 |
| 9 |
| 97 |
| 1 |
| 97 |
| 3 |
| 97 |
| 5 |
| 97 |
| 7 |
| 97 |
| 4 |
| 97 |
| 16 |
| 97 |
| 1 |
| 97 |
| 3 |
| 97 |
| 5 |
| 97 |
| 49 |
| 97 |
分析:通过观察,每个算式中分数的分子都是连续的奇数,得数为分母不变,分子为分数的个数,然后乘分数的个数,据此解答.
解答:解:
+
+
+…+
=
×25
=
.
故选:A.
| 1 |
| 97 |
| 3 |
| 97 |
| 5 |
| 97 |
| 49 |
| 97 |
=
| 25 |
| 97 |
=
| 625 |
| 97 |
故选:A.
点评:先观察给出的例子,找出规律,据规律解答.
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