题目内容
①
+
+
+…+
=______.
②
=
+
=
+
.
| 1 |
| 1×5 |
| 1 |
| 5×9 |
| 1 |
| 9×13 |
| 1 |
| 33×37 |
②
| 7 |
| 12 |
| 1 |
| () |
| 1 |
| () |
| 1 |
| () |
| 1 |
| () |
①
+
+
+…+
,
=
×(1-
+
-
+
-
+…+
-
),
=
×(1-
),
=
×
,
=
.
(2)
=
=
+
=
+
;
=
=
+
=
+
;
因此,
=
+
=
+
.
故答案为:
,3,4,2,12.
| 1 |
| 1×5 |
| 1 |
| 5×9 |
| 1 |
| 9×13 |
| 1 |
| 33×37 |
=
| 1 |
| 4 |
| 1 |
| 5 |
| 1 |
| 5 |
| 1 |
| 9 |
| 1 |
| 9 |
| 1 |
| 13 |
| 1 |
| 33 |
| 1 |
| 37 |
=
| 1 |
| 4 |
| 1 |
| 37 |
=
| 1 |
| 4 |
| 36 |
| 37 |
=
| 9 |
| 37 |
(2)
| 7 |
| 12 |
| 3+4 |
| 12 |
| 3 |
| 12 |
| 4 |
| 12 |
| 1 |
| 4 |
| 1 |
| 3 |
| 7 |
| 12 |
| 1+6 |
| 12 |
| 1 |
| 12 |
| 6 |
| 12 |
| 1 |
| 12 |
| 1 |
| 2 |
因此,
| 7 |
| 12 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 2 |
| 1 |
| 12 |
故答案为:
| 9 |
| 37 |
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