题目内容
(3+
-
)×(
+
+
)-(
-
+
)×3+(
+
+
)×(
-
).
| 5 |
| 9 |
| 2 |
| 3 |
| 1 |
| 6 |
| 1 |
| 9 |
| 1 |
| 12 |
| 1 |
| 6 |
| 1 |
| 9 |
| 1 |
| 12 |
| 1 |
| 6 |
| 1 |
| 9 |
| 1 |
| 12 |
| 2 |
| 3 |
| 5 |
| 9 |
分析:整体观察,数字分为四个数群,将每一数群中相同的几个数可用一个字母代替,使计算简明.
解答:解:设
-
=a,
+
+
=b,
(3+
-
)×(
+
+
)-(
-
+
)×3+(
+
+
)×(
-
)
=(3-a)×b-(b-
)×3+b×a
=3b-ab-3b+
+ab
=
.
| 2 |
| 3 |
| 5 |
| 9 |
| 1 |
| 6 |
| 1 |
| 9 |
| 1 |
| 12 |
(3+
| 5 |
| 9 |
| 2 |
| 3 |
| 1 |
| 6 |
| 1 |
| 9 |
| 1 |
| 12 |
| 1 |
| 6 |
| 1 |
| 9 |
| 1 |
| 12 |
| 1 |
| 6 |
| 1 |
| 9 |
| 1 |
| 12 |
| 2 |
| 3 |
| 5 |
| 9 |
=(3-a)×b-(b-
| 2 |
| 9 |
=3b-ab-3b+
| 2 |
| 3 |
=
| 2 |
| 3 |
点评:对于此类问题,一般采取用字母代替的方法,进行解决.
练习册系列答案
相关题目