题目内容
用简便算法计算:
+
+
+
+
+
.
| 1 |
| 3 |
| 1 |
| 9 |
| 1 |
| 27 |
| 1 |
| 81 |
| 1 |
| 243 |
| 1 |
| 729 |
考点:分数的简便计算
专题:计算问题(巧算速算)
分析:原式=(
+
+
+
+
+
)×729×
,再进一步解决问题.
| 1 |
| 3 |
| 1 |
| 9 |
| 1 |
| 27 |
| 1 |
| 81 |
| 1 |
| 243 |
| 1 |
| 729 |
| 1 |
| 729 |
解答:
解:
+
+
+
+
+
=(
+
+
+
+
+
)×729×
=(
×729+
×729+
×729+
×729+
×729+
×729)×
=(243+81+27+9+3+1)×
=364×
=
.
| 1 |
| 3 |
| 1 |
| 9 |
| 1 |
| 27 |
| 1 |
| 81 |
| 1 |
| 243 |
| 1 |
| 729 |
=(
| 1 |
| 3 |
| 1 |
| 9 |
| 1 |
| 27 |
| 1 |
| 81 |
| 1 |
| 243 |
| 1 |
| 729 |
| 1 |
| 729 |
=(
| 1 |
| 3 |
| 1 |
| 9 |
| 1 |
| 27 |
| 1 |
| 81 |
| 1 |
| 243 |
| 1 |
| 729 |
| 1 |
| 729 |
=(243+81+27+9+3+1)×
| 1 |
| 729 |
=364×
| 1 |
| 729 |
=
| 364 |
| 729 |
点评:解答这种类型的题目,应认真观察,运用运算技巧或运算定律,灵活进行简算.
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