题目内容
计算:|| 1 |
| 4 |
| 1 |
| 3 |
| 1 |
| 5 |
| 1 |
| 4 |
| 1 |
| 6 |
| 1 |
| 5 |
| 1 |
| 20 |
| 1 |
| 19 |
分析:先去绝对值,然后观察式子发现,除第一项和最后一项外,每相邻的两项都互为相反数,那么整个式子的和即为第一项与最后一项的和.
解答:解:原式=(
-
)+(
-
)+(
-
)+…+(
-
)
=
-
+
-
+
-
+…+
-
=
-
=
.
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 4 |
| 1 |
| 5 |
| 1 |
| 5 |
| 1 |
| 6 |
| 1 |
| 19 |
| 1 |
| 20 |
=
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 4 |
| 1 |
| 5 |
| 1 |
| 5 |
| 1 |
| 6 |
| 1 |
| 19 |
| 1 |
| 20 |
=
| 1 |
| 3 |
| 1 |
| 20 |
=
| 17 |
| 60 |
点评:此题主要考查了绝对值的性质;能够发现本题的规律可使计算更简便.
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