题目内容
| 29 |
| 42 |
| 27 |
| 56 |
| 41 |
| 72 |
| 85 |
| 99 |
| 107 |
| 143 |
| 177 |
| 182 |
分析:通过观察,每个分数都可以拆成两个分数相减的形式,然后通过加减相互抵消,求得结果.
解答:解:
+
+
+
+
+
,
=(
-
)+(
-
)+(
-
)+(
-
)+(
-
)+(
-
),
=(4
-4
)+(4
-4
)+(4
-4
)+(3
-
)+(4
-4
)+(12
-12
),
=
-
+
-
+
-
+
-
+
-
+
-
,
=
+
+
+
+
-
,
=
+
-
+
+
+
,
=2+
+
+
,
=4
;
| 29 |
| 42 |
| 27 |
| 56 |
| 41 |
| 72 |
| 85 |
| 99 |
| 107 |
| 143 |
| 177 |
| 182 |
=(
| 29 |
| 6 |
| 29 |
| 7 |
| 27 |
| 7 |
| 27 |
| 8 |
| 41 |
| 8 |
| 41 |
| 9 |
| 42.5 |
| 9 |
| 42.5 |
| 11 |
| 53.5 |
| 11 |
| 53.5 |
| 13 |
| 177 |
| 13 |
| 177 |
| 14 |
=(4
| 5 |
| 6 |
| 1 |
| 7 |
| 9 |
| 7 |
| 5 |
| 8 |
| 9 |
| 8 |
| 5 |
| 9 |
| 15.5 |
| 9 |
| 9.5 |
| 11 |
| 9.5 |
| 11 |
| 1.5 |
| 13 |
| 21 |
| 13 |
| 9 |
| 14 |
=
| 5 |
| 6 |
| 1 |
| 7 |
| 9 |
| 7 |
| 5 |
| 8 |
| 9 |
| 8 |
| 5 |
| 9 |
| 15.5 |
| 9 |
| 9.5 |
| 11 |
| 9.5 |
| 11 |
| 1.5 |
| 13 |
| 21 |
| 13 |
| 9 |
| 14 |
=
| 5 |
| 6 |
| 8 |
| 7 |
| 1 |
| 2 |
| 10.5 |
| 9 |
| 19.5 |
| 13 |
| 9 |
| 14 |
=
| 5 |
| 6 |
| 16 |
| 14 |
| 9 |
| 14 |
| 1 |
| 2 |
| 7 |
| 6 |
| 2 |
| 3 |
=2+
| 1 |
| 2 |
| 1 |
| 2 |
| 3 |
| 2 |
=4
| 1 |
| 2 |
点评:此题计算量较大,需仔细谨慎,做到思路清晰,计算出结果即可.
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