题目内容
计算：1+
+
+…+
=
| 1 |
| 1+2 |
| 1 |
| 1+2+3 |
| 1 |
| 1+2+3+…+10 |
1
| 9 |
| 11 |
1
．| 9 |
| 11 |
分析：原式分母计算后，通分并利用同分母分数的运算法则计算即可得到结果．
解答：解：原式=1+
+
+
+
+
+
+
+
+
=1+
+
+
+
+
+
+
+
=1+
+
+
+
+
+
+
=1+
+
+
+
+
+
=1+
+
+
+
+
=1+
+
+
+
=1+
+
+
=1+
+
=1
．
故答案为：1
．
| 1 |
| 3 |
| 1 |
| 6 |
| 1 |
| 10 |
| 1 |
| 15 |
| 1 |
| 21 |
| 1 |
| 28 |
| 1 |
| 36 |
| 1 |
| 45 |
| 1 |
| 55 |
=1+
| 1 |
| 2 |
| 1 |
| 10 |
| 1 |
| 15 |
| 1 |
| 21 |
| 1 |
| 28 |
| 1 |
| 36 |
| 1 |
| 45 |
| 1 |
| 55 |
=1+
| 3 |
| 5 |
| 1 |
| 15 |
| 1 |
| 21 |
| 1 |
| 28 |
| 1 |
| 36 |
| 1 |
| 45 |
| 1 |
| 55 |
=1+
| 2 |
| 3 |
| 1 |
| 21 |
| 1 |
| 28 |
| 1 |
| 36 |
| 1 |
| 45 |
| 1 |
| 55 |
=1+
| 5 |
| 7 |
| 1 |
| 28 |
| 1 |
| 36 |
| 1 |
| 45 |
| 1 |
| 55 |
=1+
| 3 |
| 4 |
| 1 |
| 36 |
| 1 |
| 45 |
| 1 |
| 55 |
=1+
| 7 |
| 9 |
| 1 |
| 45 |
| 1 |
| 55 |
=1+
| 4 |
| 5 |
| 1 |
| 55 |
=1
| 9 |
| 11 |
故答案为：1
| 9 |
| 11 |
点评：此题考查了有理数的混合运算，有理数的混合运算首先弄清运算顺序，先乘方，再乘除，最后算加减，有括号先算括号里边的，同级运算从左到右依次进行计算，然后利用各种运算法则计算，有时可以利用运算律来简化运算．
练习册系列答案
鹰派教辅衔接教材河北教育出版社系列答案
相关题目