题目内容
1+
+
+
+
+
+
+
+…+
+
+…+
+
+
+…+
=______.
| 1 |
| 2 |
| 2 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 3 |
| 3 |
| 2 |
| 3 |
| 1 |
| 3 |
| 1 |
| 10 |
| 2 |
| 10 |
| 9 |
| 10 |
| 10 |
| 10 |
| 9 |
| 10 |
| 1 |
| 10 |
1+
+
+
+
+
+
+
+…+
+
+…+
+
+
+…+
=1+
×(1+2+1)+
×(1+2+3+2+1)+
×(1+2+3+4+3+2+1)+…+
×(1+2+3+…+3+2+1)
=1+
×22+
×32+…+
×102
=1+2+3…+10
=(1+10)×10÷2
=55
故答案为:55.
| 1 |
| 2 |
| 2 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 3 |
| 3 |
| 2 |
| 3 |
| 1 |
| 3 |
| 1 |
| 10 |
| 2 |
| 10 |
| 9 |
| 10 |
| 10 |
| 10 |
| 9 |
| 10 |
| 1 |
| 10 |
=1+
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 10 |
=1+
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 10 |
=1+2+3…+10
=(1+10)×10÷2
=55
故答案为:55.
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