题目内容
S=
求：式中S的整数部分：
| 1 | ||||||||
|
9
9
．分析：根据算式，可知
+
+
+
+
+
+
+
+
+
＞
，
+
+
+
+
+
+
+
+
+
＜
，1÷
＜1÷（
+
+
+
+
+
+
+
+
+
）＜1÷
，所以9.1＜
+
+
+
+
+
+
+
+
+
＜9.55．进一步计算，推出算式的整数部分．
| 1 |
| 91 |
| 1 |
| 92 |
| 1 |
| 93 |
| 1 |
| 94 |
| 1 |
| 95 |
| 1 |
| 96 |
| 1 |
| 97 |
| 1 |
| 98 |
| 1 |
| 99 |
| 1 |
| 100 |
| 10 |
| (95+96)÷2 |
| 1 |
| 91 |
| 1 |
| 92 |
| 1 |
| 93 |
| 1 |
| 94 |
| 1 |
| 95 |
| 1 |
| 96 |
| 1 |
| 97 |
| 1 |
| 98 |
| 1 |
| 99 |
| 1 |
| 100 |
| 10 |
| 91 |
| 10 |
| 91 |
| 1 |
| 91 |
| 1 |
| 92 |
| 1 |
| 93 |
| 1 |
| 94 |
| 1 |
| 95 |
| 1 |
| 96 |
| 1 |
| 97 |
| 1 |
| 98 |
| 1 |
| 99 |
| 1 |
| 100 |
| 10 |
| (95+96)÷2 |
| 1 |
| 91 |
| 1 |
| 92 |
| 1 |
| 93 |
| 1 |
| 94 |
| 1 |
| 95 |
| 1 |
| 96 |
| 1 |
| 97 |
| 1 |
| 98 |
| 1 |
| 99 |
| 1 |
| 100 |
解答：解：因为
+
+
+
+
+
+
+
+
+
＞
，
+
+
+
+
+
+
+
+
+
＜
，
1÷
＜1÷（
+
+
+
+
+
+
+
+
+
）＜1÷
，
所以9.1＜1÷（
+
+
+
+
+
+
+
+
+
）＜9.55．
即式中S的整数部分是9．
故答案为：9．
| 1 |
| 91 |
| 1 |
| 92 |
| 1 |
| 93 |
| 1 |
| 94 |
| 1 |
| 95 |
| 1 |
| 96 |
| 1 |
| 97 |
| 1 |
| 98 |
| 1 |
| 99 |
| 1 |
| 100 |
| 10 |
| (95+96)÷2 |
| 1 |
| 91 |
| 1 |
| 92 |
| 1 |
| 93 |
| 1 |
| 94 |
| 1 |
| 95 |
| 1 |
| 96 |
| 1 |
| 97 |
| 1 |
| 98 |
| 1 |
| 99 |
| 1 |
| 100 |
| 10 |
| 91 |
1÷
| 10 |
| 91 |
| 1 |
| 91 |
| 1 |
| 92 |
| 1 |
| 93 |
| 1 |
| 94 |
| 1 |
| 95 |
| 1 |
| 96 |
| 1 |
| 97 |
| 1 |
| 98 |
| 1 |
| 99 |
| 1 |
| 100 |
| 10 |
| (95+96)÷2 |
所以9.1＜1÷（
| 1 |
| 91 |
| 1 |
| 92 |
| 1 |
| 93 |
| 1 |
| 94 |
| 1 |
| 95 |
| 1 |
| 96 |
| 1 |
| 97 |
| 1 |
| 98 |
| 1 |
| 99 |
| 1 |
| 100 |
即式中S的整数部分是9．
故答案为：9．
点评：完成此题，认真分析，根据特点，灵活解答．
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