题目内容
若S=
,则S的整数部分是
| 1 | ||||||||||
|
399
399
.分析:根据算式可知,
+
+
+
+
>
,
+
+
+
+
<
=
,所以1÷
<1÷(
+
+
+
+
)<1÷
,进一步计算,推出算式的整数部分.
| 1 |
| 1995 |
| 1 |
| 1996 |
| 1 |
| 1997 |
| 1 |
| 1998 |
| 1 |
| 1999 |
| 5 |
| 1997 |
| 1 |
| 1995 |
| 1 |
| 1996 |
| 1 |
| 1997 |
| 1 |
| 1998 |
| 1 |
| 1999 |
| 5 |
| 1995 |
| 1 |
| 399 |
| 1 |
| 399 |
| 1 |
| 1995 |
| 1 |
| 1996 |
| 1 |
| 1997 |
| 1 |
| 1998 |
| 1 |
| 1999 |
| 5 |
| 1997 |
解答:解:因为
+
+
+
+
>
,
+
+
+
+
<
=
,
所以1÷
<1÷(
+
+
+
+
)<1÷
,
即399<
<399.4,
所以S=
,则S的整数部分是399.
故答案为:399.
| 1 |
| 1995 |
| 1 |
| 1996 |
| 1 |
| 1997 |
| 1 |
| 1998 |
| 1 |
| 1999 |
| 5 |
| 1997 |
| 1 |
| 1995 |
| 1 |
| 1996 |
| 1 |
| 1997 |
| 1 |
| 1998 |
| 1 |
| 1999 |
| 5 |
| 1995 |
| 1 |
| 399 |
所以1÷
| 1 |
| 399 |
| 1 |
| 1995 |
| 1 |
| 1996 |
| 1 |
| 1997 |
| 1 |
| 1998 |
| 1 |
| 1999 |
| 5 |
| 1997 |
即399<
| 1 | ||||||||||
|
所以S=
| 1 | ||||||||||
|
故答案为:399.
点评:完成此题,认真分析,根据特点,灵活解答.
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