题目内容
a=
,b=
,a与b中较大的是______.
| 1+2+3+…+2001 |
| 2+3+4+…+2002 |
| 1+2+3+…+2002 |
| 2+3+4+…+2003 |
a=
,
=
,
=
,
=1-
;
b=
,
=
,
=
,
=1-
.
因为
>
,
所以a<b.
故答案为b.
| 1+2+3+…+2001 |
| 2+3+4+…+2002 |
=
| (1+2001)×2001 |
| (2+2002)×2001 |
=
| 2002 |
| 2004 |
=1-
| 2 |
| 2004 |
b=
| 1+2+3+…+2002 |
| 2+3+4+…+2003 |
=
| (1+2002)×2002 |
| (2+2003)×2002 |
=
| 2003 |
| 2005 |
=1-
| 2 |
| 2005 |
因为
| 2 |
| 2004 |
| 2 |
| 2005 |
所以a<b.
故答案为b.
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