1994+1/2-(1+1/3)+(2+1/2)-(3+1/3)+(4+1/2)-(5+1/3)+.+(1992+1/2)-(1993+1/3) 光写算式我看不懂.

1994+1/2-(1+1/3)+(2+1/2)-(3+1/3)+(4+1/2)-(5+1/3)+.+(1992+1/2)-(1993+1/3) 光写算式我看不懂.
数学人气:553 ℃时间:2020-02-05 08:20:05
优质解答
1994+1/2-(1+1/3)+(2+1/2)-(3+1/3)+(4+1/2)-(5+1/3)+.+(1992+1/2)-(1993+1/3)
=-(1+1/3)+(2+1/2)-(3+1/3)+(4+1/2)-(5+1/3)+.+(1992+1/2)-(1993+1/3)+(1994+1/2)
=-1-1/3+2+1/2-3-1/3+4+1/2-5-1/3+.+1992+1/2-1993-1/3+1994+1/2
=(-1+2-3+4-5+…+1992-1993+1994)+(-1/3+1/2-1/3+1/2-1/3+…+1/2-1/3+1/2)
=【(-1+2)+(-3+4)+…+(-1993+1994)】+(-1/3-1/3-…-1/3)+(1/2+1/2+…+1/2)
=1994/2+(-1/3)*(1994/2)+(1/2*1994/2)
=997-997/3+997/2
=1163又1/6.
我来回答
类似推荐
请使用1024x768 IE6.0或更高版本浏览器浏览本站点,以保证最佳阅读效果。本页提供作业小助手,一起搜作业以及作业好帮手最新版!
版权所有 CopyRight © 2012-2024 作业小助手 All Rights Reserved. 手机版