一道六年级简算题 (1+1/2+1/3+1/4+……+1/99)·(1/2+1/3+1/4+……+1/100)-(1+1/2+1/3+1/4+……+1/…(1+1/2+1/3+1/4+……+1/99)·(1/2+1/3+1/4+……+1/100)-(1+1/2+1/3+1/4+……+1/100)·(1/2+1/3+1/4+……+1/99)

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/12 20:57:29
一道六年级简算题 (1+1/2+1/3+1/4+……+1/99)·(1/2+1/3+1/4+……+1/100)-(1+1/2+1/3+1/4+……+1/…(1+1/2+1/3+1/4+……+1/99)·(1/2+1/3+1/4+……+1/100)-(1+1/2+1/3+1/4+……+1/100)·(1/2+1/3+1/4+……+1/99)
xSJ0aDQJ'jFC41SjDхoE u("өLq,\ !7IνbF]weՓs~Xh# 0E*/[hnާ^/ z[tQYj+ ThX HXd͐0X]j`^֪aY(,X|Tׯ0 '+6Qqh\s&:\CSehfXSUN]ʈ-MB UK_Z heW׸8AM#Z];Qq%JMNx5^FÛ]i]?mfBN{IF׏⭳oěcv<$24HriCr B !H$E2XpN͈R3*

一道六年级简算题 (1+1/2+1/3+1/4+……+1/99)·(1/2+1/3+1/4+……+1/100)-(1+1/2+1/3+1/4+……+1/…(1+1/2+1/3+1/4+……+1/99)·(1/2+1/3+1/4+……+1/100)-(1+1/2+1/3+1/4+……+1/100)·(1/2+1/3+1/4+……+1/99)
一道六年级简算题 (1+1/2+1/3+1/4+……+1/99)·(1/2+1/3+1/4+……+1/100)-(1+1/2+1/3+1/4+……+1/…

(1+1/2+1/3+1/4+……+1/99)·(1/2+1/3+1/4+……+1/100)-(1+1/2+1/3+1/4+……+1/100)·(1/2+1/3+1/4+……+1/99) 

一道六年级简算题 (1+1/2+1/3+1/4+……+1/99)·(1/2+1/3+1/4+……+1/100)-(1+1/2+1/3+1/4+……+1/…(1+1/2+1/3+1/4+……+1/99)·(1/2+1/3+1/4+……+1/100)-(1+1/2+1/3+1/4+……+1/100)·(1/2+1/3+1/4+……+1/99)
这个题目的关键是整体思想

设1/2+1/3+1/4+……+1/99=a
则原式可化为
(1+a)(a+1/100)-(1+a+1/100)a
=a+1/100+a²+a/100-a-a²-a/100
=1/100