巧算(需过程)1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100————————————————————(分数线)=?1/51+1/52+1/53+.+1/99+1/100

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 13:14:56
巧算(需过程)1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100————————————————————(分数线)=?1/51+1/52+1/53+.+1/99+1/100

巧算(需过程)1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100————————————————————(分数线)=?1/51+1/52+1/53+.+1/99+1/100
巧算(需过程)
1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100
————————————————————(分数线)=?
1/51+1/52+1/53+.+1/99+1/100

巧算(需过程)1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100————————————————————(分数线)=?1/51+1/52+1/53+.+1/99+1/100
分子=1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100
=1+1/2+1/3+1/4+1/5+1/6+.+1/99+1/100-2*(1/2+1/4+1/6+.+1/100)
=1+1/2+1/3+1/4+1/5+1/6+.+1/99+1/100-(1+1/2+1/3+1/4+1/5+1/6+.+1/50)
=1/51+1/52+1/53+.+1/100
=分母
所以,原算式=1