大师作文网1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100○(1/102+1/104+1/106+...+1/
来源：学生作业帮 编辑：大师作文网作业帮 分类：数学作业 时间：2024/11/10 22:15:23
1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100○(1/102+1/104+1/106+...+1/200)*2填大于号或小于号 或等于号
1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100
=(1+1/2+1/3+.+1/99+1/100)-2*(1/2+1/4+1/6+.+1/100)
=(1+1/2+1/3+.+1/99+1/100)-(1+1/2+1/3+.+1/50)
=1/51+1/52+1/53+.+1/100
=2*(1/102+1/104+1/106+...+1/200)*
因此两边是相等的,
=(1+1/2+1/3+.+1/99+1/100)-2*(1/2+1/4+1/6+.+1/100)
=(1+1/2+1/3+.+1/99+1/100)-(1+1/2+1/3+.+1/50)
=1/51+1/52+1/53+.+1/100
=2*(1/102+1/104+1/106+...+1/200)*
因此两边是相等的,
1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100○(1/102+1/104+1/106+...+1/
(1-1/2+1/3-1/4+1/5-1/6+.+1/99-1/100)/(1/102+1/104+1/106+.+1/
1/102+1/104+1/106+...+1/200分之1-1/2+1/3-1/4+1/5-1/6...+1/99-1
(1-1/2+1/3-1/4.+1/99-1/100 )÷（1/102+1/104+1/106+……+1/200）
1-1/2+1/3-1/4+1/5-1/6+…+1/99-1/100 1/(101+1)+1/(2+102)+1/(3+
（1－1/2+1/3-1/4+1/5-...+1/99-1/100)/[1/(1+101)+1/(2+102)+1/(3
1-1/2+1/3-1/4+...+1/99-1/100/1/1+101+1/2+102+1/3+103+...+1/5
1-1/2+1/3-1/4+1/5-1/6…+1/99-1/100）/（1/51+1/52+1/53+…+1/99+1/
(1-1/2)(1-1/3)(1-1/4).(1-1/99)(1-1/100)等于?
(1+1/1*3)*(1+1/2*4)*(1+1/3*5).(1+1/98*100)*(1+1/99*101)
(1+1/1+3)*(1+1/2*4)*(1+1/3*5)*.*(1+1/98*100)*(1+1/99*101)
(-1)+2+(-3)+4+(-5)+6+.+(-99)+100+(-101)+102