1-1/2+1/3-1/4+1/5-1/6+…+1/99-1/100 1/(101+1)+1/(2+102)+1/(3+

来源：学生作业帮编辑：拍题作业网作业帮分类：数学作业时间：2024/05/05 22:06:58

1-1/2+1/3-1/4+1/5-1/6+…+1/99-1/100 1/(101+1)+1/(2+102)+1/(3+103)+…+1/(49+149)+1/(50+150)
第一行是分子,第二行是分母

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+.+1/50）
=1/51+1/52+1/53+.+1/100
分母=1/102+1/104+1/106+.+1/200
=1/2*（1/51+1/52+1/53+.+1/100）
分子除分母=1/（1/2）=2

1-1/2+1/3-1/4+1/5-1/6+…+1/99-1/100 1/(101+1)+1/(2+102)+1/(3+ (-1)+2+(-3)+4+(-5)+6+.+(-99)+100+(-101)+102 （1/1+101+1/2+102+……+1/50+150）÷（1-1/2+1/3-1/4+……+1/99-1/100）分子是1-1/2+1/3-1/4+1/5-1/6……+1/99-1/100,分母有点复杂,是1/(1+101)+1/(2 （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+1/1*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) 1-1/2+1/3-1/4+1/5-1/6…+1/99-1/100）/（1/51+1/52+1/53+…+1/99+1/ (1-1/2+1/3-1/4+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/ 1,2,3,...,99,100； 2,3,4,...,100,101； 4,5,6,...,101,102；...10