作业帮(1-1/2+1/3-1/4+…+1/49-1/50)÷(1/26+1/27+…+1/50)=?
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：2024/05/02 02:24:34
(1-1/2+1/3-1/4+…+1/49-1/50)÷(1/26+1/27+…+1/50)=?
1-1/2+1/3-1/4.+1/49-1/50
=1-1/2+1/3-1/4.+1/49-1/50+(1/2+1/4+1/6+.+1/50)-(1/2+1/4+1/6+.+1/50)
=1+1/2+1/3+1/4.+1/49+1/50-2*(1/2+1/4+1/6+.+1/50)
=1+1/2+1/3+1/4.+1/49+1/50-(1+1/2+1/3+.+1/25)
=1/26+1/27+.+1/49+1/50
(1-1/2+1/3-1/4+…+1/49-1/50)÷(1/26+1/27+…+1/50)
=(1/26+1/27+.+1/49+1/50)÷(1/26+1/27+…+1/50)
=1
=1-1/2+1/3-1/4.+1/49-1/50+(1/2+1/4+1/6+.+1/50)-(1/2+1/4+1/6+.+1/50)
=1+1/2+1/3+1/4.+1/49+1/50-2*(1/2+1/4+1/6+.+1/50)
=1+1/2+1/3+1/4.+1/49+1/50-(1+1/2+1/3+.+1/25)
=1/26+1/27+.+1/49+1/50
(1-1/2+1/3-1/4+…+1/49-1/50)÷(1/26+1/27+…+1/50)
=(1/26+1/27+.+1/49+1/50)÷(1/26+1/27+…+1/50)
=1
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