(1-1/2+1/3-1/4+…+1/49-1/50)÷(1/26+1/27+…+1/50)=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/30 12:14:54

(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)÷(1/26+1/27+…+1/50)=?

(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