62问答网 > (1-1⼀2+1⼀3-1⼀4+…+1⼀49-1⼀50)÷(1⼀26+1⼀27+…+1⼀50)=？写出解题过程

(1-1⼀2+1⼀3-1⼀4+…+1⼀49-1⼀50)÷(1⼀26+1⼀27+…+1⼀50)=？写出解题过程

2025-06-21 03:55:11

推荐回答（1个）

回答1：

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