(1+1/2+1/3+1/4+1/5)×(1/2+1/3+1/4+1/5+1/6)-(1+1/2+1/3+1/4+1/5+1/6)×(1/2+1/3+1/4+1/5)
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/24 07:32:12
![(1+1/2+1/3+1/4+1/5)×(1/2+1/3+1/4+1/5+1/6)-(1+1/2+1/3+1/4+1/5+1/6)×(1/2+1/3+1/4+1/5)](/uploads/image/z/15213998-38-8.jpg?t=%EF%BC%881%2B1%2F2%2B1%2F3%2B1%2F4%2B1%2F5%EF%BC%89%C3%97%EF%BC%881%2F2%2B1%2F3%2B1%2F4%2B1%2F5%2B1%2F6%EF%BC%89-%EF%BC%881%2B1%2F2%2B1%2F3%2B1%2F4%2B1%2F5%2B1%2F6%EF%BC%89%C3%97%EF%BC%881%2F2%2B1%2F3%2B1%2F4%2B1%2F5%EF%BC%89)
(1+1/2+1/3+1/4+1/5)×(1/2+1/3+1/4+1/5+1/6)-(1+1/2+1/3+1/4+1/5+1/6)×(1/2+1/3+1/4+1/5)
(1+1/2+1/3+1/4+1/5)×(1/2+1/3+1/4+1/5+1/6)-(1+1/2+1/3+1/4+1/5+1/6)×(1/2+1/3+1/4+1/5)
(1+1/2+1/3+1/4+1/5)×(1/2+1/3+1/4+1/5+1/6)-(1+1/2+1/3+1/4+1/5+1/6)×(1/2+1/3+1/4+1/5)
设1+1/2+1/3+1/4+1/5=a 1/2+1/3+1/4+1/5=b
(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4+1/5+1/6)-(1+1/2+1/3+1/4+1/5+1/6)*(1/2+1/3+1/4+1/5)=a*(b+1/6)-(a+1/6)*b=1/6(a-b)=1/6