初中计算题,难(1-1/2-1/3-……-1/2008)*(1/2+1/3+1/4+……+1/2009)-(1-1/2-1/3-……-1/2009)*(1/2+1/3+1/4+……+1/2008)
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/21 16:31:18
![初中计算题,难(1-1/2-1/3-……-1/2008)*(1/2+1/3+1/4+……+1/2009)-(1-1/2-1/3-……-1/2009)*(1/2+1/3+1/4+……+1/2008)](/uploads/image/z/13045219-43-9.jpg?t=%E5%88%9D%E4%B8%AD%E8%AE%A1%E7%AE%97%E9%A2%98%2C%E9%9A%BE%281-1%2F2-1%2F3-%E2%80%A6%E2%80%A6-1%2F2008%EF%BC%89%2A%EF%BC%881%2F2%2B1%2F3%2B1%2F4%2B%E2%80%A6%E2%80%A6%2B1%2F2009%EF%BC%89-%EF%BC%881-1%2F2-1%2F3-%E2%80%A6%E2%80%A6-1%2F2009%EF%BC%89%2A%EF%BC%881%2F2%2B1%2F3%2B1%2F4%2B%E2%80%A6%E2%80%A6%2B1%2F2008%EF%BC%89)
初中计算题,难(1-1/2-1/3-……-1/2008)*(1/2+1/3+1/4+……+1/2009)-(1-1/2-1/3-……-1/2009)*(1/2+1/3+1/4+……+1/2008)
初中计算题,难
(1-1/2-1/3-……-1/2008)*(1/2+1/3+1/4+……+1/2009)-(1-1/2-1/3-……-1/2009)*(1/2+1/3+1/4+……+1/2008)
初中计算题,难(1-1/2-1/3-……-1/2008)*(1/2+1/3+1/4+……+1/2009)-(1-1/2-1/3-……-1/2009)*(1/2+1/3+1/4+……+1/2008)
(1-1/2-1/3-……-1/2008)*(1/2+1/3+1/4+……+1/2009)-(1-1/2-1/3-……-1/2009)*(1/2+1/3+1/4+……+1/2008)
=(1-1/2-1/3-……-1/2008)*(1/2+1/3+1/4+……+1/2009)-(1-1/2-1/3-……-1/2008)*(1/2+1/3+1/4+……+1/2008)+ 1/2009*(1/2+1/3+1/4+……+1/2008)
=(1-1/2-1/3-……-1/2008)*(1/2+1/3+1/4+……+1/2009 -1/2+1/3+1/4+……+1/2008)+1/2009*(1/2+1/3+1/4+……+1/2008)
=(1-1/2-1/3-……-1/2008)*1/2009+1/2009*(1/2+1/3+1/4+……+1/2008)
=(2-(1/2+1/3+1/4+……+1/2008))*1/2009+1/2009*(1/2+1/3+1/4+……+1/2008)
=2/2009 -(1/2+1/3+1/4+……+1/2008)*1/2009+1/2009*(1/2+1/3+1/4+……+1/2008)
=2/2009