(1+1/2008+1/2009)*(1/2008+1/2009+1/2010)-(1+1/2008+1/2009+1/2010)*(1/2008+1/2009) (1+1/2008+1/2009)*(1/2008+1/2009+1/2010)-(1+1/2008+1/2009+1/2010)*(1/2008+1/2009)

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/30 11:01:40

(1+1/2008+1/2009)*(1/2008+1/2009+1/2010)-(1+1/2008+1/2009+1/2010)*(1/2008+1/2009)
(1+1/2008+1/2009)*(1/2008+1/2009+1/2010)-(1+1/2008+1/2009+1/2010)*(1/2008+1/2009)

设1/2008+1/2009=t
(1+1/2008+1/2009)*(1/2008+1/2009+1/2010)-(1+1/2008+1/2009+1/2010)*(1/2008+1/2009)
=(1+t)(t+1/2010)-t(1+t+1/2010)
=t(1+t)+(1+t)/2010-t(1+t)-t/2010
=(1+t-t)/2010
=1/2010