湘西2016数学中考真题

& gt1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+……+1/(2015*2016)+1/(2016*2017)

=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+……+(1/2015-1/2016)+(1/2016-1/2017)

=1-1/2017=2016/2017

M=1(平方)+1/2(平方)+1/3(平方)+...+2016(方形)

& lt1+1/(1*2)+1/(2*3)+1/(3*4)+……+1/(2014*2015)+1/(2015*2016)

=1+(1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/2014-1/2015)+(1/2015-1/2016)

=1+1-1/2016=4031/2016

这个压轴题超出大纲了，作为竞赛题还可以。作为期中考试题，恐怕得分率极低。