从第一个开始每2个数一组 和为-1 ,
1+(-2)+3+(-4)·····+2011+(-2012)
=(1-2)+(3-4)+·····+(2011-2012)
= - 1×(2012÷2)
= - 1006
(+1)+(-2)+(+3)+(-4)+······+(+99)+(-100)
=(1-2)+(3-4)+·····+(99-100)
= - 1×(100÷2)
= - 50
绝对值直接去掉
=(1-1/2)+(1/2 -1/3)+(1/3-1/4)·····+(1/9-1/10)
=1-1/2+1/2 -1/3+1/3-1/4·····+1/9-1/10
=1-1/10
=9/10