-1/2-1/6-1/12-1/20-1/30-1/42-1/56-1/72-1/90-1/10=-1 方法;1/(1*2)+1/(2*3)+1/(3*4)+……+1/(9*10)+1/10 =(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/9-1/10)+1/10 =1 把它们都变成相反数即可.也可以：-1/2-1/5-1/14-...