1/2+1/6+1/12+1/20+1/30+1/42= 2+4+6+...+2010= (5/9-5/6+1/4)÷(
2个回答

1/2+1/6+1/12+1/20+1/30+1/42=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7=1-1/7=6/7

2+4+6+...+2010=2*(1+2+3+...+1005)=2*1005*1006/2=1011030

(5/9-5/6+1/4)÷(-1/36)= -36*(5/9-5/6+1/4)= -20+30-9=1

抱歉最后一个你题目少写了运算符号了吧,