用裂相相减法:原式=1/2*(1/2-1/4)+1/2*(1/4-1/6)+1/2*(1/6-1/8)+1/2*(1/8-1/10)+1/2*(1/10-1/12)=1/2*(1/2-1/4+1/4-1/6……-1/10+1/10-1/12)=1/2*(1/2-1/12)=5/24
原式=1/2(1/2-1/4+1/4-1/6+1/6-1/8+1/8-1/10+1/10-1/12)=1/2(1/2 - 1/12)=5/24