一道小学的数学体,急待解决!~!~
先观察:1-1/2=1/1×21/2-1/3=1/2×31/3-1/4=1/3×41/4-1/5=1/4×5......再用简便方法计算:1/2+1/6+1/12+1/20+1/30
参考答案:1/2+1/6+1/12+1/20+1/30
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6
=1-1/6
=5/6
先观察:1-1/2=1/1×21/2-1/3=1/2×31/3-1/4=1/3×41/4-1/5=1/4×5......再用简便方法计算:1/2+1/6+1/12+1/20+1/30
参考答案:1/2+1/6+1/12+1/20+1/30
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6
=1-1/6
=5/6