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1×1/2+1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+1/6×1/71×1/2+1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+1/6×1/7等于多少找规律，用简便方法
题目详情
1×1/2+1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+1/6×1/7
1×1/2+1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+1/6×1/7等于多少
找规律，用简便方法
1×1/2+1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+1/6×1/7等于多少
找规律，用简便方法
▼优质解答
答案和解析
1×1/2+1/2×1/3+1/3×1/4+1/4×1/5+1/5×1/6+1/6×1/7
=1-1/2+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
=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
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