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观察:1/4=1X5/4X5=5/20=1/20+4/20=1/20+1/5,1/5=1X6/5X6=6/30=1/30+5/30=1/30+1/6,1/4=1/20+1/30+1/6.求1/6=1/()+1/()+1/(）+1／（）+1／()
题目详情
观察:1/4=1X5/4X5=5/20=1/20+4/20=1/20+1/5,
1/5=1X6/5X6=6/30=1/30+5/30=1/30+1/6,
1/4=1/20+1/30+1/6.
求1/6=1/( )+1/( )+1/( ）+1／（ ）+1／( )
1/5=1X6/5X6=6/30=1/30+5/30=1/30+1/6,
1/4=1/20+1/30+1/6.
求1/6=1/( )+1/( )+1/( ）+1／（ ）+1／( )
▼优质解答
答案和解析
1/6=1X7/6X7=7/42=1/42+1/7
1/7=1X8/7X8=8/56=1/56+1/8
1/8=1X9/8X9=9/72=1/72+1/9
1/9=1X10/9X10=10/90=1/90+1/10
故1/6=1/42+1/56+1/72+1/90+1/10
1/7=1X8/7X8=8/56=1/56+1/8
1/8=1X9/8X9=9/72=1/72+1/9
1/9=1X10/9X10=10/90=1/90+1/10
故1/6=1/42+1/56+1/72+1/90+1/10
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