一道数学题,请帮帮忙

来源:百度知道 编辑:UC知道 时间:2024/05/29 17:34:53
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/( )

1/6=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

It`s hard to say

因为1/6=(1*7)/(6*7)=7/42
所以1/6=1/14+1/21+1/42+1/63+1/126(前三个分别是(1,2,3)/42,还剩下1/42需要我们自己去分解)