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数学
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巧算1/4+1/12+1/24+1/40+1/60+1/84+1/112求详细过程
人气:136 ℃ 时间:2019-10-26 12:18:13
解答
1/4+1/12+1/24+1/40+1/60+1/84+1/112
=1/2*(1/2+1/6+1/12+1/20+1/30+1/42+1/56)
=1/2*(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8)
=1/2*(7/8)
=7/16
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1/4+1/12+1/24+1/40+1/84+1/112+1/144+1/180
1/4+1/12+1/24+1/40+1/60+1/84+1/112
巧算1/4+1/12+1/24+1/40+1/60+1/84+1/112
用含n的代数式表示4、12、24、40、60、84、112.
2,12,24,40,60,84,112的最大公因数
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