一、解答:根據(jù)題目所要求證的問題,應考慮按照同一抽屜中,任意兩數(shù)都具有倍數(shù)關系的原則制造抽屜。把這20個數(shù)按奇數(shù)及其倍數(shù)分成以下十組,看成10個抽屜:
{1,2,4,8,16},{3,6,12},{5,10,20},{7,14},{9,18},{11},{13},{15},{17},{19}。
二、課外趣題:用1~8這八個數(shù)字組成四個兩位數(shù),并使這四個數(shù)的和等于144。這四個數(shù)中最小數(shù)與最大數(shù)的乘積最小是多少?
解答:13+28+47+56=144,13×56=728