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  • 提問三道數(shù)學(xué)題

    提問三道數(shù)學(xué)題
    1.S is a set of n consecutive integers.比較the mean of S與the median of S大小 答案是一樣大
    我知道Mean=(a1+an)/2,當(dāng)n=2k時(shí),median=(ak+ak+1)/2;當(dāng)n=2k+1時(shí),median=ak+1,問題是怎么比較出mean和median想等的?(n,k,k+1均為a的角標(biāo))
    2.If 9 trees are originally planted in a
    circular pattern(就是9個(gè)點(diǎn)圍成一個(gè)圓圈),what is the least number of trees that
    must be transplanted so that the 9 trees will be in 2 straight rows?
    咋做?答案是9-2*2=5,這是啥意思?(此題的圖無法上傳,若實(shí)在不明題意,就不必回答)
    3.A rectangular rug covers half of a
    rectangular floor that is 9 feet wide and 12 feet long.If the dimensions of the
    rug are in the same ratio as those of the floor,how many feet long is the rug?答案是6根號(hào)下2
    請(qǐng)問既然rug蓋住floor一半,為何不能認(rèn)為其長(zhǎng)或?qū)捠莊loor的一半?而是非要通過面積一半來算?
    英語人氣:598 ℃時(shí)間:2020-02-04 04:32:56
    優(yōu)質(zhì)解答
    1假設(shè)有K個(gè)連續(xù)整數(shù),當(dāng)K為偶數(shù) 時(shí),其平均值為(1+K)/2,中位數(shù)為[K/2+(K/2+1)]/2=(1+K)/2
    當(dāng)K為奇數(shù)時(shí),平均值為(1+K)/2,中位數(shù)為(K+1)/2所以兩者相等.
    2看不明白.
    3題目是說毯子和地板是長(zhǎng)寬等比例的,所以毯子的長(zhǎng)為地板長(zhǎng)度除以根號(hào)2等于6根號(hào)2.
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