若a,b,c的倒數(shù)成等差數(shù)列,且a,b,c互不相等,則(b-c)/(a-b) =
若a,b,c的倒數(shù)成等差數(shù)列,且a,b,c互不相等,則(b-c)/(a-b) =
數(shù)學(xué)人氣:405 ℃時間:2020-07-12 23:42:01
優(yōu)質(zhì)解答
依題意1/a+1/c=2/b,a,b,c互不相等,且abc≠0 即是(a+c)b=2ac ab-ac=ac-bc 即是a(b-c)=c(a-b) 所以(b-c)/(a-b) =c/a
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