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歡迎您訪問數(shù)學(xué)考題練習(xí):如果b>a+c,那么a,b,c三個(gè)實(shí)數(shù)必定!

數(shù)學(xué)考題練習(xí):如果b>a+c,那么a,b,c三個(gè)實(shí)數(shù)必定

更新時(shí)間:2024-01-12 16:25:46作者:貝語網(wǎng)校

如果b>a+c,那么a,b,c三個(gè)實(shí)數(shù)必定

A.|b|>|a+c|

B.b<-a+c

C.b2>(a+c)2

D.不能確定

試題答案

D

試題解析

結(jié)合已知條件和實(shí)數(shù)比較大小的方法,進(jìn)行分析排除.

解答:A、當(dāng)b和a+c是兩個(gè)負(fù)數(shù)時(shí),根據(jù)絕對值大的反而小,故錯誤;

B、若a是正數(shù),當(dāng)b>a+c時(shí),則b>-a+c,故錯誤;

C、當(dāng)b和a+c是兩個(gè)負(fù)數(shù)時(shí),根據(jù)絕對值大的反而小,則其平方大的反而小,故錯誤.

綜上所述,故選D.

點(diǎn)評:注意:此題中b、a+c的符號可能是同正或同負(fù)或異號.

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