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歡迎您訪問數學考題練習:如果有理數a、b、c滿足,a+b+c=0,ab!

數學考題練習:如果有理數a、b、c滿足,a+b+c=0,ab

更新時間:2024-01-12 16:33:29作者:貝語網校

如果有理數a、b、c滿足,a+b+c=0,abc>0,那么a、b、c中負數的個數是

A.0

B.1

C.2

D.3

試題答案

C

試題解析

先根據abc>0,結合有理數乘法法則,易知a、b、c中有2個負數或沒有一個負數(都是正數),而都是正數,則a+b+c>0,不符合a+b+c=0的要求,于是可得a、b、c中必有2個負數.

解答:∵abc>0,

∴a、b、c中有2個負數或沒有一個負數,

若沒有一個負數,則a+b+c>0,不符合a+b+c=0的要求,

故a、b、c中必有2個負數.

故選C.

點評:本題考查了有理數的乘法、有理數的加法法則.解題的關鍵是分情況討論問題.

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