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歡迎您訪問數(shù)學(xué)考題練習(xí):若a是任意實數(shù),則下列等式一定成立的是!

數(shù)學(xué)考題練習(xí):若a是任意實數(shù),則下列等式一定成立的是

更新時間:2024-01-12 16:37:31作者:貝語網(wǎng)校

若a是任意實數(shù),則下列等式一定成立的是

A.

B.

C.

D.

試題答案

D

試題解析

根據(jù)當a≥0時,=a,當a<0時,=-a,即可得出正確答案.

解答:A,當a≥0時,=a,當a<0時,=-a,故不一定成立;

B,當a≥0時,=a,當a<0時,=-a,故不一定成立;

C,當a≥0時,=a,當a<0時,=-a,故不一定成立;

D,當a≥0時,=a,當a<0時,=-a,∴=|a|,一定成立;

故選D.

點評:本題考查了二次根式的性質(zhì)與化簡,屬于基礎(chǔ)題,關(guān)鍵是分類討論a的取值.

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