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歡迎您訪問數學考題練習:下列各命題的逆命題不成立的是!

數學考題練習:下列各命題的逆命題不成立的是

更新時間:2024-01-12 16:27:16作者:貝語網校

下列各命題的逆命題不成立的是

A.兩直線平行,同旁內角互補

B.若兩個數的絕對值相等,則這兩個數也相等

C.相等的兩個角是對頂角

D.如果a=b,那么a2=b2

試題答案

D

試題解析

把一個命題的條件和結論互換就得到它的逆命題.分析是否為真命題,需要分別分析各題設是否能推出結論,從而利用排除法得出答案.

解答:A、逆命題為同旁內角互補,兩直線平行,成立;

B、逆命題為如果兩個數相等,那么這兩個數的絕對值也相等,成立;

C、逆命題為對頂角相等,成立;

D、如(-3)2=32,但3≠-3,所以如果a2=b2,那么a=b不成立.

故選D.

點評:本題考查了互逆命題的知識,兩個命題中,如果第一個命題的條件是第二個命題的結論,而第一個命題的結論又是第二個命題的條件,那么這兩個命題叫做互逆命題.其中一個命題稱為另一個命題的逆命題.

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