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歡迎您訪問每日一練:下列說法中錯誤的是!

每日一練:下列說法中錯誤的是

更新時間:2024-01-12 12:55:37作者:貝語網校

下列說法中錯誤的是

A.平行四邊形的對角線互相平分

B.有兩對鄰角互補的四邊形為平行四邊形

C.對角線互相平分的四邊形是平行四邊形

D.一組對邊平行,一組對角相等的四邊形是平行四邊形

試題答案

B

試題解析

根據平行四邊形的性質即可判斷A;根據圖形和已知不能推出另一組對邊也平行,即可判斷B;根據平行四邊形的判定判斷即可;根據平行線性質和已知推出AD∥BC,根據平行四邊形的判定判斷即可.

解答:A、根據平行四邊形性質得出平行四邊形的對角線互相平分,故本選項錯誤;

B、

∠A+∠D=180°,同時∠B+∠C=180°,只能推出AB∥CD,不一定是平行四邊形,故本選項正確;

C、AC于BD交于O,OA=OC,OB=OD,∴四邊形ABCD是平行四邊形,故本選項錯誤;

D、∵AB∥CD,

∴∠B+∠C=180°,

∵∠B=∠D,

∴∠C+∠D=180°,

∴AD∥BC,

∴四邊形ABCD是平行四邊形,故本選項錯誤;

故選B.

點評:本題考查了對平行線的性質和平行四邊形的性質和判定的應用,能理解性質并應用性質進行說理是解此題的關鍵,題目較好,但是一道比較容易出錯的題目.

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