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歡迎您訪問數學考題練習:如圖,矩形ABCD中,AB=3,AD=1,AB!

數學考題練習:如圖,矩形ABCD中,AB=3,AD=1,AB

更新時間:2024-01-12 16:24:59作者:貝語網校

如圖,矩形ABCD中,AB=3,AD=1,AB在數軸上,若以點A為圓心,對角線AC的長為半徑作弧交數軸的正半軸于M,則點M的坐標為

A.(2,0)

B.()

C.()

D.()

試題答案

C

試題解析

在RT△ABC中利用勾股定理求出AC,繼而得出AM的長,結合數軸的知識可得出點M的坐標.

解答:由題意得,AC===,

故可得AM=,BM=AM-AB=-3,

又∵點B的坐標為(2,0),

∴點M的坐標為(-1,0).

故選C.

點評:此題考查了勾股定理及坐標軸的知識,屬于基礎題,利用勾股定理求出AC的長度是解答本題的關鍵,難度一般.

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