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歡迎您訪問每日一練:平面直角坐標系中,點A的坐標為(4,3),將線段O!

每日一練:平面直角坐標系中,點A的坐標為(4,3),將線段O

更新時間:2024-01-12 12:55:30作者:貝語網校

平面直角坐標系中,點A的坐標為(4,3),將線段OA繞原點O順時針旋轉90°得到OA′,則點A′的坐標是

A.(-4,3)

B.(-3,4)

C.(3,-4)

D.(4,-3)

試題答案

C

試題解析

根據題意畫出圖形旋轉后的位置,根據點的坐標知對應的線段長度,根據旋轉的性質求相應線段的長度,結合點所在象限,確定其坐標.

解答:解:作AB⊥x軸于B點,A′B′⊥y軸于B′點.如圖所示.

∵A(4,3),∴OB=4,AB=3.

∴OB′=4,A′B′=3.

∵A′在第四象限,∴A′(3,-4).

故選C.

點評:本題涉及圖形旋轉,體現了新課標的精神,抓住旋轉的三要素:旋轉中心O,旋轉方向順時針,旋轉角度90°,通過畫圖得A′坐標.

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