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歡迎您訪問數學考題練習:已知點M(2a+b,a-2b)與點N(1-2b!

數學考題練習:已知點M(2a+b,a-2b)與點N(1-2b

更新時間:2024-01-12 16:26:00作者:貝語網校

已知點M(2a+b,a-2b)與點N(1-2b,-2a-b-1)關于x軸對稱,則a的值是

A.2

B.1

C.-1

D.0

試題答案

A

試題解析

本題比較容易,考查平面直角坐標系中任意一點P(x,y),關于x軸的對稱點是(x,-y),即關于x軸的對稱點,橫坐標不變,縱坐標都變成相反數.這樣就可以得到關于a,b的方程組,解方程組就可以求出a的值.

解答:根據題意得,

解得:.

故選A.

點評:這一類題目是需要識記的基礎題.解決的關鍵是對知識點的正確記憶.這類題目一般可以轉化為方程或方程組的問題.

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