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歡迎您訪問數學考題練習:當m為何值時,方程 =產生增根!

數學考題練習:當m為何值時,方程 =產生增根

更新時間:2024-01-12 16:25:16作者:貝語網校

當m為何值時,方程 =產生增根

A.2

B.3

C.4

D.5

試題答案

A

試題解析

增根是化為整式方程后產生的不適合分式方程的根.所以應先確定增根的可能值,讓最簡公分母x-3=0,得到x=3,然后代入化為整式方程的方程算出a的值.

解答:原方程可化為x-1=m

∵方程產生增根,

∴x=3,

∴m=2.

故選A.

點評:本題考查了分式方程的增根,解決增根問題的步驟:

①確定增根的值;

②化分式方程為整式方程;

③把增根代入整式方程即可求得相關字母的值.

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