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歡迎您訪問數學考題練習:解方程+=3時.設y=,則原方程化為y的整式方!

數學考題練習:解方程+=3時.設y=,則原方程化為y的整式方

更新時間:2024-01-12 16:28:25作者:貝語網校

解方程+=3時.設y=,則原方程化為y的整式方程為

A.2y2-6y+1=0

B.y2-3y+2=0

C.2y2-3y+1=0

D.y2+2y-3=0

試題答案

B

試題解析

觀察方程的兩個分式具備的關系,設=y,則原方程另一個分式為.可用換元法轉化為關于y的方程.

解答:∵有方程+=3,設y=,

則原方程可化為,

化為整式方程為:y2-3y+2=0.

故選B.

點評:本題主要考查用換元法解分式方程,題意在說明用換元法解分式方程的關鍵是通過換元把原分式方程化為整式方程.

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