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歡迎您訪問每日一練:已知y=(m+1)xm-2是反比例函數,則函數圖象!

每日一練:已知y=(m+1)xm-2是反比例函數,則函數圖象

更新時間:2024-01-12 12:53:22作者:貝語網校

已知y=(m+1)xm-2是反比例函數,則函數圖象在

A.第一,三象限

B.第二,四象限

C.第一,二象限

D.第三,四象限

試題答案

A

試題解析

先根據反比例函數的定義得出m-2=-1,求出m的值,再由反比例函數的性質,當k>0時,圖象分別位于第一、三象限;當k<0時,圖象分別位于第二、四象限.即可得出結果.

解答:依題意有m-2=-1,

解得m=1,

因而函數是y=,

故函數經過第一,三象限.

故選A.

點評:(1)將反比例函數解析式的一般式(k≠0),轉化為y=kx-1(k≠0)的形式,根據反比例函數的定義條件可以求出m的值;

(2)特別注意不要忽略k≠0這個條件.并且反比例函數圖象所在的象限,是由反比例系數k的符號確定.

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