Question

一次函數(shù)y₁=kx+b與反比例函數(shù)y2=

k

x

的圖象如圖所示，若y₁＜y₂，則x的取值范圍是（　�。�

A．x＜-1或x＞4

B．-1＜x＜4

C．x＜-1或0＜x＜4

D．0＜x＜3

Answer 1

分析：y₁＜y₂，即反比例函數(shù)的函數(shù)值較大，即對(duì)相同的x的值，反比例函數(shù)對(duì)應(yīng)的點(diǎn)在上邊．據(jù)此即可寫出x的范圍．

解答：解：y₁＜y₂，即反比例函數(shù)的函數(shù)值較大，即對(duì)相同的x的值，反比例函數(shù)對(duì)應(yīng)的點(diǎn)在上邊．
故x的范圍是：x＜-1或0＜x＜4．
故選C．

點(diǎn)評(píng)：本題考查了函數(shù)的讀圖，正確理解比例函數(shù)的函數(shù)值較大，即對(duì)相同的x的值，反比例函數(shù)對(duì)應(yīng)的點(diǎn)在上邊是關(guān)鍵．