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歡迎您訪問數(shù)學考題練習:已知點(1,1)在反比例函數(shù)y=(k為常數(shù),k!

數(shù)學考題練習:已知點(1,1)在反比例函數(shù)y=(k為常數(shù),k

更新時間:2024-01-12 16:38:19作者:貝語網(wǎng)校

已知點(1,1)在反比例函數(shù)y=(k為常數(shù),k≠0)的圖象上,則這個反比例函數(shù)的大致圖象是

A.

B.

C.

D.

試題答案

C

試題解析

先根據(jù)反比例函數(shù)圖象的特點排除A、B,再k=xy的特點求出k的值,再由反比例函數(shù)圖象的特點即可進行解答.

解答:∵此函數(shù)是反比例函數(shù),

∴此函數(shù)圖象為雙曲線,

∴A、B錯誤;

∵點(1,1)在反比例函數(shù)y=(k為常數(shù),k≠0)的圖象上,

∴k=1×1=1,

∴此反比例函數(shù)的圖象在一、三象限,

∴C正確.

故選C.

點評:本題考查的是反比例函數(shù)圖象的特點,解答此題的關(guān)鍵是熟知反比例函數(shù)的圖象是雙曲線.

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