更新時(shí)間:2024-01-12 16:25:51作者:貝語網(wǎng)校
若點(diǎn)(2,1)是反比例y=的圖象上一點(diǎn),則m=________.
1或-3
將點(diǎn)(2,1)代入反比例y=,列出關(guān)于m的一元二次方程,然后解方程即可.
解答:∵點(diǎn)(2,1)是反比例函數(shù)y=的圖象上一點(diǎn),
∴點(diǎn)(2,1)滿足反比例函數(shù)的解析式y(tǒng)=,
∴1=,即m2+2m-3=0,
∴(m+3)(m-1)=0,
解得,m=-3或m=1.
故答案是:1或-3.
點(diǎn)評(píng):本題考查了待定系數(shù)法求反比例函數(shù)的解析式.解答時(shí),反比例函數(shù)圖象上點(diǎn)的坐標(biāo)特征,經(jīng)過函數(shù)的某點(diǎn)一定在函數(shù)的圖象上.