如果反比例函數(shù)的圖象經(jīng)過點(diǎn)(3,2),那么下列各點(diǎn)中在此函數(shù)圖象上的點(diǎn)是( )
A.(-2,3)
B.(2,3)
C.(-3,2)
D.(6,-1)
【答案】
分析:根據(jù)反比例函數(shù)的圖象經(jīng)過點(diǎn)(3,2),求出反比例函數(shù)解析式,只要各點(diǎn)坐標(biāo)乘積等于比例系數(shù)即為函數(shù)圖象上的點(diǎn).
解答:解:∵反比例函數(shù)的圖象經(jīng)過點(diǎn)(3,2),
設(shè)反比例函數(shù)解析式為y=
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131103202140702971540/SYS201311032021407029715002_DA/0.png)
,
把點(diǎn)(3,2)代入y=
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131103202140702971540/SYS201311032021407029715002_DA/1.png)
得,
k=3×2=6,
則函數(shù)解析式為y=
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131103202140702971540/SYS201311032021407029715002_DA/2.png)
.
∵2×3=6,
故選B.
點(diǎn)評(píng):本題考查了反比例函數(shù)圖象上點(diǎn)的坐標(biāo)特征,所有在反比例函數(shù)上的點(diǎn)的橫縱坐標(biāo)的積應(yīng)等于比例系數(shù).