已知直線y=kx-3經(jīng)過(guò)點(diǎn)M(2,1),且與x軸交于點(diǎn)A,與y軸交于點(diǎn)B.
![](http://hiphotos.baidu.com/zhidao/pic/item/77c6a7efce1b9d16623c43d0f0deb48f8d54648c.jpg)
(1)求k的值;
(2)求A、B兩點(diǎn)的坐標(biāo);
(3)過(guò)點(diǎn)M作直線MP與y軸交于點(diǎn)P,且△MPB的面積為2,求點(diǎn)P的坐標(biāo).
![](http://hiphotos.baidu.com/zhidao/pic/item/6a600c338744ebf846f9bd8edaf9d72a6159a7f3.jpg)
(1)∵直線y=kx-3過(guò)點(diǎn)M(2,1)
∴1=2k-3,
∴k=2
(2)∵k=2,
∴y=2x-3
∴A(
,0),B(0,-3)
(3)∵P、B兩點(diǎn)在y軸上,
∴點(diǎn)M到y(tǒng)軸的距離為2
∵△MPB的面積為2,
∴PB=2
∵B(0,-3)
∴點(diǎn)P的坐標(biāo)為:P
1(0,-1),P
2(0,-5)