如图,直线
与坐标轴分别交于A、B两点,OA=8,OB=6.动点P从O点出发,沿路线O→A→B以每秒2个单位长度的速度运动,到达B点时运动停止.
(1)则A点的坐标为_____,B两点的坐标为______;
(2)当点P在OA上,且BP平分∠OBA时,则此时点P的坐标为______;
(3)设点P的运动时间为t秒(0≤t≤4),△BPA的面积为S,求S与t之间的函数关系式:并直接写出当S=8时点P的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcfe6e1fbccfdb1ccb0de1a1d718e117.png)
(1)则A点的坐标为_____,B两点的坐标为______;
(2)当点P在OA上,且BP平分∠OBA时,则此时点P的坐标为______;
(3)设点P的运动时间为t秒(0≤t≤4),△BPA的面积为S,求S与t之间的函数关系式:并直接写出当S=8时点P的坐标.
![](https://img.xkw.com/dksih/QBM/2019/3/26/2169082755899392/2173715778732032/STEM/0dd8df58185f41619489a2c1c43e73f2.png?resizew=205)
更新时间:2019-02-01 21:36:09
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【知识点】 几何问题(一次函数的实际应用)解读
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解答题-问答题
|
较难
(0.4)
【推荐1】如图,在平面直角坐标系中,直线
与
轴,
轴分别相交于
两点,
,
,直线
与直线
交于点
.
的解析式;
(2)判断
的形状,并说明理由;
(3)动点
在直线
上,动点
在直线
上,当以
为顶点的四边形是平行四边形时,求
两点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d501afbd7542f2f724b658edf39af4.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/173bc7a36757d77f01213411edd25241.png)
(3)动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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解答题-证明题
|
较难
(0.4)
解题方法
【推荐2】如图,在平面直角坐标系中,直线
分别交两坐标轴于A、B两点,直线y=-2x+2分别交两坐标轴于C、D两点
![](https://img.xkw.com/dksih/QBM/2020/4/15/2441988612014080/2442208448675840/STEM/b2405c0c-0ea0-4e7f-b14b-b0b5b3ecacc1.png)
(1)求A、B、C、D四点的坐标
(2)如图1,点E为直线CD上一动点,OF⊥OE交直线AB于点F,求证:OE=OF
(3)如图2,直线y=kx+k交x轴于点G,分别交直线AB、CD于N、M两点.若GM=GN,求k的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e091cface0c4a22727634eb480562d6.png)
![](https://img.xkw.com/dksih/QBM/2020/4/15/2441988612014080/2442208448675840/STEM/a334490e-e266-4495-9942-f24980e44490.png)
![](https://img.xkw.com/dksih/QBM/2020/4/15/2441988612014080/2442208448675840/STEM/b2405c0c-0ea0-4e7f-b14b-b0b5b3ecacc1.png)
(1)求A、B、C、D四点的坐标
(2)如图1,点E为直线CD上一动点,OF⊥OE交直线AB于点F,求证:OE=OF
(3)如图2,直线y=kx+k交x轴于点G,分别交直线AB、CD于N、M两点.若GM=GN,求k的值
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