题型:解答题-问答题
难度:0.65
引用次数:128
题号:7311950
如图,在平面直角坐标系内,点A的坐标为(0,24),经过原点的直线l1与经过点A的直线l2相交于点B,点B的坐标为(18,6).
(1)求直线l1,l2对应的函数表达式;
(2)点C为线段OB上一动点(点C不与点O,B重合),作CD∥y轴交直线l2于点D,设点C的纵坐标为a,求点D的坐标(用含a的代数式表示).
(1)求直线l1,l2对应的函数表达式;
(2)点C为线段OB上一动点(点C不与点O,B重合),作CD∥y轴交直线l2于点D,设点C的纵坐标为a,求点D的坐标(用含a的代数式表示).
![](https://img.xkw.com/dksih/QBM/2018/12/6/2091141252710400/2096045047365632/STEM/ecf727f8-eac8-4b25-8761-43cae76697ad.png)
更新时间:2018-12-13 19:17:28
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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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适中
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【推荐1】如图,在平面直角坐标系中,四边形OABC是直角梯形,
,
,
,
,现有一动点P从点A出发,以每秒2个单位长度的速度沿AO方向,经O点再往OC方向移动,最后到达C点.设点P移动时间为t秒.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/23/9e0b7863-aa28-4cad-a506-e0f3687911ef.png?resizew=228)
(1)求点B的坐标;
(2)当t为多少时,
的面积等于13;
(3)在(2)的条件下,取BP中点M,在x轴上找一点N,使
和最小,求此时N点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e1f5542b5ecf85b5bcc33e1d24cb2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e8fd1ce0df99890a2147191d6fe8961.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/23/9e0b7863-aa28-4cad-a506-e0f3687911ef.png?resizew=228)
(1)求点B的坐标;
(2)当t为多少时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d9cc98e6df306063e645044f0faa7d.png)
(3)在(2)的条件下,取BP中点M,在x轴上找一点N,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03776cc5192156a3f3ed094c8ad5e426.png)
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适中
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【推荐2】如图,在
中,
,
.动点P,Q同时从点C出发,动点P以
的速度沿
向终点A匀速运动;动点Q以
的速度沿
向终点B匀速运动.连接
,设点P的运动时间为
,
的面积为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/12/94af99ba-155e-487a-8c54-a3e5a0068b63.png?resizew=307)
(1)当
时,
______.
(2)求s与t之间的函数解析式,并写出自变量t的取值范围.
(3)当直线
把
分成面积比为
两部分时,直接写出此时t的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
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(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447a9718a502491b47072ce013c26a2f.png)
(2)求s与t之间的函数解析式,并写出自变量t的取值范围.
(3)当直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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