如图,直线y=
x﹣4与坐标轴交于点A,B,该直线上的点P到x轴,y轴的距离分别为d1,d2
![](https://img.xkw.com/dksih/QBM/2022/3/9/2932384271933440/2961524495572992/STEM/219ec31f-df65-402e-b901-d1601996820d.png?resizew=280)
(1)若点P为AB的中点,求d1+d2的值;
(2)点P在射线AB上,若
<d1+d2<5,求点P横坐标x的范围.
(3)若在线段AB上存在无数个P点,使d1+md2为常数,求m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
![](https://img.xkw.com/dksih/QBM/2022/3/9/2932384271933440/2961524495572992/STEM/219ec31f-df65-402e-b901-d1601996820d.png?resizew=280)
(1)若点P为AB的中点,求d1+d2的值;
(2)点P在射线AB上,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5991e9ec7666f533a528a4173c58f0ff.png)
(3)若在线段AB上存在无数个P点,使d1+md2为常数,求m的值.
2021·浙江金华·一模 查看更多[4]
2021年浙江省义乌市初中毕业升学考试九年级数学调研卷2021年浙江省金华市义乌市中考数学调研试卷(已下线)专题4.17 一次函数的图象(直通中考)(培优练)-2023-2024学年八年级数学上册基础知识专项突破讲与练(北师大版)(已下线)专题6.17 一次函数的图象(直通中考)(培优练)-2023-2024学年八年级数学上册基础知识专项突破讲与练(苏科版)
更新时间:2022-04-19 14:19:55
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【推荐1】在平面直角坐标系中,已知点
,分别根据下列条件,求出点P的坐标:
(1)当点P在y轴上,P点坐标为 ;
(2)点P的纵坐标比横坐标大3,P点坐标为 ;
(3)点P到两坐标轴的距离相等,P点坐标为 ;
(4)点P向上平移1个单位得到点
,且点
在x轴上,P点的坐标为 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d618c388507a3490358e72bac15dfba0.png)
(1)当点P在y轴上,P点坐标为 ;
(2)点P的纵坐标比横坐标大3,P点坐标为 ;
(3)点P到两坐标轴的距离相等,P点坐标为 ;
(4)点P向上平移1个单位得到点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee6765a83140d745a6de4c85d9b6b50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee6765a83140d745a6de4c85d9b6b50.png)
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【推荐2】在平面直角坐标系
中,对于任意图形G及直线
,
,给出如下定义:将图形G先沿直线
翻折得到图形
,再将图形
沿直线
翻折得到图形
,则称图形
是图形G的
伴随图形.
例如:点
的[x轴,y轴]伴随图形是点
.
(1)点
的[x轴,y轴]伴随图形点
的坐标为 .
(2)已知
,
,
,直线m经过点
.
①当
,且直线m与y轴平行时,点A的[x轴,m]伴随图形点A的坐标为 ;
②当直线m经过原点时,若
的[x轴,m]伴随图形上只存在两个与x轴的距离为0.5的点,直接写出t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2beb91f10d2d8f2aa0dcc3f5cd1598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8f64ebec4a71a609204458cc54df82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea5c8fe935beac660eda538e59cd43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8f64ebec4a71a609204458cc54df82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb55d633fa25e240983fe635a9b4c058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb55d633fa25e240983fe635a9b4c058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea5c8fe935beac660eda538e59cd43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a1535a803d49c58d2849d862acb94b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a1535a803d49c58d2849d862acb94b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca0d1039ba91410565cb964a49569ab7.png)
例如:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43e15e83c607c1c733d34df1f52e40d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b53c11a39025f75277ace46ad6ed5c9.png)
(1)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2b450c6a9c5796cedd549439045310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a42da28be159399514cc6179a96e34b.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/618e53f9df0233f97dbb49ca087121b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3988238c378368f67ea3c9552ad40021.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba9af65bd4566e793c4fa10bcf7e4b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8c1bc582e15c8ae375017eff356fde.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1d86b4ad722d7b720603eba9d330fd1.png)
②当直线m经过原点时,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐1】如图,在平面直角坐标系中,直线
经过点
.
(1)求直线
所对应的函数表达式.
(2)若点
在直线
上,求
的值.
(3)利用图象直接写出:当
时,
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/671bfc7a31cead772449af2ec9034610.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/18/8f66cac3-0582-47b9-ba3b-e2eac8e5dc09.jpg?resizew=116)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ac86bffce4994d147d0962a9b98e9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)利用图象直接写出:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57458464618fcf619375a93d3c66d69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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【推荐2】如图,正比例函数
的图象与一次函数
的图象交于点
,一次函数图象经过点
,与y轴的交点为D,与x轴的交点为C.
![](https://img.xkw.com/dksih/QBM/2023/6/16/3260914476392448/3333658087473152/STEM/88700853bcd24399b37a9568bdcb66f3.png?resizew=176)
(1)求一次函数的表达式;
(2)求D点的坐标;
(3)求
的面积.
(4)在坐标轴上是否存在一点M,使
是等腰三角形,若不存在,请说明理由,若存在请直接写出点M的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4a2b4c212450b2a0f77e042c8da13dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2f21b1baf0624482fd41d7ba390341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d3bfa155ad67018da4d65815c5e5b8.png)
![](https://img.xkw.com/dksih/QBM/2023/6/16/3260914476392448/3333658087473152/STEM/88700853bcd24399b37a9568bdcb66f3.png?resizew=176)
(1)求一次函数的表达式;
(2)求D点的坐标;
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee780a7d0e8811fb04d955304543fce.png)
(4)在坐标轴上是否存在一点M,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781e6927e3bc512359dc8b0c11e195d5.png)
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