如图,在平面直角坐标系中,反比例函数
的图象经过点
,将点A向右平移2个单位,再向下平移a个单位得到点B,点B恰好落在反比例函数
的图象上,过A,B两点的一次函数
的图象与y轴交于点C.
![](https://img.xkw.com/dksih/QBM/2022/5/13/2978621056614400/2979872037683200/STEM/c0abbaf8-a9b6-4f3a-bf8a-bf45c9bf49a1.png?resizew=295)
(1)分别求出反比例函数与一次函数的解析式,并在网格中画出反比例函数和过A,B两点的一次函数图象;
(2)连接BO,求△BOC的面积;
(3)根据图象,直接写出不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a249a4460b4edd504ae4dfecccd032bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca979687ffb2214e747525635a6912c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a249a4460b4edd504ae4dfecccd032bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0bb22b9722cbbca2802610d6e58554e.png)
![](https://img.xkw.com/dksih/QBM/2022/5/13/2978621056614400/2979872037683200/STEM/c0abbaf8-a9b6-4f3a-bf8a-bf45c9bf49a1.png?resizew=295)
(1)分别求出反比例函数与一次函数的解析式,并在网格中画出反比例函数和过A,B两点的一次函数图象;
(2)连接BO,求△BOC的面积;
(3)根据图象,直接写出不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55fff9d65ea6b3af5c82270fca6a5d0f.png)
2022·重庆·二模 查看更多[3]
2022年重庆育才中学教育集团九年级下学期自主作业(二) 数学试题2023年重庆市第一一〇中学校中考模拟测试数学试卷(二)(已下线)专题08 反比例函数(3个考点)-学易金卷:5年(2019-2023)中考1年模拟数学真题分项汇编(重庆专用)
更新时间:2022-05-15 12:28:05
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(1)两人比赛的全程是______米,______同学先到达终点;
(2)两人相遇时乙的速度为_______m/s:
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【推荐2】如图,直线
与双曲线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05621b18b7ffc991d9f30380e2e08fea.png)
交于
,
两点,且点
的坐标为
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![](https://img.xkw.com/dksih/QBM/2020/5/12/2461213535862784/2461953684832256/STEM/58a401c921c14472ab979657fb55ab9a.png?resizew=200)
(1)求
,
的值;
(2)当
时,根据图像,直接写出
时
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c2eaa628a909cfa3a9fecc556f55554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05621b18b7ffc991d9f30380e2e08fea.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69abe959988e4c8c0739f5857ccfb0f.png)
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(1)求
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(2)当
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e7c046370c5e020c5cf996a0d2ad3fb.png)
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【推荐1】如图,直线
与反比例函数的图象交于点
,第一象限内的点B在这个反比例函数图象上,
与x轴正半轴的夹角为α,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/8/424b49b1-d017-4b5a-b030-bb29360f9ed2.png?resizew=122)
(1)求反比例函数的解析式;
(2)求点B的坐标;
(3)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73ac1756e6cc3266bd7198a024f871af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360315159fbf38fd561a5757ea8417db.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/8/424b49b1-d017-4b5a-b030-bb29360f9ed2.png?resizew=122)
(1)求反比例函数的解析式;
(2)求点B的坐标;
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a711bf44ed64556c72fbb0e7f42c27f.png)
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【推荐2】如图,已知
,
是一次函数
的图象和反比例函数
的图象的两个交点,直线
与
轴交于点
.
(2)连接
,求
的面积;
(3)不等式
的解集是 ______________________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f642138b88ad6219f47d7bd0bee546e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54091bb290b92af171da703aebb72b91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05621b18b7ffc991d9f30380e2e08fea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbf9680f74a9ac5d934304654ce2771.png)
(3)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f6bcc1f9654c72a2e82e155777504b.png)
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【推荐1】如图,平面直角坐标系中,
各顶点的坐标依次为
,
,
.
先向左平移1个单位长度,再向上平移3个单位长度得到
.
①请在图中画出
;
②点
,
,
的坐标可以看成是点
,
,
的横坐标分别______、纵坐标分别______得到的;
③
也可以看成是
沿
的方向一次平移______个单位长度得到;
(2)将点
,
,
的横、纵坐标分别乘
,依次得到点
,
,
,
①请在图中画出
;
②请写出
与
的位置关系:______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
①请在图中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
②点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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(2)将点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
①请在图中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828dc8dc7259c510b6d63abf40f60e90.png)
②请写出
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【推荐2】如图,在平面直角坐标系中,每个方格的边长均为1个单位长度,△ABC的三个顶点的坐标分别是A(1,4),B(4,2),C(3,5).
(1)将△ABC平移,使点A移动到点A1,请画出平移后得到的△A1B1C1;
(2)将△ABC绕点O顺时针旋转90°,请画出旋转后得到的△A2B2C2;
(3)若点P(a,b)是△ABC内一点,请写出△A1B1C1内的对应点P1的坐标.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/6/48f7c926-74f6-426a-a34e-c07a2558717e.png?resizew=268)
(1)将△ABC平移,使点A移动到点A1,请画出平移后得到的△A1B1C1;
(2)将△ABC绕点O顺时针旋转90°,请画出旋转后得到的△A2B2C2;
(3)若点P(a,b)是△ABC内一点,请写出△A1B1C1内的对应点P1的坐标.
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【推荐1】如图,已知
是反比例函数
的图象和一次函数
的图象的两个交点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/18/122a3d5d-c995-4287-b1da-8900ba181f43.png?resizew=154)
(1)求反比例函数和一次函数的解析式;
(2)根据图象直接写出不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3028fdbaa44d4af0af207b5ff669bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/18/122a3d5d-c995-4287-b1da-8900ba181f43.png?resizew=154)
(1)求反比例函数和一次函数的解析式;
(2)根据图象直接写出不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d16aafdffe8226ffbfe7b0bf5816095.png)
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【推荐2】如图,反比例函数
的图象与直线
交于点
,点
是线段
上的一个动点,过点
作
轴的垂线分别交反比例函数图象和
轴于点
和点
.
(2)根据图象直接写出
的自变量x的取值范围;
(3)当AB长为
时,求点A的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9940526785ca763da2dfa35e77c934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1447dbe580ac5c825776995118e75acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d77e1f72973c9f5247b16846b442a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)根据图象直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ff0764f4fcc92e08f57c9f30391156.png)
(3)当AB长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
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