若正比例函数
的图象与反比例函数
的图象有一个交点坐标是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ca651bfc89628a3b05c6e87ce5d6f0.png)
(1)求这两个函数的表达式;
(2)求这两个函数图象的另一个交点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766bc42b7ead98238a339bb4dc42bb51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb79a1b0c6dc78e6de17de6bed477fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ca651bfc89628a3b05c6e87ce5d6f0.png)
(1)求这两个函数的表达式;
(2)求这两个函数图象的另一个交点坐标.
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2015年初中毕业升学考试(广东佛山卷)数学2017届广东省实验中学中考总复习模拟数学试卷【全国市级联考】甘肃省天水市重点中学2018届九年级中考数学模拟题(已下线)专题6.4 反比例函数(直通中考)-2023-2024学年九年级数学上册基础知识专项突破讲与练(北师大版)
更新时间:2016-12-06 01:41:32
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解答题-作图题
|
适中
(0.65)
【推荐1】已知一次函数
的图象平行于直线
,且经过点
.
![](https://img.xkw.com/dksih/QBM/2020/10/26/2579589203337216/2580760204738560/STEM/6dce4df1-8ac5-44cf-b320-d1a1d3424114.png?resizew=195)
(1)求此一次函数解析式;
(2)在给出的直角坐标系中画出该一次函数的图象;
(3)根据该一次函数的图象,当
时,
的取值范围是__________.
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc0ed3caf7c0459e22ab847ce53f194.png)
![](https://img.xkw.com/dksih/QBM/2020/10/26/2579589203337216/2580760204738560/STEM/6dce4df1-8ac5-44cf-b320-d1a1d3424114.png?resizew=195)
(1)求此一次函数解析式;
(2)在给出的直角坐标系中画出该一次函数的图象;
(3)根据该一次函数的图象,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解答题-问答题
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【推荐2】如图,直线y=ax+b与双曲线y
交于点A(2,n)和点B(﹣4,﹣2),且该直线与x轴交于点C,点D与点C关于y轴对称.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/20/5b117985-cbb2-4832-968a-815ca26bc370.png?resizew=240)
(1)求直线y=ax+b和双曲线y
的解析式;
(2)连接AD、BD,求△ABD的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860c93fe10745d9539006b34f374ccfd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/20/5b117985-cbb2-4832-968a-815ca26bc370.png?resizew=240)
(1)求直线y=ax+b和双曲线y
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860c93fe10745d9539006b34f374ccfd.png)
(2)连接AD、BD,求△ABD的面积.
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解答题-问答题
|
适中
(0.65)
【推荐1】如图,二次函数
的图象与
轴相交于点
,与反比例函数
的图象相交于点
.
(2)当
随
的增大而增大且
时,直接写出x的取值范围;
(3)平行于
轴的直线
与函数
的图象相交于点
、
(点
在点
的左边),与函数
的图象相交于点
.若
与
的面积相等,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328f82a827856e5dd08cd4f97dad33d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50267ed686538459a96706c8a5d690ce.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
(3)平行于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfa1a2af7e38d33634c462300df381f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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解答题-问答题
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适中
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【推荐2】如图,一次函数
与反比例函数
的图像相交于
,
两点,分别连接
.
(2)求
的面积;
(3)请直接写出
自变量
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be508b9952ae162a8abe2830b5c0bc6.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d071d008cdc313f6ed16a602f8a9669.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
(3)请直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9888be9da086605335059c05d9901e0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解答题-问答题
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适中
(0.65)
【推荐1】如图,正比例函数
的图象与反比例函数
的图象交于点
和点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/3/da4c5b72-38e2-4fea-ba60-85cf32ed5fac.png?resizew=229)
(1)求这两个函数的表达式;
(2)写出点
的坐标,并根据图象写出正比例函数值大于反比例函数值的
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766bc42b7ead98238a339bb4dc42bb51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb79a1b0c6dc78e6de17de6bed477fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c80eabaf101288433b3b9e92a4805a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/3/da4c5b72-38e2-4fea-ba60-85cf32ed5fac.png?resizew=229)
(1)求这两个函数的表达式;
(2)写出点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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【推荐2】如图,一次函数y=kx+b(k,b为常数,k≠0)的图象与反比例函数
的图象交于A、B两点,且与x轴交于点C,与y轴交于点D,A点的横坐标与B点的纵坐标都是3.
(1)求一次函数的表达式;
(2)求△AOB的面积;
(3)写出不等式kx+b>
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f4c80dcb55ad32da4e5c16067f17d30.png)
(1)求一次函数的表达式;
(2)求△AOB的面积;
(3)写出不等式kx+b>
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1c6e440d76a60b8b30d29bfec22346e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/8/ae63c37a-9c4e-48b9-8353-67d9a7f9a1d9.png?resizew=150)
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解答题-问答题
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(0.65)
【推荐1】如图,一次函数
的图象与反比例函数
在第一象限的图象交于点
和点B,与x轴交于点C.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/26/dc9364b8-ae52-45b0-85f8-1d749e77db86.png?resizew=148)
(1)求反比例函数的解析式;
(2)连接
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae652daf6059ff386f99bef2210518c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d49d34012ddf68fb981eb4975ac99b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc288a0493ddb41c80d1025f0e45c62a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/26/dc9364b8-ae52-45b0-85f8-1d749e77db86.png?resizew=148)
(1)求反比例函数的解析式;
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a5e484dfef494d27bc35ae7b8cf75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
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解答题-问答题
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适中
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【推荐2】如图,一次函数
与反比例函数
的图象相交于点A,B两点,点B的坐标为
.
![](https://img.xkw.com/dksih/QBM/2023/2/21/3179690637090816/3181706453204992/STEM/b26de6ad7df145a2b29192fededb7d96.png?resizew=172)
(1)分别求出一次函数和反比例函数的解析式;
(2)已知点
坐标为
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07565f10847840e0fb07b05218ad17fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/139b2ffb784d0a52cb21a1eb31c27f26.png)
![](https://img.xkw.com/dksih/QBM/2023/2/21/3179690637090816/3181706453204992/STEM/b26de6ad7df145a2b29192fededb7d96.png?resizew=172)
(1)分别求出一次函数和反比例函数的解析式;
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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