如图,已知一次函数
的图象与反比例函数
的图象分别交于A、B两点,且点
,点
.
与反比例函数
的解析式;
(2)求
的面积;
(3)直接写出
时自变量x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41d49bb2fdf76bbf030f0749462ab208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db8dc0564b187f7adb8184f714ab5da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a91df96d2cbc7e1b65d610ef00123128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06443a693d990dbacec1d9f49aa8463e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41d49bb2fdf76bbf030f0749462ab208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db8dc0564b187f7adb8184f714ab5da.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
(3)直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
2023·四川成都·一模 查看更多[3]
2023年四川省成都市乐至县中考一模数学试题(已下线)第22课 反比例函数的应用-2022-2023学年八年级数学下册《考点·题型·技巧》精讲与精练高分突破系列(浙教版)2023年四川省资阳市乐至县中考数学模拟预测题
更新时间:2023-05-08 08:39:24
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【推荐1】如图,平面直角坐标系中,直线
分别交x轴,y轴于点A,B,将
绕点O顺时针旋转
后,得到
;
解析式;
(2)若直线
于直线 l交于点C,求
面积;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ffbb81a839245f6a17e6e56935a82e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a21e44af368f3336354704d92609f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb0628cecbfc98d390e5447d52414e8.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb0628cecbfc98d390e5447d52414e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2df93bd15f25096c510b589aad0dfc1.png)
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【推荐2】如图,在平面直角坐标系
中,点O是坐标原点,直线
与直线
交于点A,两直线与x轴分别交于点
和
.
和直线
的解析式;
(2)点P是y轴上一点,当
最小时,求点P的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b123446d1c0d9eec7de4bc8a1c3169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fcf3fbb0c91c91725f52432dfa7eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad58326883500e654f384dc80c9cc08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a56e5ddc6dc057aa4076130cc6ce19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)点P是y轴上一点,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51a8d10345f567e0f2daf18529d42f0.png)
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【推荐1】如图,已知直线
和
分别交
轴于点
,
,两直线交于点
.
![](https://img.xkw.com/dksih/QBM/2020/12/2/2605408630734848/2611335528415232/STEM/d0d020a262434412a15d790aac21295d.png?resizew=218)
(1)求
,
的值;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5656ca4e36878f5786b77c0861b1dba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6457f101f1e03654e467a9252b94dcfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](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/efd6bbf05f39d38f6a584fd748cb0922.png)
![](https://img.xkw.com/dksih/QBM/2020/12/2/2605408630734848/2611335528415232/STEM/d0d020a262434412a15d790aac21295d.png?resizew=218)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐2】如图,在平面直角坐标系中,一次函数
的图象与
轴,
轴分别交于
,
两点,与正比例函数
的图象交于点
,点
的纵坐标为4.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/11/e3a00480-c614-48ce-838c-f7eece6eacb8.png?resizew=201)
(1)求
,
,
三点的坐标;
(2)若动点
在射线
上运动,当
的面积是
的面积的
时,求点
的坐标;
(3)若点
在
的内部(不包括边界),请直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07565f10847840e0fb07b05218ad17fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](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/4407788e4dc88210bca71a2551d4f2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/11/e3a00480-c614-48ce-838c-f7eece6eacb8.png?resizew=201)
(1)求
![](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)
(2)若动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532d9de08698f61d7c010805c61a4ec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcc52a06d806fde891e09a0a389fcd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca8b26c3ad6d892590290a2304126bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cfa9a9a8621854a7e6f529fc8a63d72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcc52a06d806fde891e09a0a389fcd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐1】如图,一次函数
的图象与反比例函数
的图象交于
,
两点.
(2)结合函数图像,请直接写出
的自变量的取值范围;
(3)若点
在
轴上,且满足
的面积等于
,求出点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/197d37a322f0754e556e7b03e1d4e9be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea08113b2a47b9ad50635cf8288d0ddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e555db9f2598828e647f618b858c8d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e32f6b9d0c1af91bc67c2c409f327bc3.png)
(2)结合函数图像,请直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e7a7aff4e7663a7e3228018a1db665.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3cbe52205e9c724bf7e12a2ccbc02bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45e61680ffc6f940bd5b8afda3ae9c59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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【推荐2】如图,直线
与反比例函数
的图像交于点
,与y轴交于点B.
![](https://img.xkw.com/dksih/QBM/2022/5/24/2986391220592640/2990507435982848/STEM/d5f3d25176fb4066a3299acc821bfad1.png?resizew=157)
(1)求反比例函数的解析式;
(2)连接OA,将
沿射线BA方向平移,平移后A、O、B的对应点分别是
、
、
,当点
恰好落在反比例函数
的图像上时,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31c4f39399ec245a67db2933ed639f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b9c8fe0bc3b52f512956502ef27b61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b74732c53c4dadb7b428c37269e4b6.png)
![](https://img.xkw.com/dksih/QBM/2022/5/24/2986391220592640/2990507435982848/STEM/d5f3d25176fb4066a3299acc821bfad1.png?resizew=157)
(1)求反比例函数的解析式;
(2)连接OA,将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b83beedb3438153e6f728545fe3e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fe32dfbd66709875c5b9f79c9496da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fe32dfbd66709875c5b9f79c9496da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b9c8fe0bc3b52f512956502ef27b61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fe32dfbd66709875c5b9f79c9496da.png)
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【推荐1】如图,一次函数
与反比例函数
的图象交于点
,与
轴交于点
,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/18/1cc45729-889a-457a-886b-a2cacb38b2aa.jpg?resizew=166)
(1)求
的值;
(2)观察函数图象,直接写出不等式
的解集;
(3)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c1972246a0a3d1c987d25205dbdd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a6b89f8c120b43d3dd46e96adfef4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d071d008cdc313f6ed16a602f8a9669.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/18/1cc45729-889a-457a-886b-a2cacb38b2aa.jpg?resizew=166)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/145af55a683736443895c9addf919fdc.png)
(2)观察函数图象,直接写出不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/928dab5a974a3fd468f7984cdc3a02c1.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
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【推荐2】如图,已知点
,过点P作
轴于点M,
轴于点N,反比例函数
的图象交
于点A,交
于点B.若四边形
的面积为12.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/ab050324-c960-4aa7-9438-7e2517b42f9a.png?resizew=148)
(1)求k的值;
(2)设直线
的解析式为
,请直接写出不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280319ba895438f1a3781b9ea1e92dfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3a3db6d96518255f96ad7fc1ac98f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ada707c061972d4e70925b538482e4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d9792485ccd1ba479ceba6397c15ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1b418d67b301ebfd7db583aa176e28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4b37603d3b3530824c24907c708d8c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/ab050324-c960-4aa7-9438-7e2517b42f9a.png?resizew=148)
(1)求k的值;
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85049660f8cbad064912ec9ec55bbcba.png)
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