1 . 如图,函数
和
的图象相交于点
,则不等式
的解集是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8591c458c5675e87f9f9f8ac2b710ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70108f50e7c170e18f70fe3e4967e36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a8981a8ed315eab773b89be3f4f8061.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:江苏省扬州市宝应县2023-2024学年八年级上学期期末数学试题
2 . 同一平面直角坐标系中,一次函数
的图象与正比例函数
的图象如图所示,则关于
的不等式
的解为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c143e0781facdd4e4b6db9854e0ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87f8af9ce5d927e6f422de42ead6ffb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/117096b203a6051fb4faf2f7ff223b00.png)
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2024-02-28更新
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3卷引用:浙江省宁波市鄞州区鄞州实验中学2023-2024学年八年级上学期期末数学试题
浙江省宁波市鄞州区鄞州实验中学2023-2024学年八年级上学期期末数学试题(已下线)专题19.17 一次函数与方程、不等式(分层练习)(基础练)-2023-2024学年八年级数学下册基础知识专项突破讲与练(人教版)广东省河源市紫金县2023-2024学年八年级下学期期中数学试题
3 . 如图,直线
过点
且与
轴交于点
,直线
与直线
交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/28/ffb31d5e-5617-47c9-b3b4-a1f84d8a147d.png?resizew=228)
(1)求直线
的函数解析式;
(2)当
时,求
的取值范围;
(3)若直线
上存在点
,当
时,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51a109f8365293a6d3c149047d352f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b1af5d4b930f8989cf63d44768621e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9c33700c3358cbbd8db376f9f0613b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed5be7c6c7884d4deae7aac33524ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/28/ffb31d5e-5617-47c9-b3b4-a1f84d8a147d.png?resizew=228)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a99fe0e33a037210d2f599c3dcee32e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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4 . 若一个函数,对于自变量的不同取值范围,该函数有不同的表达式,则这样的函数称为“分段函数”.
当
时,
;当
时,
,可以记作分段函数
.
(1)若
时,画出
与
之间的函数图像,并写出该函数两条不同类型的性质.
(2)正比例函数
的图像与函数
的图像的一个交点坐标为
,当
时,
的取值范围是______;
(3)已知点
,函数
的图像与线段
的交点个数随
的值的变化而变化,直接写出交点个数及对应的
的取值范围.
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4689e9b7087b8bdc4df4e9f5019cfe42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f45dc0914f198d1b3a9353dd748257a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad5026db3679c5af37767cec2fa8f37.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/25/d999a4f2-577f-4bbb-b4d5-89e637d9a571.png?resizew=241)
(2)正比例函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc7ec65bf8050e3727fc1ff527992a11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a81f3d24e1f078675dfdaa8b1611120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99271992d5dd6374ce712253cede3e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2024-02-28更新
|
157次组卷
|
3卷引用:江苏省南京市联合体2023-2024学年八年级上学期期末数学试题
5 . 已知一次函数
经过点
,与x轴交于点A.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/1/3fc326c9-f564-4dbd-a9f1-3dbc25938fb4.png?resizew=198)
(1)求b的值和点A的坐标;
(2)画出此函数的图象;
(3)观察图象,当
时,x的取值范围是______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15206717884bea18dfe2d7099489f849.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b46f350929a81f53ff470b92d6c02c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/1/3fc326c9-f564-4dbd-a9f1-3dbc25938fb4.png?resizew=198)
(1)求b的值和点A的坐标;
(2)画出此函数的图象;
(3)观察图象,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f501f87dd0966a6e43ce2b0c0243ed9.png)
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名校
6 . 一次函数
与
的图象如图所示,下列结论中正确的有( )
①对于函数
来说,y随x的增大而减小;②函数
的图象不经过第一象限;③
;④
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715416015a9634f5eafe3d399987d837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d11983799c973e41ae27f5f2851195f.png)
①对于函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715416015a9634f5eafe3d399987d837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ac52af992b67494b11c6540d24c0f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c08b03a213e2b069c7cafc9da0776cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed00fb607b6e58250a9a469e2b84e39d.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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3卷引用:陕西省西安市西安高新第一中学2023-2024学年八年级上学期期末数学试题
陕西省西安市西安高新第一中学2023-2024学年八年级上学期期末数学试题陕西省西安市碑林区黄河文化学校2023-2024学年八年级上学期开学试题数学试题(已下线)2023—2024学年名校期末好题汇编(人教版八年级数学下册)——专题六—一次函数的综合性问题
7 . 如图,函数
与
的图像相交于点
,则关于
的不等式
的解为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38cd2a180ae300bbf2388a709e4c28e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/023ab3a7eb0f59993c7608576e47c0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455dcc1fae9217b2fb8b51cf40f8463d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d21c306b78d968a3d49a1f95dbe4747.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/27/a537d41d-f71a-4f38-86b1-3e39fe695943.jpg?resizew=132)
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8 . 如图,已知直线
与直线
的交点的横坐标为
,则不等式
的解集为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5450d62d0fe91d14dc0c631901b7ed09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4e97b30800eb4e48adceee013a2d0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7eb3b5ab19d97f6c7df36294ccc3674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b00910b55b6abd0849056d2e0e648c2a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/28/b03986b9-0257-42eb-8382-1b6f4a911772.png?resizew=187)
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2024-02-26更新
|
494次组卷
|
4卷引用:浙江省金华市东阳市2023-2024学年八年级上学期期末数学试题
浙江省金华市东阳市2023-2024学年八年级上学期期末数学试题(已下线)专题03 函数及其应用(一次、反比例函数)(4大易错点分析+20个易错点+易错题通关)-备战2024年中考数学考试易错题(江苏专用)(已下线)专题19.18 一次函数与方程、不等式(分层练习)(提升练)-2023-2024学年八年级数学下册基础知识专项突破讲与练(人教版)(已下线)专题19.26 一次函数(全章分层练习)(提升练)-2023-2024学年八年级数学下册基础知识专项突破讲与练(人教版)
9 . 如图,在平面直角坐标系中,一次函数
的图象
经过点
,且与正比例函数
的图象
交于点
,与
轴交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/4/5e1434c4-9921-4e69-b8e3-f45ddaca46f6.png?resizew=163)
(1)填空:①直线
的表达式为______;
②当
时,
的取值范围是______;
(2)在
轴上是否存在一点
,使得
最短?若存在,求出点
的坐标;若不存在,请说明理由;
(3)设直线
分别与直线
交于
两点,当
时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed06ccefffc165f9c77250cd28301d8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4093961c2b174aef2a34a7cfc4738da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e2c359312dcb5f666ceb19a5b953a0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aebd45ae69e66464a53c3be20348735d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/4/5e1434c4-9921-4e69-b8e3-f45ddaca46f6.png?resizew=163)
(1)填空:①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99508de16dec79f7cc1b9e82a67cfe1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51a8d10345f567e0f2daf18529d42f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531322f8ec2d4d27f8cc421ee67e7d14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4450aea4eb355641db6eb07dbd4a6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 如图,直线
与双曲线
在第一象限相交于点
,
,直线
与
轴交于点
,则下列结论错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715416015a9634f5eafe3d399987d837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/083543be9dbfbc9b50dbad1723917023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc8362d054a769c541ee707e0c06cc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a365849a219e74ea285a5555549189a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715416015a9634f5eafe3d399987d837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() ![]() |
C.当![]() ![]() | D.![]() |
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