1 . 已知一次函数
(a为常数,
)和
.
(1)当
时,两个函数图象的交点坐标为 _____ ;
(2)若两个函数图象的交点在第三象限,则a的取值范围为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d9dbf518867e4f70a814df915eb4afd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7050d4cdb3485d9e88a80777e5b7cb9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
(2)若两个函数图象的交点在第三象限,则a的取值范围为
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2 . 如图,函数
和
的图像相交
,则关于
的不等式
的解集为_________ .
![](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/7f1b3d58f266f00d41d0404567cf82fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/710f5b495491febf69681b978553754f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/7751346c-ef40-447a-9eb2-09dfad588758.png?resizew=195)
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3 . 如图,已知直线
与
轴相交于点
,与
轴相交于点
,直线
与直线
相交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/22/81b69d6a-b7b0-430f-901a-f6e47cc6e17b.png?resizew=132)
(1)求
的值及直线
的函数表达式;
(2)根据图象,直接写出关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823099d18b79aad79a43d30704291aa5.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/2c30fd97fafb3779aa4f4660f41e2939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdbe8dadf38a5ef2ac64b5d30a68ab67.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/22/81b69d6a-b7b0-430f-901a-f6e47cc6e17b.png?resizew=132)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)根据图象,直接写出关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9d8d0371ee9b30d661800e3f8fa0d7b.png)
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4 . 如图,在四边形
中,
,
,
,
,
是线段
上从点
向点
运动的一个动点(不含
、
),
是线段
上从点
向点
运动的一个动点(不含
、
),点
、
同时开始运动,当其中一个动点抵达终点时,另一个立即停止运动.连接
,
.已知点
在其运动路径上的速度始终为每秒1个单位长度,点
在其运动路径上的速度始终为每秒2个单位长度,设点
的运动时间为
秒,
的面积为
,
的面积为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/3d689522-b1e8-4577-87c2-4081d3f1aa7e.png?resizew=353)
(1)请求出
和
关于
的函数解析式,并说明
的取值范围;
(2)在图2中画出
关于
的函数图象,并写出一条这一函数的性质:________;
(3)若
,请结合图象直接写出满足条件的
所有整数的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dceb5cc71fc50f20649f6b9535fd914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ebb33adb2310a6e03918761e68204a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2ea13010e2399194be2a681310543e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a37ba261860ddad9d11b2e8348a8f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/21/3d689522-b1e8-4577-87c2-4081d3f1aa7e.png?resizew=353)
(1)请求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)在图2中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748c10b331db5727a65a4688acbbc655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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5 . 若直线
与直线于
相交于第三象限内一点,求m得取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18ee0a9e35aea04b71785b249cc4b24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce37928403e28dea457850542edd414.png)
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6 . 已知一次函数
的图象经过点
,且与
轴交于点
.
(1)求函数表达式;
(2)若一次函数
的图象与一次函数
图象交于点
,求
,
的值;
(3)当
时,对于
的每一个值,函数
的值大于
的值,则
的取值范围为______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d501afbd7542f2f724b658edf39af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca979687ffb2214e747525635a6912c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93842cf36b1107534c3904d18ba3ae5c.png)
(1)求函数表达式;
(2)若一次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e7f744b95b9c9cd5419566586d49c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d501afbd7542f2f724b658edf39af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d8a580fc716e3b9cc8d807f47b316a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d5bc36f847427dc2a6a86b307f170b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d501afbd7542f2f724b658edf39af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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7 . 观察图象,回答下列问题:
的解集为______;
(2)像(1)这样,借助图象得到不等式解集所用到的数学思想方法是( )
A.分类讨论 B.整体思想 C.数形结合 D.极限思想
(3)当
取任意一个不为0的实数时,方程组
一定有解吗?如果一定,求出该解;如果不一定,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1560e9153ce28429dab17546deb9e6cc.png)
(2)像(1)这样,借助图象得到不等式解集所用到的数学思想方法是( )
A.分类讨论 B.整体思想 C.数形结合 D.极限思想
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/373b8183ff8bbc449e667564a5fcb48b.png)
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8 . 若函数
和函数
的图象如图所示,其交点为
,则关于x的不等式
的解集是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1447dbe580ac5c825776995118e75acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae652daf6059ff386f99bef2210518c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b72f2e050b644e7a730a03c265c40d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3384b8772106450a322f47bbe0fdfd4d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/5c52f175-2cb3-482b-b064-f86dc76a783c.png?resizew=190)
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9 . 根据图象,可得关于x的不等式
的解集是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf08f4453e9705366b5b1b17779fe63.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
10 . 已知一次函数
(k、b是常数,
)的图象过
,
.
(1)求
函数的表达式.
(2)若函数
(m,n是常数,
)的图象过
,当
时,x的取值范围为______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed06ccefffc165f9c77250cd28301d8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c80c26a794a844127aae7dee87c93b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c80eabaf101288433b3b9e92a4805a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c850811ba59a05e945a665196539a048.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebe47e01d46d427917ef49b8b4547790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c850811ba59a05e945a665196539a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
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