名校
1 . 已知一次函数
和
(a为常数)的图象如图所示,则关于x的不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b1e62f7fb28cd76c05dcc38fbb25577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8000ce7ea785e7cd81e58a6944270b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538b416c5aab4fcaf7a25f76fb341e19.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 如图,在平面直角坐标系中,直线
与x轴,y轴分别交于点B,A,且与直线
相交于点
.
(2)求
面积.
(3)直接写出不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7afafadb398ecee0bb0ea9cc90defbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f000cbc543005e2f88f45b5aef5c255.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce914b158f015b0493ce349daea7b0cf.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcc52a06d806fde891e09a0a389fcd4.png)
(3)直接写出不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12abf9460a1841a69bf329a44ec79d15.png)
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3 . 如图,直线
与直线
交于点
,且直线
经过点
.
的函数表达式;
(2)写出方程组
的解为______;
(3)当
时,写出自变量x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2db452e9f9885c400c1824ca9e39870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7431d25ea64a3ecd4bb39a55ad591de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b081a3d49f59c6a96a8afb7511f91875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab90f08ce38adaa707cc10ee852496d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(2)写出方程组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5a3983b29db83ff169ecffadb34316.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d87c750604573bf7590227cd16b9d76.png)
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4 . 深圳百合外国语学校八年级某数学学习小组在研究一元一次不等式、一元一次方程和一次函数的关系课题时,对函数
的图象和性质做了探究.下面是该学习小组的探究过程,请补充完整:
(1)列表:表格是y与x的几组对应值,请将表格补充完整:
表格中a的值为 ,b的值为 .
(2)如图,在平面直角坐标系中描点并画出此函数的图象:
①不等式
的解集为 ;
②若
,
为该函数图象上不同的两点,则m= ;
③定义
,例如
,
,则函数
的最大值为 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab488cc8b000114f9a9496283f51703.png)
(1)列表:表格是y与x的几组对应值,请将表格补充完整:
x | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 | … |
y | a | -1 | 0 | 1 | 2 | b | 2 | 1 | 0 | … |
(2)如图,在平面直角坐标系中描点并画出此函数的图象:
①不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d7f5aa3c00cef736a149d78c40ce2c.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94627168b12a401dfa07c83da96a16f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d2540cae341cbecdf839bfe7084912.png)
③定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639db4817d64f3d22e77ce1ecc1d84af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea8ad377fdc7bad9d736d0dfea8bfa76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5bef81836487ebbc3b6830f9c6fb2de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246d67d24c8291a4bcb98154184dcc54.png)
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5 . 如图,在平面直角坐标系中,点
在直线
上,直线l经过点A,交y轴于点
.
(2)若点
在直线l上,点
在直线
上.若
,求t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32734b5c3df298de54600ee3e95a84d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f590ca2bde213675bffe68ed4017f957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076271898437c71f15453bc809eaccdc.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7392580ad24abf9d9879bc8599f6baa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02b35de7aa7de48cfc72aec1749c66f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f590ca2bde213675bffe68ed4017f957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25e564ecc5c2b36c61d0a591bc8268b6.png)
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名校
6 . 在平面直角坐标系
中,一次函数
和
的图象如图所示,则关于x的一元一次不等式
的解集是 _________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c1972246a0a3d1c987d25205dbdd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20edee530061a09ab4709a280d25457a.png)
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名校
7 . 如图,在平面直角坐标系中,一次函数
的图象与反比例函数
的图象交于
两点.
(2)直接写出关于
的不等式
的解集______;
(3)连接
、
,则
的面积为______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31c4f39399ec245a67db2933ed639f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d49d34012ddf68fb981eb4975ac99b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/610ffd24a505f2a2d5bb2b1b2d873053.png)
(2)直接写出关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c48cd123a0c51d2ae22c641f7cff3a2c.png)
(3)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
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8 . 如图所示,在同一个坐标系中一次函数
和
的图象,分别与
轴交于点
,两直线交于点
,已知点
坐标为
,点B坐标为
,观察图象并回答下列问题:
的方程
的解是______;关于
的不等式
的解集是______;
(2)直接写出关于
的不等式组
解集是______;
(3)若点
坐标为
,关于
的不等式
的解集是______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b3c8be9aee074c9a3203abace248ad.png)
![](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/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b3c94d505e7c5bcce94afec4af3d92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0573e2af8a0dc8c6a1c0af067a324f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350b01b1af653cfb920f433425b8d5d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed512a9453132a67d052436dcf510f4.png)
(2)直接写出关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb32b1250f4f194810353929485091b7.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/289ada46dd6a8dd75aba834709f09def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c2556f38d4a395b123c5b4283b957ab.png)
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9 . 如图,正比例函数
(
为常数,且
)和一次函数
(
、
为常数,且
)的图象交于点
,根据图象可得关于
的不等式
的解集是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c80c26a794a844127aae7dee87c93b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](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/da0a6a2dec51024288a4ff22bbe6e860.png)
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10 . 已知:如图,一次函数
与
的图象相交于点A.
(2)若一次函数
与
的图象与x轴分别相交于点B、C,求
的面积.
(3)结合图象,直接写出
时x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b76a12fb1745e618d82066a4d8b277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df51599f228d7577314267b60b3b5e15.png)
(2)若一次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b76a12fb1745e618d82066a4d8b277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df51599f228d7577314267b60b3b5e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)结合图象,直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
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