2024八年级下·北京·专题练习
1 . 在平面直角坐标系
中,一次函数
的图象由函数
的图象平移得到,且经过点
.
(1)求这个一次函数的解析式;
(2)已知一次函数
.
①无论m取何值,直线
都经过点 ;
②当
时,对于x的每一个值,函数
的值都大于一次函数
的值,结合函数图象,直接写出m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d501afbd7542f2f724b658edf39af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f98cc91604915e15978a2714a22c4279.png)
(1)求这个一次函数的解析式;
(2)已知一次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15f51649de3cb03a360f96f7e69a0d9d.png)
①无论m取何值,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15f51649de3cb03a360f96f7e69a0d9d.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200849ce71f53c0321506e27de437b8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7494d674f345b6b7359ae844b470bfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
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2024八年级下·天津·专题练习
2 . 如图,直线
与直线
相交于点
,则关于x的不等式
的解集是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384b62a201511d16f6686eab2a2a94db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29000b13bf587a50e16a0a4ac9cd38f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/966aa9c81896aad4c3fb426dba7f916e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e330ca7b61ccf40ad4e25fef57971df8.png)
A. ![]() | B. ![]() | C. ![]() | D. ![]() |
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3 . 在初中阶段的函数学习中,我们经历了列表、描点、连线画函数图象,并结合函数图象研究函数性质及其应用的过程.下面,我们对函数
展开探索,请补充完整以下探索过程:
(1)列表:
直接写出
的值,
______,
______.
(2)在给出的平面直角坐标系中,利用表格中的数据描点、连线画出该函数图象.
的图象如图所示,结合你所画的函数图象,则不等式
的解集为______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d436332be081045f658069cb313824f9.png)
(1)列表:
![]() | ![]() | ![]() | ![]() | 0 | 2 | 4 | 6 | 8 | ![]() |
![]() | ![]() | 5 | 2 | ![]() | ![]() | ![]() | ![]() | 5 | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
(2)在给出的平面直角坐标系中,利用表格中的数据描点、连线画出该函数图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85bdbaee1c6d92b27ceac6e066cfce36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c24ef8084b243ce1d9743e7f366c283.png)
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4 . 数形结合是我们解决数学问题常用的思想方法.如图,一次函数
与
(m,n为常数,
)的图象相交于点
,则不等式
的解集在数轴上表示正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bb89aec41e32d27b5f0914c494dead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c1972246a0a3d1c987d25205dbdd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0baedc4d7e690ab3f7d80d30ba0a9efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ece59cafa7788a1d1d856c873a180af9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3cc05273ac5fbe723ed208173f87039.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 如图,在平面直角坐标系
中,直线
:
经过光点
和点
.
(1)则
的面积为________ ;
(2)当
时,对于
的每一个值,函数
的值小于一次函数
的值,请写出满足条件的整数
的个数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26aa37e0e6750a03269cd8b4c3d4bc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb428dcd501ba430daa1355e29ca13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82de9bdf0bc8b728637cd432fa64c01e.png)
(1)则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f02028a3847c4807c2d3cf0ea7efb8.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8da02228735b75196f7e914c9064d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f48d4d77bb09959deb7d604e14571657.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26aa37e0e6750a03269cd8b4c3d4bc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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66次组卷
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2卷引用:2024年河北省石家庄市第二十八中学中考模拟数学试题
6 . 在同一平面直角坐标系中,一次函数
与
的图象如图所示,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fd22137ad33bd9fcd4b08823aa16073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e03b7ca4c834cc633275d1e999dc3861.png)
A.![]() |
B.![]() |
C.当![]() ![]() |
D.关于x,y的方程组![]() ![]() |
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7 . 已知一次函数
的图象过原点,且与一次函数
的图象交于点
,则满足
的x的取值范围为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea8578000985b74cbcaa3de6e14cb26b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b927dfb4506976cbf2ab941442be8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38b559f160470e4ae99634b95e2537c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c9065bf4dcad00ac01b21131d3b326e.png)
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名校
8 . 已知函数
,
.
(1)若
,求x的取值范围;
(2)若以x、y为坐标的点
是已知两个一次函数图象的交点,求
的值.
(3)若关于x的不等式组
的解集为
,求
的值.
(4)若
,求A、B的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e36450ef85e4812cf036e2ab3a9ef898.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df51599f228d7577314267b60b3b5e15.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df86b0da538701c08fb214608e062372.png)
(2)若以x、y为坐标的点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47d2c56c70d27da7e8ebadebef67c78.png)
(3)若关于x的不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/922b5fb049be72fa946b422e868a7102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b13d3854ea2671a9ae5be5b69a573e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96d1e01d6809b45ecb2f924817bca075.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffdfd96782fa32d40717762824f0c065.png)
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9 . 已知直线
与x轴、y轴分别交于A、B两点,与反比例函数
交于第一象限内的
,
两点,且
(2)求
的面积.
(3)在第一象限内,当
时,直接写出x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7a43be4e234807e6cdd7f69d14e1ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e6fa2af104e14f6851a4fa1e69c1f08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b6c2225bbda0a734d37c8bdf34b4246.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eaa2be5fad671fbb0ada75a2a895a83.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1f0417d8269f01d8e0bc1a8756e2ac.png)
(3)在第一象限内,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb3f7db4403ad3e698542565bf42d936.png)
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10 . 如图,已知正比例函数
与一次函数
的图象交于点P.下面有四个结论:①
;②
;③当
时,
;④当
时,
.其中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cdbcc26ca3abdb14198d7a29ca4807.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa11197ac4d66c6d85e00b0400171ac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a915c1a8a9304aeb307d130faaeb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcdb7671e6056d842cdc88fb523467f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/475bf0dbbccbde1f68f3cd6b96d71336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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