名校
1 . 如图,在平行四边形
中,
,点
从
出发,沿射线
方向运动,过点
作
交折线
于点
,当点
与点
重合时,点
停止运动.运动过程中,设
,
.
与
的函数表达式以及对应的
的取值范围;
(2)在直角坐标系中画出
的图象,并写出函数
的一条性质;
(3)已知函数
的图象如图所示,当
时,请直接写出自变量
的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924b90dd1e6344a9ef8136ff90954543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be742533a98206940a01156e5cd9ae30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0cc6293cfedec30b124ece908c4c438.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5ad6368dd902909c197eb60c52176e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7346f06c31ae1bb178cb06166fbaca3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)在直角坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0773f08ae66579f50ad08a86f5087c27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b847cf7f97ae15ccdd187ecd4b4936b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2 . 在平面直角坐标系
中,函数
的图象过点
和
,与过点
且平行于x轴的直线交于点
.
的坐标;
(2)当
时,对于
的每一个值,函数
的值小于
的值,直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b325505522a78f31a8f963467dba4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1259cc27564d97e7a153603e1222290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b0a74cd925680c0d68b3668dad98e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d986cca43d8656f2a13f61893bf4815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200849ce71f53c0321506e27de437b8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef2d53e30c866351218517b6ac811a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b325505522a78f31a8f963467dba4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
3 . 在平面直角坐标系
中,函数
的图象经过点
和
.
(1)求该函数的解析式;
(2)当
时,对于
的每一个值,函数
的值小于函数
的值,直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e114459637a3db306e91b5e9ee9aae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b0821a465f1420f632a98b0ad0331d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f958666546017890e0c80e28a1362dfd.png)
(1)求该函数的解析式;
(2)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/f4fbacf44a635fd20bee87f530c9d859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e114459637a3db306e91b5e9ee9aae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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名校
4 . 直线
与直线
的交点P的横坐标为3,则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0e7146fe06e65c870ed065ce874988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5963315c4717d72828eeaee51f46334.png)
A.![]() |
B.点P的纵坐标为![]() |
C.关于x、y的方程组![]() ![]() |
D.当![]() ![]() ![]() |
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5 . 一次函数
和
在同一坐标系中的图像如图所示,则下列结论:
①它们的交点在直线
上;
②
;
③不等式
的解集为
;
④它们与x轴围成的三角形的面积为
.
其中,正确的序号是 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b447ac3d1a965572c31b6e4c18d4b8.png)
①它们的交点在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ecda7bfb0a2043306bf7707a136ad0.png)
③不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/864b95bf0955715478023644b991a44a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
④它们与x轴围成的三角形的面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c7be5aa34a56e119664d02a54e0e876.png)
其中,正确的序号是 .
A.②③ | B.①④ | C.①②③ | D.①②④ |
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6 . 一次函数
和
的图象如图所示,三位同学根据图象得到了下面的结论:
甲:关于x,y的二元一次方程组
的解是
;
乙:关于x的一元一次方程
的解是
;
丙:关于x的一元一次方程
的解是
.
丁:关于x的一元一次不等式
的解集是
;
四人中,判断正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c1972246a0a3d1c987d25205dbdd99.png)
甲:关于x,y的二元一次方程组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8ed42c79c317828df360f4c2ff40ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cd5c4d627e77f93a839778ec5d27978.png)
乙:关于x的一元一次方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9867959b50c90b5dd8619b9062b2e1b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
丙:关于x的一元一次方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5c5262da479816fd7f246d3637856b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf2917e77945b30da7be9b48b0b317a.png)
丁:关于x的一元一次不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3f1753f03582e00709fc4d9cbbbefb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea78382a8ec4bc981cdeb89b6dcdfd7.png)
四人中,判断正确的是( )
A.甲,丙 | B.甲,丙,丁 | C.乙,丙 | D.乙,丙,丁 |
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7 . 在平面直角坐标系
中,函数
的图象由函数
的图象平移得到,且经过点
.
(1)求该函数的解析式;
(2)当
时,对于
的每一个值,函数
的值大于函数
的值,直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d48b88cfd8c880b41eeeb176ca3f93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
(1)求该函数的解析式;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200849ce71f53c0321506e27de437b8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54479885d4ab2f717d2e97718da04b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d48b88cfd8c880b41eeeb176ca3f93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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8 . 已知,如图,一次函数
的图象经过
,
.
(2)结合图象,请直接写出关于
的不等式
的解集;
(3)若当
时,一次函数
的函数值
恰好满足
,请直接写出
的关系式中
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce04671883c98ca04ad8ef70709053a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/918cc3fd7121361e9535df9242b14d4b.png)
(2)结合图象,请直接写出关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e28182f72b48b604533e2b846478fa.png)
(3)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2da45e190edb2230c9b6495647954d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c1972246a0a3d1c987d25205dbdd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fa2939c8522b09bad3607c086047919.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c1972246a0a3d1c987d25205dbdd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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9 . 在平面直角坐标系
中,函数
的图象经过点
和
,与过点
且平行于y轴的直线交于点C.
(1)求该函数的表达式及点C的坐标;
(2)当
时,对于x的每一个值,函数
的值大于函数
的值且小于3,直接写出n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/c17ff5e0a917684d41cd41e0ae303308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3544997cc034ed882c0d0a3bdbf5f957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
(1)求该函数的表达式及点C的坐标;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200849ce71f53c0321506e27de437b8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4fbacf44a635fd20bee87f530c9d859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d501afbd7542f2f724b658edf39af4.png)
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名校
10 . 一次函数
与
的图象如图,则下列结论①
;②
;③当
时,
;④方程
的解是
.
其中正确的是_____________ (把序号填写在横线上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed06ccefffc165f9c77250cd28301d8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ab5ea5fce0a0632eef687145713c55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a4eaa80b44625890339d6a0065c241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b83a660527359758db64e6566466293.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fd1bbddaf942fbdb1249835f44b938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe3a78950f6a4bb479c7ec0d8e57b5b.png)
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