在平面直角坐标系
中,一次函数
(
)的图象由函数
的图象向下平移4个单位长度得到,且与
轴交于点A.
(1)求该一次函数的解析式及点A的坐标;
(2)当
时,对于
的每一个值,函数
的值小于一次函数
(
)的值且大于
,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/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c80c26a794a844127aae7dee87c93b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求该一次函数的解析式及点A的坐标;
(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/cd5848d7371b15965ab8990329fe04bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c80c26a794a844127aae7dee87c93b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
更新时间:2024-05-25 08:51:59
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解答题-问答题
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适中
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【推荐1】如图,一次函数y=kx+b的图象与反比例函数y=
的图象相交于A(4,1),B(n,﹣4)两点,与y轴交于点C.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/18/e4fd9bea-cc6b-487f-84e2-58ce2078436a.png?resizew=176)
(1)求一次函数和反比例函数的表达式;
(2)将直线y=kx+b向上平移,平移后的直线与反比例函数y=
在第一象限的图象交于点P,连接PA,PC,若△PAC的面积为12,求点P的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f7626c207a4dc82d4d59cb520c91e49.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/18/e4fd9bea-cc6b-487f-84e2-58ce2078436a.png?resizew=176)
(1)求一次函数和反比例函数的表达式;
(2)将直线y=kx+b向上平移,平移后的直线与反比例函数y=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f7626c207a4dc82d4d59cb520c91e49.png)
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(0.65)
【推荐2】在平面直角坐标系
中,一次函数
的图象与函数
的图象平行,且经过点
.
(1)求这个一次函数的解析式;
(2)当
时,对于
的每一个值,函数
的值大于一次函数
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/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d295a4cc3a58f9f38ee98337313c81.png)
(1)求这个一次函数的解析式;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b83a660527359758db64e6566466293.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1082caf853f8326dda20b5653dce924e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e114459637a3db306e91b5e9ee9aae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解答题-问答题
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适中
(0.65)
【推荐1】如图,直线l1:y=x+1与直线l2:y=mx+n交于点P(1,a),直线l2与x轴交于点A(4,0).
(1)求a的值;
(2)判断直线l3:y=nx+m是否也经过点P?请说明理由;
(3)若直线l4:y=2x+b与线段PA有交点,请直接写出b的取值范围.
(1)求a的值;
(2)判断直线l3:y=nx+m是否也经过点P?请说明理由;
(3)若直线l4:y=2x+b与线段PA有交点,请直接写出b的取值范围.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/3f6e2883-6e64-4952-9d67-c5bd1ca37c23.png?resizew=177)
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适中
(0.65)
【推荐2】如图,在平面直角坐标系
中,直线
分别交
轴、
轴于
、
两点,点
是线段
的中点.
(1)点
的坐标为______,点
的坐标为______;
(2)点
是
轴上的一点,且满足
,写出点
的坐标______;
(3)连接
,求直线
的解析式
,并直接 写出
的函数值小于
的函数值时,自变量
的取值范围;
(4)若点
是
的内部(不包含边界)的一点,请直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09bff89f18423518112a780650dcbf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/18/7e26df85-c827-44dd-af8d-b943aaebb954.png?resizew=397)
(1)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f59acf95ce80f97660d6b4569f4ef602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(3)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](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)
(4)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d7ae927a0b7a41413ca63b6d36773a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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