1 . 在平面直角坐标系
中,一次函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
的图象由函数
的图象平移得到,且经过点
.
(1)求该一次函数的解析式;
(2)当
时,对于
的每一个值,函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95fb8b61d7fa8ecd5ea45762c7400e6c.png)
的值大于一次函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
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/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab957dad7f8446f0df832710f0f176a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9311b13eb2baab6641da9e7b48e13e24.png)
(1)求该一次函数的解析式;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4fe5b09807c4a5b3ab920c8c512e85e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95fb8b61d7fa8ecd5ea45762c7400e6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442a661fa62566fc1632644a10c43f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab957dad7f8446f0df832710f0f176a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
2 . 如图,在
中,
,动点
从点
出发,沿折线
方向运动到点
停止,设点
运动路程为
,
的面积为
.
关于
的函数关系式并注明自变量
的取值范围;
(2)在给定的平面直角坐标系中画出这个函数的图象,并写出该函数的一条性质;
(3)请根据图象,直接写出当
时
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9522bf1d163e9e405a6a50f8b02e9fe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d0984bb4715e5e6100153012ddc5c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.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/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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)在给定的平面直角坐标系中画出这个函数的图象,并写出该函数的一条性质;
(3)请根据图象,直接写出当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e537bf8ed8b09b7c6a3aea5ac9ed6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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3 . 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)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/2d585d2d6643471640905d234d9538c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc8350b12974ffc8d06fce36d158f02.png)
(1)求这个一次函数的解析式;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e66e8f13170da6a580c7bf76cc966d5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88608790d85e880a6a84a5e4f926b82e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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4 . 如图,在平面直角坐标系
中,直线
与反比例函数
的图象交于
、B两点,与x轴交于点
,与y轴交于点D.
(2)求
的面积;
(3)根据图象,直接写出反比例函数值小于一次函数值时x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8986bfb4209a5d006003f2ef31edd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/141a978953fab3405756857de38243e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d03310fa9440053c57d878acc06d02d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
(3)根据图象,直接写出反比例函数值小于一次函数值时x的取值范围.
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2024-06-04更新
|
89次组卷
|
2卷引用:安徽省合肥市庐江县柯坦初级中学2023-2024学年九年级下学期月考数学试题
5 . 如图,直线
经过点
,
.
的表达式;
(2)若直线
的解析式为:
,直接写出不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c143e0781facdd4e4b6db9854e0ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee80939187a84e1863eeb192a301c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e729a860cfd19d075a037b497bbfa04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87f8af9ce5d927e6f422de42ead6ffb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292d1824ad5a5e1351a5eebd9debafd0.png)
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6 . 如图,已知一次函数
的图象与一次函数
的图象交于点
.
(2)根据图象,直接写出不等式
的解集;
(3)结合图象,当x取何值时,
与
都大于0?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2deb252e5030fe36b7b8683442be11a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812eed46a589bde8b7c78a81a8cf9b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bb51e77ce13329721f3f8ab1ad3add7.png)
(2)根据图象,直接写出不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558d4dd928397d8df6a594a8c2671d6.png)
(3)结合图象,当x取何值时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812eed46a589bde8b7c78a81a8cf9b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2deb252e5030fe36b7b8683442be11a.png)
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7 . 如图,直线
:
与直线
:
交于点
,两条直线分别交y轴于点B,C,其中点B在原点上方,点C在原点下方,且
.
的解集.
(2)若
的面积为5,求点C的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c1972246a0a3d1c987d25205dbdd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d1e4a02f6a99a4b838dcaf9541d7f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04725e51b4870658f74de79403e3898f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/078d14a01976b7372f8c3aba10f68888.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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8 . 如图,直线
与x轴交于点A,与y轴交于点B,与直线
交于点
,点
的横坐标为
.
时,
的取值范围.
(2)求
的值.
(3)若点
在直线
上,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd9c0f05c72efb86862facc7d257935f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4251d568c9d5a78ca137bf11b8679ed9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421a7d6f54bf58a7a4f4ce61e06aefa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff176ad76c0f4f2a3e1e6a97b30403c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a9a6eeeebf3cff569578d7366b755aa.png)
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9 . 在平面直角坐标系
中,一次函数
的图象经过点
,
.
(1)求该一次函数的解析式;
(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/ac7987cebf0a05aecb37e09b6d4f6ce1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866fab6d7f8a8bc35416f15b0bcf2b5d.png)
(1)求该一次函数的解析式;
(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/3d7a17bcf23e4bfa2c2cb18eff7b4bc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/decdca90180279893ae6dcab5248ed62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d501afbd7542f2f724b658edf39af4.png)
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10 . 如图,直线
经过点
,与x轴交于点C,与直线
交于点
.
的解析式;
(2)当
时,直接写出x的取值范围;
(3)点D是直线
上一点,若
,求点D的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ececd20089801c2228b63367418703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee33736169c249a029f478a605dc2c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4407788e4dc88210bca71a2551d4f2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d49c77f27b6b40e1a8d5a1d16cfdf98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1d3ffd1f5ef505350902a7f80e0092e.png)
(3)点D是直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f60cca69819ba808b29f4f9163275067.png)
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