如图,一次函数
的图象与反比例函数
的图象交于点
两点.
![](https://img.xkw.com/dksih/QBM/2021/7/7/2758999760216064/2789760875094016/STEM/755683f4-f888-438c-9198-860f590a81eb.png)
(1)求一次函数和反比例函数的解析式;
(2)求∆
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05621b18b7ffc991d9f30380e2e08fea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc0b62530273a4fc01e64938707ea822.png)
![](https://img.xkw.com/dksih/QBM/2021/7/7/2758999760216064/2789760875094016/STEM/755683f4-f888-438c-9198-860f590a81eb.png)
(1)求一次函数和反比例函数的解析式;
(2)求∆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
更新时间:2021-08-19 22:05:56
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【推荐1】如图,在平面直角坐标系中,
的顶点
,
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,
,
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
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【推荐2】如图,反比例函数
过点
,连接
并延长交反比例函数图象于点B,C为反比例函数图象上一点,横坐标为-4,一次函数
经过B,C两点,与x轴交于点D,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/21/5fdfe292-d389-4a31-b673-fc61ef106780.png?resizew=260)
(1)求反比例函数
和一次函数
的解析式;
(2)求四边形
的面积;
(3)当
时,直接写出自变量x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a249a4460b4edd504ae4dfecccd032bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4bfa09ce98290508eda68643ee311b.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/21/5fdfe292-d389-4a31-b673-fc61ef106780.png?resizew=260)
(1)求反比例函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
(2)求四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4b3773da38cc94fdc6951f6e5c20ddd.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421a7d6f54bf58a7a4f4ce61e06aefa9.png)
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【推荐1】如图,在平面直角坐标系
中,一次函数
(
,
为常数,且
)与反比例函数
(
为常数,且
)的图象交于点
,
.
(2)当
时,直接写出自变量
的取值范围;
(3)已知一次函数
的图象与
轴交于点
,点
在
轴上,若
的面积为8,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c143e0781facdd4e4b6db9854e0ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babbfe43e55ad013d896cadd95531aa9.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87ac6067983023a705614d7ad214c8bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)已知一次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c143e0781facdd4e4b6db9854e0ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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解答题-作图题
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【推荐2】如图,一次函数
的图像与反比例函数
的图像交于
,
两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/9/8ecbf781-bc27-488d-9d95-8083542e3129.png?resizew=183)
(1)求这两个函数的解析式;
(2)点
为y轴上一个动点.请你利用尺规作图,过图中所标的C点作垂直于y轴的直线,分别交反比例函数及一次函数的图像于D,E两点.当点E位于点D右方时,请直接写出m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0c0a2c64eede381b69dbd19f448a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90c60b69e0c148d1e7ee1a13458e3b7b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/9/8ecbf781-bc27-488d-9d95-8083542e3129.png?resizew=183)
(1)求这两个函数的解析式;
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f94013b90c90fc7172450111909ae499.png)
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【推荐1】如图,直线
与
轴,
轴分别相交于
,
两点,与双曲线
相交于点
,
轴于点
,且
,点
的坐标为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/17/46e188d6-e3dd-489e-a2c6-f57096cebecf.png?resizew=174)
(1)求一次函数和双曲线的解析式;
(2)若点
为双曲线上点
右侧的一点,且
轴于
,当
时,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eebeb0c65327c1472d14023a5027778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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(1)求一次函数和双曲线的解析式;
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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解答题-作图题
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适中
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【推荐2】正方形网格中的每个小正方形的边长都是
,每个小格的顶点叫做格点,如图所示建立平面直角坐标系,直线
经过格点
、
,与函数
的图像交于格点
.
(1)求直线
对应的函数关系式和
的值.
(2)在图中画出函数
的图像.
(3)当一次函数的值大于函数
的值时,根据图像,直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/289fc9aad8746b2bb97eb228f7b8cd7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f13d4054454ae4cbc546d31ae7b2bc1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/25/b3cc2269-6b9b-4315-bb42-ec375f37b363.png?resizew=208)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)在图中画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/289fc9aad8746b2bb97eb228f7b8cd7d.png)
(3)当一次函数的值大于函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/289fc9aad8746b2bb97eb228f7b8cd7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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