如图,一次函数
的图象与反比例函数
的图象相交于点
,
两点.
(1)分别求出一次函数和反比例函数的解析式;
(2)根据图象,直接写出满足
的
的取值范围;
(3)连接
并延长交双曲线于点
,连接
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c143e0781facdd4e4b6db9854e0ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb79a1b0c6dc78e6de17de6bed477fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ad21e17df767c2c4ab67073143091e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eebdb986b998979f6ed765ade2be69e7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/3/e7739acb-b323-446d-b443-12f05705a98a.png?resizew=181)
(1)分别求出一次函数和反比例函数的解析式;
(2)根据图象,直接写出满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b18c20c66ddb42c2cfd949cbe61b5117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf1438142deeac876fc7dc50552e552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
更新时间:2023-05-15 15:35:07
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【推荐1】已知,在以为原点的直角坐标系中,抛物线的顶点为
,且经过点
,与
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(1)求该抛物线的函数表达式;
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(3)如图(2),过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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【推荐2】如图,一直线
与已知直线
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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【推荐1】如图,在平面直角坐标系中,一次函数y=ax+b(a≠0)的图象分别交x轴,y轴于A,B两点,与反比例函数y=
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abb3a62e46296c417261156b51ec6b4.png)
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【推荐2】已知蓄电池的电压为定值,使用该蓄电池时,电流I(单位:A)与电阻R(单位:
)是反比例函数关系,它的图象如图所示.
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(1)请求出这个反比例函数的解析式;
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/a7a65eab-4b0f-4bc1-81d5-7053bc3ec803.png?resizew=175)
(1)请求出这个反比例函数的解析式;
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【推荐3】如图,反比例函数y=
(x>0)过点A(3,4),直线AC与x轴交于点C(6,0),过点C作x轴的垂线BC交反比例函数图象于点B.
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abb3a62e46296c417261156b51ec6b4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/26/e9455794-7a43-4ed9-9638-87df227d56f7.png?resizew=211)
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【推荐1】如图,
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![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/18/3786aec0-a34d-4e2e-a66c-15e0b8bde0a4.png?resizew=161)
(1)求反比例函数的解析式;
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/18/3786aec0-a34d-4e2e-a66c-15e0b8bde0a4.png?resizew=161)
(1)求反比例函数的解析式;
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb9716503a04a25bfb96b7e54af8ce22.png)
(3)若反比例函数图象上的点
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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【推荐2】如图,
中,
,
,
,
,反比例函数
的图象与
交于点
,与
交于点E.
(2)点P为反比例函数
图象上一动点(点P在D,E之间运动,不与D,E重合),过点P作
,交y轴于点M,过点P作
轴,交
于点N,连接
,求
面积的最大值,并求出此时点P的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e4a099728b6d52432318c29c964ed9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)点P为反比例函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30afe6b1f06761d437dfc1569e2d04be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/030c0eb60f94a13c023e4c916c74b4e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e244254b22eda67ee656ab2a2ca161b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
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