已知等边
,边长为8,点A在y轴上,点B在第一象限,反比例函数
经过
的中点M,与
边相交于点N.
(1)求B点坐标;
(2)求反比例函数的解析式;
(3)连接
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9212e728b36c078188606c9d429389d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/3/9a03e6d9-45a4-4e77-9ee9-a4bb0a1b1ec5.png?resizew=142)
(1)求B点坐标;
(2)求反比例函数的解析式;
(3)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3480da78ca986cafa6efdeea76731b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25dd698d57d1cf239eb8752aecaaa4f4.png)
更新时间:2023-12-10 19:06:41
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【推荐1】如图,正方形
对角线的交点在平面直角坐标系的原点,且边与坐标轴平行或垂直,AB=4.
![](https://img.xkw.com/dksih/QBM/2020/3/22/2424849658535936/2425296679772160/STEM/9e0a2a2a9e5c4ce5b3e0a252c6874bc3.png?resizew=183)
(1)如果反比例函数
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(2)如果反比例函数
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(1)如果反比例函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)如果反比例函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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【推荐2】如图,一次函数
是反比例函数
图象上的两点,点
的坐标为
,点
的坐标为
,线段
的延长线交
轴于点
.
(1)求
的值和该反比例函数的函数关系式.
(2)求
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae6f48b9a53c0155a692509cf31f7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/412de93a9a3a2dfbb727b793453c4196.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5511a368692de27c58ec48ce968de4a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed8610d5a44d294c9c634314f94ec12c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/10/fc459200-db7e-46fd-84ec-61f3231f7b88.png?resizew=199)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbf9680f74a9ac5d934304654ce2771.png)
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【推荐1】如图,已知反比例函数
与一次函数
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的面积为4,且
.求反比例函数与一次函数的解析式;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f7ec8e5653278e155b6a9f4470c1b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b982d14e06f0446bb78452de47ab4e.png)
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【推荐2】如图,在平面直角坐标系xOy中,点B是双曲线
上的一点,连接OB,点D是线段OB上的一点,作矩形ABCD,其中
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![](https://img.xkw.com/dksih/QBM/2022/5/25/2987216679755776/2989278165549056/STEM/8cf6ea36-2e95-4a16-8f0f-88d7c2de5d1f.png?resizew=225)
(1)求k的值;
(2)若OB与x轴的夹角为60°,将矩形ABCD向上平移,当点A落在双曲线
时,求点C的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e454044453c500eb13e4e46c71ebe333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f4c57da0931466032ff40ec449650ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da8d2318fbd0d213112be0138405b212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
![](https://img.xkw.com/dksih/QBM/2022/5/25/2987216679755776/2989278165549056/STEM/8cf6ea36-2e95-4a16-8f0f-88d7c2de5d1f.png?resizew=225)
(1)求k的值;
(2)若OB与x轴的夹角为60°,将矩形ABCD向上平移,当点A落在双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e454044453c500eb13e4e46c71ebe333.png)
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【推荐1】已知,
和
都是等边三角形,且点B,C,D在同一条直线上.求证:BE=AD.
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/12/aa885647-3d37-4f0c-8767-7cf6ca5bb136.png?resizew=234)
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