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)
更新时间:2023-05-29 10:50:04
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适中
(0.65)
【推荐1】如图,直线
与
轴交于点
,直线
与
轴、
轴分别交于
、
两点,并与直线
相交于点
,点
在点
左边.且
.
(1)求点
的坐标;
(2)求出四边形
的面积;
(3)若
为
轴上一点,且
为等腰三角形,求出点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f9bd7fdb0c44b5e2e1d5a59dd6f7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a18a7caa080988802ba1145b4fe4203.png)
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![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f9bd7fdb0c44b5e2e1d5a59dd6f7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/9/5e0e4dad-8443-4d32-b2e9-cdecb2e06a76.png?resizew=215)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)求出四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8735e2de0ec29640d1eff9e043556030.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb49df05f2e31d005735c3f14a21d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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适中
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【推荐2】已知直线y=kx+b与直线y=2x平行,且经过点A(4,4).
(1)求k和b的值;
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(1)求k和b的值;
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解答题-作图题
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适中
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【推荐1】已知一次函数
的图象与反比例函数
的图象交于点
,
.
(1)求a,b的值和反比例函数的表达式;
(2)点
,
分别在该一次函数和反比例函数图象上.请在坐标系中画出y1和y2的图象,并根据图象直接写出,当
时h的取值范围;
(3)若点C在函数y1的图象上,横坐标为n,点C先向右平移1个单位,再向下移1个单位,得点D,点D恰好落在函数y2的图象上,求n的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecce488434dd72e2190a30f7de7198fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc4622a5f65ffbece28e09206b0cb8d.png)
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(1)求a,b的值和反比例函数的表达式;
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09ad6cf9635e5ac8eae3e4d04ba6d48e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304ec923e453584ae70b98929689ec37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
(3)若点C在函数y1的图象上,横坐标为n,点C先向右平移1个单位,再向下移1个单位,得点D,点D恰好落在函数y2的图象上,求n的值.
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适中
(0.65)
【推荐2】已知反比例函数
的图象与一次函数
的图象交于点
和点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/29/47bae278-2cc7-4e83-8fe1-1f1d2ce26b88.png?resizew=206)
(1)求这两个函数的表达式
(2)观察图象,①直接写出
时自变量
的取值范围;
②直接写出方程
的解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5698fdca52f0b841d952897c6621a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a177a71f478503df316044a9b4f740cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7086e04471893c3b8e7526692286511f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2e8d405145573838999a8695cb8332.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/29/47bae278-2cc7-4e83-8fe1-1f1d2ce26b88.png?resizew=206)
(1)求这两个函数的表达式
(2)观察图象,①直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
②直接写出方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d9870f80ca8cf1268a174bd5d058c0.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
与反比例函数
的图象交于点
,过点A作
轴交
轴于点
,在
轴正半轴上取一点
,使
,连接
.若
的面积是9.
(2)点
为直线
上一点,且
的面积等于
面积的2倍,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707f0fb81c5dcbf009aa64b38d20e1f8.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3322a2ad9a95bdc9fc576a7a158d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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(0.65)
【推荐2】如图,一次函数
的图象与反比例函数
的图象交于点
,B两点.
![](https://img.xkw.com/dksih/QBM/2023/1/9/3148921526190080/3161761663590400/STEM/fd55ce952131441998616092a8e5289d.png?resizew=167)
(1)求反比例函数的解析式和B点坐标;
(2)当
时,直接写出自变量x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73801c38ac23a0776ec3f627c7a85fe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d105b74c40724a7da626e7c42afbf5fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd90f850f37422832d22bd415a97f39.png)
![](https://img.xkw.com/dksih/QBM/2023/1/9/3148921526190080/3161761663590400/STEM/fd55ce952131441998616092a8e5289d.png?resizew=167)
(1)求反比例函数的解析式和B点坐标;
(2)当
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