1 . 求满足下列条件的函数解析式.
(1)已知一次函数的图像如图所示,求该函数的解析式;
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/2f10d649-dccf-4129-9337-a4e1dc5efe33.png?resizew=166)
(2)在同一直角坐标系中,正比例函数和反比例函数的图像相交于点
,求这两个函数的解析式;
(3)若二次函数图像的顶点为
,且该函数经过点
,求该二次函数的解析式.
(1)已知一次函数的图像如图所示,求该函数的解析式;
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/2f10d649-dccf-4129-9337-a4e1dc5efe33.png?resizew=166)
(2)在同一直角坐标系中,正比例函数和反比例函数的图像相交于点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80991c1f0c963104740e50cfff6f29a8.png)
(3)若二次函数图像的顶点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b02102fb7cdf423abb58fc1f0b43f12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fec40ff4479edca2ed18b6cadb8db72f.png)
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2 . 已知正三角形的边长为
,该三角形的面积为______ ,其外接圆和内切圆的面积分别为______ ,______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
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3 . .已知一元二次方程
的解集为
.
(1)求实数
的取值范围;
(2)若
,求
和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234110c56fb92f8e2a537e0886586ab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/273e2627c7b43cb387165e64ef07ffc9.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b624d88827e92e12bc0a8f1067cbe72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef91f793c0c6e009ae75c9daf2e4e427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
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4 . 解下列方程(组)
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dcbf94b35b62f5b294e850530bf1917.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a439dda6d8d02ca7b8c1a0cc350e0afe.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7051dd32b9ef54c3167dcfc91540b0.png)
(4)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dcbf94b35b62f5b294e850530bf1917.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a439dda6d8d02ca7b8c1a0cc350e0afe.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7051dd32b9ef54c3167dcfc91540b0.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4cec6ec07cfcd43f59e8b3ffec41b40.png)
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