解题方法
1 . 如图所示,将一矩形花坛
扩建成一个更大的矩形花坛
,要求
在
的延长线上,
在
的延长线上,且对角线
过
点.已知
米,
米,设
米,花坛
的面积为
平方米
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/4/3767fca4-8ea7-40d9-a73e-a2c41dccfd04.png?resizew=167)
(1)求
关于
的函数解析式和定义域;
(2)要使花坛
的面积大于32平方米,求
的取值范围;
(3)当
的长度分别是多少时,花坛
的面积最小,并求出最小面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e6f84f2a5721303019f158d860cd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7ea6f8961197129f7660d65dd487f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e6f84f2a5721303019f158d860cd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/4/3767fca4-8ea7-40d9-a73e-a2c41dccfd04.png?resizew=167)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)要使花坛
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e6f84f2a5721303019f158d860cd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/564cc2c470001e7cd6fa28731a3875d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e6f84f2a5721303019f158d860cd5b.png)
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2 . ![](https://img.xkw.com/dksih/QBM/2015/7/8/1572172167487488/1572172173434880/STEM/0ae4946be16245af8485042d0e84db61.png)
(1)![](https://img.xkw.com/dksih/QBM/2015/7/8/1572172167487488/1572172173434880/STEM/a43c3b84d2d04302bc813cd2c417a1f4.png)
(2)
,求
的取值范围.
(3)
条件.
![](https://img.xkw.com/dksih/QBM/2015/7/8/1572172167487488/1572172173434880/STEM/0ae4946be16245af8485042d0e84db61.png)
(1)
![](https://img.xkw.com/dksih/QBM/2015/7/8/1572172167487488/1572172173434880/STEM/a43c3b84d2d04302bc813cd2c417a1f4.png)
(2)
![](https://img.xkw.com/dksih/QBM/2015/7/8/1572172167487488/1572172173434880/STEM/7196a86937a3407fabc2d871fac25485.png)
![](https://img.xkw.com/dksih/QBM/2015/7/8/1572172167487488/1572172173434880/STEM/40327f87a9c349c4879078c257cc56aa.png)
(3)
![](https://img.xkw.com/dksih/QBM/2015/7/8/1572172167487488/1572172173434880/STEM/563d74001d214805b5ba0ca100b0dd4a.png)
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解题方法
3 . 方程
没有实根,则
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0721f6068d28f8bd414842b3f2d4df31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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12-13高一下·江苏淮安·期末
名校
4 . (1)已知函数y=ln(-x2+x-a)的定义域为(-2,3),求实数a的取值范围;
(2)已知函数y=ln(-x2+x-a)在(-2,3)上有意义,求实数a的取值范围.
(2)已知函数y=ln(-x2+x-a)在(-2,3)上有意义,求实数a的取值范围.
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2010·河南许昌·一模
5 . 在
中,三内角
所对边的长分别为
,已知
,不等式
的解集为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e29b822cda1ba926e96368094fa1a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1562dfc6c3b63dd53cdbe5eec6437cfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef49d00ff0a755df147ae958e8aa8bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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