在平面直角坐标系
中,点
,
,
在抛物线
上.
(1)抛物线的对称轴是直线__________(用含
的式子表示);
(2)当
时,求
的值;
(3)点
在抛物线上.若
,求
的取值范围及
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520f445dad5a6c303bf75555ef44f4af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10e30ca3e0cb628bf93aae606b9168d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3fc1fff7bfd0bf3d7b81db95ee9d6ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0833a86b4060bce98aa1a4db1d162d8.png)
(1)抛物线的对称轴是直线__________(用含
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1292c47f62023b747f1a4bd615c75284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4435a70bea8d6319c5a52f3da0ef7587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83d790248a1aba9266fb9003cf0972d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
2023·北京大兴·一模 查看更多[5]
2023年北京市大兴区中考一模数学试卷(已下线)专题24 二次函数综合压轴题(共55题)-学易金卷:5年(2019-2023)中考1年模拟数学真题分项汇编(北京专用)(已下线)2023年北京一模(函数综合)北京市第二中学朝阳学校2023-2024学年九年级上学期第一次月考数学试题北京市汇文中学垂杨柳分校2023~2024学年九年级上学期月考数学试题
更新时间:2023-05-11 14:57:25
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解答题-作图题
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【推荐1】抛物线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754f9ba9b45bc506c5b8014db9935c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/11/5ddb0b8b-350d-4fd8-9eb5-ed8a6cd3a2dd.png?resizew=337)
(1)用配方法求顶点坐标,对称轴,并画出此函数图象;
(2)x取何值时,y随x的增大而减小?
(3)x取何值时,y=0;x取何值时,y>0;x取何值时,y<0;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754f9ba9b45bc506c5b8014db9935c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/11/5ddb0b8b-350d-4fd8-9eb5-ed8a6cd3a2dd.png?resizew=337)
(1)用配方法求顶点坐标,对称轴,并画出此函数图象;
(2)x取何值时,y随x的增大而减小?
(3)x取何值时,y=0;x取何值时,y>0;x取何值时,y<0;
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【推荐2】已知:二次函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/326ace9c4c4dc105b27b0e3566ed21c3.png)
(1)通过配方将它写成
的形式.
(2)当
时,函数有最 值,是 .
(3)当
时,
随
的增大而增大;)当
时,
随
的增大而减小.
(4)该函数图象由
的图象经过怎样的平移得到?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/326ace9c4c4dc105b27b0e3566ed21c3.png)
(1)通过配方将它写成
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ddc0a29bfef85c1441d02ff117a183.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
(3)当
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
(4)该函数图象由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ee07ef9b44ee997d16671f354c3bd8.png)
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解答题-问答题
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适中
(0.65)
【推荐1】二次函数
的图象与y轴的交点为
.
(1)求a的值.
(2)求二次函数在x轴上截得的线段长的值.
(3)对于任意实数k,规定:当
时,关于x的函数
的最小值记作:
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的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a16e968a3d9511a9756455708ab2ec64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
(1)求a的值.
(2)求二次函数在x轴上截得的线段长的值.
(3)对于任意实数k,规定:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d544d676ba61b4315817833fdf5c01eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f2ae51341194f70c19906e8b4461ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d2d5e9233b6ea55a074dcead0faefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d2d5e9233b6ea55a074dcead0faefe.png)
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【推荐2】抛物线
上部分点的横坐标
,纵坐标
的对应值如下表:
根据上表填空:
①抛物线与
轴的交点坐标是________和________;
②抛物线经过点
,________
;
③在对称轴右侧,
随
增大而________;
试确定抛物线
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](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/ff23745e2f5b3da88d2540b0350bdd83.png)
①抛物线与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
②抛物线经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd220704c4fb700a2808daa85c180cb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
③在对称轴右侧,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
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