名校
解题方法
1 . 如图,已知点
的坐标为
,直线
与
轴、
轴分别交于点
和点
,连接
,顶点为
的抛物线
过
三点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/20/c87a669b-1e75-4e12-8fa4-ba10b6040db4.png?resizew=150)
(1)请直接写出
两点的坐标,抛物线的解析式及顶点
的坐标;
(2)设抛物线的对称轴交线段
于点
是第一象限内抛物线上一点,过点
作
轴的垂线,交线段
于点
,若四边形
为平行四边形,求点
的坐标;
(3)
是第一象限内抛物线上一点,连接
,构成
,当
的面积达到最大值时,求出点
的坐标及面积的最大值.
(4)在第(3)题的条件下,点
是过点
垂直于
轴的直线上一动点,点
是抛物线对称轴上一动点,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd243fab0af865af67a2ab817e909cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b098e17fa76c648424e9cadf558cc8.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e30c0a5c92f50dce1f7624709950ff5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/20/c87a669b-1e75-4e12-8fa4-ba10b6040db4.png?resizew=150)
(1)请直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e453b6640e3dc4c7b7b2a996a2199ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)设抛物线的对称轴交线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/666e81326945f168fc30291f1bb2fc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f022cfa8aed106d5286e15722f342d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77af6561921afe6bf7bd8eb5d2ddec61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe51b50eca45db5d8ca5f4949c56d137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe51b50eca45db5d8ca5f4949c56d137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(4)在第(3)题的条件下,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfdd6bd37b2f20a2f07a56a175eb4396.png)
您最近一年使用:0次
2023-05-19更新
|
247次组卷
|
2卷引用:安徽省芜湖市第一中学2020-2021学年高一自主招生考试数学试题
2 . 设实数
满足
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e647c14561826ba9e396acc5a3792c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e03d341dd09359305c9b61e89206c04e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf877c2f179cf4e47657882ee8fa14d3.png)
A.0 | B.2 | C.![]() | D.![]() |
您最近一年使用:0次
2021-08-26更新
|
1556次组卷
|
3卷引用:武汉大学2020年强基计划数学试题