名校
1 . 如图,抛物线
与
轴交于
,
两点(点
在点
的左侧),且点
为
,与
轴交于点
,直线
经过
,
两点,点
是第一象限内抛物线上的一个动点,连接
,
.
(1)求抛物线的函数表达式;
(2)直线
的解析式记为
,当
时,直接写出
的取值范围;
(3)设点
的横坐标为
,四边形
的面积为
,求
的最大值并求出此时点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442834866daf52da017a459b05d8031b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ed24bfcc37b79fe9ca61ed8fdf26ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc03fafb03395ed84030f03c5d93aa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/21/acaa7f4e-b65a-40af-a1bb-e664bf8e8a7a.png?resizew=143)
(1)求抛物线的函数表达式;
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed06ccefffc165f9c77250cd28301d8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22cccd1f9e838f8065f004ac14377b8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42f7c674f87a67fde99afceb3cfd8189.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
名校
2 . 如图,抛物线
交
轴于A,B两点,交
轴于点
,
是第一象限内抛物线上的一个动点.
(1)求点A,B,C的坐标;
(2)求
面积的最大值;
(3)将
绕点
顺时针旋转
后,点
落在点
的位置,将抛物线沿
轴平移后经过点
,求平移后所得抛物线的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91265eb2261b796fc204757eca5466dd.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/21/436aab0e-1c43-4860-b2ae-95c50584e58d.png?resizew=143)
(1)求点A,B,C的坐标;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147de24f071e316b68fd2e78e3c84545.png)
(3)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbf9680f74a9ac5d934304654ce2771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2023-11-03更新
|
92次组卷
|
2卷引用:云南省昆明市呈贡区第三中学2023-2024学年九年级上学期期中数学试题
名校
3 . 如图所示,在平面直角坐标系中,抛物线经过
,
,
.
(1)求抛物线的解析式;
(2)该抛物线上有一点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4e5bf2fc46de6d148602f505614c4e.png)
不与点
、
、
重合
,使得
,求点
的坐标;
(3)点
是线段
上的动点
不与点
、点
重合
,过点
作
轴交抛物线于点
,求线段
的最大值及此时
点的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c84818cfbd9a885081cb4e3294eabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55d12701014cf53071093e8739d089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4129098ad406f5d89c02c3b1c4b905d8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/13/b903a07d-e1c6-44e5-82eb-e94521fdee95.png?resizew=393)
(1)求抛物线的解析式;
(2)该抛物线上有一点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4e5bf2fc46de6d148602f505614c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19fd08c188ce82b6a0074a755246badd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(3)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989cef39186a792f65ee5dbc18082fde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be602a29cad9e1fb71072174e77eaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
4 . 如图,抛物线
与
轴交于
,
两点(点
在点
的左侧),且点
为
,与
轴交于点
,直线
经过
,
两点,点
是第一象限内抛物线上的一个动点,连接
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/8/bb938574-14c2-449c-b83b-6a0a849f5108.png?resizew=182)
(1)求抛物线的函数表达式;
(2)直线
的解析式记为
,当
时,直接写出
的取值范围;
(3)设点
的横坐标为
,四边形
的面积为
,求
的最大值并求出此时点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/442834866daf52da017a459b05d8031b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e32f16d75ccb62a04970f861827fca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec32b9cfee142d1d4f68ab4771de77c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/8/bb938574-14c2-449c-b83b-6a0a849f5108.png?resizew=182)
(1)求抛物线的函数表达式;
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed06ccefffc165f9c77250cd28301d8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22cccd1f9e838f8065f004ac14377b8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42f7c674f87a67fde99afceb3cfd8189.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
5 . 如图,已知二次函数
的图象交
轴于点
,交y轴于点C.
(1)求这个二次函数的表达式;
(2)点
是直线
下方抛物线上的一动点,求
面积的最大值;
(3)直线
(不经过点
)分别交直线
和抛物线于点
,当
是等腰三角形时,直接写出
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a1b01c1a6d9a929a4e1d0d532ca8f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/467389c12fc0e0631782ddb4ca3854cf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/9/d78f51c5-3736-4886-a963-9b553310fa10.png?resizew=142)
(1)求这个二次函数的表达式;
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357265c532428e886a643e8e653eec9e.png)
(3)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d71f015144ffaf1faec94a259b4a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d0469336f71edd52dc9148c67db052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
6 . 如图,已知二次函数
的图象与
轴交于点
和点
,与
轴相交于点
.
(1)求该二次函数的解析式;
(2)点
在线段
上运动,过点
作
轴的垂线,与
交于点
,与抛物线交于点
.
①连接
,
,当四边形
的面积最大时,求此时点
的坐标和四边形
面积的最大值;
②探究是否存在点
使得以点
,
,
为顶点的三角形与
相似?若存在,求出点
的坐标;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d88bbd34102b55fa928e8ff83f0d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a525534689bd2701205d4ab17574c39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc03fafb03395ed84030f03c5d93aa3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/9/c09dd38b-52ef-44fc-9613-c7696e136077.png?resizew=411)
(1)求该二次函数的解析式;
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
①连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ee659d36a6fd486e2ca8d41c46f350.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ee659d36a6fd486e2ca8d41c46f350.png)
②探究是否存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41984f53bb280ba8b5ac00a52ce2825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2023-10-30更新
|
508次组卷
|
2卷引用:云南省红河哈尼族彝族自治州蒙自市2022-2023学年九年级上学期期末数学试题
7 . 如图,二次函数
的图象经过坐标原点,与x轴交于点
.
(1)求二次函数的解析式;
(2)当x为何值时,函数有最大值还是最小值?并求出最值;
(3)在抛物线上是否存在点P,满足
,若存在,请求出点P的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530a9976281288e0b1e1fb2601ebf18e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a525534689bd2701205d4ab17574c39.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/30/79ec4adf-1e54-4566-9cc9-93ef32ffd03c.png?resizew=160)
(1)求二次函数的解析式;
(2)当x为何值时,函数有最大值还是最小值?并求出最值;
(3)在抛物线上是否存在点P,满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5aead5d7ba40d88076b227b1436fcd.png)
您最近一年使用:0次
8 . 我们不妨约定:在平面直角坐标系中,若某直线
经过抛物线
(
,
,
是常数,
)的顶点和该抛物线与
轴的交点,则把该直线
称为抛物线
的“心心相融线”.根据该约定,请完成下列各题:
(1)若直线
是抛物线
的“心心相融线”,求
的值.
(2)若过原点的抛物线
(
,
是常数,且
)的“心心相融线”为
,则代数式
是否为定值?若是,请求出该定值;若不是,请说明理由.
(3)当常数
满足
时,求抛物线
(
,
,
是常数,
)的“心心相融线”
与
轴,
轴所围成的三角形面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04be2c79a792c5f15de83506382d192.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6767830cc1811f0f4ea5a008fdc7e723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5109eb35b9c16fc5e128198a1819a44c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若过原点的抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43091dee99247e22161194ddb2222d29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03b011f69dfc5262a3d82f64676739b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02dd116a0c9e6820b98b2b368a65f687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3a0459712f22cf44da9c436ed61f2e5.png)
(3)当常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48b2b3201592004941e42a4d3b4e117f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc93883a2b6acbbac751522ebb9df93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
您最近一年使用:0次
2023-10-18更新
|
132次组卷
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2卷引用:云南省昆明市官渡区长丰学校2023-2024学年九年级上学期期中数学试题
名校
9 . 综合与探究
如图,抛物线与
轴相交于
,
两点,且经过点
,点
为抛物线与
轴的交点.
(1)求抛物线的解析式和点C的坐标;
(2)若点
为抛物线图象上的一点,
,求
点的坐标;
(3)设点
是线段
上的动点,作
轴交抛物线于点
,求线段
长度的最大值.
如图,抛物线与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a18a7caa080988802ba1145b4fe4203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55d12701014cf53071093e8739d089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663d94efcc8a8a4b5a3563e94eb8fbb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/12/518442b8-c89d-4e8e-81e2-67a0b06d9417.png?resizew=242)
(1)求抛物线的解析式和点C的坐标;
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/871086b40fdebd773d04b75fea46cefc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac5c9bc238d2eb0e735b0477417ffec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c118858379800688c993a8b61270b356.png)
您最近一年使用:0次
2023-10-10更新
|
155次组卷
|
3卷引用:云南省昆明市第三中学2021-2022学年九年级上学期期中数学试题
名校
10 . 如图,抛物线
的顶点为A,抛物线
的顶点为B,过点A作
轴于点C.点B作
轴于点D,则阴影部分的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fb7fa4bfd4dabf2d07d8c12331c7a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/156ac45d44d4ab222c32a8ae4bee4082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2241bd71e0c20867029e489f9ba655d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9de7fcbcb1ef0134d70156bb19852ca5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/4/08f572e1-e812-4cc3-8562-71bf446ac804.png?resizew=262)
您最近一年使用:0次
2023-10-02更新
|
219次组卷
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7卷引用:云南省昆明市师大实验中学2020-2021学年九年级上学期12月月考数学试题
云南省昆明市师大实验中学2020-2021学年九年级上学期12月月考数学试题(已下线)专题2.31 二次函数知识点分类专题训练(基础篇)(专项练习2)-2021-2022学年九年级数学下册基础知识专项讲练(北师大版)2023年贵州省遵义市播州区中考三模数学试题山西省大同市灵丘县第二中学校2022-2023学年九年级上学期月考数学试题湖北省荆门市龙泉北校2023-2024学年九年级上学期月考数学试题广东省惠州市博罗县博罗中学初中部2023-2024学年九年级上学期期中数学试题河南省平顶山市宝丰县2023-2024学年九年级上学期期末数学试题