1 . 如图,已知抛物线
:
与y轴相交于点
,对称轴为直线
.坐标原点为O点,抛物线
的对称轴交x轴于A点.
(2)若点P为抛物线上的一动点,连接PO交线段AC于点B,当
时,求点P的坐标;
(3)将抛物线
向左平移2个单位长度得到抛物线
,
与
相交于点E,点F为抛物线
对称轴上的一点,在平面直角坐标系中是否存在点H,使以点C,E,F,H为顶点的四边形为菱形,若存在,请直接写出点H的坐标:若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d88bbd34102b55fa928e8ff83f0d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f6dd0159f0fe46dbc3f4e493f8d3e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
(2)若点P为抛物线上的一动点,连接PO交线段AC于点B,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b3007992cedfabbb5678a6e02aa365.png)
(3)将抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
您最近一年使用:0次
2 . 如图,在直角坐标系中,直线
与x轴、y轴的交点分别为A、B,以
为对称轴的抛物线
与x轴分别交于点A、C.
(2)若点P是第二象限内抛物线上的动点,其横坐标为t.设抛物线的对称轴l与x轴交于一点D,连接
,交
于E,求出当以A、D、E为顶点的三角形与
相似时点P的坐标;
(3)点M是对称轴上任意一点,在抛物线上是否存在点N,使以点A、B、M、N为顶点的四边形是平行四边形?若存在,请直接写出点N的坐标;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0cd46f83439cc8feb3ad3b2dd1c77e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d88bbd34102b55fa928e8ff83f0d52.png)
(2)若点P是第二象限内抛物线上的动点,其横坐标为t.设抛物线的对称轴l与x轴交于一点D,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365822bd3945e6a3e871ca979c84cc12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
(3)点M是对称轴上任意一点,在抛物线上是否存在点N,使以点A、B、M、N为顶点的四边形是平行四边形?若存在,请直接写出点N的坐标;若不存在,说明理由.
您最近一年使用:0次
2024九年级下·江苏·专题练习
3 . 如图,已知直线
与y轴交于点A,与x轴交于点D,抛物线
与直线交于A、E两点,与x轴交于B、C两点,且线段
.(注:抛物线
的对称轴为
)
(2)在抛物线的对称轴上找一点M,使
的值最大,求点M的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e091cface0c4a22727634eb480562d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92215babdee1e91bf5a850511d55408d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fca3734de79f7f50b552ef62b29dc7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432b2ea4adca1484f86c8935d76b4fba.png)
(2)在抛物线的对称轴上找一点M,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c37f358e9a9fc2f4c74f646c24cbc5b4.png)
您最近一年使用:0次
4 . 如图,在平面直角坐标系中,抛物线
经过点
,点P,Q在此抛物线上,其横坐标分别为
,连接
.
(2)当
的边与x轴平行时,求点P与点Q的纵坐标的差;
(3)设此抛物线在点A与点P之间部分(包括点A和点P)的最高点与最低点的纵坐标的差为
,在点A与点Q之间部分(包括点A和点Q)的最高点与最低点的纵坐标的差为
,当
时,直接写出m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f0a689a0bea86ac5512d89d2fb8f73d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90c7f93ae305d67cf31b751e768ae48a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37f3514973db1482b7abfeb8b26bd401.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940060c97feb69438eb2877721019f36.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7023ec0f513c7d0ef86859a5ede54.png)
(3)设此抛物线在点A与点P之间部分(包括点A和点P)的最高点与最低点的纵坐标的差为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b53eab97158937f92039c1e133b0f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f285174fbf90a9742de57c1e53224cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/489aeac3c4e1192ccf14103077a05120.png)
您最近一年使用:0次
2024-05-07更新
|
130次组卷
|
4卷引用:2024年山东省聊城市东阿县部分学校中考数学一模模拟试题
2024年山东省聊城市东阿县部分学校中考数学一模模拟试题(已下线)2024年山东省枣庄市中考数学真题变式题21-23题2024学年江苏省常州市北郊初级中学九年级下学期新课结束学业水平调研数学模拟预测题(已下线)重难点02 二次函数的压轴类型(7大题型+满分技巧+限时分层检测)-2024年中考数学【热点·重点·难点】专练(广东专用)
5 . 已知抛物线
与x轴交于点
,点
,与y轴交于点
.
(2)如图,若直线
下方的抛物线上有一动点
,过点
作
轴平行线交
于
,过点
作
的垂线,垂足为
,求
周长的最大值;
(3)若点
在抛物线的对称轴上,点
在
轴上,是否存在以
,
,
,
为顶点的四边形为平行四边形,若存在,求出点
的坐标,若不存在,请说明理由;
(4)将抛物线向左平移
个单位,再向上平移
个单位,得到一个新的抛物线,问在
轴正半轴上是否存在一点
,使得当经过点
的任意一条直线与新抛物线交于
,
两点时,总有
为定值?若存在,求出点
坐标及定值,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f21afb4ee2020a495a8821b8dfe0cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311497849126f1aaf1da0ec75602eabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d03fa28c117649b0fdfe17eed7b583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)如图,若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbdc82c9ba581fa7f462ed812d195cb4.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(4)将抛物线向左平移
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4979ae977814a1332b85fb155ffff8f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
您最近一年使用:0次
2024-05-07更新
|
373次组卷
|
3卷引用:2024年山东省淄博市临淄区中考一模数学试题
2024年山东省淄博市临淄区中考一模数学试题2024年贵州省黔东南州九年级数学中考模拟测试卷(一)(已下线)重难点02 二次函数的压轴类型(7大题型+满分技巧+限时分层检测)-2024年中考数学【热点·重点·难点】专练(广东专用)
6 . 如图,抛物线
与
轴交于点
和
.
(2)若抛物线的对称轴交x轴于点E,点F是位于x轴上方对称轴上一点,
轴,与对称轴右侧的抛物线交于点C,且四边形
是平行四边形,求点C的坐标;
(3)在(2)的条件下,抛物线的对称轴上是否存在点P,使
是直角三角形?若存在,求出点P的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0d44326c214c7a5ecc3068a29ec96f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8950c7bc835103d52ceffab14b6b31a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69fff64ee6ea236550185efc7ed1b598.png)
(2)若抛物线的对称轴交x轴于点E,点F是位于x轴上方对称轴上一点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c64f2323c615f501768266232959cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e689223dbda856ab0898b0010ffb86a.png)
(3)在(2)的条件下,抛物线的对称轴上是否存在点P,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29eaf0ed8d20d6cac5d614570a5e8267.png)
您最近一年使用:0次
2024-04-29更新
|
254次组卷
|
13卷引用:2015届山东省临沂市兰陵县九年级一轮模拟考试数学试卷
2015届山东省临沂市兰陵县九年级一轮模拟考试数学试卷2020年山东省济南市莱芜区中考一模数学试题2024年山东省泰安市泰山区泰山学院附属中学中考数学模拟预测题2024年山东省泰安市多校联考中考数学一模模拟试题(3月份)2016届江苏省镇江市丹阳市十乡联考九年级下学期第一次月考数学试卷甘肃省高台县南华初级中学2018届九年级第一次模拟考试数学试题(已下线)【万唯原创】2015年陕西省-面对面正文-选择、填空题的解题技巧题型2(已下线)【万唯原创】2014年陕西-面对面正文-第二部分 选填重难点题型突破22021年江苏省丰县欢口镇欢口初级中学中考模拟数学试题2021年江苏省徐州市丰县欢口中学中考数学模拟试题2023年青海省西宁市中考一模数学试题 吉林省四平市双辽市2023-2024学年九年级上学期期末数学试题2023学年青海西宁市大通县东峡民族中学下学期中考命题比赛数学模拟预测题
7 . 如图1,抛物线
交x轴于A,B两点,其中点A的坐标为
与y轴交于点C,
.
(2)点P为直线
下方抛物线上一点,
,
轴,求
周长的最大值;
(3)如图2,连接
,点P在抛物线上,且满足
,求点P的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e59da5115d0dafea24822245f92c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff32d26c8d44f5fb4813a19c1030a9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad9e91966c563d3766e7a0f1f04ddd8.png)
(2)点P为直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c65334978b0519b379910dfc4acf8344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213144e25996b7fd3cd69d9c5ae56be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cff7399ecc698e2fb415147c96d0d03.png)
(3)如图2,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4ef2576df24fd9d22b0e79a8d70c8b.png)
您最近一年使用:0次
8 . 已知二次函数的图象过原点,顶点坐标为
.
(2)如图1,在
轴下方作
轴的平行线
,交二次函数图象于
两点,过
两点分别作
轴的垂线,垂足分别为点
、点
.当矩形
为正方形时,求
点的坐标;
(3)如图2,在(2)的条件下,作直线
,动点
从点
出发沿射线
以每秒1个单位长度匀速运动,同时动点
以相同的速度从点
出发沿线段
匀速运动,到达点
时立即原速返回,当动点
返回到点
时,
两点同时停止运动,设运动时间为
秒
.过点
向
轴作垂线,交抛物线于点
,交直线
于点
,当以
四点为顶点的四边形是平行四边形时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf60c5d776aad426f6fa827a35f09b.png)
(2)如图1,在
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)如图2,在(2)的条件下,作直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b1b15a4605fce993cb13aefbf40360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a363df9127fb019f87ec53470c50dcc3.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20b6e68449503e4d97958c2282a9abdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2024-04-19更新
|
74次组卷
|
2卷引用:2024年山东省济南市莱芜区阶段性考试九年级数学模拟预测题
9 . 如图,抛物线
与
轴交于点
、
,且经过点
.
(2)在
轴下方的抛物线上任取一点
,射线
、
分别与抛物线对称轴交于点
、
,点
关于
轴的对称点为
,求
的面积;
(3)点
是
轴上一动点,当
最大时,请直接写出点
的坐标.
![](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/2375a27ead9549550676d4e6a2b47243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69fff64ee6ea236550185efc7ed1b598.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a3a7b89739691a092ecc1fbd518e12.png)
(2)在
![](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/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.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/5a42da28be159399514cc6179a96e34b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc1b9ecd75bc46dece26adc1980e5bb.png)
(3)点
![](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/0d7890f747854b8fcf25dcff1991fb84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2024-04-18更新
|
220次组卷
|
3卷引用:2024年山东省济宁市兖州区一模数学模拟试题
2024年山东省济宁市兖州区一模数学模拟试题(已下线)热点08 圆(13大题型+满分技巧+限时分层检测)-2024年中考数学【热点·重点·难点】专练(广东专用)数学(上海卷)-【试题猜想】2024年中考考前最后一卷
10 . 如图,抛物线
与
轴交于
两点,与
轴交于点
.抛物线的对称轴
与经过点
的直线
交于点
,与
轴交于点
.
(2)在抛物线上是否存在点
,使得
是以
为直角边的直角三角形?若存在,求出所有点
的坐标;若不存在,请说明理由;
(3)以点
为圆心,画半径为
的圆,点
为
上一个动点,请求出
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c977d0f39570f4f89be26efe20cc056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae6f48b9a53c0155a692509cf31f7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc236aba2122784d9a837803d7de366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)在抛物线上是否存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f9fba8a4098c1a0515286eb8d616dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(3)以点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6f6558fef858bf27e9811c2d9426fe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33c90eb575f3b707a5d5a420c75c6f27.png)
您最近一年使用:0次