1 . 在平面直角坐标系中,二次函数
的图象与x轴交于
,
两点,与y轴交于点C.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/15/55577896-1af7-4796-bd68-33f2361ec74a.png?resizew=331)
(1)求这个二次函数的解析式;
(2)点P是直线
上方的抛物线上一动点,是否存在点P,使
的面积最大?若存在,求出点的坐标;若不存在,说明理由;
(3)点
是直线
上方的抛物线上一动点,过点
作
垂直于
轴,垂足为
.是否存在点
,使以点
、
、
为顶点的三角形与
相似?若存在,直接写出点
的坐标;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0d44326c214c7a5ecc3068a29ec96f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9c33700c3358cbbd8db376f9f0613b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbb898663f98b8400a897913b4d3102.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/15/55577896-1af7-4796-bd68-33f2361ec74a.png?resizew=331)
(1)求这个二次函数的解析式;
(2)点P是直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147de24f071e316b68fd2e78e3c84545.png)
(3)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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf3d566704b44ea4ef1f99c37bd46902.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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbf9680f74a9ac5d934304654ce2771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
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2 . 垂柳是常见的树种之一,也是园林绿化中常用的行道树,观赏价值较高,成本低康.深受各地绿化喜爱.如图①是某街道旁的一棵垂柳,这棵垂柳中某一枝的形状星如图②所示的抛物线型,它距离地面的高度
与到树干的水平距离
之间满足关系式
.已知这枝垂柳的始端到地面的距离
,末端B恰好接触地面,且到始端的水平距离
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/15/16b63053-afcc-48ba-97dc-528a2735735a.png?resizew=333)
(1)求该抛物线的函数解析式;
(2)踩着高跷的小明头顶距离地面2m,他从点O出发向点B处走去,请计算小明走出多远时,头顶刚好碰到树枝?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/835cbdbbfa0718c2f7b70cfb41ba5ad3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f193416fbd3c6270c178009aaa27c255.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d88bbd34102b55fa928e8ff83f0d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318b6a044f8009271b165dc7e2cca404.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f7c9ca0c8fe6b9784005b0cf615874a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/15/16b63053-afcc-48ba-97dc-528a2735735a.png?resizew=333)
(1)求该抛物线的函数解析式;
(2)踩着高跷的小明头顶距离地面2m,他从点O出发向点B处走去,请计算小明走出多远时,头顶刚好碰到树枝?
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3 . 如图,抛物线与
轴交于
两点,
(1)求该抛物线的解析式:
(2)设(1)中的抛物线交
![](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/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bc4b926b29e58400df99ebf5771404.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(3)在(1)中的抛物线上的第二象限上是否存在一点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
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3卷引用:山东省淄博市2023年中考模拟数学模拟预测题 (3)
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4 . 中新社上海3月21日电(记者缪璐)21日在上海举行的2023年全国跳水冠军赛女子单人
米跳台决赛中,陈芋汐以
分的总分夺得冠军,全红婵全红婵·位列第三,掌敏洁获得铜牌.在精彩的比赛过程中,全红婵选择了一个极具难度的
(向后翻腾三周半抱膝).如图2所示,建立平面直角坐标系
.如果她从点
起跳后的运动路线可以看作抛物线的一部分,从起跳到入水的过程中她的竖直高度
(单位:米)与水平距离
(单位:米)近似满足函数关系式
.
与竖直高度
的几组数据如下:
根据上述数据,直接写出
的值为________,直接写出满足的函数关系式:___________;
(2)比赛当天的某一次跳水中,全红婵的竖直高度
与水平距离
近似满足函数关系,
记她训练的入水点的水平距离为
;比赛当天入水点的水平距离为
,则
____
(填
);
(3)在(2)的情况下,全红婵起跳后到达最高点
开始计时,若点
到水平面的距离为
,则她到水面的距离
与时间
之间近似满足
,如果全红婵在达到最高点后需要
秒的时间才能完成极具难度的
动作,请通过计算说明,她当天的比赛能否成功完成此动作?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64847e38b714dc251daebe858f07e315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44fbd9220d806ae8a938189ad632fe5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140666d11c3afe6c827be4745d3baa81.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/679182bc45fada76adbb105e0dc66206.png)
图1图2
(1)在平时训练完成一次跳水动作时,全红婵的水平距离![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
水平距离![]() | 0 | 3 | ![]() | 4. | ![]() |
竖直高度![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)比赛当天的某一次跳水中,全红婵的竖直高度
![](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/93ee5a85de0c235a9f9171e3d5b1cd72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edf900c810371fb21297c15f86d8743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31ac1def558351e2e3ed1235c570530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edf900c810371fb21297c15f86d8743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31ac1def558351e2e3ed1235c570530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07914b078e9fe03f379879d315c96df8.png)
(3)在(2)的情况下,全红婵起跳后到达最高点
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88177416724282af890cc08984733966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f0ef824845a450279d4af3b998b95c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44fbd9220d806ae8a938189ad632fe5e.png)
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13卷引用:山东省潍坊市2023-2024学年九年级上学期12月月考数学试题
山东省潍坊市2023-2024学年九年级上学期12月月考数学试题北京市西城区三帆中学2022~2023学年九年级下学期4月月考数学试题(已下线)第22单元03巩固练辽宁省大连市沙河口区2023-2024学年九年级上学期期中数学试题辽宁省大连市沙河口区2023-2024学年九年级上学期期中数学试题辽宁省大连市沙河口区2023-2024学年九年级上学期期中数学试题北京交通大学附属中学2023-2024学年九年级上学期月考数学试题北京市朝阳外国语学校2023-2024学年九年级上学期期中数学试题河南省郑州市二七区二七区京广实验中学2023-2024学年九年级上学期12月月考数学试题广西南宁市2023-2024 学年九年级上学期数学第二阶段素质评价试题广西壮族自治区南宁市江南区金凯初级中学2023-2024学年九年级上学期12月月考数学试题2024年北京市东城区北京二中教育集团中考一模数学试题(已下线)数学-2024年中考考前最后一课(2)
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5 . 如图1,在平面直角坐标系中,抛物线
交x轴于
和
两点,交y轴于点C,点D是线段
上一动点,连接
,将线段
绕点D顺时针旋转
得到线段
,过点E作直线
轴于H,过点C作
于F.
(1)![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/12/c3b9d408-22a1-4d7a-8f32-0f2596764a5f.png?resizew=510)
求抛物线解析式;
(2)如图2,当点F恰好在抛物线上时,求线段
的长;
(3)在(2)的条件下:试探究在直线l上,是否存在点G,使
?若存在,请求出所有符合条件的点G的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d8de071a9c22c96a59b172d76c127e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d57173ef4cd72eb270686875dfd623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56c53a3db1c5e56df936174633faae92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/165a501b2e6a3acc46212e59a166c053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d365706d6c383f3013c39edeed16efa.png)
(1)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/12/c3b9d408-22a1-4d7a-8f32-0f2596764a5f.png?resizew=510)
求抛物线解析式;
(2)如图2,当点F恰好在抛物线上时,求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
(3)在(2)的条件下:试探究在直线l上,是否存在点G,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06960470a4a4e1cfba27107a13ec3e6f.png)
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2024-01-12更新
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2卷引用:山东省临沂市费县2023-2024学年九年级上学期期末数学试题
23-24九年级上·全国·期末
6 . 如图,已知抛物线
经过点
和点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/12/10862102-2fc8-4bc3-b5ab-829e592c4cf4.png?resizew=122)
(1)求该抛物线的解析式;
(2)点P是抛物线上的一动点(点P在直线
的下方),过点P作
轴,交直线
于点Q.设点P的横坐标为m,求线段
的长(用含m的代数式表示);
(3)在(2)的条件下,连接
、
,求
面积的最大值,并求出此时点P的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e59da5115d0dafea24822245f92c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea0638778c13f3308d5b93ecd995f7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f579dffa5d64fb195b6dcdac3899a31b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/12/10862102-2fc8-4bc3-b5ab-829e592c4cf4.png?resizew=122)
(1)求该抛物线的解析式;
(2)点P是抛物线上的一动点(点P在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24f27083267432a9352fb6677a07d461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
(3)在(2)的条件下,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
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7 . 如图,已知抛物线
与x轴交于
,B两点,与y交于点C,直线l:
与x轴、y轴分别交于点E,F,直线与抛物线有唯一交点G.
(2)点H为抛物线对称轴上的动点,且到B,G的距离之和最小时,求点H的坐标,并求
内切圆的半径;
(3)在第一象限内的抛物线上是否存在点K,使
的面积最大?如果存在,求出
的最大面积,如果不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/102068e41a208a7ba4fc87a125d08ced.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d57173ef4cd72eb270686875dfd623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13653a89d3a38346e1ddf4fd1602f85.png)
(2)点H为抛物线对称轴上的动点,且到B,G的距离之和最小时,求点H的坐标,并求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3523f5509a516a598452fdc34be5749b.png)
(3)在第一象限内的抛物线上是否存在点K,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf351165a5c69850cc5430be7373b67d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf351165a5c69850cc5430be7373b67d.png)
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2024-01-11更新
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160次组卷
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4卷引用:山东省临沂市沂水县实验中学2023-2024学年九年级上学期期末数学试题
8 . 已知,在平面直角坐标系中,抛物线
经过
,
,
三点.
(1)求抛物线对应的函数表达式;
(2)求抛物线的对称轴和顶点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83f2638d71e5d00c241c6704b32094d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5835ba4e6ab3a8591ac32ea548724ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c76751b6d083ec3f5f08308dfedadf9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48772e708a1baed9766db83d5d4edeb5.png)
(1)求抛物线对应的函数表达式;
(2)求抛物线的对称轴和顶点坐标.
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2卷引用:山东省临沂市费县第二中学2023-2024学年九年级上学期1月月考数学试题
9 . 如图,抛物线
与
轴的交点分别为
和
,与
轴交于点
,连接
、
,点
是线段
上,不与点
、
重合的一个动点,过点
作
轴,交抛物线于点
,交
于点
,其对称轴与
轴交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/10/7dce9882-7343-482f-8eda-d001c9423b7b.png?resizew=169)
(1)求抛物线的表达式;
(2)在点
的运动过程中,能否使线段
?若能,请求出点
的坐标,若不能,请说明理由;
(3)在抛物线的对称轴上是否存在点
,使
是等腰三角形?若存在,请直接写出点
的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c119eba6bc8434123efc698b0d5930b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9c33700c3358cbbd8db376f9f0613b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbb898663f98b8400a897913b4d3102.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](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/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4914b846a985658a528ab9d70ccc7c30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/10/7dce9882-7343-482f-8eda-d001c9423b7b.png?resizew=169)
(1)求抛物线的表达式;
(2)在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0487ebca22d4aa1233073f81fd70a424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(3)在抛物线的对称轴上是否存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e61dcc9e44da26134757b1442d2ab89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
名校
10 . 如图,已知二次函数
的图象与
轴交于
和
两点,与
轴交于
,对称轴为直线
,连接
,在线段
上有一动点
,过点
作
轴的平行线交二次函数的图象于点
,交
轴于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/26/616fe544-99d6-4435-b02e-f181d8abd761.png?resizew=165)
(1)求抛物线与直线
的函数解析式;
(2)设点
的坐标为
,求
面积的最大值;
(3)若点
在线段
上运动,则是否存在这样的点
,使得
与
相似,若存在,请直接写出点
的坐标,若不存在,请写出理由.
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36488f7dff759ace2a27e56c3857056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15af0278feed30c7c6ca0c6788406976.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af86a954dad92dfc94f837955f82718.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/26/616fe544-99d6-4435-b02e-f181d8abd761.png?resizew=165)
(1)求抛物线与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3726021850f5b937bf61783869b4d68e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90c37f2ec8fde10421851e000afa9ce1.png)
(3)若点
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a360a2f662b9996c2c7980b8672fcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72b886208c6c2df19b984f2631e1c996.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
2024-01-10更新
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386次组卷
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3卷引用:专题11 二次函数综合问题(九大题型)-【好题汇编】备战2023-2024学年九年级数学上学期期末真题分类汇编(山东专用)
(已下线)专题11 二次函数综合问题(九大题型)-【好题汇编】备战2023-2024学年九年级数学上学期期末真题分类汇编(山东专用)黑龙江省绥化市第八中学校2023-2024学年九年级(五四学制)上学期第二次月考数学试题湖北省随州市随县2023-2024学年九年级上学期联考数学试题