1 . 下列关于二次函数
的图象和性质的叙述中,正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a552a41b4c2ab7a159934f0dee89c7c.png)
A.点![]() | B.开口方向向上 |
C.对称轴是直线![]() | D.与直线![]() |
您最近一年使用:0次
2024-03-07更新
|
110次组卷
|
2卷引用:辽宁省本溪市2023-2024学年九年级下学期开学考试数学试题
名校
2 . 如图所示是抛物线
的部分图象,其顶点坐标为
,抛物线与x轴的一个交点在
和
之间,则下列结论:①
;②
;③
;④一元二次方程
没有实数根.其中正确的结论个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6337d68cd5653767e3a1889b8b2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6ad85072c47fbb57fb296d4096322c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/623afc24f2227004b0e1b3922dfb954b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e32f16d75ccb62a04970f861827fca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da68ff94b0877adb96abbc3e0fa52d86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da04f641c850a75a63031d5aed2e0625.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e536a8e35270f948733ef2f5b5649284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b9a703d4a61e4645d235aa4746442c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/19/9b88c850-029a-46be-b80d-9bdc47d8418e.png?resizew=180)
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
2023-10-07更新
|
227次组卷
|
11卷引用:辽宁省铁岭市开原市2022-2023学年九年级下学期开学考试数学试题
辽宁省铁岭市开原市2022-2023学年九年级下学期开学考试数学试题湖北省黄石市还地桥教联体2022-2023学年九年级下学期开学考试数学试题湖南省长沙市雨花区2022-2023学年雅礼实验中学九年级上学期开学考试数学试题2023年湖北省恩施州咸丰县中考一模数学试题甘肃省武威市凉州区2023-2024学年九年级上学期10月月考数学试题山东省淄博市张店区剑桥中学2023-2024学年九年级上学期数学10月考试题湖北省襄阳五中华侨城实验学校2023-2024学年九年级下学期数学周测(1)西藏自治区初中校联考2023-2024学年九年级上学期期末数学试题甘肃省武威市凉州区部分校2023-2024学年九年级上学期第一次诊断考试数学模拟试题2023年四川省宜宾市中考数学模拟预测题六湖北省恩施州巴东县2023-2024学年九年级下学期第一次联考数学试题
名校
3 . 如图,抛物线
的图象经过点C
,顶点D的坐标为
,与x轴交于A、B两点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/c35e7edb-69a6-42bf-a702-864f6ffc713e.png?resizew=153)
(1)求抛物线的解析式.
(2)连接
,E为直线
上一点,当
时,则点E的坐标___.
(3)点F
是y轴上一动点,点C关于x轴的对称点为H,当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83fb9ac8a18e78a4c56da79514b5ccb.png)
取最小值时,在抛物线的对称轴上是否存在点Q,使
是直角三角形?若存在,请直接写出点Q的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d039de5bf810e3ff6b0b6096fa48d462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ceca65743902964969d5960b3a16ace.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7cd4dba3a268c307a94b52816d927ea.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/c35e7edb-69a6-42bf-a702-864f6ffc713e.png?resizew=153)
(1)求抛物线的解析式.
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd07fdb4569668be4bd7e06e8dddef07.png)
(3)点F
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e41609e69d65e743f7fac1cc163e7f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83fb9ac8a18e78a4c56da79514b5ccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a2d2f5cf2212fc042cfad59560de184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149599d4161ac0e6ef91e06aef47029d.png)
您最近一年使用:0次
名校
4 . 从
,
,0,1,2这五个数中任取一个数作为a的值,则抛物线
开口向下的概率是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a28dbc317b1aaf2de034eb570ff1734f.png)
您最近一年使用:0次
名校
5 . 若二次函数
的图象经过点
,则代数式
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd726a709fcbca1ddf826dca89d054f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69abe959988e4c8c0739f5857ccfb0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
您最近一年使用:0次
2023-03-14更新
|
411次组卷
|
4卷引用:辽宁省铁岭市开原市2022-2023学年九年级下学期开学考试数学试题
6 . 如图所示,抛物线
经过
点
,与
轴的交点在
和
之间,对称轴为直线
.下列说法:①
;②
;③
;④若
与
是抛物线上的两个点,则
;⑤关于
的方程
有两个不相等的实数根;正确的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/15/c05e9a85-7c3f-4d03-b638-d00acfc43ed5.png?resizew=135)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2a5e336b6bcba6354fd366c892dd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0e705301752424a492f6277ed7774e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f2e8b5365c2f086a02e5dd3c3bd116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3227686bd574834e0fba3a2df9243167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f258e2481aa0a861dde26dfbcf685cc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b2169af82b67687f88270b632b8786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8676e506f6c855c2084e53ef228d73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b65cc9c2b83f2e321ef86e353340ce8e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/15/c05e9a85-7c3f-4d03-b638-d00acfc43ed5.png?resizew=135)
A.5 | B.4 | C.3 | D.2 |
您最近一年使用:0次
7 . 已知:如图1,抛物线
:
与x轴交于点A,对称轴为
,直线
:
经过抛物线上点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/12/35e59579-9832-4443-b134-b2dcc57d9ca1.png?resizew=408)
(1)求出抛物线
的函数表达式及
的值;
(2)如图2,过点B作
轴,垂足为E,交抛物线于点M,过点M作直线
交
于点H,交抛物线于点N,设点N的横坐标为
.
①求M点坐标;
②连接BN,设
和
的面积分别为
和
,当
时,请直接 写出
的值.
③在②的条件下,当
时,过点
作直线
轴,交
于点Q,点P为平面内动点,若满足
,连接
,请直接 写出
周长的最小值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53be61cd85ec86aabd164cae0265246b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f2bba8303c05689ef4538e98e8929.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/12/35e59579-9832-4443-b134-b2dcc57d9ca1.png?resizew=408)
(1)求出抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)如图2,过点B作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4511e39ca2df61abc1ad0516eb449e71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e648bb098f16745a0eec15749c07dd7.png)
①求M点坐标;
②连接BN,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266147d4cb2cda03b68d15a67f1d1d57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4482d899598b7ddfff953f5a8face743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6dfe3b3ed47c49076e2b7636c4e27b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
③在②的条件下,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b5d4a9a08a6ecd6dd6250cbfdb229c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a79189b2790d263349f819f3d6a0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc90e1f446e4baaf725bb47a060e111.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46377cebc8defe6d156cc7451f5f1278.png)
您最近一年使用:0次
名校
8 . 如图,一块矩形土地
由篱笆围着,并且由一条与
边平行的篱笆
分开.已知篱笆的总长为420m(篱笆的厚度忽略不计),当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
______ m时,矩形土地
的面积最大.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/11/99a93531-645e-4be4-884c-c6fb1cf11945.png?resizew=214)
您最近一年使用:0次
真题
名校
9 . 二次函数
的图象的一部分如图所示.已知图象经过点
,其对称轴为直线
.下列结论:①
;②
;③
;④若抛物线经过点
,则关于
的一元二次方程
的两根分别为
,5,上述结论中正确结论的个数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/ecc7ec64-e135-4439-9f58-d9fd68a0dcda.jpg?resizew=109)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc90b02a4cd1425aabfc192b1cdee17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b3c94d505e7c5bcce94afec4af3d92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16de2d7f06346a0fc6b5d6822e746237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810961de0c2c5174c5be32e8e5b4bf21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea840f210f9b5b839edb5d34ee2a4f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ef726db32be16b6b25506472c7e59e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a39ff7e27c7d2a0a337e4bf2b3576b58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/ecc7ec64-e135-4439-9f58-d9fd68a0dcda.jpg?resizew=109)
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
2021-06-27更新
|
3039次组卷
|
21卷引用:辽宁省沈阳市第一二六中学2022-2023学年九年级下学期开学考试数学试题
辽宁省沈阳市第一二六中学2022-2023学年九年级下学期开学考试数学试题湖北省黄石市第十六中学2021-2022学年九年级下学期开学考试数学试题湖北省鄂州市2021年中考数学真题(已下线)期中测试卷【C卷】-2021-2022学年九年级数学上册同步必刷基础拓展单元卷(人教版)陕西省宝鸡市陇县2021-2022学年九年级上学期期中数学试题(已下线)专题12 函数图象的分析与辨析【考点精讲】-【中考高分导航】备战2022年中考数学考点总复习(全国通用)(已下线)专题10 选择题压轴题之多结论题型-备战2022年中考数学临考题号押题(全国通用)(已下线)回归教材重难点02 二次函数图像与系数a,b,c之间关系-【查漏补缺】2022年中考数学三轮冲刺过关湖南省长沙市长沙县2021-2022学年九年级上学期期末数学试题2022年山东省枣庄市台儿庄区中考二模数学试题2022年广东省深圳市九年级数学中考三模模拟试题河南省驻马店市汝南县2021-2022学年九年级上学期期末数学试题江西省上饶市余干县2021-2022学年九年级上学期第一次月考数学试卷 安徽省淮北市第二中学联考2022-2023学年九年级上学期第一次月考数学试卷2022年黑龙江省肇东市第十一中学中考四模数学试题广东省深圳市新安中学(集团)外国语学校2021-2022学年九年级下学期月考数学试题2022年广东省深圳市27校联考中考模拟数学试题贵州省贵阳市花溪区花溪区高坡民族中学2023-2024学年九年级上学期期中数学试题湖北省天门市华斯达学校2021-2022学年九年级下学期月考数学试题湖北省黄冈市英山县2023-2024学年九年级下学期月考数学试题2023年山东省济南市中考数学模拟预测试题(二)
10 . 如图,二次函数
的图象与
轴交于点
,其对称轴为直线
,下面结论中正确的是( )
![](https://img.xkw.com/dksih/QBM/2020/8/5/2521123159744512/2524040187240448/STEM/4757b64d-117d-45d1-8569-d6099970fc62.png?resizew=248)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6337d68cd5653767e3a1889b8b2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d57173ef4cd72eb270686875dfd623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://img.xkw.com/dksih/QBM/2020/8/5/2521123159744512/2524040187240448/STEM/4757b64d-117d-45d1-8569-d6099970fc62.png?resizew=248)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-08-09更新
|
135次组卷
|
5卷引用:辽宁省新民市实验中学2022-2023学年九年级下学期开学考试数学试题