名校
解题方法
1 . 已知二次函数
的图象如图,有下列5个结论:①
;②
;③当
时,y随x的增大而增大;④
;⑤
(其中
)其中正确的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6337d68cd5653767e3a1889b8b2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209045c57c031f69d05333c968694a71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f89938c2f0a77fdecbc1b7d166a93ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7587c2a5b662b6f0815123273945a66c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060e7930731eddbcfac592b808e9b698.png)
A.1 | B.2 | C.3 | D.4 |
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2 . 如图是二次函数
图象的一部分,其对称轴是直线
,且过点
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85f28d35611af6d2c64ad19771297f1b.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
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2024-01-06更新
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3卷引用:安徽省宣城市宁国中学2023-2024学年高一上学期实验班新生入学考试数学试题
名校
解题方法
3 . 函数
与
在同一平面直角坐标系中的图象不可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60f344b96e74241dbfc81f3b6b3425af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7221a53f7426c7c01d5d8f5182362612.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-12-28更新
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3卷引用:安徽省部分学校2023-2024学年高一上学期12月阶段性检测数学试题
安徽省部分学校2023-2024学年高一上学期12月阶段性检测数学试题(已下线)专题06 幂指对函数的图象与性质(1)-【寒假自学课】(苏教版2019)广东省广州市第六中学2023-2024学年高一上学期期末数学试题
名校
解题方法
4 . 已知二次函数
,且满足①不等式
的解集为
:②函数
的图象过点
.
(1)求函数
的解折式:
(2)设
,求函数
在
上的最小值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d7ed6f4b0e08cd887d2fdc2a5e37e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99839290ccd42c26f1c391aa36e787e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990eaf5dbba84f199bdc438da81fcfa6.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6785823721fb2e288b417ba2d617ef04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ecfb37a8058916d5b12b2427be7a406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c258f572aea4856fd947cd8ee40acd41.png)
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2023-10-31更新
|
385次组卷
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2卷引用:安徽省安庆市怀宁县第二中学2023-2024学年高一上学期期中数学试题
解题方法
5 . 二次函数
与
的图象可能是下图中的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa5fec95ac55a5d3a805db7f5328709.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 对于每个x,函数y是
,
这两个函数的较小值,则函数y的最大值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31f1d99baca1c07b30ab5d18064cf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e0bed79519900f67f0ebbd264d82872.png)
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解题方法
7 . 已知
是方程
的两根,且
,
,实数
的大小关系可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a83b1d5ee09072052ce96cc8d66fae5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90df641ab645927ee577e79faf18dcdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715bb41d39ba5cccf967fab81b59d3fd.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 二次函数
的部分图象如图所示,则下面结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/11/f6dfdc3d-a5e0-408f-98f9-7b558fccd79b.png?resizew=165)
A.![]() | B.![]() |
C.![]() | D.当![]() ![]() |
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2023-10-11更新
|
920次组卷
|
4卷引用:安徽省芜湖市华星学校2023-2024学年高一上学期期中数学试题
名校
解题方法
9 . 已知如图在Rt△OAB中,
.若以O为坐标原点,OA所在直线为x轴,建立如图所示的平面直角坐标系,点B在第一象限内.将Rt△OAB沿OB折叠后,点A落在第一象限内的点C处.
(1)求点C的坐标;
(2)若抛物线
经过C、A两点,求此抛物线的解析式;
(3)若抛物线的对称轴与OB交于点D,点P为线段DB上一点,过P作y轴的平行线,交抛物线于点M.问:是否存在点P,使得
?若存在,请求出此时点P的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f06bf2e0e04d12c41025fa476bc765.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/1/5f12fa00-9c1a-4558-b13f-f2001f3321b4.png?resizew=118)
(1)求点C的坐标;
(2)若抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62df6feec0736be43171e25089d12677.png)
(3)若抛物线的对称轴与OB交于点D,点P为线段DB上一点,过P作y轴的平行线,交抛物线于点M.问:是否存在点P,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b187c822e41bd763d1a7a3a1f4a929ed.png)
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名校
解题方法
10 . 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
|
248次组卷
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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