如图是抛物线
图象的一部分,抛物线的顶点坐标
,与
轴的一个交点
,直线
与抛物线交于
两点,下列结论:
①
;②
;③抛物线与
轴的另一个交点是
;④方程
有两个相等的实数根;⑤当
时,有
,其中正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/4/160862ec-60fd-4afe-a6c1-0da097a9dbb0.png?resizew=126)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c830e5a4c8c98c8d969da3953155999.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5676b498bfcd51e04264ceee5a2ffff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc9fdddc5cefa871f29e9199f7fe0b34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da474d82f66f092f3d1ba6e7a92c7e78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f57bf36e92fae170161eca953aa767.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa285de4d015f208441ffe9a84bbd780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a20ed1728e3ccbee1fee916b613d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28afd321b0de12f7717dace4552649fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f7f8806b67df8ad7afc86ebece91f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/222d4afdee00a1792f64e8d45257be2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e78138b93dfea31f960d8f24f33a00e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/4/160862ec-60fd-4afe-a6c1-0da097a9dbb0.png?resizew=126)
A.①②③ | B.①④⑤ | C.①③⑤ | D.①③④⑤ |
更新时间:2023-04-06 15:09:53
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【推荐1】二次函数
的图象如图所示,下列结论①
,②
,③
,④
.其中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6337d68cd5653767e3a1889b8b2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/375386102cba5bfd93bdf340216eb22d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16de2d7f06346a0fc6b5d6822e746237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f13ca4529fec915bd922d0c5d8228c67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a31d3ff0489fd0dec060f5f1cc30117.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/28/d13fb624-f08f-4a18-8114-f82b19948d71.png?resizew=148)
A.①④ | B.②④ | C.②③ | D.①②③④ |
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【推荐2】抛物线y=ax2+bx+c上部分点的横坐标x,纵坐标y 的对应值如表所示:
![](https://img.xkw.com/dksih/QBM/2020/2/7/2393770855948288/2394079602507777/STEM/d7b88c2053ee48e2a623db6c2a0070f1.png?resizew=294)
给出下列说法:①抛物线与y轴的交点为(0,6); ②抛物线的对称轴是在y轴的右侧;③抛物线一定经过点(3,0); ④在对称轴左侧,y随x增大而减小.从表中可知,下列说法正确的个数有( )
![](https://img.xkw.com/dksih/QBM/2020/2/7/2393770855948288/2394079602507777/STEM/d7b88c2053ee48e2a623db6c2a0070f1.png?resizew=294)
给出下列说法:①抛物线与y轴的交点为(0,6); ②抛物线的对称轴是在y轴的右侧;③抛物线一定经过点(3,0); ④在对称轴左侧,y随x增大而减小.从表中可知,下列说法正确的个数有( )
A.1个 | B.2个 | C.3个 | D.4个 |
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【推荐1】抛物线
的顶点为
,与x轴的一个交点A在点
和
之间,其部分图象如图,则以下结论:①
;②当
时,y随x增大而减小;③
;④若方程
没有实数根,则
;⑤
,中正确的是( )
![](https://img.xkw.com/dksih/QBM/2022/5/4/2978442964271104/2980694708641792/STEM/56765a9a-2855-4e54-bf46-7c64efd54ee0.png?resizew=153)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6337d68cd5653767e3a1889b8b2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f5552e592160034d418f2b4dee02dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95fcd639f88f4ff3199b584c2988e052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e09872be2fce54e922259bde2c540bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9deb79d044a379f31a8fc57736d7ead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc3e5be1796493161a4df7e28a6f6b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a31d3ff0489fd0dec060f5f1cc30117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2632fdb2c5dc8e65d5d44f4861f0cc6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17bda892497cea43df67db57b4e2a07a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a395a7795e783b4596bef9775d02ed6f.png)
![](https://img.xkw.com/dksih/QBM/2022/5/4/2978442964271104/2980694708641792/STEM/56765a9a-2855-4e54-bf46-7c64efd54ee0.png?resizew=153)
A.1个 | B.2个 | C.3个 | D.4个 |
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【推荐2】如图,抛物线
的顶点
的坐标为
,与
轴的一个交点位于0和1之间,则以下结论:①
;②
;③若图象经过点
,则
;④若关于
的方程
无实数根,则
.其中正确结论的个数是( )
![](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/c31ef2cbc8d16124f43e58960bc34def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d95221e64086e46d79292f31ae14948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88f0d01e07f1bc652d164a86bd9903a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96900bad6bfca4efce6f297c5b6a33d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd8ba8bfcbf4c2e2c47e83403bd8902.png)
A.1 | B.2 | C.3 | D.4 |
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【推荐1】二次函数
的部分对应值如下表:
则关于
的一元二次方程
的解为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e59da5115d0dafea24822245f92c48.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b800b7d6a688abf8a3018c133cec9e.png)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
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【推荐2】抛物线
交x轴于
,A两点,将
绕点A旋转
得到抛物线
,交x轴于另一点
;将
绕点
旋转
得到抛物线
,交x轴于另一点
;…,如此进行下去,形成如图所示的图像,则下列各点在图像上的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a3e51beb8d58a68f8446775b95e346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1a9821a00b71f6b7d7a76d91b3f810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe639eab78eafd2d40ea70aa5d3f21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe639eab78eafd2d40ea70aa5d3f21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/25/23dcef36-dca0-4fa7-b3a4-e2dae31040fd.png?resizew=233)
A.![]() | B.![]() | C.![]() | D.![]() |
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