已知二次函数
的图象如图所示,则下列结论:
①
同号;②当
和
时,函数值相等;③
;④当
时,
的值只能取0.其中正确的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/20/64a9048b-463a-460e-930c-574dda0afa7f.png?resizew=149)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6337d68cd5653767e3a1889b8b2e3.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983559377b0302733713116abb64d4f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e8ebd1d7fc0e20a1de79ed02516e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd24f3c4bc9f9a75d4b28630bb630d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/20/64a9048b-463a-460e-930c-574dda0afa7f.png?resizew=149)
A.1个 | B.2个 | C.3个 | D.4个 |
更新时间:2022-01-01 14:37:57
|
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【推荐1】如图,在平面直角坐标系
中,点
,y是关于
的二次函数,抛物线
经过点
.抛物线
经过点
抛物线
经过点
抛物线
经过点
则下列判断:
![](https://img.xkw.com/dksih/QBM/2020/1/15/2377795917414400/2378890129801216/STEM/95c1e65bcd204edc96594de28ae472df.png?resizew=153)
①四条抛物线的开口方向均向下;
②当
时,四条抛物线表达式中的
均随
的增大而增大;
③抛物线
的顶点在抛物线
顶点的上方;
④抛物线
与
轴交点在点
的上方.
其中正确的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0911c6c33c8251e061cbd7de53985818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab6c434566e6113fcb21ada93821dea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9985ad1358d0fddcb8bfc99deb95bf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f23323a6f00996487ca0e8638c08b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c9d3972a2d38b242665827a62ac67c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5af33867bce1c80c70275778225c610.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a640f1a2577d438155787bbd52976773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e66fe2c5ad8a09d920373db4da14a057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de90ec9fa182d05863f4e080d681cf24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf6491c4211aa280534494826cb62c51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a49983b6d416529309a03deeef9eb29.png)
![](https://img.xkw.com/dksih/QBM/2020/1/15/2377795917414400/2378890129801216/STEM/95c1e65bcd204edc96594de28ae472df.png?resizew=153)
①四条抛物线的开口方向均向下;
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/133c82c2ad224d123e634f4c3e15c55b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d0d46da745fa5e71ea97e7b30beb6fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9985ad1358d0fddcb8bfc99deb95bf1.png)
③抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f23323a6f00996487ca0e8638c08b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5af33867bce1c80c70275778225c610.png)
④抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf6491c4211aa280534494826cb62c51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d0d46da745fa5e71ea97e7b30beb6fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14c6709d2a04863cacdee618b20613e.png)
其中正确的是
A.①②④ | B.①③④ |
C.①②③ | D.②③④ |
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【推荐2】表中所列
的6对值是二次函数
图象上的点所对应的坐标,其中
.
根据表中信息,下列4个结论:①
;②
;③
;④如果
,那么当
时,直线
与该二次函数图象有一个公共点,则
;其中正确的有( )个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c875fb49381bbac540abbc2dca8c01b7.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | 1 | ![]() |
![]() | ![]() | ![]() | 0 | ![]() | 0 | ![]() | ![]() | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365d218f0abd54e1184983e0fe4367c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da04f641c850a75a63031d5aed2e0625.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee42b4ce15183fa6db39e2edc1b64080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a7215cf9e5b987d5c15cf3b70bdb03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead6a3dbd03539ef5e0807be57bb1e17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3214ed8087093349b873d29afeb79b7.png)
A.1 | B.2 | C.3 | D.4 |
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【推荐1】如图,二次函数
的图像的顶点在第一象限,且过点
和
,下列结论:①
,②
,③
,④
,⑤当
时,
.其中正确结论的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2a5e336b6bcba6354fd366c892dd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ed37ee7432002cd0e0978b2012e184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc7a2655bb04e352555c3905b718de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4b5eefee995578265a8a56265033732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e84dbb03e8c627ff11d5c7aeb0c8b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc3e5be1796493161a4df7e28a6f6b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/27/8a712bd8-cef1-4c9e-97e7-6179123217a5.png?resizew=154)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】已知二次函数
的部分图象如图所示,图象经过点
.其对称轴为直线
下列结论:①
;②若点
,
均在二次函数图象上,则
;③若关于x的一元二次方程
没有实数根.则
;④满足
的x的取值范围为
.⑤对于任意实数m,总有
;其中正确结论的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb51b245cda07bafcde68f346289d3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589a4d5f5fb135a3144644595774b896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da04f641c850a75a63031d5aed2e0625.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5ea487b626b2da71c780f98d63ced6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06dd57f2e9c371aae51f46915a5363d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d0d67a81e40243b57f2571d2c02bd84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eddb619920e68bf33294dcebc9c7c8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7690e5520478eec7e545323e92b2f90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84bbc62c76daac391ddc4ce2d6078948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7248b0d58940e36966c981f1924bfe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/20/e6e9df06-4eda-42ce-a7e5-18a5c3b4ba33.png?resizew=166)
A.2个 | B.3个 | C.4个 | D.5个 |
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【推荐1】抛物线
(
,
,
为常数,
,
)经过点
,
,有下列结论:
①一元二次方程
的两个根为
,
;
②若点
,
在该抛物线上,则
;
③对于任意实数
,总有
;
④
.
其中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e4cc00c283519973f7f8e1274b5c733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcbcd0aebdd8bd688d108834747009f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
①一元二次方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fa32c1e926f40a0722d106563777ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e17ff0a5e5605747c4c6d9f7bb5165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eba583e37243f3ba166bd1c11e58498.png)
②若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41631d8fbbd5374449ddfbf997a98485.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1847d6f468fa262e24a72ffc1e919c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
③对于任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db4cfc67e51747af1aa25c4bf007d1c.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8668bee63252a2963a8687c09f468ca.png)
其中正确的有( )
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】如图,二次函数
图象的顶点为D,其图象与x轴的交于点A、B,与y轴负半轴交于点C,且方程
的两根是-1和3.在下面结论中:①abc>0;②a+b+c<0;③c+3a=0;④若点M(
,m)在此抛物线上,则m小于c.正确的个数是( )
![](https://img.xkw.com/dksih/QBM/2019/12/9/2351490695585792/2352356676804610/STEM/9a88b07850c742f68d3d5be7ca443aef.png?resizew=126)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d92dc7f59572fc5aeba24c37ef09a3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fa32c1e926f40a0722d106563777ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://img.xkw.com/dksih/QBM/2019/12/9/2351490695585792/2352356676804610/STEM/9a88b07850c742f68d3d5be7ca443aef.png?resizew=126)
A.1个 | B.2个 | C.3个 | D.4个 |
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