抛物线
(
、
、
为常数,且
)的对称轴是直线
,与
轴的一个公共点的坐标为
,部分图象如图所示,下列结论:①
;②方程
的两个根是
,
;③
;④当
时,
的取值范围是
;⑤当
时,
随
增大而增大.其中结论正确的个数是( )
![](https://img.xkw.com/dksih/QBM/2022/4/13/2957164907446272/2961577721315328/STEM/9c612616-5df9-46f7-bab5-0ce0b6609618.png?resizew=160)
![](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/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77cd56f685d11f1906c77715c222f284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f258e2481aa0a861dde26dfbcf685cc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fa32c1e926f40a0722d106563777ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4049b329e8cf711663e050e0dc9cdea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e4fd085ee10f340a008389c4a1a80d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da04f641c850a75a63031d5aed2e0625.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16589640a4b86c5c10620b267884982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2022/4/13/2957164907446272/2961577721315328/STEM/9c612616-5df9-46f7-bab5-0ce0b6609618.png?resizew=160)
A.4个 | B.3个 | C.2个 | D.1个 |
更新时间:2022-04-20 11:39:19
|
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【推荐1】如图是直线
(a,b,c是常数且
,
,
),则抛物线
和双曲线
在同一平面直角坐标系中的图象可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba87a223b90ee387759c7ca16fdecdb1.png)
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A.![]() | B.![]() |
C.![]() | D.![]() |
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【推荐2】如图,一条抛物线与x轴相交于M、N两点(点M在点N的左侧),其顶点P在线段
上移动,若A、B的坐标分别为
,点M的横坐标的最小值为
,则点N的横坐标的最大值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/4/de4f75da-1155-4a39-be99-c2a3fa671a5a.png?resizew=164)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/4/de4f75da-1155-4a39-be99-c2a3fa671a5a.png?resizew=164)
A.3 | B.4 | C.5 | D.6 |
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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)
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A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】已知二次函数
的图象如图,对称轴
,分析下列六个结论:①
;②若
,则
;③
④
⑤
为实数)其中正确的结论有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/13/60412dfc-f751-4d16-a4b7-2300e4c6f566.png?resizew=222)
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A.①③④⑤ | B.④⑤ | C.①②③④ | D.③④ |
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【推荐1】已知二次函数y=ax2+bx+c(a≠0)的图象如图,给出以下结论:①b2>4ac;②abc>0;③2a﹣b=0;④8a+c<0;⑤9a+3b+c<0,其中结论正确的有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/f1ef2911-8dce-4e55-93e4-8647224a58d3.png?resizew=200)
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A.2个 | B.3个 | C.4个 | D.5个 |
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【推荐2】如图,抛物线
=
与
轴交于点
,其对称轴为直线
,结合图象分析下列结论:
①
; ②
;
③
>0; ④当
时,
随
的增大而增大;
⑤
≤
(m为实数),其中正确的结论有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/a121fb07-3c51-4bda-b20e-b081e6ec2586.png?resizew=138)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c98a7f3a8bf384b1dfc1d34aebd46d2.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da04f641c850a75a63031d5aed2e0625.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f655488e576386a0c4dfa273afde46fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145fe0c6391d72fa602fbf1366c4b1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f945597c5861a7d59de46d8a2a1da48.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7655c6db53cb632fc7e948af9bb23d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ec08be6e5edde3502faba89bb505e0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/a121fb07-3c51-4bda-b20e-b081e6ec2586.png?resizew=138)
A.2个 | B.3个 | C.4个 | D.5个 |
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【推荐1】下列抛物线中,与x轴无公共点的是( )
A.y=x2-2 | B.y=x2+4x+4 | C.y=-x2+3x+2 | D.y=x2-x+2 |
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【推荐2】二次函数y=ax2+bx+c(a≠0)和正比例函数y=﹣
x的图象如图所示,则方程ax2+(b+
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