二次函数
(
为常数,
)的图象开口向下,与
轴交于
和
,且
.有下列结论:①
;②
;③若方程
有两个不相等的实数根,则
;④当
时,若方程
有四个根,则这四个根的和为
,其中,正确结论的______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b67c623950b5795d5fb4daeb8102a8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c77c9901c181bdff6ee60ab584303551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c98c2fc5fe2dd8f4f5ed2ab6efa99a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a304db758228849033b1645d1333a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a3baf3050d0514f2fac97fda89653f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff736357b8b9ebfaf6b0008a33c61532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0eb96ca1fb046ce692c2ae39d926980.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/529709040fa0a98ce729428f6cec8db8.png)
更新时间:2024-01-02 14:02:42
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【推荐1】已知二次函数
经过点(0,4),当
时,抛物线上的点到x轴距离的最大值为8,则b的值为________________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c468dc5cc34c14a188493a21019e8f83.png)
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【推荐2】如图,在平面直角坐标系中,抛物线
与
轴的交点坐标为
,设该图象上任意两点的坐标分别是
、
,其中
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时
的最大值与最小值的差.若
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的取值范围是______ .
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【推荐1】已知二次函数
的图象如图所示,给出以下结论:①
>
;②abc>0;③
;④
<
;⑤
>
,其中结论正确的是__________ .(填正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a881309775c3b6a9f4ed408838666342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7bd5a1f39aec3afdcdc9aebedff4998.png)
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【推荐2】如图,已知顶点为(-3,-6)的抛物线
经过点(-1,-4),则下列结论:①
②
③若点
在抛物线上,则
④关于
的一元二次方程
的两根为-5和-1 ⑤
,其中正确的有__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/375386102cba5bfd93bdf340216eb22d.png)
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【推荐1】二次函数
的图象经过点
,且与
轴交点的横坐标分别为
,
,
.下列结论中:①
;②
;③
;④
;⑤
.正确的有__________ (写出所有正确结论的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27cf818dd484cc4cebd40a5f28eb8e9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a79303098aa255f4bf321752a5ad9bbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d01c545537e6330e36a618706d7b92.png)
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【推荐2】如图,二次函数y=ax2+bx+c(a>0)的图象与x轴交于A,B两点,与y轴的正半轴交于点C,它的对称轴为直线x=﹣1,有下列结论:①abc<0;②4ac﹣b2<0;③c﹣a>0;④当x=﹣n2﹣2时,y≥c;⑤若x1,x2(x1<x2)是方程ax2+bx+c=0的两根,则方程a(x﹣x1)(x﹣x2)﹣1=0的两根m,n(m<n)满足m<x1且n>x2;其中,正确结论的个数是 _____
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/24/11e74249-1025-407d-9b50-ddf41202bc1e.png?resizew=183)
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