二次函数y=ax2+bx+c(a≠0)的部分图象如图,图象过点(﹣1,0),对称轴为直线x=2,下列结论:①4a+b=0;②9a+c>3b;③4a+2b≥am2+bm(m为任意实数);④当x>﹣1时,y的值随x值的增大而增大;其中正确的结论有_____ (填序号).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/27/ad12c362-9c7d-4ce9-97b1-58e92eea418d.png?resizew=129)
更新时间:2021-04-23 20:15:45
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【知识点】 根据二次函数的图象判断式子符号解读
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【推荐1】如图,二次函数y=ax2+bx+c(a≠0)图象的顶点为D,其图象与x轴的交点A,B的横坐标分别为﹣1,3,与y轴负半轴交于点C.以下五个结论:①2a+b=0;②a+b+c>0;③4a+b+c>0;④只有当a=
时,△ABD是等腰直角三角形;⑤使△ACB为等腰三角形的a的值可以有两个.那么,其中正确的结论是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/9/8ec5450b-6f48-4eb9-9423-0d0029b207ce.png?resizew=218)
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【推荐2】如图,二次函数
(
).图象的顶点为
,其图象与
轴的交点
的横坐标分别为
,下面四个结论:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1c9ae241fd78126274c65e17990c88.png)
;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c650fe55b7603f106c53ca2423451c6.png)
;
只有当
时,
是等腰直角三角形;
使
为等腰三角形的
的值可以有三个.那么,其中正确的结论是______ .(只填你认为正确结论的序号)
注:二次函数
(
)图象的顶点坐标为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d3db45c8d7a71601c6aea17bf8c218d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbc9f75d19b8def99c5bd8429a2d2341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1c9ae241fd78126274c65e17990c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa285de4d015f208441ffe9a84bbd780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c650fe55b7603f106c53ca2423451c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e7ef804eeb23618fbf91ead47587f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82e415812cca9545611c0faa0c01b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8b8edd94bc4d5d517ec77e56800e41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b40c2b0ab8e1cfe5112d428b4b829f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
注:二次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d3db45c8d7a71601c6aea17bf8c218d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/19/97aaa424-4140-45f9-af17-63c4285c8f16.png?resizew=183)
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