已知二次函数
的图象与x轴最多有一个公共点,现有三个结论:①该抛物线的对称轴在y轴的左侧;②关于x的方程
无实数根;③
.其中所有正确结论的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86987fda2f56e39f03bc8c8b8a12ef48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254de3006b5b845c035f4e282fdb958d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7608c3495e34b56618827a31a1ba3c5d.png)
A.①② | B.②③ | C.①③ | D.①②③ |
更新时间:2024-01-11 17:31:02
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【推荐1】如图,抛物线y=ax2+bx+c(a≠0)与x轴交于点(-3,0),其对称轴为直线x=
,结合图象分析下列结论:①abc>0;②2a+c<0;③当m为任意实数时,a-2b≥4am2+4bm;④一元二次方程cx2+bx+a=0的两根分别x1=
,x2=
;⑤
;⑥若m,n(m<n)为方程a(x+3)(x-2) +3=0的两个根,则m<-3且n≥2,其中正确的结论有( )
![](https://img.xkw.com/dksih/QBM/2021/1/15/2636802343387136/2638212569915392/STEM/abbf707e-5f31-417e-9b1c-548b6f4105af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5743a3bf50e8146f519a7b4f32a958b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d55d6cbb4195e39efcf1107557a74ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff998d034284391ca064755fa6bf1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf698ab185f891e539802c2a6ec8b28.png)
![](https://img.xkw.com/dksih/QBM/2021/1/15/2636802343387136/2638212569915392/STEM/abbf707e-5f31-417e-9b1c-548b6f4105af.png)
A.3个 | B.4个 | C.5个 | D.6个 |
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【推荐2】如图,二次函数
图象的一部分与x轴的一个交点坐标为
,对称轴为直线
,结合图象给出下列结论:
①
;②
;③关于x的一元二次方程
的两根分别为3和1;④若点
均在二次函数图象上,则
;⑤
(m为任意实数).
其中正确的结论有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/3/844a688b-53e1-451f-82c0-2e37c7060d71.png?resizew=153)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8352b2e643a7ce605334f1b0e572bfb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/978921b876755d94bebf28c3425e7f46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4236b6131fab1849437a594a811a9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/807d62d0b5623b3bd3cb285560bf8436.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebebb0c4842e85a2cd3ca12a6e10310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8b44c63a912c9f07b80fb8f5bdde7a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5ac443b6af0b9f341ae9f3bf449e368.png)
其中正确的结论有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/3/844a688b-53e1-451f-82c0-2e37c7060d71.png?resizew=153)
A.1个 | B.2个 | C.3个 | D.4个 |
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【推荐1】抛物线y=ax2+bx+c的顶点D(﹣1,2),与x轴的一个交点A在点(﹣3,0)和(﹣2,0)之间,其部分图象如图,则以下结论:①b2﹣4ac<0;②a+b+c>0;③c﹣a=2;④方程ax2+bx+c﹣2=0有两个相等的实数根.其中正确的结论是( )
A.③④ | B.②④ | C.②③ | D.①④ |
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【推荐2】二次函数
的部分图象如图所示,其顶点坐标为
,且与
轴的一个交点在
和
之间,则下列结论:①
;②
;③当
时,
随
的增大而增大;④若
是抛物线上的两点,则
;⑤一元二次方程
有两个不相等的实数根.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/26c9e6536dd347d9079bee07eaf4580c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c3a2f5b0702ea9fbb9dc8904579737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ed24bfcc37b79fe9ca61ed8fdf26ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f2e8b5365c2f086a02e5dd3c3bd116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da68ff94b0877adb96abbc3e0fa52d86.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://staticzujuan.xkw.com/quesimg/Upload/formula/e5cda03bcfd8dd6b756442b02f839630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e5d55b3906494569b9aef9e5afc059f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/17/215df1a7-11a7-4d2c-9b97-feab9c423d2a.jpg?resizew=200)
A.1 | B.2 | C.3 | D.4 |
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