二次函数
的图象的一部分如图所示,己知图象经过点
,其对称轴为直线
.下列结论:①
;②
;③
;④
;⑤点
是抛物线上的两点,若
,则
;⑥若抛物线经过点
,则关于x的一元二次方程
的两根分别为
.其中正确的有__________ (填序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6337d68cd5653767e3a1889b8b2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6554ac3dff4a59833e407db887f6e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77694c11ba40ec5c2fc4f6a05e31a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9deb79d044a379f31a8fc57736d7ead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea840f210f9b5b839edb5d34ee2a4f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f13a64343eaad8b9dca939994e5a18b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71698d9939869df81cf4eb05911a93bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d34764e3d06fe6a5126f751c81a3c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f0cca156a3a2e50c39a9f4f5943f096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d75ac889d4c2577405356fb71fa0eb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/10/e4a2633a-0ff8-441e-9661-84143f2da0ba.png?resizew=178)
更新时间:2024-05-10 17:48:21
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【推荐1】已知点
是抛物线
上一动点.
(1)当点M到y轴的距离不大于1时,b的取值范围是______ ;
(2)当点M到直线
的距离不大于
时,b的取值范围是
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d6bb01f1044358cc5fee441bc62489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1474926e4302dadfde4e3b9c3123589b.png)
(1)当点M到y轴的距离不大于1时,b的取值范围是
(2)当点M到直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d71f015144ffaf1faec94a259b4a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b829d3ded5f93007d3ba22f2a862efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e84f4a651c6faba8b6811cf7d95869d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
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【推荐1】抛物线
的对称轴为直线
,与x轴的一个交点坐标为
,其部分图像如图所示,有下列结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/2/042ec217-3b24-47f2-a87a-d5d4420ac9f7.png?resizew=169)
①当
时,则
,②
, ③当
时, x的取值范围是
, ④当
时, 有
.
其中正确结论的序号为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517b33ccecf510bbd3da224ff375254b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b3c94d505e7c5bcce94afec4af3d92.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/2/042ec217-3b24-47f2-a87a-d5d4420ac9f7.png?resizew=169)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cafe647840cc2ace0d94bdca3c4fb03d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54bc9735d1120c93d4826852640b755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47a8ab31b83609dee7543ac4aec3d068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a417f68c6538bfb63e729c047755b4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87a9ef1f87936695fb681df932efd10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3a9f6a8568f9102858e0c132206736a.png)
其中正确结论的序号为
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【推荐2】如图,抛物线y=ax2+bx+c(a≠0)的对称轴为直线x=﹣1,下列结论中:
①abc<0;②9a﹣3b+c<0;③b2﹣4ac>0;④a>b,
正确的结论是_____ (只填序号)
①abc<0;②9a﹣3b+c<0;③b2﹣4ac>0;④a>b,
正确的结论是
![](https://img.xkw.com/dksih/QBM/2018/11/30/2086673073954816/2089782068731904/STEM/847137a25ab848f7a5ff1d5563e6b500.png?resizew=148)
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