新定义:若一个点的纵坐标是横坐标的2倍,则称这个点为二倍点.若二次函数
(c为常数)在
的图象上存在两个二倍点,则c的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa88d68f89f510007562bab8bb5756c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd5e63fa07bbfcc6d5b1b68716d8c731.png)
更新时间:2022-11-04 16:47:58
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【推荐1】已知二次函数
的图像与
轴交于不同两点,与
轴的交点在
轴正半轴,它的对称轴为直线
.有以下结论:①
,②
,③抛物线上有两点
和
,若
,且
,则
,④设
,
是方程
的两根,若
,则
.其中正确的结论是______ (填入正确结论的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df7fcf82e3fac415783957d0f17448f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77694c11ba40ec5c2fc4f6a05e31a048.png)
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【推荐2】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)
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![](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1】抛物线
(
,
)经过
,
,
三点,且
.下列四个结论:
①
;
②
;
③关于x的一元二次方程
一定有解;
④当
时,若点
在该抛物线上,则
.
其中正确的是_____________ (填写序号).
![](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/f75807858b7804a1ad2039c41f323a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9c0002b13f6cae093cd9dc9f19941b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/758080793e3ca0b8166f840475434aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a915c1a8a9304aeb307d130faaeb15.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a3baf3050d0514f2fac97fda89653f.png)
③关于x的一元二次方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/106075af36f5fbb556ef0835fa3cd75e.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1067e20c7cd52175556650ba6e2dfe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544530e1133b2924ccfbe691141a5641.png)
其中正确的是
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【推荐2】在平面直角坐标系中,将抛物线
绕点
旋转
后,得到抛物线
,定义抛物线
和
上位于
范围内的部分为图像
.若一次函数
的图像与图像
有两个交点,则k的范围是:__ .
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【推荐1】已知二次函数y=x2﹣4x+3,当a≤x≤a+5时,函数y的最小值为﹣1,则a的取值范围是_______ .
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【推荐2】已知关于x的二次函数y=ax2+2ax+a-3在-2≤x≤2时的函数值始终是负的,则常数a的取值范围是____ .
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