如图,抛物线
与x轴交于点A、B,把抛物线在x轴及其上方的部分记作
,将
向右平移得
,
与x轴交于点B、D.若直线
与
、
共有2个不同的交点,则m的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754f9ba9b45bc506c5b8014db9935c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
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22-23九年级下·江苏苏州·开学考试 查看更多[2]
更新时间:2023-03-08 21:02:18
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【推荐1】如图,在平面直角坐标系中,抛物线
可通过平移变换向__________ 得到抛物线
,其对称轴与两段抛物线所围成的阴影部分(如图所示)的面积是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aafae84e7fe39dc5b694c39405201d32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c01b04c18e51f796342a29b12721048a.png)
![](https://img.xkw.com/dksih/QBM/2018/6/25/1974975405080576/1976262148268032/STEM/1c9f5d005a584d84a5c77ce03509e4e2.png?resizew=159)
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【推荐2】定义:我们将顶点的横坐标和纵坐标互为相反数的二次函数称为“互异二次函数”.如图,在正方形
中,点
,点
,则互异二次函数
与正方形
有交点时m的最大值和最小值的差为____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/132de9682ce9a412b7b517aa209726ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad9fbf25ac72cff73cf252333170709.png)
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【推荐1】抛物线y=ax2+bx+c的顶点为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,其中正确结论的个数为________ 个.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/18/62fb7357-703d-42a3-a8ce-eee57ce2def8.png?resizew=200)
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【推荐2】抛物线
,
,
为常数,
经过
,
两点,下列四个结论:①点
,
,
,
在抛物线上,若
,
,则
.
②一元二次方程
的根为
,
;
③对于任意实数
,总有
;
④对于
的每一个确定值,若一元二次方程
为常数,
的根为整数,则
的值只有两个.其中正确的结论是____________ (填写序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/729358c8511d239e3c26e00fa4711bb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01437b31b57b442d0c6bd5b0ca8bf61e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d295a4cc3a58f9f38ee98337313c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/428426e7f2ee0502b555a87a5cef6cb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a54e0b4872cabdc0b07ea9380e4de5.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8e72f73db207c3040f143d837d5995.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
②一元二次方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90bf45f18d95ba729ad9e53f03c5d76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195fc747e2fc50cb6df2c844d51e4d80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9738bade4cd111c805a4e540115e26ed.png)
③对于任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db4cfc67e51747af1aa25c4bf007d1c.png)
④对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f97cc027f00e2c3ade3ed25fd87f1bed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9f5f0f5039c65d4a24d098cce90db77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
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