已知抛物线
的对称轴为直线
.
(1)求抛物线的顶点坐标;(用含a的代数式表示)
(2)若点
,
在抛物线上,试比较
与
的大小;
(3)若
,与其对应的函数的最大值为
,求b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16403fc9b29d6d8e814318ee24a9dc05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/3/908e5f41-9f81-4c74-8ddd-1e83daa67e26.png?resizew=249)
(1)求抛物线的顶点坐标;(用含a的代数式表示)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c2eb355f7ef7cf615758eb0c84beb85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a5fef5f1b02f74d479883e34f551a19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6343069217cd6d8dd32446da428dae46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/692dd94d669550f39671ee5ff7558dbc.png)
更新时间:2024-03-03 22:10:05
|
【知识点】 y=ax²+bx+c的图象与性质解读
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适中
(0.65)
名校
【推荐1】已知直线
经过点
,与抛物线
的对称轴交于点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e85c067dfa895fd4d20776bee3406504.png)
(1)求
,
的值;
(2)抛物线
与
轴交于
且
,若
,求
的最大值;
(3)当
时,抛物线
与直线
有且只有一个公共点,直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6767830cc1811f0f4ea5a008fdc7e723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e59da5115d0dafea24822245f92c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e85c067dfa895fd4d20776bee3406504.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e59da5115d0dafea24822245f92c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a45e46d9973eff6fea252bd5ba2b078.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf1cc665c02bac4989723491bc420d79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c4d2dd2de134e6ff5486e756e81c717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cafe647840cc2ace0d94bdca3c4fb03d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e59da5115d0dafea24822245f92c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6767830cc1811f0f4ea5a008fdc7e723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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解答题-问答题
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适中
(0.65)
【推荐2】已知抛物线
的对称轴为
轴,且过点
.
(1)求此抛物线的解析式;
(2)若点
与
在此抛物线上,则
________
(填“
”、“”
或“
”)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e59da5115d0dafea24822245f92c48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab486b4b34e908b286f153fa0641858d.png)
(1)求此抛物线的解析式;
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d4727be698260530f2328bd51751c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0727dd036ee5bad54e4016f0ec2ed240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392cdb9d30684cce244bef94b8d861b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
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