已知二次函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee4acbd3bdef88e7164284b0bf64147.png)
(1)若
当
时,y的最小值为
y 的最大值为4,求
的值;
(2)若该二次函数的图象经过点
和
, 当
时,y的最大值与最小值的差8,求m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee4acbd3bdef88e7164284b0bf64147.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb1c5e4f983365c4f72909ceba04426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44261bc6891f81e7188662800427d768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ec353a5e5427bb24b1d63a813dd349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(2)若该二次函数的图象经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93446e0105a1e10b9ae4583b0fb15e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de56d797a450af3ed7ef6b4c9027c299.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a2978de5f539920fd53703b3368d934.png)
更新时间:2024-03-27 13:20:41
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适中
(0.65)
【推荐1】如图,经过
,
两点的抛物线
与
轴的另一个交点为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/9/92c039d2-049d-49ff-abc6-5be129883cc7.png?resizew=139)
(1)求抛物线的解析式;
(2)已知点
在抛物线上,求
时的点
坐标;
(3)点
在抛物线的对称轴上,当
的周长最小时,求
的坐标;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ef03f452410ab19c6246567c427178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae140e4db2c5563e5f902fcbebaac262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8794fdd5b979fa369ac350d063f631d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/9/92c039d2-049d-49ff-abc6-5be129883cc7.png?resizew=139)
(1)求抛物线的解析式;
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cecdc5d3d0877e26d21384d8c315e817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(3)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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【推荐2】如图,直线
与x轴、y轴分别交于
两点,抛物线
经过B、C两点,且与x轴交于点A.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/30/4c847792-d7e8-4666-a67e-9d928b77c6ef.png?resizew=432)
(1)求该抛物线的函数表达式;
(2)已知点M是第一象限内抛物线上的一个动点,过点M作
平行于y轴交直线
于点N,连接
,求四边形
面积S的最大值,并求出此时点M的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda4437c5d87b517d3abf0309fb758c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb98b39e438268b8f18429ca05799fac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/30/4c847792-d7e8-4666-a67e-9d928b77c6ef.png?resizew=432)
(1)求该抛物线的函数表达式;
(2)已知点M是第一象限内抛物线上的一个动点,过点M作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fe7df4f8b37b7a7fb53a527d3903f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cab3e0100e6788858ab43861933dd248.png)
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适中
(0.65)
【推荐1】若二次函数
与x轴只有一个交点,且经过
和
.
(1)用含a的代数式表示m;
(2)若点
也在该二次函数的图象上,求该二次函数的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5692cf462e0b8558593b9b4cedd609f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7903097d9663549d86e6267da59537a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d58a2b5387198bb7a67fc5a4623b3ae1.png)
(1)用含a的代数式表示m;
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efea8108d2ac16df9a0f78c129fc88ae.png)
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名校
【推荐2】如图,抛物线
与x轴的两个交点坐标为
、
.
的函数表达式;
(2)矩形
的顶点
在
轴上(
不与
重合),另两个顶点
在抛物线上(如图).
①当点
在什么位置时,矩形
的周长最大?求这个最大值并写出点
的坐标;
②判断命题“当矩形
周长最大时,其面积最大”的真假,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d8de071a9c22c96a59b172d76c127e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ef03f452410ab19c6246567c427178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d8de071a9c22c96a59b172d76c127e.png)
(2)矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ac79e422ba4876949f0514c44539b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/817610b69f5f7d96bdfc834d1dd699cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/817610b69f5f7d96bdfc834d1dd699cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1051ef731f266dbf72ccb19dc222bf2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c09d7e5cdd0670cfabbc6a3b4ae9ed.png)
①当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ac79e422ba4876949f0514c44539b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a695bf7da6d1d18e05df1726021eff.png)
②判断命题“当矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ac79e422ba4876949f0514c44539b1.png)
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