如图,已知抛物线
经过原点,与
轴另一交点为
.
![](https://img.xkw.com/dksih/QBM/2019/6/26/2234020301209600/2234106177454080/STEM/ddd13c53311340f786d32f9c2507e6db.png?resizew=164)
(1)求线段
的长;
(2)设抛物线的顶点为
,试求
外接圆圆心的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa990b6bed988fb1fe1487aa2a7d85f4.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/2019/6/26/2234020301209600/2234106177454080/STEM/ddd13c53311340f786d32f9c2507e6db.png?resizew=164)
(1)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
(2)设抛物线的顶点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8189f7b0ffe4d20bf0fad43b4ed589.png)
更新时间:2019-06-26 20:43:33
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【知识点】 图形问题(实际问题与二次函数)
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解答题-作图题
|
适中
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名校
【推荐1】如图,已知正方形ABCD,G为边BC上一点,BE
AG垂足为E,且BE=1,连接DE.
(1)在线段AG上找一点F,使△ABE≌△DAF,请用直尺和圆规作出点F(不写作法,保持作图痕迹);
(2)在(1)的条件下,设EF=x,四边形ABED的面积为y,
①请用含x的代数式表示y;②若y=6,求x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
(1)在线段AG上找一点F,使△ABE≌△DAF,请用直尺和圆规作出点F(不写作法,保持作图痕迹);
(2)在(1)的条件下,设EF=x,四边形ABED的面积为y,
①请用含x的代数式表示y;②若y=6,求x的值.
![](https://img.xkw.com/dksih/QBM/2020/7/15/2506417291919360/2507036724404224/STEM/874331cd05d24f92933e7f1a4eb51e86.png?resizew=117)
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解答题-计算题
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(0.65)
名校
【推荐2】小静同学在手工课上制作了一个容器,经过该容器圆形开口中心点的纵剖面为如图所示的抛物面形,即剖面边沿为一条抛物线.经过测量可知该容器的口径
,最大深度为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/16/ee2fd35d-288c-4b86-93e0-fe7ee7bd1745.png?resizew=165)
(1)在如图所示的平面直角坐标系中,求出抛物线的表达式.
(2)小静同学在制作容器的过程中需要将容器分成三层,因此需要制作两个隔断板,即如图所示的
与
,要求每层的高度一致,即
与
,
与
,
与最低点P之间的距离均相等,同时满足
.请你根据要求计算隔断板
与
的长度.(结果保留2位小数,参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55974c8cd13032431ceb0c19d89f1b84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe9f7abf7bcf4e1aa2579cd191d7761.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/16/ee2fd35d-288c-4b86-93e0-fe7ee7bd1745.png?resizew=165)
(1)在如图所示的平面直角坐标系中,求出抛物线的表达式.
(2)小静同学在制作容器的过程中需要将容器分成三层,因此需要制作两个隔断板,即如图所示的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/226c4062dbfa2a78cf5dfd479cedacdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47bb3f35e3db7c1f3a3dd3eb20151b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dad09268b7cb8bfcbea010cb6d2a29e.png)
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