数学与建筑的结合造就建筑艺术,如图,吉林大学的校门是一抛物线形水泥建筑物,若将校门轮廓(忽略水泥建筑的厚度)近似看成抛物线
的一部分,其焦点坐标为
.校门最高点到地面距离约为18.2米,则校门位于地面宽度最大约为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/11/ccfcf9ca-4e53-47f5-a2ca-97c4f11e4371.png?resizew=231)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf210c8c9e83e70f2d3ede1e18a5f3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1803dc3c76fd2b51696647aa18602412.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/11/ccfcf9ca-4e53-47f5-a2ca-97c4f11e4371.png?resizew=231)
A.18米 | B.21米 | C.24米 | D.27米 |
22-23高二下·吉林长春·开学考试 查看更多[6]
吉林省长春市实验中学2022-2023学年高二下学期期初考试数学试题(已下线)专题22 抛物线-1(已下线)河北省石家庄市2023届高三质量检测(一)数学试题变式题1-5(已下线)第05讲 3.3.1抛物线及其标准方程(8类热点题型讲练)-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第一册)(已下线)3.3 抛物线(精讲)-2023-2024学年高二数学《一隅三反》系列(人教A版2019选择性必修第一册)(已下线)专题13 抛物线的标准方程5种常见考法归类-【考点通关】2023-2024学年高二数学高频考点与解题策略(苏教版2019选择性必修第一册)
更新时间:2023-03-10 18:40:18
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【推荐1】已知抛物线的对称轴为x轴,顶点在原点,焦点在直线2x-4y+11=0上,则此抛物线的方程是( )
A.y2=-11x | B.y2=11x | C.y2=-22x | D.y2=22x |
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【推荐2】已知点
与抛物线
的焦点的距离是
,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a3619ccbcf65312754a970647014e5.png)
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A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐1】某学习小组研究一种如图1所示的卫星接收天线,发现其轴截面为图2所示的抛物线形,在轴面内的卫星信号波束呈近似平行的状态射入,经反射聚焦到焦点
处,已知卫星接收天线的口径(直径)为
,深度为
,则该卫星接收天线轴截面所在的抛物线的焦点到顶点的距离为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/11/ce2b483c-aee5-4aed-9b29-dcf9ebae1957.png?resizew=263)
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A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】如图是抛物线拱形桥,当水面在
时,拱顶离水面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
,水面宽![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4630b9ca3d20635161fa8fbf812b9128.png)
,若水面上升![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66577f4cb97c0d2a213ab1a9a02d1324.png)
,则水面宽是( )(结果精确到![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87796ee30e6c5d5e6b6285b32abe10c.png)
)
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