名校
1 . 某市为庆祝建党100周年,举办城市发展巡展活动,巡展的车队要经过一个隧道,隧道横断面由一段抛物线
及一个矩形
的三边组成,尺寸如图(单位:
).
![](https://img.xkw.com/dksih/QBM/2021/11/9/2847578336075776/2913601303330816/STEM/2c5122ae-cfaa-4094-b91d-cb35c02ffaff.png?resizew=453)
(1)以隧道横断面抛物线的顶点
为原点,以抛物线的对称轴为
轴,建立如图所示的平面直角坐标系
,求该段抛物线
所在抛物线的方程;
(2)若车队空车时能通过此隧道,现装载一集装箱,箱宽
,车与集装箱总高
,此车能否安全通过隧道?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57280f68600fc086709d8a626d8126c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f0d0e78101fef36a75b70ac7e7cf5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://img.xkw.com/dksih/QBM/2021/11/9/2847578336075776/2913601303330816/STEM/2c5122ae-cfaa-4094-b91d-cb35c02ffaff.png?resizew=453)
(1)以隧道横断面抛物线的顶点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57280f68600fc086709d8a626d8126c5.png)
(2)若车队空车时能通过此隧道,现装载一集装箱,箱宽
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36b51b654efcff60d2d640b9b4c4471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3a8761dd1abc553e222ce5db621979.png)
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2022-02-10更新
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318次组卷
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4卷引用:广西钦州市浦北中学2022-2023学年高二上学期期中考试数学试题