名校
解题方法
1 . 如图1,北京2022年冬奥会比赛场地之一首钢滑雪大跳台与电力厂的冷却塔交相辉映,实现了它与老工业遗址的有效融合.如图2,冷却塔的外形是双曲线的一部分绕其虚轴旋转所成的曲面.它的最小半径为
,上口半径为
,下口半径为
,高为
.在冷却塔的轴截面所在平面建立如图3所示的平面直角坐标系,设
,
,
,
,则双曲线的方程近似为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/30/9f57c799-ed6c-43c0-a8ec-9d42407433b6.png?resizew=481)
(参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba72febacdc6f1dbc9e0f430de76af0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41b6be1eab1464203483d1a21b53b2e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f9cb3228c2dcbfb4c7c82181ac781a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/288b7125df8de91552357f4b0f656fe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd0c17e357f7058125fd487db9ce1e4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c66628606651b7fe71abc495c17fe468.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b664ea4a10e154130d00e834c95c9c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce9c2000b2a35b7fbe639826541e38e5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/30/9f57c799-ed6c-43c0-a8ec-9d42407433b6.png?resizew=481)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd392a7d691ce77bfe70ffd8a66d2253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/527fe1ab1545e39e6ce71be33025bcb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d450daca28bc8f7e1a995bc51e7c55ea.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-03-30更新
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4卷引用:北京市朝阳区2022届高三一模数学试题
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