名校
解题方法
1 . 已知圆锥的底面半径为3,母线长为5,在圆锥内部放置一个内接圆柱(圆柱的一底面与圆锥的底面重合),
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/30/79867704-0194-4304-9791-5855dac16fcd.png?resizew=124)
(1)求圆柱的体积V与其底面半径r的函数关系式;
(2)求圆柱的体积V最大值.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/30/79867704-0194-4304-9791-5855dac16fcd.png?resizew=124)
(1)求圆柱的体积V与其底面半径r的函数关系式;
(2)求圆柱的体积V最大值.
您最近一年使用:0次
解题方法
2 . 如图,圆形纸片的圆心为
,半径为5,该纸片上的正方形
的中心为
,
,
,
,
为圆
上的点,
,
,
,
分别是以
,
,
,
为底边的等腰三角形,沿虚线剪开后,分别以
,
,
,
为折痕折起
,
,
,
,使得
,
,
,
重合,得到四棱锥,设
.
![](https://img.xkw.com/dksih/QBM/2021/4/30/2710973393297408/2785502317985792/STEM/195bbefee9ae4db3b774332ff4a04e1e.png?resizew=174)
(1)试把四棱锥的体积
表示为
的函数;
(2)
多大时,四棱锥的体积最大?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6830ebecddbd9759be626289c408e4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5090091503f9c176630ba736fd42e67c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac78ba10bed6d3398f0aea9a359298b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14b86b8bf99386fc939c9c12b1355ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6a0c85deb80d8e63bc60127e803f7ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d3d0eb5033147915c20ca6b86811ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac78ba10bed6d3398f0aea9a359298b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5fec3537f9b80e703c213e3b8b2ef33.png)
![](https://img.xkw.com/dksih/QBM/2021/4/30/2710973393297408/2785502317985792/STEM/195bbefee9ae4db3b774332ff4a04e1e.png?resizew=174)
(1)试把四棱锥的体积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
解题方法
3 . 如图,四边形
为正方形,
平面
,
,
于点
,
,交
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/78eb1398-2148-4635-9130-c6c79892702b.png?resizew=168)
(1)证明:
平面
;
(2)已知
,求四面体
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c365f95c596063496e3aef07c179a77c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4486d52b6e410fd7b60428121d96cef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd8a97f37156cec6592795da3941f87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/78eb1398-2148-4635-9130-c6c79892702b.png?resizew=168)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2990ef24039c6be7643cb582062503a.png)
您最近一年使用:0次
2021-03-22更新
|
843次组卷
|
2卷引用:河南省洛阳市第一高级中学2020-2021学年高二下学期3月月考数学(文)试题