直角梯形
如图放置,已知
,
,
,
.现将梯形
绕直线
旋转一周形成几何体.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/48eb7da4-f824-4029-8aa1-bc03715c3415.png?resizew=97)
(1)画出这个几何体的正视图(不写作法);
(2)求这个几何体的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276f64bcfa74b44c5ef5ca88fc8208f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833cfda415649b832cc136caed392753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/48eb7da4-f824-4029-8aa1-bc03715c3415.png?resizew=97)
(1)画出这个几何体的正视图(不写作法);
(2)求这个几何体的体积.
更新时间:2020-02-09 20:12:28
|
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【推荐1】在一个如图所示的直角梯形ABCD内挖去一个扇形,E恰好是梯形的下底边的中点,将所得平面图形绕直线DE旋转一圈.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/7/07cc3c5e-42b8-47e1-9204-7008b085d6b6.png?resizew=117)
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解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐2】如图,
,
,点
是
的中点,
为圆
上的点,
绕
所在的边逆时针旋转一周.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/544df22a-4d54-48b8-98db-227e59c3134e.png?resizew=163)
(1)求
旋转一周所得旋转体的体积
;
(2)求
面积的最大值;
(3)设
,求异面直线
与
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c633830c6e2ac6d8d6e18890ef5ee33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99bcff50afcd6bcc9f01cf41fe078810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf1438142deeac876fc7dc50552e552.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/544df22a-4d54-48b8-98db-227e59c3134e.png?resizew=163)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50e597f9c9d0f6d4ccf34c0e5593df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
您最近一年使用:0次
解答题-问答题
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适中
(0.65)
【推荐1】如图,
,现将半圆内的阴影部分以直径
所在直线为轴旋转一周,得到一空间图形,求该空间图形的表面积和体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0e729ce323eba220ae32d7cf3a98b99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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您最近一年使用:0次
【推荐2】用斜二测画法画一个水平放置的平面图形的直观图为如图所示,已知
,
,
且
.
(1)求原平面图形
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旋转一周,求所形成的空间几何体的表面积和体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9458968b0703e1ae8a6f23386fffba11.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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