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高数 | 旋转体体积计算方法汇总、二重积分计算旋转体体积
2022-07-05 16:23:00 【西皮呦】
所谓旋转体，指的是一个平面图形绕着该平面中的某一条直线旋转一周而形成的立体图形，旋转体体积则是该立体图形的体积.
一、旋转体体积计算方法
高数 | 定积分的应用 柱壳法 圆柱法_西皮呦的博客-CSDN博客_定积分应用柱壳法
二、其他类型旋转体体积计算方法
1.两条曲线围成区域绕x轴的旋转体体积（不相交)
2.两条曲线围成区域绕y轴的旋转体体积（相交)
3.平面图形绕y轴的旋转体体积计算
4.旋转轴不是坐标轴的类型
考研范围内，旋转轴即便不是横纵坐标轴，也是和坐标轴平行的直线.
有两种方法处理：微元法和平移法.
三、二重积分计算旋转体体积
高数 | 【重积分】经典题 及 李林880详解_西皮呦的博客-CSDN博客
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