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关于考研数学中利用二重积分求旋转体体积的探究

Author(s)：
荆会超郝鑫灵

Publication Title：

Wen Yuan (High School Edition) 2025 No.10

Affiliations：
郑州西亚斯学院计算机与软件工程学院

Abstract：
求旋转体体积是考研数学中的一个重要知识点，也是高等数学中的核心应用题型之一。在高等数学的教材中，只介绍了定积分的微元法和公式法求旋转体的体积，这类方法学习起来较为困难，且根据平面图形是X型或Y型绕坐标轴旋转，类型繁多.本文将探究如何利用二重积分求旋转体的体积，这种方法不局限于特定的旋转轴，不仅公式统一，且计算方便、更易于学习。

Keywords：
二重积分；旋转体；体积

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[1] 荆会超,郝鑫灵.关于考研数学中利用二重积分求旋转体体积的探究[J].Wen Yuan (High School Edition),2025(10),.

文渊(高中版)

Wen Yuan (High School Edition)

Language: 中文

CN：11-9276/G

ISSN：2096-6288

Publication Frequency: 月刊

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