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第一型曲線積分與曲面積分的一些問(wèn)題
第1型曲線積分與曲面積分的1些問(wèn)題
摘 要
本文歸納研究了第1型曲線積分與曲面積分的物理背景，定義，性質(zhì)及計(jì)算方法，并在此基礎(chǔ)上給出了它們?cè)谔厥庾鴺?biāo)變換下的計(jì)算公式及證明。并且利用這個(gè)公式，推導(dǎo)出了當(dāng)?shù)?型曲線積分或曲面積分的被積函數(shù)為奇函數(shù)或偶函數(shù)，積分曲線或曲面是對(duì)稱的時(shí)的幾個(gè)重要的推論及證明。
關(guān)鍵字：第1型曲線積分與曲面積分；坐標(biāo)變換；奇偶性；對(duì)稱性。
Some questions about curve integral and surface integral of the first kind
Abstract
In this article we induce and study the physical background ,definition, quality ,and calculating method of the curve and surface integral of the first kind ,and at the base of these , calculate formula and providence was proposed in the special coordinate transformation. Using this formula ,we get several important inference and prove that when the curve and surface integral of the first kind’s integrand is odd function or even function and the integral curve or surface is symmetry.
Key word: Curve integral and surface integral of the first kind; coordinate transformation; odevity; symmetry
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