【正文】 0022022 ????????????? ??d z d xxd z d xxdxdzxxzDxzD,24002)2(0000)2(aaa x d yxyDadxx a d x d yxyDd x d yyxyDd x d yxaydydxxzy???? ???????? ???????????444202aaaI ?????o ?1?2 ?3 ?4 ?5 ?6 xyzaaadydxxzydxdzxdzdyzxyI ??????? ????)()( 22另解 ?????? dvxyG au s s )0(公式??? ?? aaa dzyxdydx 000 )(4a?.)()()(:.2222222的外側(cè)球面計(jì)算RczbyaxdydxzdxdzydzdyxI????????????? ???u v w o 2222:,1),(.,RwvuwvuJczwbyvaxu???????????令334)(2)(2),()222222(Rcbad u d v d wcbad u d v d wwvuJcbawvuI?????????????????????對(duì)稱(chēng)性例 3 解 ????????????????d x d y d zzyxdydxzdxdzydzdyxI)222(222.)()()(:.2222222的外側(cè)球面計(jì)算RczbyaxdydxzdxdzydzdyxI????????????? ???u v w o dvducwdudwbvdwdvauIRwvuczwbyvaxu????? ?????????????????2)(2)(2)(.2222:.,令dwdvaudwdvau ?????? ?? ?????? ?22 )()()(:后前而?????dRdad v d wwvRaRD vw???? ????? 0 2220222 44例 3 另解 .:.338023)22(324222RwvDRaRavw?????? ?其中????).(38.38)( ,38)(:33232cbaRIRcdvducwRbdudwbv?????? ????? ????????同樣.0),(,),()1(??????dzdyzyxPyo zxzyxP則面對(duì)稱(chēng)關(guān)于且曲面是偶函數(shù)關(guān)于第二型曲面積分的對(duì)稱(chēng)性 奇偶對(duì)稱(chēng) .),(2),(,),()1(??????????前半則面對(duì)稱(chēng)關(guān)于且曲面是奇函數(shù)關(guān)于dzdyzyxPdzdyzyxPy ozxzyxP)),(2(.0),(,)(),()2(???????????右半則面對(duì)稱(chēng)關(guān)于