数学分析数学分析PPT (10).pdf
《数学分析数学分析PPT (10).pdf》由会员分享,可在线阅读,更多相关《数学分析数学分析PPT (10).pdf(10页珍藏版)》请在淘文阁 - 分享文档赚钱的网站上搜索。
1、?1?kjia15203?f x y z(,)fgrad)(diva f?1?f x y zxyz(,)()?22212?2?f x y zxyz(,)?222?3?f x y zxyz(,)ln()?222?1?)()(grad23222kjizyxzyxf?)15203()()(div23222zyxzyxf?a?2?)(2gradkjizyxf?)15203(2)(divzyxf?a?3?)()(2grad1222kjizyxzyxf?)15203()(2)(div1222zyxzyxf?a2?kjia222zyx?xyz2221?)0,0,0(1:222.?PzyxzyxFFP?dxd
2、yzdzdxydydzx222?84)1(10320222?8?FFFFFFPPdrrddxdyyxdxdyzxy?822?FFFFPPdzdxydydzx?83222?FFPdxdyzdzdxydydzx?3?kjirzyx?|r?r?1?0)(div?rrf?f r()?2?0)(divgrad?rf?f r()?1?rxrfrfxxrf2)()()(?II?,)()()(2ryrfrfyyrf?IIrzrfrfzzrf2)()()(?II?)()(3)(divrf rrfrf?r?1?0)(div?rrf0)()(3?rf rrf?3)(rcrf?c?2?)()(rfrxxrf?II?)
3、()(rfrxxrf?II?)()(rfrxxrf?II?)()()(22322rfrxrfrxrrfrxx?()$%&II?)()()(22322rfryrfryrrfryy?()$%&II?)()()(22322rfrzrfrzrrfrzz?()$%&II?2divgrad()()()f rfrfr?r?0)(divgrad?rf?0)()(2?rf rrf?12()cf rcr?21,cc4.?2?2)ln(21gradrcrc?ckjirzyx?0?2rc?),(321ccc?c)ln(21rcrc2?2?u?)(2,)(2,)(2332211rcrcrc2?II2?II2?IIccz
4、uccyuccxu?rcccrcrc2?2?221)ln(21grad?5.?()$%&?xyarctangrada?1?()?(),xyz?2212201z?2?xyz224?,z?()$%&?xyarctangrada221(,0y xxy?)?22222rot0yzyxxyxyIII?III?0ijka=x?z?1?22(,)(2)(2)1,0Lx y zxyz?z?22(,)(2)(2)1,0 x y zxyzP?Stokes?zP?drotdLP2?2?FFFasaS0?2?2cos,2sin,0 xyz88?22dLLxdyydxxy?2?FFas202d?8?F?6.?)(kji
5、r?xyz?M(,)132?kjin22?rot()()()x zyy xzz yxxyzxyzxyzxyzIII?IIIijkri?jk?)(rotM?43?)(kjir?xyz?M(,)132?n?2PFPI?Prr dmM)(1lim)(rotM?31?2nn?7.?kjiazyxaaa?f x y z(,)aaaxy,zf?1?0)div(rot?a?2?0?)(gradrotf?3?aaa:?)(rotrot)grad(div?1?rotyyxxzzaaaaaayzzxxyII&)&IIII&)?$IIIIII%(%(%ai)(jk?zyxaaa,30)div(rot?()$%&II
6、?IIII?()$%&II?IIII?()$%&II?IIII?yaxazxazayzayaxxyzxyza?2?rot(grad)fyzfffxyzIII?IIIIIIIII0 xijk?3?kajaiaazyxII?II?II?divdivdiv)grad(divji()$%&III?II?III?()$%&III?III?II?zyayayxazxayxaxazyxzyx22222222k()$%&II?III?III?2222zazyazxazyx?kjia()$%&II?II?()$%&II?II?()$%&II?II?yaxaxazazayaxyzxyzrot?=)(rotrota
7、i()$%&III?II?II?IIIzxazayayxazxxy222222kj()$%&III?II?II?III?()$%&III?II?II?III?zyayaxazxayxaxazazyayzzxxyyz222222222222?akjiaa:?:?:?:?zyxaaa)(rotrot)grad(div?8.?q?)(430kjiEzyxrq?1?rxyz?222?10?Erot?0334433?()$%&II?()$%&IIryzryzryzrzy?33xzzrxrII&)&)?$II%(%(44330zxzxrr?33yxxryrII&)&)?$II%(%(44330 xyxyr
8、r?rot,(,)x y z?E00?49.?akjirzyx?1?0)(?D2Qra?2?ara2)(?DDQ?3?ararr2?22Q2)(?1?zyxaaazyxzyxIIIIII?D2Q)(ra0)()()(?I?I?I?I?I?I?zxayayzaxaxyazayxxzzy?2?()yzzxxyxyza za ya xa za ya xIIIQDD?III?ijkar2()xyzaaa?ijka2?3?222()()()()2yxza ya xa zxyzIIIQ22?2IIIr r ar a?10.?()?()(xyz dxyxz dyzxy d222222?)z?kjia)2()
- 配套讲稿:
如PPT文件的首页显示word图标,表示该PPT已包含配套word讲稿。双击word图标可打开word文档。
- 特殊限制:
部分文档作品中含有的国旗、国徽等图片,仅作为作品整体效果示例展示,禁止商用。设计者仅对作品中独创性部分享有著作权。
- 关 键 词:
- 数学分析数学分析PPT 10 数学分析 PPT 10
限制150内