数学分析数学分析PPT (2).pdf

《数学分析数学分析PPT (2).pdf》由会员分享，可在线阅读，更多相关《数学分析数学分析PPT (2).pdf（9页珍藏版）》请在淘文阁 - 分享文档赚钱的网站上搜索。

1、?13.2?1?8?0)(.xgM?m?)(xfJ?1?3?)()()()(xMgxgxfxmg?FFFJJJ?dVxgMdVxgxfdVxgm)()()()(?0)(?FJdVxg0)(?FJdVxgMdVxgdVxgxfm?FFJJ)()()(?,Mm?M?M?FFJJdVxgdVxgxf)()()(?FFJJ?dVxgdVxgxf)()()(M?fJJ?5?M5?)(f?FFJJ?dVxgfdVxgxf)()()()(52?(1)?FF?Ddxdyyx2)(FF?Ddxdyyx3)(Dx?y?xy?1?(2)?FF?Ddxdyyx)ln(*FF?Ddxdyyx2)ln(?,?D,3501

2、D?1?D10?yx?32)()(yxyx?FF?Ddxdyyx2)(FF?Ddxdyyx3)(?2?D3xy?.2)ln()ln(yxyx?FF?Ddxdyyx)ln(*FF?Ddxdyyx2)ln(?3?(1)FF?,?Ddxdyyxxy)(D,0101D?(2)FF?Dyxdxdy22coscos100?D(,)|x yxy?10?1(3)dxdxdzxyz122?FFFJ2?(,)|x y z xyz2221?1?D2)(0?yxxy?2)(0?FFDdxdyyxxy?2?D1001coscos1001102122?yx?2coscos1005110022?FFDyxdxdy?3?11

3、121222?zyx?34132222?FFFJzyxdxdxdz?4?(1)FF?,?Ddxdyyyxx)3(323D,0101D?(2)FF?,?Ddxdyxyyx22eD,a bc dD?(3)dxdydzxyz()?FFF3J?,121212DD?1?FF?Ddxdyyyxx)3(323FF?1032310)3(dxyyxxdy1)41(103?Fdyyy?2?FF?Ddxdyxyyx22e?FFdcybaxdyyedxxe22?222241cdabeeee?3?dxdydzxyz()?FFF3JFFFFF()$%&?2122212132121)1(1)2(121)(dyyxyxdxz

4、yxdzdydx125128ln212132412121?()$%&?Fdxxxx?5?(1)?dxf x y dyababaxF F?(,)()(2)dxf x y dyaaax xax022220FF?(,)()?(3)?dxf x y dyx020?F F(,)sin(4)?dyf x y dxdyf x y dxyy01021303F FF F?(,)(,)(5)?dx dyf x y z dzxx y01010F F F?(,)yxz 2?(6)dxdyf x y z dzxxxy?F FF111112222(,)?xyz?1?FFFF?bybaxabadxyxfdydyyxfdx)

5、,(),(?2?22202(,)aaxax xdxf x y dy?FF22202(,)aaayyadyf x y dx?FFFF?aayaadxyxfdy0222),(FF?aaaaydxyxfdy2222),(?3?dxf x y dyx020?F F(,)sin?FF?10arcsinarcsin),(yydxyxfdy?FF?01arcsin2arcsin),(yydxyxfdy?4?FFFF?yydxyxfdydxyxfdy30312010),(),(FF?20321),(xxdyyxfdx?5?dx dyf x y z dzxx y01010F F F?(,)?FFF?101010

6、),(xdyzyxfdxdzFFF?1000),(zxzdyzyxfdxdz?FFFFFF?xxzzxzdyzyxfdxdzdyzyxfdxdz101010110),(),(?6?FFF?111112222),(yxxxdzzyxfdydxFFF?102222),(zzyzyzdxzyxfdydz?6?(1)FF?Ddxdyxy2Dy22?pxxpp?20()?(2)0(2?FFaxadxdyD?D(,)a aa(3)FF?(?DdxdyyxeD,)|x yxy?1?(4)FF?D?Ddxdyyx)(22yx yxa ya?,?)0(3?aay(5)FF?DydxdyD)cos1(),sin(

7、tayttax?)20(?t?x?(6)FF!#+,-?Ddxdyxyyx)(2122e1?D1,?yxy?1?x(7)FF?Dydxdyx20,21,2|),(22xyxxyxyx?.?D 3(8)?xy z dxdydz23JFFFzxy?yx x?,1?z?0(9)dxdydzxyz(13?FFFJ)?xyz?00,02)?1?zyx(10)?zdxdydzJFFFzxy?2zh h?(0(11)?FFFJdxdydzz22222Rzyx?Rzzyx2222?)0(?R?12?FFFJdxdydzx21222222?czbyax?1?FFDdxdyxy2?FFF?ppppyppdypyp

8、yxdxdyy)(81242222225211p?2?FFFFF()$%&?axaxaadxxxaadyxadxxadxdy02002222D?23)3822(a?3?FF?Ddxdyyxe?FFFF?xxyxxxyxdyedxedyedxe11101101ee1?4?FF?Ddxdyyx)(22FF?yayaadxyxdy)(2234332214)312(adyayaayaa?F?5?FFDydxdy?FFF?2033)(020)cos1(2dttaydydxxya325a?6?FF!#+,-?Ddxdyxyyx)(2122e1FF!#+,-?1)(2111221yyxdxxeydy32(2

9、11121121222?()$%&?FF?dyydyeeyyyyy?7?FFDydxdyx22049)(212222122?FFF?dxxxxydydxxxxx?8?xy z dxdydz23JFFF36414106105030210?FFFFFxxyxdyydxxdzzdyyxdx?4?9?dxdydzxyz()13?FFFJFFF?yxxzyxdzdydx1031010)1(FF?()$%&?xdyyxdx1021041)1(121?()$%&?F1041211121dxxx1652ln21?10?zdxdydzJFFF302031hdzzdxdyzdzhhz?FFFFJ?11?FFFFF

10、FJJ?Rzdxdydzzdxdydzz022?FFRRRdzzRzdzzRzz22222022)()2(?548059R?12?FFFFFFJ?J?aaxdydzdxxdxdydzx22?F?aadxaxxbc)1(222?bca3154?7?xyyx?,2?x?;(,)x yxy?22?m?FFFF?yyDdxyxdydxdyyxm22210)(),(;34)384438(1032?Fdyyyy?8.?ypx222?p0yqxqp q222?(,)?pqypqx=?,2?pqqpdyypqqpqpdxdySpaqyqppypqpq)(32)(02222222?FFF?9.?xyxy?001

11、,16?z?023xyz?10,10:?yxDFFFF?DDydxdyxdxdy?2756)326(1010?FFFFydydxdxdyyxVD?10.?122?zy0,0?zxyx?5?Dxy?D10,0),(?yyxyx?3111110201022?FFFFFdyyydxdyydxdyyVyD?11.?zxy?22xy?1?Dxy?D0,0,1),(.?yxyxyx?6122)(10102222?FFFFFF?xDDdydxxdxdyxdxdyyxV?12?f x()R?ba,(1)?dxf y dyf y by dyabaxabF FF?()()()(2)?dyef x dxax ef

12、x dxaa xya xa000F FF?()()()()()?0?a?1?FFFFF?babybaxabadyybyfdxdyyfdyyfdx)()()(?2?FFFF?axaxayxaadydxxfedxxfedy0)(0)(0)()(F?axadxxfexa0)()()(?13?f x()1,0FFF?1010)()()(2dxxfeedxxfedyxxyyy?FFFFF?101010)()()()(22dxxfeedyedxxfdxxfedyxxxxyyyy?14.?1,0 1,0D?D*2)cos()sin(122?FFDdxdyyx?FFFFFF?101021010222)cos(

13、)sin()cos()sin(dxdyydydxxdxdyyxDFFF?1022102102)cos()sin()cos()sin(dxxxdyydxxF?102)4sin(2dxx?1,0?x1)4sin(212?x?6*2)cos()sin(122?FFDdxdyyx?15?1,0 1,0D?D?1cos212?tt?2/|?t?1)cos(50492?FFdxdyxyD?1)cos(2)(124?xyxy?1)cos(2?FFdxdyxyD?50492112)(1 1041044?FFFFdyydxxdxdyxyD?dxdyxyFF?D2)cos(5049?16?Dxy?D?xy?l?x

14、ly(,)?D(1)DDmlldxdyyxyx?FF)(?(2)4)(22yxlldxdyyx?FFD?1?FFFF?DDdxdyyxdxdyyx?)(?FFDdxdyllyxDmllyx?2?D,dcbaD?ND?yxlcdlab?,?()()()()xydxdyxydxdy?FFFFDDxydxdy?FFDFF?dcbadyydxx?,ba?)()(21)()(22?FFFbadxxdxxdxxbaba?22221)(21)()()(21xlababab?7221ydcldyy?F?4)(22yxlldxdyyx?FFD?17?)(xf,baFF?!#+,-babadxxfabdxxf22

15、)()()(?*FFFD?,2)()()(bababadxdyyfxfdxxf?FFD?,22)()(21babadxdyyfxf?FFFFDD?,2,22)(2)()(babababadxdyxfdxdyyfxf?FFF?bababadxxfabdydxxf)()(2)(222?FF?!#+,-babadxxfabdxxf22)()()(18?f x(),a b2,)()()(ddeabyxbabayfxf?.FFD?,?,ban,1iiixx?5?FFD?,)()(babayfxfdxdye?2?nifnifniieenab1)(1)(22)(lim55?0?ixni,2,1?22121)

16、111)(nxxxxxxnn.?2?nifnifiieenab1)(1)(22)(552)(ab?.?2,)()()(ddeabyxbabayfxf?.FFD?,babaD?D?FFFF?DDdxdyedxdyexfyfyfxf)()()()(8?FFFFFF.?DDDdxdydxdyeedxdyexfyfyfxfyfxf21)()()()()()(?2)(ab?19?,2,1,10|),(21nixxxxin?n(1)F?J?nndxdxdxxxx?2122221)(2)F?J?nndxdxdxxxx?21221)(?1?FJ?nndxdxdxxxx?2122221)(FJ?ndxdxdxxn?212131010210121ndxdxdxxnn?FFF?2?FJ?nndxdxdxxxx?21221)(F?J?()$%&?nnjijidxdxdxxx?211,?F?J?njinjidxdxdxxx1,21?F?F?J?J?njinjininidxdxdxxxdxdxdxx12112122?)1(41341231nnnnnji12)13(?nn?9