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欢迎光临阳光大学生网,提供最全面的大学生课后习题答案和复习试题免费下载,/ 阳光大学生网 我们希望呵护您的眼睛,关注您的成长,给您一片绿色的环境,欢迎加入我们, 一起分享大学里的学习和生活感悟,免费提供:大学生课后答案,大学考试题及 答案,大学生励志书籍。 1.1 2 2 222 2 2 222 2 2 222 222 222 222222222 222 222 cos cos cos coscoscos 1 x x xyz y xyz z xyz xyz xyzxyzxyz xyz xyz aa bb gg abg = + = + = + +=+ + + = + 1.2 92433132 9(243 )54 (9) (243 )2 36 335 xyzxyzxyz xyzxyzxyz xyzxyz A Beeeeeeeee A Beeeeeeeee A Beeeeee A B(9) (243 )191 243 31514 xyz xyzxyz xyz eee eeeeee eee 1.3 (9) (243 )2 36 335(9) (243 )2 36 335 xyzxyzxyzxyz (9) (243 )2 36 335(9) (243 )2 36 335(9) (243 )2 36 335(9) (243 )2 36 335(9) (243 )2 36 335(9) (243 )2 36 335(9) (243 )2 36 335(9) (243 )2 36 335(9) (243 )2 36 335 9(243 )54 yzxyzxyzyzxyzxyz 9(243 )549(243 )549(243 )549(243 )549(243 )549(243 )549(243 )549(243 )549(243 )549(243 )549(243 )54 (9) (243 )191(9) (243 )191(9) (243 )191(9) (243 )191(9) (243 )191(9) (243 )191(9) (243 )191 (9) (243 )2 36 335(9) (243 )2 36 335 xyzxyzxyzxyz (9) (243 )2 36 335(9) (243 )2 36 335(9) (243 )2 36 335(9) (243 )2 36 335(9) (243 )2 36 335(9) (243 )2 36 335(9) (243 )2 36 335(9) (243 )2 36 335 9(243 )549(243 )54 yzxyzxyzyzxyzxyz 9(243 )549(243 )549(243 )549(243 )549(243 )549(243 )549(243 )549(243 )549(243 )54 yzxyzxyzyzxyzxyz 9243313292433132 yzxyzxyzyzxyzxyz 92433132924331329243313292433132924331329243313292433132924331329243313292433132 yzxyzxyz 924331329243313292433132924331329243313292433132 ,38, xyzxyz Aebece Beee AB0A B 1 380A Bbc381bc AB0AB 1(83 )(8)(3)0 138 xyz xyz eee ABbcbc ec eb e 1.4 129 xyzAeeexyBaebeBA0A B 1291290 xyzxyeeeaebeab 1B 22 1ab 34 , 55 ab 1.5 xyzxy ab ab 1(83 )(8)(3)0 B B xyzxyxyzxyeeeaebeabeeeaebeabeeeaebeab1290xyzxyeeeaebeabeeeaebeabeeeaebeab1290xyzxy 2222 1abab 22222222 ababab 2222 3434 abab 3434 abababab 123233112 ()()() xyz xyz xxyyzz eee A Caaaa za y ea xa z ea ya x e xyz B eB eB e =?=-+-+- =+ xyz dle dxe dye dz 0 xyz xyz eee dlBBB dxdydz ?= xyz dxdydz BBB 233112 () dxdydz k a za ya xa za ya x k xaayaa zad zaaxaa yad yaazaa xad 3231 3 2132 2 3121 1 )()()( 1 k xayaz zdz zaxay ydy yazax xdx )()()( 211332 2 12 )()( 31211 yaaxaakxad )()( 21322 zaaxaakyad3 )()( 32313 xaayaakzad )( 32 xyaxzakxdx )( 13 yzaxyakydy4 aaxaaxa dyd 3 3 axaax 2 ) )ya ya yzyz dxdydz BBBBBB 233112233112 dxdydzdxdydz a za ya xa za ya xa za ya xa za ya x 233112233112233112 a za ya xa za ya x yaa aa d d z 1 1a a2 ( (za ) )( 21 xzayzakzdz 34 0)()()( 321 zadyadxad0)( 321 zayaxad 0zdzydyxdx0)( 222 zyxd 1321 kzayaxa 2 222 kzyx 1.6 222 ()()(2) xy z Aaxzx ebyxy ezzcxzxyz e AA A0 y xz A AA A xyz 2 x Aaxzx 2 y Abyxy 2 2 z Azzcxzxyz A 1.7 rr ra 2 sss r dsrdsadsaah 2 2 a h z z axzx ebyxy ezzcxzxyz eaxzx ebyxy ezzcxzxyz e()()(2)()()(2) z 2 Abyxy 1.8 2 3 x y 22 3 yz Ax yzexy e AAAArot)()( 22 22 (6)32 03 xyz xyz eee Axyx y ey exyze xyz x yzxy 222 3(6)32 xyz Ax yxyx y ey exyze yxzyx exexy z e y e x e 2 36 2322332 22 6309186 03 xyz xyz eee Axyxx y ex y ex y ze x yzxy 222 ()3(6)32 xyz rotAAAx yxyx y ey exyze zyx ezyxeyxeyx 233223 6189 49)9(3 222 zyx exzeyexxyx 1.9 222 (2)(2)(22 ) xyz Ayxzexyz ex zyz e rotAAAx yxyx y ey exyzerotAAAx yxyx y ey exyzerotAAAx yxyx y ey exyzerotAAAx yxyx y ey exyzerotAAAx yxyx y ey exyzerotAAAx yxyx y ey exyzerotAAAx yxyx y ey exyzerotAAAx yxyx y ey exyzerotAAAx yxyx y ey exyzerotAAAx yxyx y ey exyzerotAAAx yxyx y ey exyzerotAAAx yxyx y ey exyze x x ey ey x x 2 2 1 1ey ey x x 2 2 1 1 ) 3(6)32 x xe x 3 3 223333 63091866309186 223333 630918663091866309186y y630918663091866309186630918663091866309186 2233 6309186630918663091866309186630918663091866309186 3333333333 222222 3(6)32 222222222 rotAAAx yxyx y ey exyze3(6)323(6)32 222222222 rotAAAx yxyx y ey exyze3(6)323(6)323(6)32 222222222 eyx yx 32 8eyx yx 32 2 8eyx yx 3232 y y ) ) 2 2 ) ) 1 144(22 )0 xyz yy xxzz xyz xyz xyz AA AAAA rotAA xyzyzzxxy AAA xzxzyy e e e eee eee A0 A 1.10 222 xyz 222 xyz c e c e 222 xyz 1.11 = 23 3xyM(2,3)y= 2 1xx : (2,3) |6|36 M xy x 22 (2,3) |33|15 M xy y L(x,y)y= 2 x- 1(2x) L:2x c 22 2 os (2)(3) xx l xy 2 1 45xx 22 3 cos (2)(3) yy l xy 2 2 45 x xx 0l(x,y)(2,3) 1 cos 17 4 cos 17 (2,3)(2,3) |33|15|33|15 (2,3)(2,3) |33|15|33|15|33|15 2222 |33|15|33|15 2222 |33|15|33|15|33|15|33|15|33|15 (2,3)(2,3) |33|15|33|15 1x |33|15|33|15|33|15 - 1(- 1(2x x cos lx cos y = 24 17 1.112 = 22 3xyM(2,3)y= 2 1xx yM 42 M M xy 4tg 17 1 1 1 cos 2 tg 17 4 cos 236xy x 623 2 yx y 17 60 17 4 6 17 1 36coscos M yxl 1.12 r 1 O 111 333 xyz neee 36363636 MM 4 6 6 1717 6 6 111111 ()()()0 333333 xyz 3xyz 1.13 2 2 coscoscos ()cos(2)cos(2)cos 121 (11 2)(2 1 1 1 2)(2 2 1 1) 222 13 01 22 xyz yyzxyxzzxy 1.14 A 222 2 cos/)()() 3 yzyzxzxy 222 1 cos/)()() 3 xzyzxzxy 222 2 cos/)()() 3 xyyzxzxy 2223 coscoscos 6cos(33)cos( 2)cos 17 3 M u lAxyz xyxy zy z cos/)()()cos/)()() cos/)()()cos/)()()cos/)()() 222 cos/)()()cos/)()()cos/)()() 222222 cos/)()() 222222 cos/)()()cos/)()()cos/)()() 222222222 cos/)()()cos/)()()cos/)()()cos/)()()cos/)()()cos/)()()cos/)()() 1 1 3 3 222222 2 222222222222 cos/)()()cos/)()() 222222 cos/)()()cos/)()()cos/)()() coscoscoscoscoscoscoscoscos 1.15 0 222 222 222 coscoscos 954 cos 314 (5 1)(4 1)(192) 4 13 cos 314 (5 1)(4 1)(192) 19217 cos 314 (95)(4 1)(192) 4317 314314314 4 1 25 314 x y z M lxyz l l l l l l yzxzxy l l 317123 25 1 314314314 123 5,1,25,1,29 4,19 314 xyz 1.16 (23)(42)(66) xyz xyz gradeee xyz xyeyxeze (0,0,0) 326 xyz gradeee (1,1,1) 63 xy gradee 1.17 (23)(42)(66)(23)(42)(66) xyzxyz y(23)(42)(66)(23)(42)(66) xyzxyz (23)(42)(66)(23)(42)(66)(23)(42)(66)(23)(42)(66)(23)(42)(66)(23)(42)(66)(23)(42)(66)(23)(42)(66)(23)(42)(66) 5,1,25,1,29 4,195,1,25,1,29 4,19 (23)(42)(66)(23)(42)(66) xyzxyz (23)(42)(66) eeeeee xyzxyz xyzxyz xyzxyzxyz (23)(42)(66)(23)(42)(66)(23)(42)(66) eee xyzxyzxyz xyzxyzxyz xyzxyzxyz (23)(42)(66)(23)(42)(66)(23)(42)(66)(23)(42)(66)(23)(42)(66)(23)(42)(66)(23)(42)(66)(23)(42)(66) radeeeradeee326326326326326radeeeradeee326326326 (1) ()()() () ()()() (2):() () xyz xyz xyz xyz uuu gradueee xyz vvv gradveee xyz uvuvuv gradugradveee xyz grad uv vvv gradveee xyz v v xx 2 ()() (3)()222 2. xyz xyz vv eveve yyzz vgradgradv uuu grad uueueue xyz u gradu 1.18 1A+B= x eX + y ey +) z ez )( eBeBeBeAeAeA zzyyxxzzyyXx =)()()( BABABAZzyyxx zyx =) zyx AAAz y X +) zyx BBBz y x =BA (2)()()(A zyx A eee zyX =()()() Xyz AAA xyz eee ( e eA A Xx xe eA A A A ( ( y yA y y xyz grad uueueue xyz xyz A Ae eA y yyA Ae eA A ()( y z z z z ) A + + =)( x A x A ex )( y A y A ey +)( z A z A ez =()() X y xz xyz yz A AA eeeA xyzxyz eee =AA 1.19 n n n nnn n rn zyx zyx zyxnzyx zyxz z zyxy y zyxx x rr zyxzyxzyx zyxr x xr z zr y yr x x zyx zyxzzyx zyx z zr z z zyx zyxyzyx zyx y yr y y zyx zyxxzyx zyx x xr x x r z zr y yr x xr r ) 3( )( )( )()( 3 )()()()()2( 0 )( 3)( 3 )( 1 )( )(3)( )( )( )(3)( )( )( )(3)( )( 1 222 2 222 222 2 222 2 222 2 222 2 222 2 1 222222 2 3 222 32223333 3222 2 1 2222 2 3 222 2 3 222 3 3222 2 1 2222 2 3 222 2 3 222 3 3222 2 1 2222 2 3 222 2 3 222 3 3333 1.20 1 2 222 () xyz rxyzrxeyeze y xr r x x x( 2 2 23 3 ( y2 2 x x x n z zyzy yx x x ) ) 3 ) ( z z 2 2 322 ) ) 222 z ) ) 2 y y2 z zyzy 3 3 ) ) ) 222 ( ( 32) 2 1 1 222 y2 2 x x(3 3z z 2 ( y y2 z (1)()() yz xyz zyxzyx ()()() yzzxxz 0000 xyz xyz xy xyz reeexeyeze xyz eee x eee y 1 222 2 xy 3333 222222222222 2222 2 z 111 222222222 222 (2)() r () zy- zyxz- xz ()e()e ()()()() xy ( ( yz xyz ()()() xyz xz xy xeyeze r eee xyz xyz xyzxyzxyzxyz xy eee x xyzxyzxyz z 33 22222 22 - xy )e )() 0 0 00 zxyz 111111 222222222 yz xyzxyz yzyz 111111 222222222222222222222222222222222222 yzyz xyzxyz 222222222222222222 z zeeeeeez z ()()()()()() yzyz 222222 222222222222222222 ()()()()()()()()()()()() 222222222 y 1 222 2 z 111 222222222 222 33222 222222 22 (3) f(r)() f(r) r () yz xf(r)yf(r)zf(r) ()()() zyf(r)zyf (r)- zyyzf (r ( ()() xyz xz xy xeyeze r eee xyz xyz eee x xyzxyzxyz xyz xyzxyz x 222 y33 222222 222222 22 z 33222222 222222 22 ) )e xzxzf (r)- xzxzf (r) ()e ()() xyxyf (r)- xyxyf (r) () ()() 0- 0+00 xyz xyzxyz xyzxyz e xyzxyz xyzxyz()()()()()()()() 22 ()()()()()() 222222222222222222 333333 xyxyf (r)- xyxyf (r)xyxyf (r)- xyxyf (r)xyxyf (r)- xyxyf (r)xyxyf (r)- xyxyf (r) ()() 2222222222 222222222222 ()()()()()() 222222222222 zyf(r)zyf (r)- zyyzf (rzyf(r)zyf (r)- zyyzf (rzyf(r)zyf (r)- zyyzf (r 222222 2222223333 xzxzf (r)- xzxzf (r)xzxzf (r)- xzxzf (r) 2222222222223333 xzxzf (r)- xzxzf (r)xzxzf (r)- xzxzf (r) xyzxyz 222222 xyzxyzxyz xzxzf (r)- xzxzf (r)xzxzf (r)- xzxzf (r) ()e()e()e 33332222222222223333 xzxzf (r)- xzxzf (r)xzxzf (r)- xzxzf (r) 2222222222223333 xyzxyzxyzxyz 222222222222 2222 222222222222 2222 222222222222 222222 222222222222222222 ()()()()()() 222222222222 xyxyf (r)- xyxyf (r)xyxyf (r)- xyxyf (r) ()()() 33333333 xyxyf (r)- xyxyf (r)xyxyf (r)- xyxyf (r) 22222233 xyzxyzxyzxyz 222222222222222222222222222222222222222222222222222222 ()()()()()() 222222222222 1.21 xyz xyz xyz AAA BBB xxyyzz AAAA xxyyzz BBBB ()()() yy xxzz xyz AA AAAA BBB yzzxxy ()BA xyz xyz B xyz AAA ()AB ()()() yy xxzz xyz BB BBBB AAA yzzxxy ()BA()AB ()()() yy xxzz xyz AA AAAA BBB yzzxxy ()()() yy xxzz xyz BB BBBB AAA yzzxxy () yzzyzxxzxyyx A BA BA BA BA BA B xyz () yzzyzxxzxyyx A BA BA BA BA BA B xyz 1.22 = = = = = = = = = 1.23 xyzxyz ()()()()()()()()()()()()()()()()()()()()()()()()()()() yzzxxyyzzxxy BBBB ()()()()()() BBBB ()()()()()()()()() yyyy ()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()() BBBBBB BBBBBB yyyy BBBBBB ()()()()()()()()()()()()()()()()()() xyzxyzxyz ()()()()()()()()() yzzxxyyzzxxyyzzxxy xyzxyzxyzxyz yzzxxyyzzxxy ()()()()()() ()()()()()()()()()()()()()()()()()()()()() AAAA ()()()()()()()()() yzzxxyyzzxxy AAAAAA yyyy ()()()()()() AAAA ()()()()()()()()() yyyyyy AAAAAA ()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()()() xyzxyz ()()()()()()()()() yzzxxyyzzxxy xyz ()()()()()()()()() BBBBBBBB yyyy ()()()()()()()()()()()()()()()()()()()()()()() 2232 222 V 2 V a 224 0 325 0 5 XZX YZ2XY+Y Z V Z =XYZV 3ZV = (3Z3) 3 Z) 5 | a d xy d d aZdV aZ a 1.24 2 22 2 22 2 2 1 1111 11 111 ()() () ()() ()() ()()() H ct EE ctct ctct E ctct HH ct ctct EEE H HHH E 1.25 11111111 ()()()() ()()() 1111 H H ()()() ctct ()() ctct ()()()()()() ctctct ()() ()()()()()()()()()() 1111 ()()()() 1111 ()()()() 11111111111111111111 ()()()()()()()() ()()()()()() ctct ctctctct ctctctct ctct ()()()()()() ()()()()()()()()()()()() ()()()()()() 11111111 ()()()() 11111111 = 2( )()v = () xyz eee xxz =() x e xx +()() yz ee yyzz =() =+ = 22 2 1.26 1 2 2 x = 2 sinx siny z e 2 2 y 2 sinx siny z e 2 2 z = 2 sinx siny z e 222 2 2 x 2 2 y 2 2 z 222 sinx siny z e0 2 22 2 222 11 ()()r rrrrz 1 ()r rrr 22 cos n n rn 2 22 1 () r 22 cos n n rn 2 2 z 0 2 2 2 2 y y y 2 2 22 2 222 11 ()()r rrrrz 0 1.27 23322 23322 23 232222 ()()() ( 2)(32)(32 xyz xyz yy xxzz xyz xy eee xyz Ax yzexz exye x yzxzxy Ayz xyz AA AAAA Aeee yzzxxy xyxex yzx yexzx urururur u rururur uru r uru rururur urur 3 22 222 22 ) 1 ( 2 ) c o ssin c o sc o ssin 2c o sc o s 3c o s 1 c o s2s in c o s0sin z rz rz rz r y ze eee rrz Arere rrr Arr rrz r eee Arere rrz rr ur urururur u rurur uru r ururur uru rurur 2 2 22 2 2 sin 11 (3 ) sin 11 sinsinc o s 11111 (sin)(sinsin)(c o s) sinsin 2 3 sinc o s sinsin R R R re eee RRR AReee RR ARR RRRRRR R e ee RRR A ur uruu rurur u ruu rurur uru r ur uruu r uru r 2 33 sinsin sin1 sins insinc o s c o s 2c o s c o s sin R R R e ee RRR RR AR ARA R R eee RR ur uruu r uu rurur 1.28 RR sinsinc o s 11111111 sinsinc o ssinsinc o s 111111 sinsinc o ssinsinc o s eeeeeeeeeeee 1111 eeeeeeeeeeeeeeeeeeeee 1111 RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR c o s0sinc o s0sinc o s0sinc o s0sin 22 1111 rururrurur 11111111 ruru 1111 (sin)(sinsin)(c o s)(sin)(sinsin)(c o s) 1111 RRRR 2 RRRR sinsinc o ssinsinc o ssinsinc o s 1111 2 sinsinc o ssinsinc o s 2 2 (sin)(sinsin)(c o s) sinsinc o ssinsinc o ssinsinc o ssinsinc o ssinsinc o s 1111111111 (sin)(sinsin)(c o s)(sin)(sinsin)(c o s) 1111111111 (sin)(sinsin)(c o s) 11111 (sin)(sinsin)(c o s)(sin)(sinsin)(c o s)(sin)(sinsin)(c o s) 2c o sc o s2c o sc o s c o s2s inc o s2s in r r 2c o sc o s c o s2s inc o s2s in 2c o sc o s2c o sc o s2c o sc o s r r c o s2s inc o s2s inc o s2s inc o s2s inc o s2s inc o s2s inc o s2s inc o s2s inc o s2s inc o s2s inc o s2s inc o s2s in ur ur 11 sinsinRRR (sin)(sinsin)(c o s)(sin)(sinsin)(c o s) ruru 1111 22 22 2222 22 2 2 11 ()(sin) sinsin ( , , ) () () () () kR kRkR kRkR kRkRkR kR R RRRR Re R RR Ree R ekRe R kekek Re e 1.29 x xyzx xyzx :A,: A0;0 =e A = yzezxexyee0 yzezxexyee yz yz yz A ee xyz yzzxxy ee xyzxyz Aee xyz x xyzx e ()() ()0 A A=- yzezxexyee ; : y z yz xyzxyzxy e yzzx zxzy e xy ee xyz zyzxxy xyz xyzC xyzxxyzxxyzx A = yzezxexyeeA = yzezxexyee xyzxxyzxxyzxxyzxxyzxxyzxxyzxxyzxxyzx A = yzezxexyeeA = yzezxexyeeA = yzezxexyee xyzxxyzxxyzxxyzxxyzxxyzxxyzxxyzxxyzxxyzxxyzxxyzxxyzx xyzxyz A = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyeeA = yzezxexyee zxzy xyzxxyzxxyzxxyzx yzyzyz eeeeeeee yzyz xyzxyzxyzxyz yzyz xyzxyzxyzxyzxyzxyz yzyzyzyz AeeAeeAeeAee xyzxxyzxxyzxxyzxxyzx AeeAeeAee xyzxxyzx yzezxexyeeyzezxexyee xyzxxyzxxyzx AeeAeeAeeAeeyzezxexyee xyzxxyzxxyzx Aeeyzezxexyee xyzxxyzxxyzxxyzxxyzx xyz xyzxxyzx xyz AeeAeeAeeAeeAee ()0()0()0()0()0 2.1 10 19 29 =. =10 1.6 10 2.08 10 e qR Rm qeC pm C - - - = 2.21 2.2 53 0 3()1 4 ee P R RP E RR 0 ()RR 0e PqR 0 RR 10 0 1.3 10Rm 10 100 10Rm 0 RR 32 0 13 () 4 ee EP R RP RR () e mk P R RP 2 3 k R 3 0 4 m E R Em 222222 ()()2 ()() eeeeee mk P R RPkP RRPk P R P R 2222 (2 )() ee k RkP RP 222 42 96 ()() ee RP RP RR 22 2 3 () ee P RP R 00 cos e P RqR RqR R 0 RR 3232 0 () 3232 EPEP 3232 ()() 3232 1313 EP()() 131313 RRRR 323232323232 EPEP()()() 13 ()()mk P R RPmk P R RP()()mk P R RPmk P R RP() ()() eeee ()()()()()()()()()()()()()()() 2 2 3 3 k R R cos10 2 m 22222 max 2 3 4 eee mR PPP R m=2 e P max 33 max 00 42 e P m E RR 2.1 e P=2.08 29 10c m 29 1 12103 max 2.08 10 2 3.14 8.9 10(100 10) EV m 51 3.7 10 V m 19 171 212102 0 1.6 10 1.4 10 44 3.14 8.9 10(100 10) e EV mV m R 51 3.7 10 V m 71 1.4 10 V m 2.22 0 R eCLH R nCLH 0 RR.e,ne,n 1 00 33 0 3cos1 4 qRqR Ene RR ( 41 P) = 2 0 3 0 2 3 cos1 4 qR R 29 0 (2.1 10) e pqRcm 22 0000 3333 0 3cos33cos31 2cos 4 qRqRqRqR E RRRR 1 0 0 RR.R. 1 Ene 1 33 3 3 3 H H e e,n n 3cosqRqRcos3cos3 00 3 3 3 00 qRqRqRqR3cos3cos3 EneEne 33 0000 3 0000 3 3 3 00 RR 33 33 qRqRqRqRqRqR Ene 3qRqR3cos3cos3 0 E 0 3 0 2 4 qR E R 5 0 3 0 2 3.7 10 4 qR V M R 2 7 2 0 1 ()1.4 10 4 qR V E M RR 2.3 qR= = - 2.4 2.1H.cl 191029 1.6 101.3 102.1 10 e Pc m cos ee P EPE cos1 ee P EPE E 2.2 5 max 3.7 10 v E m 29524 max 2.1 103.7 107.8 10 e P EJ 2.5 d D HJJJ t ()()0 d HJJ0 V ()()0 dd ss JJdVJJdS max E E 2.6 10J, 0 s in x EeEt 00 cos x DE Het tt 0 00 11 (sin)0 x H Eet t HH 0sinx Ee Et 2 0 s in) x z EeEt c 0 000 11 cos() zy HEz EeeEt tzcc t 0 0 sin() y z HeEt cc 00 cos() zx HzE Heet zcz EH 2.7 : c JE c J = E : c J E )22. 3(1 .117sin 50 Zt eJ E xc t E t D Jd 0 12 1 8.854 10117.1 3.22cos117.1 (3.22) 50 d JtZ H sin()sin() z z ()sin()sin()() cccc sinsin()sinsin()()() 000000 HzEHzE 000000 HzEHzEHzE () HzE () 00 () 00000000 zczzcz )22. 3(1 .117cos1068. 6 11 Zte x x 2 /mA 2.8 1J=0 2 0 JE cB te =+ 0d E J t e = 2 00d E JcB t ee = = 2 0 () xz BB cee zx e-+ 9 0 1 10 36 e p - F/m =() 982129 1 10(3 10 )33 1010sin 3 1010 36 x tz e p - -A/m2 =() 59 26.26 10sin 3 1010 x tz e - -A/m2 2 59 00 11 26.26 10sin(3 1010 ) dx EJ dttz e dt ee - =- 39 9.9 10cos(3 1010 ) x tz eC - =-+ 0t =1.1zm=0E =0C = 39 9.9 10cos(3 1010 ) x Etz e - =- 1tms=9zkm= 3933 9.9 10cos(3 101 10109 10 ) x Ee - =- 3 7.40 10 x e - V/m7.40 x e=mV/m 2.9 HJ V D 2.10 J= t zm 3939 9 10cos(3 10109 10cos 3939 9 10cos(3 10109 10cos(3 1010 393939 tmstms1 1zkmzkmzkm 9 109 109 109 109 109 109 10 ()()()()() tz e()()()()()()() 59 3 10103 1010 5959 dxdx 3 10103 10103 10103 10103 10103 10103 10103 10103 10103 10103 1010 3939 3 10103 1010 393939 3 10103 10103 10103 10103 10103 1010 0 3939 3 1010 )3 1010 3939 3 10103 1010 3939 3 10103 1010 9zkmzkm9 39333933 9 10cos(3 101 10109 109 10cos9 10cos(3 101 10109 109 10cos 39333933393339333933 9 10cos(3 101 10109 109 10cos(3 101 10109 10 39333933393339333933 3 J= q dSI t J=0 2.11 H: ( , )2cos(15) iz y H x ze ix e 1 00 0 11 ( , ) 1 2cos(15)30 sin(15) yy xz i z xz HH E x zHee iizx iexe ixe 00 22 2 00 1 ( , ) 2 (15 ) ) cos(15) y xz yi z e EE H x zE iizx e i x e (2) 12 7 222922 00 9 410 (15 ) )(610 )400 3610 22 40022541.56(/)rad m 9 9 ( , , )496cos(15)sin(61041.56 ) 565.5sin(15)cos(61041.56 )/ x y E x z textz extz Vm 2.12 1E: 222922222922222922222922 ) )() )( 222922222922 ) )() )() )( 222922222922 0000 iexe ixe)15)iexe ixeiexe ixe15)15)1515)1515)1515151515iexe ixeiexe ixe15)15)15151515 15)15) z z E E iizxiizx x e15)cos(1515 E iizxiizxiizx 222922222922222922222922 0000 ) )() )( 0000 222922 ) )(610) )( 222922 0000 2222 400225414002254140022541 2222 40022541400225414002254140022541 0.5 100 ( , ) iz r E r zee r 00 0.5 11 ( ,) 0.398 (/) r iz E Hx zEe iiz eeAm r 8 5 ( , , )cos(100.5 )(/) 4 H r z tetzA m r 2 8 397.9cos(100.5 )(/) sr arr az JnHeHetzA m 3 82 0 5 sin(100.5 )(/) 18 dr E JetzA m tr 01z 1 8 0 20.55sin(100.25)( ) dddr s iJdsJerdztA 2.13 1E: 0 ( , )sin() x ik x y E x ze Ez e d 00 0 0 11 ( ,)() cos()sin()(/) x yy xz ik x xzx EE Hx zEee iizx Ezz e ie keAm ddd 0 0 0 0 ( , , )cos()sin() sin()cos()(/) xx x zx Ez H x z tetk x dd k Ez etk xA m d 2z=0 0 0 0 sin()(/) szzyx E JeHetk xA m d z=d 0 0 ()sin()(/) szz dyx E JeHetk xA m d 2.14 ).(),(),(21tztztzEEE 8 1 8 2 ( , )0.03sin(10) ( , )0.04cos(10) 3 x x z ttkz z ttkz Ee Ee uuu r uuu r u u r u r 1 2 1 88 1( , )0.03sin(10)0.03cos(10) 2 xxz ttkztkzEee uuu ruuu r u r 1E u r 1 (/2) 0.03x i kz eEe u rv 2E u r 2 (/3) 0.04x i kz eEe u rr E u r 12EEE u ru ru r 32 (0.030.04)x ii ikz eeeEe u rr 2Maxwell 00 1 ( ) x
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