资源描述
Bc Mf 1 p/ La a b 1 i23 1 + 2 i1 3i i 1 3 ( )( ) 2i 5i24i3 + 4 i4ii 218 + 1 ()() ()2i3 13 1 2i32i3 2i3 2i3 1 = + = + 13 3 = + i23 1 Re 13 2 2i3 1 Im = + , ()2i3 13 1 2i3 1 += + 13 13 13 3 13 3 2i3 1 22 = + = + k2 i23 1 arg i23 1 Arg + + = + ,2,1,0,2 3 2 arctan =+= kk 2 () ( ) () () i, 2 5 2 3 3i3 2 1 i i)(1i1 i13i ii i i1 3i i 1 =+= + + = , 2 3 i1 3i i 1 Re = 2 5 i1 3i i 1 Im = 2 5 i 2 3 i1 3i i 1 += 2 34 2 5 2 3 i1 3i i 1 22 = + = k2 i1 i3 i 1 arg i1 i3 i 1 Arg + = ,=,+= 2102 3 5 arctan kk . 3 ()( ) ()()() ()( ) ( )( ) 4 2i7i26 2i2i 2i5i24i3 2i 5i24i3 = + = + 13i 2 7 2 26i7 = = ()( ) 2 7 2i 5i24i3 Re = + ()( ) 13 2i 5i24i3 Im = + 1 ()( ) l3i 2 7 2i 5i24i3 += + ()( ) 2 295 2i 5i24i3 = + ()( ) ()( ) kk 2 7 26 arctan22 i2 i52i43 arg i2 i52i43 Arg +=+ + = + () ,2,1,0,12 7 26 arctan =+= kk . 4 ( ) ( ) () () ii141iii4ii4ii 104 10 2 4 2218 +=+=+ 3i1i4i1 =+= 3i4iiIm1,i4iiRe 218218 =+=+ 3i1i4ii 218 += + 10|i4ii| 218 =+ ( ) ( ) ( ) 2k3i1arg2ki4iiargi4iiArg 218218 +=+=+ = .2,1,0,k2karctan3 =+ 2 T T ( ) i1 3i5 3yi1x += + + k p L x, y b ( ) ( ) ( ) ()()3i53i5 3i53yi1x 3i5 3yi1x + + = + + ( ) ( ) ( )( ) 34 3y51x3i3y31x5 + = ()i1185y3xi43y5x 34 1 +=+= 1 T La =+ =+ 341853 34435 yx yx =+ =+ 5253 3835 yx yx 11,1 = yx b 3 i -i=i -1 = i b 4 2 1) | | 11 6) Re( ) ( ), Im( ) ( ) 22i zzz zzzz z = z= += # 2 V ! izxy= + b 5 $ T b T *t $ z 2 |zz= 2 2 2 z ! 51 P izxy=+ 2 |zz= 22 2 2ix yxyx+ =+y 0 bN V L b 2222 ,xyxyxy=+ = z 6 H p Kv n a b 1| z | az n + |a|a|z|az nn + 1 O n a ez arg i = H () |a|ea|a|eea|z aa n n a n +=+=+ =+| 11 argiargi arg i # pb |1 a+ 8|/ V U T V U Tb 1 i 2 -1 3 1+ 3 i 4 ( )0isincos1 + 5 i1 2i + 6 ( ) () 3 2 isin3cos3 isin5cos5 + 1 2 i e 2 isin 2 cosi =+= 2 i eisincos1 =+= 3 3 i 2e 3 isin 3 cos2 2 3 i 2 1 23i1 = += +=+ 4 2 1 cos isin 2sin i2sin cos 2sin sin icos 222222 += + = + )(0,e 2 2sin 2 isin 2 cos 2 2sin 2 i = + = 5 () = + 2 1 i 2 1 2i1i12i 2 1 i1 2i = 4 isin 4 cos2 = 4 i e2 6 () ()( ) 2 23 i5 i3 i10 i9 i19 3 cos5 isin5 e/e e/e e cos3 isin3 + = = 3 isin19cos19 += 9|/ U SM T T 1 M T 11 11 , ; x xa yyb = + = + 2 T 11 11 cos sin , sin cos . xx y yx y = =+ ! 11 iAa b= + 11 izxy 1 = + izxy= + 5 1 2 1 zz A=+ i (cos isin ) ezz z =+=b 10B -i M$ ! 5 z ezz Argi |= () =|= 2 Argi 2 i Argi z z |z|eeeziz V M h 2 b 11 i + ilb 222 12 12 1 2 |2(|zz zz z z+= +|) 22 12 12 1212 1212 11 2 2 22 12 | | | ()()()( 2( ) 2(| | | | ) zz zz zzzz zzzz zz zz zz + =+ + =+ =+ ) + il HL Z H Zb 12 / 5 1 s Tf () () () Pz Rz Qz = V iX Y+ T X Y L x s Tf y 2 T ()R z 1 s Tf L * () iR zXY= 3 T iab+ L Z 1 01 1 0 nn nn az az a z a + + += * 9 b iab 1 () () () Re( () () Im( () () () () (, ) (, )() () Pz PzQz PzQz PzQz Rz Qz qxy qxyQzQz = = + ; 2 () () () () i i () ()() Pz Pz Pz R zX Qz QzQz YX= = = =+= ; 3 Y L ( ) 1 01 1 nn nn Pz az az a z a = + 4 ()zPzazazaa n n =+= 2 210 13 T k it ez = 1 nt z z n n cos2 1 =+ 2 nt z z n n sini2 1 = 1 nteeee z z n n sin2 1 intintintint =+=+=+ 2 nteeee z z n n sini2 1 intintintint = 14 p/ T 1 ( 5 i3 ) 2 ( ) 6 i1+ 3 6 1 4 () 3 1 i1 1 () () 6/5i 5 6/i 5 5 322 2 i 2 3 2i3 = = ee 5 5 32 cos isin 16 3 16i 66 =+= 2 () () 6 6 6 i/4 3i/2 1i 1i 2 2e 8e 8i 22 += + = = = b 3 () () 1 i 21/6i+2 6 6 1 e e , 0,1,2,3,4,5 kk k + = = = b V 6 1 6s Y , 2 i 2 3 e /6i += ie /2i = 2 i 2 3 ei /65i += 2 i 2 3 e /6i7 = i 23i = / e 2 i 2 3 411i = / e b 4 () () 0,1,2=,= 2 2 1 2=1 3 + 3 1 / 3 1 3 1 kee k 2 4 i 64i 22 i i b V 3 sY () 1/3 1i , 12 7 sini 12 7 cos22 , 12 sini 12 cos22 612/7i6 62/i6 += = e e += 4 5 sini 4 5 cos22 64/5i6 e b 15 (1 i) (1 i) nn + = k p nb 5 5i i /4 i /4 i /4 i /4 (2e ) (2e ),e e nnnn = sin 0 4 n = # 4, 0, 1, 2,nkk= b 16 1 p Z 08 3 =+z 2 ps Z 08 =+ yy Bb 1 () () 1 i12 3 3 82 k ze + = = k=0,1,2b Z / ,3i1+ ,2 3i1 b 2 Z+Z 08 3 =+ i31 1 += 2 2 = i31 3 = # B T ( )xCxCeeCy xx 3sin3cos 32 2 1 += 17 iB / z 11 1 , , , ,zz z zz z b o x y z -z z z 1 z 1 z 1 z 18X X / )$ 1 z 2 z 321 , zzz 1 () 21 2 1 zzz += 2 ( ) 21 1 zzz += L 3 () 321 3 1 zzzz += b 7 1,2,3i =+= ,kyxz kkk 5 1 2 i 2 2121 yyxx z + + + = z Lb 1 z 2 z 6 2 ( ) ( ) 122122 i yyyxxxz += L 1 1 z 2 z |z|z |z|z 12 1 = )b 3 ()( 321321 3 i 3 1 yyyxxxz += )+ M z )b 321 zzz 19 ! aHq 123 ,zzz 0 321 =+ zzz , 1 321 = zzz b z 1 z 2 z 3 = 1=z B b 1 321 = zzz ( b 321 zzz y 2 33 1 zz= 3 z () () 212322112121 zzzzzzzzzzzz +=+= 2121 2 zzzz += 1 2121 =+ zzzz )()( 122122112121 2 21 zzzzzzzzzzzzzz += ( ) 32 2121 =+= zzzz # 3 21 = zz 3 3231 = zzzz 321 zzz = 1=z B b 20 T z 1 z 2 z 3 T 32 31 13 12 zz zz zz zz = 321312 zzzzzz = i t T+ ilb T )arg()arg()arg()arg( 32311312 zzzzzzzz = 231312 zzzzzz = by ()( ) ()() 12 32 3213 3112 13 12 zz zz zzzz zzzz zz zz = + + = V 123312 zzzzzz = 321 zzz V7 321312 zzzzzz = b 7 21/ 5 ziSiTmb 1 |5 2|z =6 1|i2| +z 3 Re( 2) 1z + = 4 () 3iRe =z 5 |i|i| =+ zz 6 4|1|3| =+ zz 7 Im( ) 2z 8 1 2 3 z z 9 0argz 7 b 1 20Im z 41 z 3 Re0 5 z 1z 3+z 4 23z 6 1arg 1z z y O x c L a 7 Y ub 2 41 z x y 5 O 1 a 7 Y ub 16)1( 22 =+ yz 3 0 1Re + xzz y -1 D O x L x = -1 H u L = a 7 Y ub 6 1arg 1z Y ub 9 22 4 2| 2|1 4 1, 0zz xyx+ Y ub 23 z LZ V 22 (2) 1xy+= Czaza =+ a d , C L !US Z |CByAx =+ )( i2 1 Im),( 2 1 Re zzzyzzzx =+= CzBAzBA =+ )i( 2 1 )i( 2 1 )i( 2 1 BA 7 a = + 5 ( 2 1 a = )iBA T Czaza =+ b 24 Z V 0,(zz z z c )c + += L b 22 () 2 () 0zaza R z azazaaR+=+= c L a R= b 25 p/ Z t L wLb 1 2 tbtaz sinicos +=tz i)1( += 3 t tz i += 4 2 2 i t tz += 5 6 7 ze ab=+ 1 bL t ch i shzat bt=+ iitt zae be =+ ,( i ) = = +=+= t ty tx tyxz ,)i1(i xy = b 2 sin sinicosi = +=+= by tbtayxz 20, cos = t t tax 1 2 2 b 2 2 =+ y a x 3 = y 1 wL 1 = +=+= t tx t tyxz i i =xy = = +=+= 2 2 2 2 1 i i t y tx t tyxz 4 1 w L =xy BK B b 13 22 22 ch ch i sh 1 sh xat xy zat bt ybt ab = = + = = wL 5 22 22 1, ()() xy ab ab += + 6 2 arctan 22 ay bx xye+= 7 26f z w 1 = | z / wLM I w Lw ()ivuwiyxz +=+= , $ 1 26 22 =+ yx xy = 3 ( ) 11 22 =+ yx 1x = 4 2222 11 yx y i yx x iyxz w + + = + = 2222 , yx y v yx x u + = + = V 1 )( 22 22 11xy uv x + += = = B 2 w 2 22 22 4xy y + + () v yxyx + 2222 yy yx x u = = + = 22 BL x = w 3 1 2 1 ,u = 1 y+ 2 1 y v y = V 22 2 1 1 uv u y + = + + 7 N 22 2 11 22 uv += B 4 w () 2 1 211 22 2222 = + =+=+ yx x xyxyx 2 1 =u B Lb 27X p w v 3 zw = 1 i 1 =z i1 2 +=z i3 3 +=z b 2 u w 3 arg0 z b ! 5 b w i rez = 333 i erz = 4 2 2 i 1 4 sini 4 cos2i1,i zez = +=+= i 2 e 1 6 i 3 2 23z = 2 6 sini 6 cos2 2 1 i 3 i e= += +=+ 14 sY w i 3/3i 1 = ew 2i2 2 1 3 2 3 i 2 1 222 4 2 += += ew i82 2 i 3 3 = ew 2y fv 0 zz H 2 )( )()( 0 0 zf zfzf =zf ),( zUz H 5 b 30 ! 0)( zf 0 lim ( ) zz f zA= ()f z B # = b | 0 z 1 = 5 i 0 0 0| |zz H |() |1fz A b# 0 0| |zz = |()|() |() | |1| |f z fzAAfzA A A=+b 31 ! 1 () ,( 0) 2i zz fz z zz = k H0z ()f z Kib 2 x 2 12 () 2i zz xy fz zz y = + A b 32 k )arg(arg zz L N7 ) b ! z zzf arg)( = y f(0)l f(z) z=0) b L H 00 z 0 )0 0 ( = x xz = xxx arctanlim 0 + = y y z y y x zz arctanlim arglim 0 0 arg 0 i + xx 0 0 zarg L b 7 argz z z lim z z ) A b 15
展开阅读全文