07H9) 0050 (30) w0xy w+ =x+y i w R R>w R xy (x, y ) () a 0a w a xy (x, y ) w=r (cosa +isia )0(a w+ w =R (cosa +isia )+ R 0cos a + isia cos a isia =R (cosa +isia )+ R 0cos a + isia 0cosa isia cosa isia =R (cosa +isia )+ R0cos a i si a =R (cosa +isia )+ cosa isi a R0cos a + si a = 8 R + R 9 cosa + 8 R (sia )i = x+y i R 9 x= 8 R + R 9 cosa y= 8 R R 9 sia x 8 R 9 + R + y 8 R 9 R = (x, y ) () cos a + si a = w=r (cosa +isia )=x+y i x= 8 r + r 9 x 8 R + R9 + y 8 R R9 cosa y= 8 r r 9 sia =
x cosa + y si a =r x cosa y si a = r x + 8 y x cos a sia 9 8 y cos a sia 9 = x 8cos a 9 y 8si a 9 =4 0a 0cosa r+ r = Ur Ur 8 9 +) 0 x = 8 r + r 9 0a 0sia limy=*limy=*y r. 0 r.* (x, y ) x 0cosa y 0sia = x 0 cosa w=r (cosa +isia )0(a w=u+viuv w R w =U u + v =R w+ w =u+vi+ u+ vi =u+vi+ uvi 0u+ vi 0uvi =u+vi+ uvi u + v u + v + u + v = u+ vi=x+y i u + v u + v x= v + u + v u + R u= + R uy= u + v u + v R u= R xv= R R y u + v = R + (x, y ) () x 8 R + R9 + y 8 R R9 R v= R v = r xy (30) OABC DE FG HI OA AB BC CO OB AC DG EF AEEB = CFFB () DE FG HI OABC OABC
AC DG ACDG DG EF AC EF AC DG TEF DG SEF ACDG ACSDG ACSEF AEEB = CFFB DG EF ACSEF AEEB = CFFB () DGSACADDO = CGGO DE FG HI EF=DGAEEB = CFFB = ADDO = CGGO GH=EIGHSEI CGGO=BHHO=BEEA=CIIA AEEB =CGGO=BEEA=EBAE + AEEB= DE FG HI OABC HE=HD=DEOA=AB=BOOB=BC=CO OAB OBC OAC ABC OABC O G C D I H F A E B DGSACSEF AEEB = CFFB ACSEFACSEF DG=DO+OG= AO+ OC= AO+ (ACAO)=() AO+ AC= k AQ
EF=EB+BF=r AB+s BC=r AB+s (ACAB)=(rs) AB+s AC= k AQ rs 0 ( rs ( Q OCQ BC k k DG SEF AQSAQ Q Q C DGSEFSAC () (35) ab ta a= ta b= ta 0a+ b = (, ) ta a + ta b ta b ta 0 a+ b = ta b = taata b ta b = =ta b=b= 4 ta 0 + a b =ta a+ 8 9 = ' = ta a =' + ta 0 a+ b = = 0 + 0 = 0 () (4+)()=0 + 4 =0 + = + 4 =+ 5 = =6 + = + 4 =+ 5 ( 6' '(, ) 8, 9 8 3, 39 8 4, 49 8 5, 59 8 6, 69
+ = 3, 8 3, 5 4, 4 5, 35 6 = =3 (, ) (, 3 ) ab + ta 0a+ b = = 0 + 0 = + = + 4 0 0 = 6=0' ) + 4 0 ) + 8 3 ( 0 + 8 9 + 3 0 3 (0 + ( (3 =,, 3 =3 = (35) ABC 4A = ABC 3 ABCP4BPC () ABCr 4BPC=(4PBC+4PCB)= (4ABC+4ACB)= (4ABC+4ACB) 4ABC+4ACB=4BAC= 3 + 4BPC= 3
() A 4A = 3 3 A BC c P b 4BPC = BPC 3 B a C BC P 3 A A A P P P P A BC 3 ABC r P BC r = cosh P P P ABC 6 4B 4C 0(h 6 U 3 cosh (+ U 3 r=cosh ( A A P P B r C h
() A 4A = 3 4BPC = 3 P BC A 3 BC P 3 BC r r P BC 4A 4B 4C A B C abc a si A = b si B = c si C = A= 3 a= U3 ABCS= bcsia= U 3 4 bc ABC S= r(a+b+c)= r( U3 +b+c) S + r= U3 + b+ c = bc U3 0U3 + b+ c a = b + c bccosa 3= b + c bc=(b+c) 3bc + bc= 3 {(b+c ) 3} r= bc U3 0U3 + b+ c = 0b+ c 3 U3 0U3 + b+ c = U3 (b+c U3 ) b+c=(sib+sic )sic =si 8 3 B 9 sib+sic =sib+si 8 3 B 9 =sib+si 8 3 9 cosbsibcos 8 9 =U3 8 U 3 si B 9 3 = 3 sib+ U 3 cosb + cosb = U3 si B+ 8 69 ABC 6 B 3 U3 si B+ 8 69 (U 3 3b+c=(siB+siC )(U3 U 3 r(
(35) a ) 00 ( x ( U y=xe x y=axx=u S0a S0a y=xe x y= e x xe x =(x) e x y=axx=u xe x x =ax+ x( e a)=0+ x=0log e a a a a = U e a e U a a= x=0 S U e S0a a ( a x =log a a= e S0a = x Q 0xe axdx+ 0 Q U e x a xe < = x 0axxe dx = x e =e e a ++U e U + e U +a x + xe 0 x x a + e + < = x =aaa U ++(U +) e =a(+) U ++(U +) e S0a = =(+ log e a )(log e a ) S0a =0a= e S0a a= e =S S 0 a = e =4e U +(U +) e + U y y=x x=u y= e U x y=ax a y=ax y= xe x O 3 4 x a S0a S0a U e e 0 +
as ax=0s a x xe dx=xe Q x e x + Cost. (35) X X 3 i a i X X Y = i= X = a P a i X 3Y 3 ) m Y 3m 3m 3m+ Y 3m 3m 3m+ P Q R a... aa 5 = 5 Q = P {( a =)+( a =4)}+ Q ( a =3)+ R {( a =)+( a =5)} = 5 ( P + Q +R )= 5 ( Q ) P + Q + R = Q 3 = 5 8 Q 39 + Q 3 = 8 Q 59 8 9 3 = 8 59 8 5 39 = 8 59 3 = Q = 5 + 3 = 5 a =3 Q = 3 + 3 8 59
(3) (3) (3) 3 3 3 () X = aa... aa (3 ) (3 ) (3 ) X = aa... aa =0X + a 0%(3)+ a =0%30+ a =0%39+ a = (3)a 0%(3 )+ a =0%3+ a = (3)a 0%(3)+ a =0%30+ a =0%39+ a = (3)a X 3 X = (3) (3 )a 3 a =4 X = (3) (3 )a 3 a =3 X = (3) (3 )a 3 a =5 X 3m 3m 3m+ P Q R Q = P {( a =)+( a =4)}+ Q ( a =3)+ R {( a =)+( a =5)} 0 X 3Y 3 0 X = aa... aa = a0 a 0... a 0 a 0 = = a ( 0 )a ( 0 )... a ( 0 )( aa...a = (3 )( aa... a a )=(3 )Y ( 0 ), ( 0 ),..., ( 0 ) 9 3 X (3 ) Y (3 ) Y (3 ) X (3 )X 3Y 3 a ) EFSAC
aa 7008 500 (30) y= x 3 4x+ C l C P (3, 0) l C l S C l Q (a, b)y= x 3 4x+ y=3x 4 y=0 x=$ U3 Q l 3a 4 l y=(3a 4)(xa)+b=(3a 4)(xa)+ a 3 4a+ l P (3, 0) 0=(3a 4)(3a)+ a 3 4a+ (3a 4)(3a)+ a 3 4a+=(a+)(a a+)=0 a= $ U33 4 l 3a 40+ U3 a U3 a a=l y=x+3 Cy= x 3 4x+ly=x+3 (x+) (x)=0
y C l 3 S = Q 60x30x 4x+ 7dx l y Q 4 y= x 3 4x+ = 4 x y * 3 x + + < 4 = U3 U3 + + x x = 7 4 * O (, ) 3 P x y * * Cl (30) 0.300 log0 0.30 00 () 00 5 00 m 00 m = 0 0 = m log0 00+ 00 log 0.300 log0 0.30 00 0.30 00 log 00 0.300 33. 00 0.30 00 0.300 33.333. 00 log 33.3 ( 33 00 333 33 log 0 00 33+= 333 () 00 5 0 99 ( = 5 00 0 0 (, )'(0, 0 ) 0 0 0
) 5 = (!5) = 0 99 ( 0 00 0 = 0,,,.., 99 00 0 m 333 ( 5 = 0 99 ( 5 5 (!5 ) = 5 0 00 0 =0,,,.., 99 5 5 00 0 5 m m m = 5 log 0 5 = 0 43.06 00 0 log0 log 8 0 9 5 00 + =log 0 + 0.6989 log0 5 0.6990 00 log 5 43.08 ( 43 00 log 5 0 0 0 0 00 log 5 0 44 + 43 m 44 00 5 (, )=(0, 0 ) 33344=476 m = () 00 0 99 0 ( = 5 = (!5 ) = 5 00 0 0 = 0,,,.., 99 0 00... 00... 00... (30) OA (0,, )l B (0,,)C (,, 3) m l P Q m R PQR PQR PQR loa = (0,,) OP = OA = (0,, )OQ = OA = (0,, )
m R OR = tob+(t)oc = t (0,,)+( t) (,,3) =(t,,4t3) PQ = OQOP = (0,+,)PR = OROP = (t, +, 4t3) QR = OROQ = (t, +, 4t3) PQ =( ) PR = (t ) +( + ) +(4t3 ) QR = (t) +( +) +(4t3) PQR +=4t5 () =(t) +( +) +(4t3) =(t) +( +) +(+) + =4t 6t+ () =(+) 4=(4t5) (4t 6t+)=8t 8t+3 8 9 =8 t ( ) = + ( ) t= PQ t= +=4t5=3 =$ == = = P (0,, ) = (0,,)Q (0,, ) = (0,, ) PQ OR = (t,, 4t3)=(,,)+ R (,,) m R OR = tob+(t)oc (30) ab ta a= ta b= (A)ta 0 a+ b = (, ) ( 3 () (A) (, ) 3
+ ta a + ta b ta 0 a+ b = taata b = = 0 + 0 = 0 = tab=b= 4 ta 0a+ b =ta a+ 8 9 = ta a =' = = + ' = 3 0 = 0 = + ( 3 (, ) (, 3 ) () 3ta b= 3 ta b = 3 4 ta a + ta b ta 0 a+ b = = taata b = taa= tab + tab 3/4 + 6/4 = + + = = 6=0 =3$U0 (A) (, ) 3 ( 3 = 3 (30) M L ML X X = () X = 5 X = (M, L )(, )(3, )(4, 3)(5, 4)(6, 5) 5 P C k= P C k C 0 C = = 6 X = 5 0 6 k= k= 0
() X = 5 (M, L )(6, ) 6 V X = 5 6 V C V P0V P0V =P 0V C 6 U 6 U V C = U 6 U U 6 3U U 6 =,, 3, 4, 5 = 5 U =, 3, 4, 5, 6 = 5 U 6 3U =, 3, 4, 5 = 4 V C = 5 + 5 4 P 0V C = 5 4 P0V = P 0V C = 6 5 89 6 89 3 + X = ML= (, ),,...,,,,...,, P C k (+) = P k k C k0 0 k= 0 k= = P C kp C k= k= 0 () X = 5 (M, L )(6, ) 6 X = 5 6 k= 0 6 6U 6 5 U 5 6 V 6 U 6 3U 4
0 50 3 () PQR 3 7005