121_중등RPM-1상_01해(01~10)ok

Transcription

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2 Í = + =,, Í=Í=Í = = Í Í Í,, c 5c 3, 3 3, 6, =180 = =180 =60 60 = y=180 y=10 =60, y= =180 =70 y= =70 =70, y= = y= y=180 y=85 =35, y= = y= y=180 y=60 =90, y= c g h b h c ad, d+10 =180 d=60 b f f= a=15 b+15 =180 b=55 c= b= a=15, b=55, c=55 =70, y=50 y+ z+70 = z+70 =180 z=60 001, p = =80 00, p 55 + =110 =55 003, p, q = = , p, q = = =70, y=50, z= p 80 p 55 p q 100 p q = = = ==5 ==8 58

3 0030 ==8 ==1 H N =;!; MÚ MÚN =;!; MÚ =;!;_;!; =;4!;, a=6, b=10 b-a=10-6=4 4 a=10, b=15 a+b=_10+15= =3P =3_ M = 6 M MQ =MP +PQ =MP +P =MP +MP =3MP 0033 = Í, Í, Í, Í, Í, Í, Í, Í 6 6_= _(4-1) =6 MÚP = ;3!; MÆÚQ 6 ;3!; 004 M, N, MN =M +N =;!; +;!; MN =;!;( + )=;!; M N 0043 MN =M +N =;!; +;!; MN =;!; +;!;_;!; MN =;4#; =;3$;MN =;3$;_1=16(c), 16 c _(5-1) =10, 10_=0, 10 10, 0, ,,,,,,,, 6,,,,, ,,,,,, 4 Í, Í, Í, Í, Í 5,,,,,,,,,,,,, =3 =;3!;, =M =;3!; =;3@;M =;3@;_6=4(c) MN =M +N =M +;!; MN =6+;!;_4=6+=8(c) 8c 0045 = + = + =3 =18(c) =6 c = - =18-6=1(c) = + = + =3 =1(c) =4 c 4c 30% 0% 50% 3

4 RPM 0046 P =;3!; PF =;3!;_15=5(c) F =PF -P =15-5=10(c) = = = =F =;5!;F =;5!;_10=(c) M =;!; =;!;_=1(c) M = +M =3_+1=7(c) 7c 0056 O=a O=5a=90 a=18, O=b O+ O+ O=90 a+b+3b=90, 18 +4b=90 b=18 O=a+b= = (5 +0 )=180 6 =10 = (5 +40 )=180 5 =110 = =180 9 =180 =0 O=3 =3_0 = ( -10 )+ +(3 +40 )=180 6 =150 = (3-0 )+90 +( +40 )=180 5 =70 = =90 =60 60 y+50 =90 y=40 + y=90, +40 =90 =50 =50, y= O+ O=90 O+ O=90 + O+ O+ O=180 O+ O=50 O=130 O= O=aO=4a O=3a=90 a=30 O=90-30 =60 O=b O=5b=60 b=1 O=a+b=30 +1 =4 4 O 40% O 40% O 0% 5 O=3 O O=;5#; O yy 5 O=3 O O=;5#; O yy + O+ O=;5#;( O+ O) O+ O=;5#;_180 =108 O=180 -( O+ O) O= = O=a O=b O=4a O=4b 180 4a+4b=180 a+b=45 O=a+b=45 O=4 O O=;4!; O O=4 O O=;4!; O O= O+ O O=;4!; O+;4!; O O=;4!;( O+ O) O=;4!;_180 = y+ z=180 yz= y= _180 =;6!;_180 = y+ z=180 yz= z= _180 =;9%;_180 = y+ z=180 yz=3 5 3 = _180 =;1 0;_180 =

5 y ( +10 )+(3-10 ) ( +30 )=180 5 =150 =30 y= +10 = = =145 = =30 + = , ( +10 )+( -10 ) =180 6 =180 = = =360 = ( -10 )+50 =90 =50 y+30 = y=110 y- = = % y 40% y- 0% c, na f,, n a p, n q d,, nq h ad = d= =85 d b y= b= =15 +y= = a a= = = = = y= =70 f, p d, h y a n = + y=180 y= 3 +3 _180 =;5@;_180 =7 z= = O O 5 5_(5-1)= H H 0070 P P p q = y=180 y=60 - y=10-60 = =180 =110 ny=70 - y= =40 = =130 y= =80 - y= =50 p q 10 y y n y y

6 RPM 0079 =50 n ky+ =180 y+50 =180 y=130 y- = = k 50 y y n p q 55 n p a=130 p ( +30 ) +( +0 )=180 3 =75 = =180 = =180 = =180 = y+80 =180 y=60 - y= = a p q p p y % y 40% - y 0% 0088, p 3 + =90 =58, p = = , p +( +10 )=85 3 =75 =5 0090, p =180 = , p, q 60 - =45 - y - y=15 009, p, q, r 75 - = =14 = , p, q 110 +( -30 )=180 = p p y y y p 5 p p q 15 p q r 31 p q 100 6

7 0094, p, q ( -30 )+( y-5 )=180 + y= y p q 35, 30% + y 70% 0099 F= FG= F G G= GF =;!; F =;!;_( ) =55 =180 - G= = , p, q = -40 = p q = =48 = =;!; PQS= 0097 =a, =b =;3@; =a =;3@; =b, p 180 a+(a+b)+b=180 a+b=60 SQR= Q, p PQR= =60 PQR= PQS+ SQR 60 =+, 3=60 =0 SQR==0 =a+b= , p, q, r a+ b+ c+ d+ e =180 P S R a b a a b a+b c e a+b+c d Q a b b a e p p 60 p q r 180 =;!;_48 =4 =180 -(90 +4 )= =180 =55, 180 y+ =180 y+_55 =180 y=70 y- =70-55 =15 y F=35 F=180 -( )=55 F= F=55 =180 -( )=70 F= F=35 y=90 -( )=0 - y=70-0 = % y 40% - y 0% 7

8 RPM ,,, p bf p 0110 e h n f g, 180 a+ b=180, c+ d=180 b= c a+ c= a+ b=180 a= d b+ d= b+ a= a a b d b d c c s p r q n,, 011 a=4, b=6 a+b=10 O=a, O=b O=a, O=b 180 a+a+b+b=180 3a+3b=180 a+b=60 O=a+b= =150 = OO 78 = +( -1 ) 3 =90 =30 O=3-0 =3_30-0 =70 O=180 -( )= O, p (3-0 )+( +40 )=10 4 =100 =5 0116, p, q ( -5 )+( y-30 )=180 + y= b= c= 0118 a= _180 =;1 0;_180 =36 _180 =;1 0;_180 = _180 =;1 0;_180 =54 MÚN =;7#; =a+b ;7#;(5+a+b)=a+b 15+6a+6b=7a+7b a+b=15 5c ac ac bc bc M N MÚN =a+b=15(c) O p 5 y p -5 q 15 c 8

9 0119 =140 = =180 O=a, O=b O=5a, O=5b 180 5a+5b=180 a+b=36 O=a+b=36 011, p =180 = p 3 015, p, q ( -40 )+ +(90 - )=180 =130 =65 016, p F F=90 (3 +0 )+( -10 )=90 5 =80 = p q 65 =45 G= -10 =_16-10 = G=45 - =3 = G=3 3 F G p 01 X'=a, Y'=b =a, =b XX'ß, YY'ß p X'+ Y'=180 3a+3b=180 a+b=60 =a+b= a=75 X X' a a a p b b b Y Y' 60 a+65 + b= c b= d a b b=40 c= b=40 = d c+ d=180, 40 + d=180 d=70 a=75, b=40, c=40, d= , _9+0.5 _0=80, 0 6 _0=10 9 0, = , p 15 p =60 =45 018, p p G= GF=8 8 8 F G =63-8 =35, = = =180 =55 45, 40% 60% 55, 0% 40% 40% 9

10 RPM p, q + G 3 3 = I F = + H J F= +45 -( + )=3, FG= F=3 GFH= IHJ= -7 =3 + =30 p q , p, q p y q +y z + y+ z+36 = y+z + y+ z= , 0% 40% + y+ z 40%, 0% 40% 40% = = + =3 =;3!; =;3!;_7=9(c) = - =7-9=18(c) = = + =3 =;3!; =;3!; _18=6(c) 6c 40% 0% 40%, p F= =180 =80 = =30 = =30 = =180 = p F , 0% 60% 0% 0133, p =5, =75 =5 +75 =100 =4 1 =;4#; =;4#;_ = % 60% Í, Í, Í, Í, 0134 Í, Í, Í, Í(=Í=Í) 8,,,,,,,,, 10,,,,,,,,,,, 18 p 8, 10, 18 30% 30% 40% 10

11 GH =4 c 4c ,,,, 016 H =3 c 3c F, FG, GH, H FGH F, FG, GH, H 0140,, 0167 F 0141, 0168, F, F 014,, F, J 0169, F, F, F , ,, F ,, F,,, F,, F, F, HG,,, F n G, H, H, FG,,,, 0179 Í Í, Í, Í, FGÍ, GHÍ, HÍ Í Í Í Í ,,, H, H 0181, n n, n n n , F FGH,, F, HG , 1 11

12 RPM 0184,,, ,,,,,, a=1,, 3 b=3 F, F, F 3 c=3 a+b+c=1+3+3= F G, H 0188 F F a 30% b 30% c 30% a+b+c 10% F, F,, 4,, F, F ,,,, G F, H, F, FG, GH, H, FG,,, H, FG H, G H G,, H, H, F, , H, I, J, GH, H I, I J, JF a=7 G H, I, J, F b=4 a+b=7+4=11 F, GL, IÆJ 3 a=3 F G, FL b= F H, I, J, K, GH, H I, JÆKÚ, KL 8 c=8 a+b+c=3++8= , F, HI H GLF, FLK, JK, IJ 4 I F, GHIJKL IJ F, GL, H, G, FL, K

13 0197, F, F 3, F F 1, F G,,,, F, H 6 G F, H FGH FG, FGH a= G, H, FG, GH, H 5 b=5 F, FGH c= a+b+c=+5+= ,, FG, GH F, FG, GH, H FG,, F, GH GH GH 30% 30% FG 30%,, 10% 001 F, F, F 3 a=3 F,, F 3 b=3 F, F, F 3 c=3 abc=3_3_3= F 3c F 6c F F 4c 3c 6c 4c , P Q Í P P H P, P, n, FH, FGH, 008 P, Q, R 009 P Q R FGHIJKL, GLFIJ, HGJK, HI FLK F, G,, 4, G, F 3 FG, G,, F, G 5 G, FG, 3 F F, FG 13

14 RPM 011 F,, H, HG 4 01 F a=1 F, F, F 3 b=3 3a-b=3_1-3=0 a 40% b 40% FG, FG, F, G, FG, G 015 F,,,, G 5 a=5 FG, G, F 3 b=3 a-b=5-3= 016 IM, F,,, GH, G J, KL, K N 8 8 F I M 017 F, H, GH 3 FGH,,, 4,, G, FG, GH 5 ML G, H, N K 3 N ML 018 J H (, M) F(J, L) () K N G(I) H 3 J (G, I) 0 3a-b 0% H (, F) 019 (G) (F) JHI N K (H) (I, M) J(L) 00 J H JÚ, (G, I) H GF (, F) JHÚ, JÚ, H JHÚ, 50% GF 50% 01 F (, F) 0 (J) (K) M G I (I) 03 M L(N) (H) F (G), n, n n n n, n, n n n 14

15 P Q, Q R P, R 09, n P R Q P R Q 030 FGH, H FG P Q, Q R P R P Q R 031,, n, n n, P Q P Q Q P R P Q 03,, 033, F 034 F, F, F 3,, H P Q R ,, 06 P, Q,, n, 038 F (, ) F F 07, n Q, R, 08, , n n n GH,, GF, H I 4 F, I, J, GF, FJÚ, JI, H I 7 GF,, 15

16 RPM 041 MFGL F 04 G= , n, n P, Q P, Q P Q, Q R P, R P, P, n G P n P Q P R Q P Q R (I) Q P P n J(N) (, H) P L (G) K(M) F 90 P P, 046,, G, F, FG 5 FG FG, FG FG 1 FG, G, F 3 FG,, G 3,, 047 F K N (G) J G J(L) ML (, H) (I, M) NF JÆHÚ 048 Q Q P, (,, ), (,, ), (,, ), (,, ), (,, ), (,, ), (,, ), (,, ), (,, ), (,, ) ,,, 045 MHIL N 5c 4 c 5 c M (, K) L(N) 7 c H F(, J) G(I) 5c 051 F,, G,, G FG,, G,, G FG F 60% 40% 16

17 05,,, G, G, FG, GH,, G, F, FG, GH, H FG, GH FG, GH 40% 40% 0% 053,, F, F 4 a=4 F 1 b=1 a+b=4+1=5 5 a 40% b 40% a+b 0% 054 GL,,, F, H, I, J, K 8 a=8 F GH, H I, I J, JKÚ, KL, LG 6 b=6 a+b=8+6=14 14 a 50% b 40% a+b 10% 055 FH FGH H F G 50% FH 50% 056 G,, F, H, F, H 6 a=6 F,, H, FG 4 b=4 a+b=6+4=10 10 a 50% b 40% a+b 10% 057 J H J, H a= (I, G) JÆHÚ, H, H 3 b=3 (, F) a+b=+3=5 5 a 40% b 50% a+b 10% 058 I, ÚH, JK, F, GH 5 a=5 H, K, F, HG 4 b=4 FGJI H 1 c=1 a-b+c=5-4+_1=3 3 a 40% b 30% c 0% a-b+c 10% 17

18 a +7>a a<9 7 a+>7 a>5, 5<a<9 5<a< a 8+6>a a< a>8 a>, <a<14 <a< ,, O, P, P P = =5 3+4>5 083, 084, <8 7+8>9 a 3+5>a a<8 5 3+a>5 a>, <a<8 <a<8 ( )<a<( ) 5-3<a<3+5 <a<8 075 a 4+10>a a< a>10 a>6, 6<a<14 6<a< , 5+4>8 F =4 F y=7 a=85 Fb=55 =4, y=7, a=85, b=55 18

19 HG =6 a=70 F, H b=360 -( )=75 =6, a=70, b= SSS SS =, = = F S S, O OX, OY, P O PQ P XOYP =, O O =O P O O =P XOYP O= P 0303 c 4+8> <1 8 c 4+>8 >4, 4<<1 5, 6, 7, 8, 9, 10, < (-)+(+4)>10 >8 >4 +4 (-)+10>+4, 8>4, > >9, 5+8=13 5+9>13, 8+9>13 (5 c, 8 c, 9 c), (5 c, 9 c, 13 c), (8 c, 9 c, 13 c) % 50% 10% 0307 =180 -( + ),, 0308 c b a c b, a, 19

20 RPM 0309, ( )=60 7c (50, 70 ), (50, 60 ), (60, 70 ) > = +,, 031,, =180 -( + ),,,, 0313, =180 -( )= < c H c 78 F G 7 c FGH = =111, =H =5 c =FG =7 c, =F =4 c = G= c 1c 4c c 0317 F = =6 c =6 = =180 -( )=45 y=45 +y=6+45= S,, 033 S SS S SSS ( )= ( )=90 SS, S, SSS ( )=38 (S ) 030 IGH(S ) JLK(SS ) MON(SSS ) y 10 c 6 c c c F =F SSS = SS SSS 0

21 035 SSS 0335 SS 036 = = SSS = = 50% 30% 0% O SS M PM SS = = + = + = SS = S OP OP OP OP S 033 F = F F = F F =F +F =F + =F F S 0333 = ( ) = ( ) = + =60 + = + = (SS ) =, = = 0334 F S = =4 c, =F =3 c = F=90 F(SS ) F = =5 c 5c FGH F F F =F =3 c = H=75 = =360 -( )= >+4, O O =O = P O O =O, O =P O =P =H =6 c =6 = F=10 =360 -( )=80 y=80 +y=6+80= S, S, SS 034 F F 0343 c 9-5<<9+5 4<<14,,

22 RPM , = = =60 = = F = = = =F F F SS F = =F F F=60 F= F+ F= F+60 F= + F= +60 F+ F+ F =, =,, = =60 = = =10 (SS ) = a, = b a+ b=180 - a+ b= =60 P P= = a + a+ b=180 = = (3, 4, 5), (3, 4, 6), (3, 4, 7), (3, 5, 6), (3, 5, 7), (3, 6, 7), (4, 5, 6), (4, 5, 7), (4, 6, 7), (5, 6, 7) 10 (3, 4, 7) 3+4= ( )=75 10 c (45, 60 ), (45, 75 ), (60, 75 ) OO O =O =500 O= O=55 O= O() O O(S ) = = = = =45 SS = =65 =180 -{45 +( )}= OO O =O, O,O =O O O(SS ) = =8 c O= O O=180 -(55 +5 ) O=100 8c = =60 - = = SS = =, = 0355 =, = =60 + = (SS ) = = + =5+6=11(c) = 0356 =, = =90 + =90, + =90 = = (S ) = =3 c = - =18-3=15(c) = =15 c 15 c

23 0357 = ( ) = ( ) = =60, = =90 = =90-60 =30 (SS ) =, = + = + =180 - = = c (+3)+>9 >3 (+3) c 9+>+3 9>3 >3 >3 9c 40% (+3) c 40% 0% 0359 =180 -( + ) 30% 70% 0360 F = = F = F F S FS F 70% 30% 0361 F =, = F=90 =F F(SS ) + =90 F = F F+ =90 PF= P= =90 F, SS 90 50% PF 50% 036 =, = = =90 + =90 + = SS SS 70% 30% 0363 F F =, = F=90 + = F SS, SS 3

24 RPM 70% 30% 0364 F,, = = F = = F= = =60 F (SS ) Q, R, FP Q= R= FP = =F Q= R= FP Q R FP(S ) Q =R =P, Q =R =PF, F = = PQ =QR =RP PQR, F 50% PQR 50% , 4, 4, 6, 6, 7, 7 3, = = _ 0365 OHOI O =O OH= OI=45 OH= O- HO =90 - HO = HOI- HO = OI OH OI(S ) OHI= OH+ OI = OH+ OH = O OHI=;4!; OHI=;4!;_1_1 OHI=36(c ) 36 c OH OI 40% OHI= O 30% OHI 30% _(6-3) 9_(9-3) 11_(11-3) 0_(0-3) =9 =7 =44 =170 n n(n-3) =14, n(n-3)=8=7_4 n= n n(n-3) =35, n(n-3)=70=10_7 n=

25 0387 n(n-3) n=13 n =65, n(n-3)=130=13_ n n(n-3) =90, n(n-3)=180=15_1 n= _(5-)= =540 = _(6-)= =70 = =360 = =180 -( )= = = = = =180, = = +45, = =90 = _(6-) = = = =60 10, _(9-) = = = =40 140, _(7-)= _(10-) = = _(9-)= = =36 144, _(1-)=1800 n 180 _(n-)=70, n-=4 n= n 180 _(n-)=1080, n-=6 n= n 180 _(n-) =108 n 180 _n-360 =108 _n 7 _n=360 n= n 180 _(n-) =150 n 180 _n-360 =150 _n 30 _n=360 n= n 180 _(n-)=160, n-=1 n= n 360 =4 n=15 n n 360 =45 n=8 n 5

26 RPM 041,,,, ,, ,, 3 = =70 y= =80 + y= = = =130 y= =60 - y= = = = =180 3 =150 = , = n n-3=1 n= a=1-3=9 b=1-=10 a-b=9-10= n n n n=9 9-3= n-3=10 n=13 13_(13-3) = =65 -n=_65-13= =9 a=9 1_(1-3) =54 b=54 a+b= _(6-3) =9 n (n-3) n-3=9 n= _(7-3) 0430 =14 n n(n-3) =65n(n-3)=130=13_10 n= = n(n-3) n =0n(n-3)=40=8_5 n=8 043, n 35 n(n-3) =35, n(n-3)=70=10_7 n=10 6

27 0433 n(n-3) n =135n(n-3)=70=18_15 n= _(0-3) 0+ =0+170= _(6-3) = _(6-3) 6+ =6+9= _(7-3) = =180 =73 3 +( +30 )+(4 +15 )=180 9 =135 = = = =3 = =180 ( +30 )+ +3 =180 5 =150 = % 10% 40% 40% 0441, 3, 7(>0) +3+7=180, 1=180 =15 _15 = _ = ( +0 )= +50 =30 = = =60 = = =50 = = = + = = =180 =44 =60 +5 =85 = = = =10 = ;!; = ;!; _74 =37 = = = =5 = ;!; = ;!; ( ) = ;!; _70 =35 = + =5 +35 = = =35 = =_35 =70 = + = = = = ;!; _( )=40 = =70 y= =110 + y= = =70 I+ I= ;!; _( )=

28 RPM I = =15 =90 +;!; =90 +;!;_70 = =80 I+ I=;!;_( )=50 I = = =90 +;!; =90 +;!;_80 = I I+ I= =60 + =_( I+ I) =_60 =10 =180 -( + ) = = % 40% 0% 0456 = = = = + =, = = = = + = + =3 3 =105 = =3 =35 10 =90 +;!; ;!; =30 = =80 + =;!; =40 + yy 0457 = = =40 = =80 = = =80 = =10 10 = +, =40 =;!; =;!;_80 =40 yy = = =50 = =100 = = = =180 -( )=64 =;!; =;!;_64 =3 F= =134 F=;!; F=;!;_134 =67 F= + 67 =3 + = = + =;!; 0459 = =8 = =8 +8 =56 = + =8 +56 =84 = =84 =8 +84 = = =140 + =(180 - )+(180 - ) =360 -( + ) = =0 =;!; + yy =0 + yy, ;!; =0 =40 40 P+ P= ;!; ( + ) P+ P= ;!; _0 =110 P =180 -( P+P) = =

29 =90 - ;!; _40 = P+ P= =1 + =( P+ P) =_1 =44 + =(180 - )+(180 - ) =360 -( + ) = =116 =180 -( + ) = = P+ P= =11 + =( P+ P) =_11 =4 + =(180 - )+(180 - ) + =360 -( + ) + =360-4 =136 =180 -( + ) = = =180 -( )=80 =180 -( + ) = = = = =40 + +( + ) = = = =65 =180 -( ) =180 -( )= G GF=30 +0 =50 F FG= =95 GF 180 =180 -( )= J J= =65 FJ = = G = =90, F y=180 -( )=80 + y= = n n-3=8 n= _(11-)= n F G F J G I H _(n-)=1800 n-=10 n=1 G y 35 F = n 180 _(n-)=160, n-=7 n=9 a=9 b=9-3=6 a+b= _ = % 30% 40% 9

30 RPM _(5-)= =540 5 =75 = _(6-)=70 a+ a =70 a=140 a= = = =360 -( )= O= O= a, O= O= b 360 ( a+ b)=360 -( )=130 a+ b=65 O =180 -( a+ b)= = (180-8 )+ +( )+67 + y=360 + y= =360 = ( )=360 5 =105 = ( ) ( )=360 = a+ b= + y 180 _(5-)=540 ( a+87 ) (70 + b)=540 b a y 1 9 a+ b=540 -( )=70 a+ b= + y + y= = F+ F =0 +30 = ( + )+ =180 =180 -( )= F 45 h d+ e= + y a d g b e 180 _(6-)=70 a+ b+ c+ d+ e+ f+ g+ h c f y = a+ b+ c+ + y+ f+ g+ h = k g+ h= i+ j a d e+ f= k+ e f g h 360 b c i j a+ b+ c+ d+ e+ f+ g+ h = a+ b+ c+ d+ k+ + i+ j = G GH= =80 HF H=5 +40 =65 HG y =360 + y= ( a+46 )+( b+ c) +( d+ e)+( f+ g) =( ) =360 a+ b+ c+ d + e+ f+ g= H GH= a+ b G HGF= c+ d F 80 G 65 y H 30 c b b c d a 46 a+46 f+g g b+c f d+e d e a+b H e 314 a G F 40 c+d 30

31 HFG 360 ( a+ b)+( c+ d)+ e+40 =360 a+ b+ c+ d+ e= a+ b+ c+ d+ e+ f+ g =(7 ) -( )_ =180 _7-360 _ = = n n(n-3) =0, n(n-3)=40=8_5 n= _(8-) = _(8-)= =6 360 = = =1440 n 180 _(n-)=1440 n-=8 n= = =180, 5=180 =36 n =36 n= =10 n 36 a=180 _(10-)=1440, b=360 a-b= = =180 _ = , 7+=180, 9=180 =0 n = =40 n= =9 n = _(5-) =108 5 = = ;!; _( )=36, = = ;!; _( )=36 F = + = = _(5-) =108 5 = = ;!; _( )=36 = = F 360 = =7 5, F F=7 y=180 -(7 +7 )=36 - y=7-36 = = + =7 +60 = _(6-) =10 6 = = = ;!; _( )=30 = = = ;!; _( )=30 G = + = =60 31

32 RPM _(5-) =108 5 G= F=4, n (108-4 ) =180 3 =36 = G F 4 4 n , n 360, _(9-3) a= =7, b=9-=7 a-b=7-7= =1 15-= n _(n-)=900, n-=5 n= ( +10 )+30 =3-10 = ( )=360 =85 (180 - )+60 +( )+( )+80 =360 = F FG=35 +4 =77 45 G GF=45 + =67 FG + FG+ GF= =180 = =360 -( ) =105 =180 -( + ) = = F F=35 +0 =55 G G=55 +0 =75 H H=75 +0 =95 I =95 +0 = =16 =30 =66 + = = =180 -( ) =60 =180 -( + ) = =10 =180 -(6 +40 )=78 = ;!; =;!;_78 =39 = =140 = ;!; =;!;_140 =70 = + 70 =39 + = F G

33 051 n 1000 <180 _(n-)<1100 ;; 9º;; <n-< ;; 9 ;;, ;; 9 ;; <n< ;; 9 ;; n n=8 360 = = = _(5-) =108 5 = = ;!;_( )=36 =36 =108 -( )= = =100 I+ I= ;!; ( + ) I+ I= ;!; _100 =50 I =180 -( I+ I) = = GF HG=30 + b H GH= a+ c GH 360 b (30 + b)+( a+ c)+ d+ e=360 a+ b+ c+ d+ e=330 c G a 30 F H d e , 3, 4(>0) +3+4=360 =40 80, 10, , 60, 0, = =110 + F=(180 - )+(180 - ) =360 -( + ) = =50 + =;!;( + F) 050 G F+ F= FG+ FG a+40 + b+ c =_( )=360 a+ b+ c= P =P P= P, P= =150 =;!;_50 =15 =180 -( + ) = = _(7-3) 7+ =7+14= n F a+ b+ c+ d+ e + f=360 n e a c c b a d+f c F d f P= ;!;_( )=15 Q =180 = a= =7 5 b= b= b=7 +45 = c= =45 8 =360 -( a+ b+ c) =360 -( )=16 F a b c K G H I J 16 33

34 RPM 053 n _ = n n 360 =7 n=5 n 5_(5-3) =5 5 40% 40% 0% + 40% F+ F 30% 30% =360 + =160 + = (360 - )=360 = % 50% 054 =3 + = ;3!; = ;3!; (3 + ) = + ;3!; yy, = +0 yy, + ;3!; = +0 = = = = = + = = = = = + =3 yy = = =78 yy, 3 =78 =6 6 40% 40% 0% 30% 40% 30% _(5-)=540 ( ) =540 + =18 yy F = F, = F yy F+ F=18 F+ F=109 F 180 +( F+ F)=180 = = P _(5-) = Q n P= T=3 T= Q= (108-3 ) =180 =36 =18 n T R 18 34

35 05 0% 40% 40% 0531 O _(6-) 6 =10 = = ;!; ( )=30 F =F O μ O F= ;!; ( )=30 G G=180 -( )=10 = G= % 30% F 30% 30% =6 6 = =30 60, 4 =1 = =40, 1 3=40 = = = G, G 5 GG G+ G = G+ G F =( ) =+( F) = = =360-5 = G+ G= G+ G 40% =360 40% % = 4, 1 4= 4 4=4 = =6 1, 50 =1 = = = =p_5=10p c =p_5 =5p c 10p c 5p c 0547 =p_4=8p c =p_4 =16p c 8p c 16p c 35

36 RPM 0548 =p_7+p_4=14p+8p =p(c) =p_7 -p_4 =49p-16p =33p(c ) p c, 33p c 0549 =p_1+p_3+p_4 =p+6p+8p =16p(c) =p_4 -(p_1 +p_3 ) =16p-(p+9p) =6p(c ) 16p c, 6p c 0550 r c pr=6p r=3(c) 3 c 0551 r c pr=1p r=6(c) 6 c 055 r c pr =36p, r =36 r=6(c) 6 c 0553 r c pr =49p, r =49 r=7(c) 7 c 0554 =p_9_;3 6º0;=3p(c) S=p_9 _;3 6º0;=;; ;;p(c ) =3p c, S=;; ;;p c 0555 =p_8_;3 6 0;=p(c) S=p_8 _;3 6 0;=8p(c ) =p cs=8p c 0558 =p_6_;3 6º0;+p_3_;3 6º0;+3+3 =p+p+6=3p+6(c) =p_6 _;3 6º0;-p_3 _;3 6º0; =6p-;#;p=;(;p(c 0559 (3p+6)c ;(;p c =p_7_;!;+p_4_;!;+p_3_;!; =7p+4p+3p=14p(c) =p_7 _;!;-{p_4 _;!;+p_3 _;!;} =: ª:p-{8p+;(;p}=1p(c ) p c, 1p c p_8_ =p =45( ) =;!;_9_p=9p(c ) μ`, O, O μ p c < =4 3=4, =1 =6 30 y = y=1 y=60 0= =1 4 = =p_3_;3@6$0);=4p(c) S=p_3 _;3@6$0);=6p(c ) =4p c, S=6p c =( +40 ) (140 - ) 1 =( +40 ) (140 - ) = +80, 3 =60 = =p_6_;3@6&0);=9p(c) S=p_6 _;3@6&0);=7p(c ) =9p c, S=7p c 0568 O c = =1 6 =36(c) 36 c 36

37 μ` =4μ` μ`μ=4 1 OO=4 1 1 O=180 _ = OOO=μ` μ μ = O=360 _ = OOO=4 5 6 O=4 O=5 O=6 > =360 15=360 =4 O=6=6_4 =144 μ μ=4 5 OO=4 5 4 O= =180 _ = O= O= O = O= O+ O=, O O =O O= O= O= O+ O=3 4 μ= 3=1 : 3=1(c) μ 0576 O =P OP= PO=0 O OP 15 c 0 O=0 +0 =40 O O =O P O= O=40, OP O=40 +0 =60 15 μ=60 0 =3 1 =5(c) μ 057 OOO =μ` μ μ= 4 3 O=360 _ =360 _;9$;=160 O O= O=30 O O =O O= O=30 O=180 -( )=10 5=10 30 =4 μ : 1 =0(c) μ O =O O= O=;!;_( )=30 O= O=30 μ μ= μ=4 14μ=1 μ=3(c) c 0577 O O= O=45 O O O =O O= O=45 O O=180 -( )=90 μ` 10=90 45 = 1 =0(c) μ 0578 O O= O=36 O O O =O O= O=36 O=180 -( )=108 7 μ= =1 : 3 =1(c) μ c O 7 c c O 40% O 30% μ 30% 0 c O 37

38 RPM 0579 O O O =O 6 c O= O= O 10 O=180 -( ) =10 O=180 - O = =60 μ` 6=10 60 = 1 μ=1(c) 1 c 0580 O O= O= O O 30 O 10 O =O O= O=30 O=180 -( )=10 O=30 μ μ μ= = O c 10 =40 100, 10 = 5 =50 =5 O 5 c 40 = =1 = O S c 6 S=30 360, 6 S=1 1 S=7 (c ) 0584 OO=μ μ= 5 O c 40= 55=80 =16 O 16 c 16 c 50% O 50% 0585 = O= O O=;!; O=50 = O= O= = =7 c 7 c 0587 O=;3!; O μ=;3!; μ 3μ=μ O=;3!;_ O =p_6_;!;+p_4_;!;+p ;!; =6p+4p+p =1p(c) = 1 c =+ 4c =- 8c =p_6 _;!;+p_ _;!;-p_4 _;!; =18p+p-8p =1p(c ) 1p c 1p c 0590 =p_7+p_5 =14p+10p =4p(c) =p_7 -p_5 =49p-5p =4p(c ) 4p c, 4p c 0591 _+_6=16(c) 8 c =p_8+p_6+p_ =3p(c) = - =p_8 -(p_6 +p_ ) =4p(c ) 3p c 4p c 38

39 50% 50% 0597 =: 3º:p+: 3º:p = = =8 c μ=μ, μ=μ =(μ+μ) = {p_4_;!;+p_8_;!;} =(4p+8p)=4p(c) =10p+10(c) =p_10 _;3!6@0);-p_5 _;3!6@0); =;:!3):);p-: 3 :p=5p(c ) (10p+10)c 5p c 0598 =p_1 _;3 6º0;-p_6 _;3 6º0; =18p(c ) 0593 =p_1_;3!6%0);=4p_;1 ; =10p(c) =p_1 _;3!6%0);=144p_;1 ;=60p(c ) 10p c, 60p c 0594 ;!;_6_8p=4p(c ) r c ;!;_r_6p=45p r=15(c) c ;!;_8_=0p =5p(c) 4p c 15 c 5p c 0599 =p_8_;3 6 0;+p_4_;3 6 0;+_4 =3p+8(c) =p_8 _;3 6 0;-p_4 _;3 6 0; =6p(c ) (3p+8)c 6p c 0600 p_9_;36{0;=6p =10( ) =p_9 _;3!6@0);-p_4 _;3!6@0); =7p-: 3 :p=: 3 :p(c ) : 3 :p c 0595 r c pr_;3@6$0);=1p, pr_;3@;=1p r=9(c) 40% 60% =;!;_9_1p=54p(c ) r c, 5p=;!;rp r=10(c) p=p_10_;36{0; =18( ) 54p c =p_6_;4!;+{p_3_;!;}_ =3p+6p=9p(c) 060 =p_5_;!;+p_10_;4!;+10 9p c =10 p_9 _;3!6@0);=81p_;3!;=7p(c ) 7p`c =5p+5p+10=10p+10(c) (10p+10)c c (p_6)_=4p(c) 4p c 39

40 RPM 0604 =μ+μ+ =p_6_;!;+p_1_;3 6º0;+1 =6p+p+1 =8p+1(c) (8p+1)c 0610 = =+ =+ =- =p_ _;!;+p_{;#;}_;!;+;!;_4_3-p_{;%;}_;!; _{p_6 _;4!;-;!;_6_6} =8_(9p-18) =7p-144(c ) 6 c 6 c =p+;8(;p+6-;; 8 ;;p=6(c ) = =;!;_4_3=6(c ) 6c 0606 =_ ={p_8 _;4!;-;!;_8_8}_ =3p-64(c ) c _16 ={_-p_ _;4!;}_16 =64-16p(c ) 8 c 8 c (3p-64)c c 4 c 4 c (64-16p)c 0611 = + - = = = c p_ _;4!;=;!;_(+)_ p=+ =p-(c) =(p-)(c ) (p-)c 061 = NO+ OM - NM =_4+p_ _;4!;-;!;_6_ =8+p-6=+p(c ) (+p)c 0608 = =- _ =1_1-{p_1 _;3 6º0;}_ =144-4p(c ) 1 c c (144-4p)c 0613, p_8 _;4!;-;!;_8_8 =16p-3(c ) 8 c 8 c (16p-3)c 0609 = ' + ' =- =p_10 _;3 6º0;+p_5 _;!;-p_5 _;!; =;; 3º;;p(c ) ;; 3º;;p c 0614 F 10_5=50(c ) 50 c 5 c 5 c 10 c F 40

41 0615 5c 10 c 5_5 _=50(c ) 10 c 50 c 60% 40% c 8 c, 16 c 8_16=18(c ) 0 c 0 c 0 c ;!;_0_0=00(c ) 18 c 00 c c {p ;4!;}_4=4p(c) 8 c =4(c) 4p+4=4(p+6)c 0618 p_3=6p(c) 6+6+6=18(c) 10 6p+18(c) 10 3 c 10 (6p+18)c =p_ =8p+3(c) =(8p+48)-(8p+3)=16(c) 16 c =p_4 =16p(c ) =16p+(4_5)_3 =16p+60(c ) 061 p_1=p(c) =14(c) p+14(c) =p_ +(3_)_+(4_)_ =4p+8(c ) c 4 c 10 (16p+60)c 1 c 4 c 3 c c 4 c 3 c (p+14)c, (4p+8)c = =60 = = c 10 8c p_8_;3!6@0);=: 3 :p(c) : 3 :p c c 8 c 4 c 4 c =p_4+4+4=8p+48(c) c 6 c 10 c 8 c p_6_;4!;+p_10_;4!;+p_8_;4!; =3p+5p+4p=1p(c) 1p c 41

42 RPM 064 μ = O = O 30 O= μ μ P=1 6 1 O=360 _ 11= O=360 _ 11= P=1 6 P=4(c) ( O )=p_6 _;3 6º0;=8p(c ), 0631 ={p_4_;!;}_+8+8=8p+16(c) =;!;_8_8 =3(c ) 8c 8c (8p+16)c, 3 c c O =O' =OO' =1 c OO' OO'=60 OO' OO'=60 O=10 {p_1_;3!6@0);}_=16p(c) 067 ( -3 ) ( +16 )=9 : 1=3 : 4 3( +16 )=4( -3 ) =4-1 = ;(;p c ;(;p=(p_6 -p_3 )_ = O 30 4 c O =O O O= O=30 O=180 -( ) =10 O O= =60 μ μ= OO μ 4=10 60 = 1 μ=8(c) 069 S=;!;r 6p=;!;_r_p r=6(c) p=p_6_;36{0; =60( ) =p_;; ;;_;!;+p_6_;!;+p_;%;_;!;=15p(c) =;!;_1_5+p_6 _;!;+p_{;%;} _;!; =-p_{;; ;;}_;!; =30(c ) 15p c, 30 c 0635 =p_1 _;3 6 0; =-{;!;_6_6+p_6 _;4!;} 1 c =18p-(18+9p) =9p-18(c ) (9p-18)c 0630 P =O OP= PO=0 PO O=0 +0 =40 O =O O= O=40 OP O=0 +40 =60 μ μ= OO 5 μ=0 60, 5 μ=1 3 μ=15(c) 15 c 10 c 10 c ={p_10 _;4!;-;!;_10_10}_ =(5p-50)_=50p-100(c ) (50p-100)c 4

43 H, 180 _(5-) =108 5 H= c H=90-60 =30 =60 p_10 _;3!6)0*;=30p(c ) 30p c =90-60 =30 H=30 30 F G 9 c H 9 c 0638 =- _ =6_6-{p_6 _;3 6º0;}_ μh=p_9_;3 6º0;=;#;p(c) μh 4 ;#;p_4=6p(c) 6p c =36-6p(c ) 0639 = =60 = = c p_10_;3!6@0);=: 3º:p(c) c c : 3º:p c O r c μ=p_4_;36{0;=16p =10( ) 0643 =''+ ' =-- ' = '- ' =p_13 _;3!6@0);-p_7 _;3!6@0); =: ;3^;ª:p-;; 3ª;;p=40p(c ) 0644 =p_5 _;4#;+p_1 _;4!; +p_ _;4!; p`c 3 5 p =;; 4 ;;p+ 1 +p=0p( ) 0p 4 μ=p_r_;3!6@0);=1p r=18(c) =;!;_4_16p-;!;_18_1p =84p(c ) 84p c c 1 c 5 c ' 0641 = + - = = = c p_4 _;4!;=;!;_(4+)_4 4p=+8 =p-4(c) =8(p-)(c ) 8(p-)c p_1_;4!;+p_13_;4!;+p_5_;4!; =6p+: :p+;%;p=15p(c) 0646 =8_+p_=16+4p(c) =4_3+p_=1+4p(c) =(16+4p)-(1+4p)=4(c) 4c 15p c, 4 c 43

44 RPM =8p(c) + + p_3_;4!;_+p_3_;3 6º0;=4p(c) +9_=18(c) =8p+4p+18 =1p+18(c) p_15 _;3!6@0); -p_9 _;3!6@0); =48p(c ) + + p_6 _;4!;_+p_6 _;3 6º0;=4p(c ) +6_9_=108(c ) =48p+4p+108 =7p+108(c ) 0648 O O= O=30 O O =O O= O=30 O=180 -( )=10 μ: 5=10 : 30 =4 : 1 μ=0(c) 60 6 c 3 c c 9 c (1p+18)c (7p+108)c r c ;!;_r_10p=50p r=10 10 c p_10 _;36{0;=50p = O c180 40% 60% 5 c 0 c O 60% μ 40% P =O OP= PO=15 PO O= =30 O O =O O O= O= c OP O= =45 P μ 9=15 45 =1 3 μ=3(c) 3c OP 0% O 0% O 0% μ 40% 5c 10 c + 5c 10 c =p_5 _;4!;+5 =: 4 :p+5(c ) {: 4 :p+5 } c 80% 0% 065, 10_ =p_10 _;4!; =;%;p(c) ;%;p c 44

45 50% 30% 0% ,,, 0653 =μ+μ , 6, =p_8_;3 6º0;+p_4_;3 6º0;+4+4 =4p+8(c) =p_8 _;3 6º0;-p_4 _;3 6º0; =;; 3 ;;p-;3*;p=8p(c ) (4p+8)c 8p c 50% 50% , 4, 5 6, 4, 6 9, 6, 9,, 0654 = = =6 c p_9+p_6+p_3 =18p+1p+6p=36p(c) =p_9 -p_6 +p_3 =81p-36p+9p=54p(c ) 36p c 54p c 50% 50% ,, ,,,,,, =p_6_;3@6$0);+p_3+6_ =8p+6p+1=14p+1(c) =(p_6 -p_3 )_;3@6$0);+p_3 _;3!6@0); =18p+3p=1p(c ) (14p+1)c 1p c 50% 50% 067 () () F ,.,

46 c, 4 c, 5 c 0689, ,,,, _= =6 6_=1 3_= c 3 c 6 c 1 c a=5_=10, b=4_3=1 a+b=10+1= 0696 n 3n=30 n=10 10+=1( ) 0697 n 3n=7 n=9 =9+=11 y=9_=18 +y=11+18= n n=14 n=7 =7+=9 y=7_3=1 +y=9+1=30 46

47 0699 n a=n+1 b=n c=n+1 a+b+c=(n+1)+n+(n+1)=4n n n(n-3) 1111=9 n(n-3)=18=6_3 n=6, a=6_=1, b=6+=8, c=6_3=18 a+b-c=1+8-18= 40% a, b, c 40% a+b-c 0% , -, -, -, n n=1 n= n n= n n+1=6 n= n n n, 3n, , - -3,, 3, 3, 4 6 =6 30 y=30 +y=6+30= J GF I (H) (I) (G) (F)

48 RPM 60% 40% H H F G H =H =H H H H=60 F G ,,, 1,,,,,,,,, ,,,,, 073 P L M =M N =NP =LP, LN =M P ( ) LMNP L M P N , -, -, -, v=7 e=1 f=7 v-e+f=7-1+7= 075 v-e+f= v=4, e= f= f=8 076 v=0, f=1 v-e+f= v=0, f=1 0-e+1= e= v e e=v+13 v-e+f= v- v+13 +f= f= c 4 c 5 c ;!;_(6+10)_4=3 c 3 c ( ) =;!;_{( )+()}_() 48

49 c p_3=6p c ;!;_10_6p=30p c c ;!;_8_10=40(c ) 4 c c 9 c 10_9=90 c 6 c 3c p_3 =9p c 9p c 3 c 4 c 9 c 10 c 6p c 3 c 30p c a=14 p_b=1p b=6 a-b=14-6=8 8 a 40% b 40% a-b 0%,, 0745, 0746, , a=11, b=0 a+b=11+0= ,, 0756 n 3n=15 n=5 5_=10( ) , 49

50 RPM 0758 fi 0759 v=1 e=18 f=8 v-e+f=1-18+8= =;!;_1_10=60 c 60 c 10 c , 1-9, -8, 3-7, 4-11, 5-10, =p_5 -p_1 =5p-p =4p c 0768, 1 c 4 c O 1 c 4p c 8 c 3 c p_8_;36{0;=p_3 =135( ) v=e v=;5@;e yy 3 f=e f=;3@;e yy v-e+f= ;5@;e-e+;3@;e= e=30, v=1, f=0 50

51 ,, a=8_3=4 b=8_=16 a+b=4+16= % 30% a, b 40% a+b 10% 0773 F =FG =GH =H, F G =FH FGH, 077 () F F () F 0% 50% 30% 3 c 10 c p_3=6p c 10 c 6p c10 c 60% 40% c [;!;_ 3+6 _10]_=90 c 0775 n 3n-(n+)=14, n=16 n=8 8_=16 6 c 10 c 30% 70% 16 60% 40% 0776 =p_4+7+7+p_6 =0p+14 c 4 c 8p c 1p c 6 c 7 c 0p+14 c 30% 70% 51

52 [;!;_(5+3)_]_=16(c ) 3 c 5 c c 16 c = _6 =(5_5)_6=150(c ) 150 c = _+ ={;!;_3_4}_+(3+4+5)_6 =1+7=84(c ) 84 c 50% 50% 0781 = _+ =(p_6 )_+p_6_10 =7p+10p=19p(c ) 19p c c 1 c = _+ =(p_5 )_+p_5_8 =50p+80p=130p(c ) ;!;_6_8_10=40(c ) 130p c 40 c 9 c _3_5=60(c ) 60 c {;!;_1_9}_=108(c ) 15 c 1 c r c r c 9 c p_5 _10=50p(c ) 50p c p_4 _6=96p(c ) 96p c 10 c, 10 c, 1 c = + =10_10+{;!;_10_1}_4 =100+40=340(c ) 100 c, 40 c, 340 c ;!;_15_r=;!;_1_9 r=: 5 :(c) c, 3c 108 c : 5 :c 0790 p_3=6p(c) 6p c 30% 30% 40% 0791 =( )+( ) =p_3 +p_3_9 =9p+7p=36p(c ) 9p c, 7p c, 36p c 5

53 c, 5 c, 6c p_3 =9p(c ), p_6 =36p(c ) 9p c,36pc p_6_10-p_3_5=60p-15p=45p(c ) 45p c 0809 r r, r =;3!;_pr _r ;3$;pr pr _r =;3@;pr ;3$;pr pr =;3@; ;3$; 0795 = + =9p+36p+45p =90p(c ) 90p c = = p_3 _8=7p(c ) 7p c =_;!; =8p_;!;=4p(c ) 0797 ;3!;_p_3 _8=4p(c ) 4p c =_;#; 0798 =7p 4p= =8p_;#;=1p(c ) 4p c, 1p c 0799 ;3!;_4_5_6=40(c ) 40 c 0811 = _+ =[;!;_(8+14)_4]_+( )_ ;3!;_{;!;_6_4}_5=0(c ) 0 c =88+30 =408(c ) 0801 ;3!;_p_7 _9=147p(c ) 147p c 081 {;!;_5_1}_+(13+1+5)_h= h= ;3!;_p_8 _6-;3!;_p_4 _3 h= =18p-16p=11p(c ) 4p_ =16p(c ) 11p c 16p c 0813 a c 6 6a =16 a=6(c) p_6 =144p(c ) 144p c 0814 = _ (4p_6 )_;!;+p_6 =7p+36p=108p(c ) 108p c ;3$;p_3 =36p(c ) 36p c ;3$;p_5 =: ;3):);p(c ) : ;3):);p c {;3$;p_3 }_;4#;=7p(c ) 7p c =[;!;_(7+4)_4]_+( )_10 =44+00=44(c ) 44 c 0815 = _+ =p_6 _+p_6_8 =7p+96p=168p(c ) 0816 =4 c =p_4=8p(c) =6 c 53

54 RPM = _ =(p_4 )_+8p_6 =3p+48p =80p(c ) 4 c, 8p c, 6 c 80p c h c = _+ 130p=(p_5 )_+p_5_h 80p=10ph h=8(c) 8c 0818 ;!;_(8+4)_5=30(c ) =30_9=70(c ) =;!;_3_4_6=36(c ) = _ =[;!;_6_3+;!;_(6+4)_]_5 =19_5 =95(c ) 95 c h c [;!;_(6+4)_3]_h=150 15h=150 h=10(c) 10 c 086 =;!;_(3+9)_4 =4(c ) =( )_10 =0(c ) = _+ =4_+0=68(c ) =4_10=40(c ) c 3 c 5 c 4 c 9 c 10 c 68 c, 40 c h c96 c {;!;_3_4}_h=96 6h=96 h=16(c) = _+ 088 ={;!;_3_4}_+(4+5+3)_16 =1+19 =04(c ) =p_6_;3 6º0;=p(c) = _+ ={p_6 _;3 6º0;}_+(6+6+p)_8 =1p+96+16p =8p+96(c ) 08 p_5 _7=175p(c ) 089 {p_ _;3@6&0);}_h=36p 083 h c p_7 _h=39p h=8(c) 8c 3ph=36p h= =p_6 _;3@6&0);=7p(c ) 084 =p_6 _3=108p(c ) =p_3 _10=90p(c ) 085 r c pr=4p r=(c) =p_ =4p(c ) = _+ =4p_+4p_7=36p(c ) = _ =4p_7=8p(c ) =p_6_;3@6&0);=9p(c) =(6+6+9p)_7 =84+63p(c ) = _+ =7p_+84+63p =117p+84(c ) (117p+84)c 0% 40% 40% 54

55 0831 = _+ 10 c 5p c 1 c 0836 =p_4 _1=19p(c ) =p_3 _1 =108p(c ) =19p-108p=84p(c ) 84p c =p_5 _;!;_+(10+5p)_1 =5p+10+60p =85p+10(c ) (85p+10)c c, 13 c, 10 c = _+ =(10_13)_+( )_10 = =70(c ) c 4c 8c = _+ =(8_4)_+( )_8 =64+19=56(c ) =- =(8_4_8)-( 5) =56-0=36(c ) 56 c 36 c 0834 =1_7-4_=76(c ) =(1_+7_+_)_10 =40(c ) = _+ =76_+40=57(c ) 57 c 40% 40% 0% 0835 =p_5_10=100p(c ) =p 10=40p(c ) =p_5 =5p(c ) =p_ =4p(c ) =+ +_ - _ =100p+40p+5p_-4p_ =18p(c ) = _+ =+ =(5_5-_)_+(5_8)_4 +(_8)_4 = =66(c ) =- =5_5_8-8 =00-3=168(c ) 66 c 168 c =p_6_11=13p(c ) =p 11=44p(c ) =p_6 =36p(c ) =p_ =4p(c ) = + +_ =- _ =13p+44p+36p_-4p_ =40p(c ) = - =p_6 _11-p_ _11 =396p-44p =35p(c ) 40p c 35p c 30% 30% 40% = + =6_6+{;!;_6_10}_4 =36+10 =156(c ) = + =7_7+{;!;_7_10}_4 = =189(c ) 189 c 55

56 RPM 0841 = + =8_8+{;!;_8_}_4=64+16(c ) 08 c 64+16=08 =9(c) = + =6_6+{;!;_6_5}_4+(6_8)_4 = =88(c ) 88 c =;3!;_p_5 _1=100p(c ) 100p c =;3!;_(p_3 )_3+(p_3 )_6 =63p(c ) =;3!;_(p_3 )_4+;3!;_(p_3 )_6 =1p+18p =30p(c ) 63p c 30p c 0843 = + =p_ +p 6 =4p+1p=16p(c ) 6 c c 0851 =;3!;_ _G =;3!;_{;!;_4_3}_4 =8(c ) 8c 0844 c 84p c p_6 +p_6_=84p 6p=48p =8(c) 8c 0845 r c 4p c 4p=p_r_6 r=7(c) p_7 +4p=91p(c ) 91p c 0846 r c r c r c 75p c r c pr +p_r_r=75p 3pr =75p, r =5 r=5(c) 5c 0% 50% 30% 085 = - =6_6_6-;3!;_{;!;_6_6}_6 =16-36 =180(c ) 180 c 0853 = - =1_1_10-;3!;_{;!;_7_6}_7 = =1391(c ) 1391 c 0854 a c P =Q =a c =a_a_a=8a (c ) -PFQ =;3!;_ PQ_F =;3!;_{;!;_a_a}_a =;3!;_5_5_6=50(c ) h c ;3!;_8_8_h=19 h=9(c) 9c a = (c ) 3 a =8a - =: 3 :a (c ) 3 a : 3 :a =

57 0855 = -FG =;3!;_ FG_F =;3!;_{;!;_1_0}_5=00(c ) 00 c 40% 50% 10% 0856 =;3!;_ _ =;3!;_{;!;_1_5}_ =10(c ) 30 c 10=30 =3(c) ;3!;_{;!;_4_6}_3=1(c ) 0861 =;3!;_(p_3 )_4 =1p(c ) 4c 4 1p 1 =3p(c ) 4 =;3!;_(p_9 )_1 =34p(c ) 34p 3p= = {;!;_3_}_=3(c ), 3=1 = r c p_9_;3!6@0);=pr r=3(c) 0858 =;3!;_p_6 _9=108p(c ) 1 4p c 108p 4p=7( ) 7 =p_3 +p_3_9 =9p+7p =36p(c ) 36p c 0863 r c p_r_1=48p r=4(c) 4c 0859 =;3!;_(p_1 )_h =48ph(c ) 1 1p c 80 48ph 1p=804h=80 h= =150( ) 0865 p_1_;36{0;=p_5 r c h c c r c 0860 =;3!;_(p_3 )_1=36p(c ) p_15_;3@6*0*;=pr c 3 _3= 36p_3=p_8 _ =;1@6&;(c) ;1@6&; c 4p=pr r=1(c) h c =;3!;_(p_1 )_h =48ph(c ) 43p c 48ph=43p h=9(c) 9c 9c 57

58 RPM c = + + =p_5 +p_5_1+p_5_13 =5p+10p+65p =10p(c ) =- =p_5 _1-;3!;_p_5 _1=00p(c ) 1 c 5 c = + =(p_4 +p_8 )+(p_8_1-p_4_6) =80p+7p =15p(c ) 15p c = + =(3_3+7_7)+[;!;_(7+3)_5]_4 = =158(c ) 10p c 00p c 0867 =- =p_5 _6-;3!;_p_ _6 c 6 c 5 c c 5 c 6 c =150p-8p=14p(c ) 0868 = + =p_8_4+p_5_4 =3p+0p=5p(c ) 0869 =p_8 -p_4 =48p(c ) =p_10_8+p_5_4 =100p(c ) =48p+100p=148p(c ) =;3!;_p_8 _6-;3!;_p_4 _3 =18p-16p=11p(c ) 10 c 5 c 8 c 14p c 4 c 5 c 4 c 4 c 5p c 3 c 3 c 148p c 11p c =p_3 =9p(c ) =p_6_8-p_3_4 =36p(c ) =p_6_5=60p(c ) =p_6 =36p(c ) = =9p+36p+60p+36p =141p(c ) 141p c 30% 50% 0% 0874 =- =;3!;_p_6 _16-;3!;_p_3 _8 =19p-4p =168p(c ) 0870 = + =(p_3 +p_9 ) =+(p_9_15-p_3_5 =90p+10p=10p(c ) 5 c 3 c 10 c 9 c 0875 = - =;3!;_8_6_6-;3!;_4_3_3 =96-1 =84(c ) 84 c 58

59 0876 = - =;3!;_15_15_18-;3!;_10_10_ c =;3$;p_ =: 3 :p(c ) = =950(c ) 950 c 8c =;3!;_p_4 _6-;3!;_p_ _3 =3p-4p =8p(c ) 8p c =;3$;p_8 =: :º3 ;; ;;p(c ) 8c c : 3 :p_=: :º3 ;; ;;p = =+ + =;!;_4p_3 +p_3_8+p_3_5 =18p+48p+15p =81p(c ) 0885 =+ =(4p_6 )_;!;+p_6_10 =7p+60p =13p(c ) = + ={;3$;p_6 }_;!;+;3!;_p_6 _ = + =p_5 +4p_5 _;!; =5p+50p=75p(c ) 0886 =144p+96p =40p(c ) 3c 0880 r c pr =5p r=5(c) 5c 4p_5 =100p(c ) (4p_3 )_;4#;+p_3 =7p+9p =36p(c ) 36p c 0881 =(4p_4 )_;!;=3p(c ) 0887 r c ;4#;_{;3$;p_r }=64p =(4p_8 )_;!;=18p(c ) =p_8 -p_4 =48p(c ) =3p+18p+48p =08p(c ) 08p c r =64 r=4(c) 4c 0888 ;8!; ;8&; 088 = + =;8&;_(4p_6 )+(p_6 )_;3ª6º0;_3 ={;3$;p_6 }_;!;+p_6 _10 =16p+7p=153p(c ) =144p+360p =504p(c ) ={;3$;p_6 }_;8&;=5p(c ) 153p c 5p c 0883 r c 4pr =34pr =81 r=9(c) 0889 ;3!6@0);=;3!; =;3$;p_9 =97p(c ) ;3!; ;6!; 59

60 RPM =;6%;_(4p_9 )+{p_9 _;3ª6º0;}_+p_9 675 =70p+: :p+7p= p(c ) =;6%;_{;3$;p_9 }=810p(c ) :;^&:%;p c 810p c 0894 r c =pr _r=pr (c ) =;3$;pr (c ) =;3!;_pr _r=;3@;pr (c ) =pr ;3$;pr ;3@;pr = =+ =p_4_5+(4p_4 )_;!; =0p+3p=5p(c ) 4 c 5 c 5p c =3 7p =3 =48p(c ) =3 1p=3 =18p(c ) p c 18p c c =+ 5 c =;3$;p_3 +p_3 _5 =36p+45p =81p(c ) c 089 c = - =;3$;p_() -;3$;p =: 3 :p (c ) 5p c : 3 : p =5p =7 = c =p_6 -p_4 10 c 4 c =36p-16p=0p(c ) =p_10_6=60p(c ) c 4 c =4p_4 _;!;=3p(c ) =0p+60p+3p=11p(c ) =;3!;_p_(6 _8)-;!;_{;3$;p_4 } =96p-:;!3@:*;p=:;!3^:);p(c ) _3=6(c) =p_3 _6=54p(c ) =;3$;p_3 =36p(c ) 54p-36p=18p(c ) 18p c 40% 40% 0% 5c 10 c =(p_5 )_+p_5_10 =150p(c ) =4p_5 =100p(c ) 150p 100p=3 =p_5 _10=50p(c ) =;3$;p_5 =: ;3);º:p(c ) 50p : ;3);º:p=3 3 3 r c 6r c =pr _6r=6pr (c ) 6pr =108p r =18 r c 11p c :;!3^:);p c ;3$;pr =;3$;p_18=4p(c ) 4p c 60

61 0898 =;!;_{;3$;p_6 }=144p(c ) =;3!;_(p_6 )_6=7p(c ) =144p 7p= =;!;_8_5+;!;_8_3 =0+1 =3(c ) h c = _ 88=3_h h=9(c) 9c 0899 =4p_4 =64p(c ) =(8_8)_6=384(c ) =64p 384=p =10_10_10=1000(c ) 1000 =;3!;_(10_10)_10= (c ) 3 =;3$;p_5 =:;%3):);p(c ) p =1000:;%3):);p 3 =6 p 6 p 0905, 10 c, 6 c10 c =(6_10)_+( )_10 =10+30 =440(c ) 440 c 0906 a c, b c, h c =abh=10(c ) -G =;3!;_{;!;_a_h}_b =;6!;abh c 1 c 6 c 6c 6 c 1 c 6c ={;!;_1_6}_=7(c ) = _ ={;3!;_7_6}_ =88(c ) 88 c 144p c r c 4pr =144p, r =36 r=6(c) ()=;3$;p_6 =88p(c ) =;6!;_10 =35(c ) 0907 =;!;_(+10)_3=18(c ) = _ =18_8 =144(c ) 0908 = _+ =+ =(5_6-_)_+( )_8 +(+++)_8 = =9(c ) 144 c 0903 =- =;3!;_8_8_8-;3!;_5_5_5 =: ;3!:@;-: ;3@:%; =19(c ) 0909 =;3!;_p_3 _4 =1p(c ) ; ;_=1p =

62 RPM 0910 F =;3!;_{;!;_9_9}_18 =43(c ) 43 c c 5 c = - 7 c 10 c =p_8 _10-p_3 _7 =640p-63p=577p(c ) 8 c 577p c 091 =1 : 3 :p=1 =: 3 :p(c ) : 3 :p c r c ;3$;pr =: 3 :p, r =8 r=(c) =;3!;pr _r=;3@;pr =;3@;p_8=: 3 :p(c ) 0913 p_10_ =p_6 360 =16( ) 0916 =_3p=64p(c ) r c 4pr =64p, r =16 r=4(c) 56 ()=;3$;p_4 = 11 p(c ) =(4p_10 )_;8&;+{;4!;_p_10 }_3 =350p+75p =45p(c ) =p_6 =36p(c ) =p_6_4=48p(c ) =p_6 -p_3 =7p(c ) =p_3_4=4p(c ) =p_3_5=15p(c ) =36p+48p+7p+4p+15p=150p(c ) p c = + + ()=p_6 _4+p_3 _4+;3!;_p_3 _4 ()=144p+36p+1p =19p(c ) p c, 19p c 6 c 4 c = c+ 4 c c c c 0914 =;!;_p_3 =;(;p(c ) ={;!;_p_3}_7+6_7 =1p+4(c ) = _+ =9p+1p+4 =30p+4(c ) =(p_ _)_;!;+p_ _4 =4p+16p=0p(c ) 0p c 090 ;!; =[;3!;_{;!;_1_1}_6]_ =88(c ) 0915 =;3$;p_3 =36p(c ) = _;3@6&0);-_;3@6&0); 6 c, ={;3$;p_5 }_;4#;-{;3$;p_3 }_;4#; c =15p-7p=98p(c ) 98p c (p_6 _)_;!;=36p(c ) 091 6

63 =- =- =p_6 _10-36p-36p =88p(c ) 88p c 09 p_0_;36{0;=p_5 =90( ) = O'- O' =p_0 _;3ª6º0;-;!;_0_0 =100(p-)(c ) 100(p-)c 6 c 4 c =;!;_6_4+(p_3 )_;!;+;!;_5_{;!;_6p} =1+;(;p+: :p =1+1p(c ) c 5 c 1 {;;_6p} c 5 c 4 c 5 c 4 c = _ =+ _ =p_6 _+(p_6_10-p_3_5)_ =7p+90p=16p(c ) =_ 094 ={;3!;_p_6 _8-;3!;_p_3 _4}_ =84p_=168p(c ) (1+1p)c 6 c 3 c 6 c 16p c, 168p c p_4_;4(;=18p(c) O r c O =pr(c) O pr=18p r=9(c) =p_4_9=36p(c ) 095 ' 10p c O 36p c 0 c ' 5 c 096 r c pr=4p r=(c) =(p_ )_+4p_10 =8p+40p =48p(c ) =(p_ )_10=40p(c ) 48p c 40p c 0% 50% 30% _5=150() 4 =;!;_(6+4)_3=15( ) =15_150=50( ) % 30% 30% 098 =p_6 _;3!6@0);-p_3 _;3!6@0); =1p-3p =9p(c ) =p_3_;3!6@0);_10+p_6_;3!6@0);_10+(3_10)_ =0p+40p+60 =60p+60(c ) =9p_+(60p+60)=78p+60(c ) =9p_10=90p(c ) (78p+60) c, 90p c 63

64 RPM 0% 40% 0% 0% c 15 c = =+ 4 c =p_4 +p_1 =16p+144p =160p(c ) 1 c = - =p_1_15-p_4_5 =180p-0p =160p(c ) =160p+160p=30p(c ) =- =;3!;_p_1 _9-;3!;_p_4 _3 =43p-16p =416p(c ) 30p c 416p c 0% 30% 0% 30% 0930 =(p_6 )_+(p_6_3)+(p_4_3) +(p_)_3 =7p+36p+4p+1p =144p(c ) =(p_ _3)+(p_4 _3)+(p_6 _3) =1p+48p+108p =168p(c ) 144p c 168p c 50% 50% r c 8r c =pr _8r=8pr (c ) 8pr =16p, r =7 r=3(c) =;3$;pr =;3$;p_3 =36p(c ) 4 (4p_3 )_4=144p(c ) 3c 36p c 144p c 8r c 0% 30% 0% 4 30% 0933 r c ;3!;_p_r _1=4pr (c ) c pr _=pr (c ) 4pr _=pr =8(c) 8c 30% 30% 0% 0% 5 c =(4p_5 )_;!;+(4p_7 )_;!; 7 c +(p_7 -p_5 ) =50p+98p+4p =17p(c ) ={;3$;p_5 }_;!;+{;3$;p_7 }_;!; =:;@3%:);p+:;^3*:^;p=31p(c ) 17p c 31p c 50% 50% 64

65 H 11, n 60 =10 =50 () n , 4 4_(4-1)=1 06, n, p = = =10 ( ) =78 + y=180 y= =10 y- =10-78 = PN =;3!; P G, G= a, FG= b 10 ( -0 )+( -40 )+90 =180 3 =150 =50 GF= a, GF= b, = a+ b FG 3 a+3 b=180 a+ b=60 = n p y 5 z=180 _ 114 = a a a b b b F G , _6+0.5 _40=00, 6 _40= =40 13 Í Í = =55 () = =55 ( ) = = = Í, PÍ, PÍ, PÍ 4 a= , P,, P,, P, P, P, P 10 b=10,,, P, P, P 6 c=6 a+b-c=4+10-6= O= OO=;3@; O O= OO=;3@; O O= O+ O =;3@; O+;3@; O =;3@;( O+ O) =;3@; O =;3@;_180 =10 10 OOOO 6 O 4 65

66 RPM 16 Q MN PQN= PQ=70 (), NQR= RQ=30 () PQR= =100 PQSSQR=1 3 =100 _;4#;=75 P 70 S Q 70 M R N 09 H, FGH G, FGH G F, H F, H, F, FG, GH, H 6,,, F 4 75 PQR ,,,, G 5, FG F, FG 1 G,, F, FG FMN LK (K) (, J) L(N) M H F (G, I) 01 n n n 1, P, Q P, n 0 03,, 04,, ,,,, 13 JÚ,,, F, G, F I, FG, GH KM I, J, L, FN, GO, HP 6 a=6 FN,, H, HG, I J, J L, I P, PO 8 b=8 b-a= 15,, F, F 4 a=4 F 1 b=1 a+b=4+1= P Q, P R Q R P Q, Q R P R P Q, Q R P, R P Q, P R Q, R a 4 b 4 a+b 66

67 16, F, G, F, G, FG 6 a=6 G,,, F 4 b=4 a+b=6+4=10 10 a 4 b 4 a+b = c +5=7 FGH F = =8 c c 30 6 c 30 6 c 4 c, = SS =F SSS 10, 03 10=6+4 (, 3, 4), (, 4, 5), (3, 4, 5) 3 11 =, = = + =60 + = + = (SS ), =10 + = + =60 F=180 -( + ) = =10 1 = =F, = = F = = = = =60 F F(SS ), F = =F F 13 FG = G = G=90 - G= G SS G=90-64 =6 G G=180 -(6 +36 )=118 = G=118 F= -90 = = = =90-60 =30, = = = = =;!;_( )=75 =360 -( )= a-<a<a+3 a+3 (a-)+a>a+3 a>5 a>5 a+3 4 a 6 HQHP HQ=90 - HQ, HP=90 - HQ HQ= HP, H =H, HQ= HP=45 HQ HP (S ) P =Q =4 c 4 c 67

68 RPM HQ= HP (180 - )=360 =5 H =H, HQ= HP HQ HP P _(5-)= (180 - ) =540 = =360 =10 y-30 = y=80 - y=10-80 =40 0 n n-3=10 n= _(15-)= _(6-)= a+10 + b+130 =70 a+ b= _(5-)=540 ( ) ( )=540 =10 06 =;!; =;!;_(70 + ) =35 + yy = + yy, =35 07 P P+ P= =60 =180 - P+ P+85 +(180 - )= n =36 n=10 n 10_(10-3) =35( ) a=35, _(-)=1080 = =45 b=45 8 a-b=_35-45= = =130 + =(180 - )+(180 - ) = =30 P+ P=;!;_30 =115 P = = ( a+ e)+ c+ d +(35 + b)=360 a+ b+ c+ d+ e=35 1 a 35 b 35 +b e a+e c d j a+ b+ c+ d+ e + f+ g+ h+ i+ j =( ) a b a+b i+j i g+h h g c+d e+f =360 c e d f 68

69 13 360, = = a, = = b a+ b+( )=360 a+ b=75 =180 -( a+ b) = = _(6-) =10 6, = =;!;_( )=30 F=30 = P() =180 -( )= H a+ b+55 =180 a+ b=15 F c= =85 I d= =65 FJ e=35 + c= = _ 15= n =30 n=1 n 1_(1-3) =54( ) a+ b+ c+ d+ e = = a 35 G F 30 c e b H J d 55 I a+ b c d e a+ b+ c+ d+ e (-0)=6 9 (-0)= 3 3=(-0)3=4-40 = =45 3 5=45 3=5 =75 04 O 40 O= O 8 c 40 =40 ( ) O O O =O O= O=40, O O= O=40 () O= O μ=μ=4 c O= =60 O= = =μ 6 1 =μ 6 μ=3(c) 07 3 =360 _ 15 = O O =O O=30 O =O = O O=60 60 O 60 69

70 RPM _(8-) =135 8 =p_4 _;3!6#0%;=6p(c ) ( ) =p_1_;3@6!0);+p_6_;3@6!0);+6+6 =1p+1(c) p_6 _;4#;+p_ _;4!;=8p( ) 8p 10 8 c + + _{4_4-p_4 _;4!;}+4_4 8 c =(16-4p)+16 =3-8p+16 =48-8p(c ) 11 () =( ' )+( ' ) -( ) =( ' ) =p_10 _;3 6 0; =;; ;;p(c 1 p_6=1p(c) 1_3=36(c) () =1p+36(c) 10 1 c 1 c c ( )()) = =4 3 4 ( )=360 _ 15 =160, ()=360 _ 15 =10, 4+3+ ()=360 _ 15 = , 10, O O =O O= O=0 O=180 -(0 +0 )=140 O= =40 μ μ =40 140= =p_4 =16p(c ) (0_4)_3+16p=40+16p(c ) 7 4 c 0 c (40+16p) c

71 03 14 v-e+f= 04,,, 1 15 ;3@;e-e+;5@;e= e= , 5,,,, 08, FG (F) (G) () J(H) f=;5@;e=;5@;_30=1 15 ( )=p_7 =49p(c ) ()=p_ =4p(c ) 49p-4p=45p(c ) c 7 c 45p c 4 4 I 16 9 c c p_9_;36{0;=p_3 11 =10( ) n 3n-(n+)=0, n= n=11 11_=( ) r c pr=6p r=3(c) p_3 _4=36p(c ) 71

72 RPM 0 h c {;!;_7_4+5_7}_h=39 49h=39 h=8(c) ;3!;_{;!;_4_5}_6=0(c ) ;3!;_p_4 _6=p_8 _ =;!; p ;3!6@0);=p_5 =15(c) ;3!;_p_3 _6-;3!;_p_3 _ =18p-6p =1p(c ) 3 c 3 c ()=( )-() 4 c ={;3$;p_6 }_;!;-p_3 _4 =144p-36p =108p(c ) 08 ( )=p_6 =36p(c ) 8 c 10 c ( ) =p_6_8=96p(c ) ()=p_6_10=60p(c ) ( )=36p+96p+60p =19p(c ) 6 c {p_4 _;3@6&0);}_+p_4_;3@6&0);_10+(4_10)_ =4p+60p+80 =84p+80(c ) ;!;_4pr +pr =1p, r =4 r=(c) ;3$;p_ =;; 3 ;;p(c ) 11 ( )=4p_6 _;8&;+p_6 _;4!;_3 =16p+7p =153p(c ) 1 4 c c, 4 c 6 c (p_ _4)_;!;+p_ _6 c =8p+4p =3p(c ) 13 ( )=(p_4 -p_ )_+p_4_5+p 5 =4p+40p+0p =84p(c ) ()=p_4 _5-p_ _5 =80p-0p=60p(c ) 84p c, 60p c 14 (p_10)_=40p(c) co p c O p=40p =0(c) ()=p_10_0 =00p(c ) 00p c r c ()=pr _8r =8pr =16p r =7 r=3(c) ( )=;3$;p_3 =36p(c ) 36p c 6 4 ( )=;!;_;3$;p_ =: 3 :p(c ) ()=;3!;_p_4 _4-;3!;_p_ _ =: 3 :p(c ) ()=p_4 _5 =80p(c ) ()=: 3 :p+: 3 :p+80p =104p(c ) 104p c