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1 [] Te

2 P AP OP [] OP c r de,,,, ' ' ' ' de,, c,, c, c ',, c mc ' ' m' c ' m m' OP OP p p p ( t p t p m ( m c e cd d e e c OP s( OP t( P s s t (, e e s t s 5 OP 5 5 s t t 5 OP ( OAP ABP OBP

3 ,, OP t( OP ( P { t ( } ( H t ( t ( 5 5,, t ( t ( ( t OP 6 6,, OP t( ( OP ( P 5 5 t OP 9 8 9, OP s( s( OP t( P s s t (, s t s OP 8 s t OP s( t 5 e e 5 5 OP ( O H ABC OH s t ( s c c OH ABC OH AB OH AC P C OH OP ABC H OP OH A B OP m c m OP A,, B r P OP s( ( t( OP r O B

4 (,, L ( ( (,, L,,,, 5,L d, r, p, q, r, s d ( d (,,, L (,,, L im r r (,,, L ( (,,, L p q ( p q ( p q ( p p (,,, L p( { } p r ( p p q ( p (,,, L ( p q ( r s p q (,,, L, L, ( (,,, L, p q (,,, L ( (,,, L,,,, L L,,,, L ( (, (, (, L L, (, (, (,,, L p ( ( { p( q} ( p q { ( p q} (,,, L ( q ( (,,, L

5 p q p q (,,, L p q (,,, L { } { S } S S S (,, L S S (,,, L S L L (,,, L ( (,,, L p q p q r s r s (,,, L 6 p q p q q p q p (,,, L (,,, L e I (og d ( im I (,, (,,, L z z z z z z A PA Q C PC Q C A C P( A C L P ( A C p q ( ( } { { } N; []

6 A, A A, B X p, q, c, d,, c p d q, p c d q, A A c d c d p q c d p q A, A c d c d ( A A A c d c d A, ( A E, A,, L (, (, c d c d L ( A E, ( L, (, (, c d c ( d L A A A A ( A E O O (, (, ( A E ( ( d c A ( A d c c d ( d ( d c ( A O, A A, B X p, q,, c, d,, AX B AX B p c d u v r A X A B A AXO AX O c d u v A X A O O A q s [] O []

7 px qe px qe p q X E p X qe p q q [] p u q v A tr7, A X O, X E, X X, X X E O, X E A T. E A 7AE O A E A E d A d c E E A ( ( 7 c d A ( d A ( d c E,5 t t, s s A A ( d A ( d c E c d P A E ( d A ( d c E E ( d A ( d c E P AP 5 d c d A E E d [ ] A E E E A E X E d A ( d c E d c X A ( d A ( d c E A z w E d t A A d c c d c t c t d A A E d c c d A E pa qe p' A q' E A E ( A E( A E O A E, E p p' q q' A E A A E O A ( d A ( d c E O d [] A d c c d A E A E c d c d A, B, C c c d ( d c cd c d CH ( d c c d d, c, d d d c d d c A A E d c d A d c c d d d c d dc

8 [] m 6 E E ( (, ( p p d c ' [] ' P P m m, ( },, {( D p E E d c, ( d c d c ' ' ' ', ( cos si si cos m R( ( ( R R E E

9 E ' D },, {( D p ', E ' D },, {( D 6 ( 6, (, (

10 [] A, B AB E BA E [] A [] c d A p, q, p', q' R pa qe p' A q' E p p' q q' A E ' A p, q, p', q R pa qe p' A q' E p p' q q' A p, q, p', q' R A pa qe A p' A q' E pp' qq' A AB O B O A AB AC B C A ( A A A B ( AB B A E A A A E A A A B AB B A E A A A O E A A A E O A A A E A O A AB O B O A A E A A A A A E A E [] A m A O c d m A O 5 A m A O A O A O A m m {, A, A, L, A } [] A A c d A 6 A( O A [] A A O B O AB O B c d A [], p q p' q' p p' q q' E

11 e si e og e e e si si e og( ( ( ' ' '' '' ' ' '

12 ( C ' ( t ( ( ' ( dt ( d ( ( ( F ( ( dt ( d F( d d F( ( ( ( '( ( ( '( dt F( dt d dt dt ( ( ( ( ' ( dt F( ( F ( ( F ( F ( ( d ( ( d ( ( '( dt t ( ( ( '( d ( dt si cos dt t dt ( t si ( ' d cos tdt ( si ( ' si t ( ' ( ( ' ( ( ( ' d d ( t t dt t dt e d d ( t t dt t t [, ] ( t t ( ( C t ( t ( C t e d e d e dt [,] t C d S d dt dt ( F( g ( t ( d t F '( dt d '( dt g ( ( t [ ] [, ] S d ( S d F ( d F ( ( '( dt g( '( dt dt dt F( ' t ( si ( d ( cos, d d [, ] ( cos d, d d, d d S d d ( cos ( cos d d g( F t F(

13 ( ( ( ( ( '( im im R(, ( dt ( dt im,, ( dt F( ( ( ( G( ( d G( ( G( ( ( ( ( ( d ( '( ''( ( ( [, ] ( dt [, ] im R(, ( ( ( dt ( dt ( ( F( ( e d ( e d e e [, ] S( ( S( ( V ( S( L( { '( } F( ( t dt ( d G( ( [, ] ( dt G( C G( G( g ' g' g ' g g' ' g g ' F( G( ( G( g( F( ( ' og g g ' ( ' g g ' g ' g g ( ( ( ' F( ( d F F ' ( ( ( ' ( dt F ( ( ( d g '

14 ( ( ( ( e e e cos si cos si og cos t cos og si t si ( ( ( ( ( og ( ( ( ( og og ( og ( si t, og(, { og( } si ( og ( e e ( e e ( e e si cos si cos si cos e (si cos e si e (si cos e (si cos e cos e (si cos og og (og,si,og, ( si si si cos e d ( e d e d ( e d e e

15 si cos t t (og ( ' t (si cos (cos si (t cos (og ( e e ( e ' C ' og C si si si si si si cos cos cos cos cos cos, ( { og( } '( d { og( } C, ( og( '( [] t t t t t og (og og d og( si t ( e si ' e si e cos ( e cos' e cos e si ( e si e cos ' e cos e cos d e (si cos C (og ( ( ( ( ( si si si cos t (og (og uv ' uv u ' v [] ' e ( e ' og ( ' og si ( cos ' t si tdt

16 , [,] ( ( or ( S ( d i im i ( i i i i i i I= im ( i ( i i ( d d ( I= im S ( i ( i i S( ( i S ( d I= im { ' ( i } ( i i '( i ( ( { ( ( } ( [, ] g ( {( '( c } c { '( c } ( ( c { '( c } g( c '( g( { '( } im { '( } d { '( c } ( { '( } d { ( c } S C

17 d, d,, ( ( d, d ( d ( d d d d S d dt ( ( g( dt d d S d c d ( ( g( e d d d dt t { ( } d S d { ( } dt S ( d d d d d d ( V S ( d S( d d V d dt dt d d V d d c d ( d V S dv ( d S V ( d d {( ( cos} cos V {( ( cos } cos { ( } cos d V {( ( cos } cos { ( } cos d cos { ( } d d d d ds ( d ( d ( d ( ( dt d dt dt d s ( d d d ds d t d d s ( ( dt d t dt dt s d ( ( ' ( d d d d, d d,( d ( d, d cos ( ( cos ( S S (

18 [,] ( ( or S( [, ] S' ( ( S'( de S( S( ( im im im ( t S S( S( ( d ( d de S( S( S' ( im im S { ( } d S( V ( [, ] V '( S( V '( de { ( [] ( } im { ( } t V ( V ( S( im im im S( S( [] t V V ( V ( S( d S ( d ( s' ( s' ( C s( [, ] { '( } s( s( im im { ( ( } de im { ( ( } { '( } [] s s( s( { '( } d s { '( } d de s( s( s' ( im im s { '( } d { ( } { '( } d d / dt { } d / dt d dt dt d ( dt { ( } { ( ( } ds d ds ds ds d ( dt S ( ( dt { (, ( ( } V ( { ( } { '( } ( d dv S( d dv S( d ( d { s ( ( d '( } d

19 Z t,, z t t z t t S( t S( S( V t t S ( t dt t t t t N( t, t I t t t N(

20 } { I I im d g I d ( ( I Itegr S L L d d L L ] [ ] [ ( im ;, R ( ( ( L im ( ( C C C C ( ( e im im,,( C C C e (, cos ( si si c c c, cos ( si si cos (

21 t '( ( ( t g ( A ( (,, (,, t t ( C t P ( ( t t (t t t (cos cos C ( t t t t t ( t t( t t ( t t D

22 t AP tu p tu 5t t (,5,6 z 6t t m mt (,, z ( t, 5 t, 6 z z z t z t (,, ( 5 6 mt z z ( t m z z t,, z,, z AP ( p, z ( ( c( z z cz d AP su tv su tv s t z z CP r p c r ( r ( ( ( z c r z m z p ( ( ( z 5,,,, ( ( de (,, V S (,,, (,, S (,, (,, c (,,, (,, A,, cz d ( z cz d d c (,, A H 5 (,, ( 7,8,9 7( 8( 9( z?

23 A H m m P m Q A H ( ( ( ( ( z c( z c r

24 (,, u (,, (,, (,, z u (,, z t t z z t t t t z (,, t z t (,, z u (,, u (,, z z t t t t z t z t 6 z 6 P(,,6 g H P g H ( t, 6 t, 6 PH (,, (t ( t 8 (t t P H ( 5, 8, PH (,, 8 //(, 5, z 6 5 t P 5t z 6 t P g [] PH g Q ( t, 6 t, 6 PG (t ( t 8 (t 9( t 8 8 t P

25 z m z m m P u (,, v (,, ( s, s, s m ( t, t, 8 cos,( 9 8 s t 5 s s t 5 5 s t t 8 P (,, m u (,, v (,, u v (,6,6 //(,, z z z m, z s t s t z s z t s t s s t t s m PQ ( st ( s t 5 ( s s ( t 6 s 5t t 6 ( s ( t 8t 6 s t 7 7 m (,, (,, z (,, 6 d 9 ( s, s, s s R m ( t, t, t R t s PQ 5 t s s PQ PQ m ( t s ( 5 t s ( s ( t s ( 5 t s ( s s t 6 s 5t 9 s t PQ (,, PQ ( ( (

26 (,, (,, A(,, B(,, C(,, ( ( ( z z z d (,, d z AB (,,, AC (,, OABC AB AC ( 8,, //(,, ( ( ( z, z cz d z (,6,6 z m z (,, (,,,(,, (,6,6 (,, (,, (, 8, //(,, (,, ( 5,, ( ( ( z 5( ( 6 ( z 6 z 5 z A(,, (,, P(,, P d H P P ' ( ( ( z z d 9 z, z, z (,, t t z 5 z t ( ( ( t H (,, (,, u (,, cos, ( OP' OP PH 8 6 p (,, P' (,, c P, P' PP'

27 z t t z t z t ( ( t 7 ( 7, 5, z ' (,, t t z t ( ( ( t H (,,, PH (,6, //(,,5 7 5 z 5 (,, u (,, cos,( 7 [] (,, OA AH (,, (,, ( 6,, ' 7 5 z z 8 9 z 7 z ( (,, m (, 7, (,, (,, z (,, m (, 7, cos 6 5,(,, ( 6,,9 //(,, z (, Y, Z X, X Y Z X 7Y Z 9 6( X Y Z (X 7Y Z

28 S z 6 8z z 6 ( S ( ( ( z 5 S S cos (,, 5 (,, (,, m (,, d cos 9 cos 5, 6 S 6 cos (,, S z 6z z 6 ( ( ( z (,, 6 d 6 d r 6 5 d r (,, (,, (,, r r (,, t t z t z 6 t (,, 5 d r 6

29 S z r S ( ( ( z 5 r r r 5 8 r 5 r r 5 6 z S z z t 6 t S z t ( t (6 ( ( (6 ( t 5t 6 t. A(,,, B(,, AB S z m (,, (,, t D m S 7 t z t 9 t 7 t 7 7 ( ( t ( t ( t t D 9 ( 7 t m (,, m D, (,, ( t, t, 7 7 [] A(,, B(,, C (,,, O(,, OABC OAB,,c c OAB S ( OAB C OABC S

30 ,,, L Z ( L. / e im (. e, e im ( L og L C L e L R [] p p p p z,, z 995. N R

31

2 (1) a = ( 2, 2), b = (1, 2), c = (4, 4) c = l a + k b l, k (2) a = (3, 5) (1) (4, 4) = l( 2, 2) + k(1, 2), (4, 4) = ( 2l + k, 2l 2k) 2l + k = 4, 2l

2 (1) a = ( 2, 2), b = (1, 2), c = (4, 4) c = l a + k b l, k (2) a = (3, 5) (1) (4, 4) = l( 2, 2) + k(1, 2), (4, 4) = ( 2l + k, 2l 2k) 2l + k = 4, 2l ABCDEF a = AB, b = a b (1) AC (3) CD (2) AD (4) CE AF B C a A D b F E (1) AC = AB + BC = AB + AO = AB + ( AB + AF) = a + ( a + b) = 2 a + b (2) AD = 2 AO = 2( AB + AF) = 2( a + b) (3) CD = AF = b (4) CE

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