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. . 7 , ,

. . II - - - 1979 34.41 86 621 1. - ... 7 2. ... 9 IV. - 11 1. (868882) 13 2. (883941) 21 3. (942946) 4. (947972) 5. (973986) 6. (9871199) 7. (12001261) 8. (12621263) 9. (12641265) 10. , (12661267) 11. (12681271) 12. (12721277) 13. (12781293) 14. (12941314) 15. , (1315) 16. , (13161319) 17. (13201333).... 18. (13341335) 19. (1336) 20. (13371351) 21. (13521375) 22. (13761377) 23. (13781379) 24. (13801401),.. V. - 1. (14021403) 2. (1404 1428) 3. (14291452) 4. (1453 1458) 5. (14591483) 6. (14841512) 7. (15131521), 8. (15221523) 9. (15241545) 10. , (15461549) 11. , (15501554) 12. (15551559) 13. , (15601564) 14. (15651567) 15. (1568) 16. (15691575)... 17. (15761577) 18. (15781581) 19. , (15821586) 20. (15871588) 21. (15891599)..... - IV - I. (868882). 2. (883941). 3. (942946). 4. (947 972). 5. (973986). 6. (9871199). 7. (12001261). 8. (12621263). 9. (12641265). 10. , (12661267).

11. (12681271). 12. (12721277). 13. (12781293). 14. (12941314).

15. , (1315). 16. , (13161319). 17. (13201333). 18. (13341335). 19. (1336). 20. (13371351). 21. (13521375). 22. (1376 1377). 23. (13781379).

24. (1380 1401).

1. (868-882) > . 1, , , b 2, . .

1, - b b, 2. 3. b b .

1, A, b, . 1 2 - . - A, A , , 2 .

1, A, b, . 1 2 - . - A, , , 2 , d.

875 1 , b 2.

- 1.

1 , .

1 A. b 2, - . 2 ' - 877 2 b, 1, , 3. 1 2, . 4 , 3, 878 1, , . 3, , 2, d 2A 120 . . 3 , , 2 1, . u 3 1 , 3 1, 1 . b, . b . 3 1 2 , , b . .

1 - . 2, , , b b, .

- 1 2 1 3, .

- 1, A, a, b 2, . .

2. (883-941) 883 884 887 888 2 3 . 90. 1 . , F, b , , .

1 b .

AD . 2, , . 2 . . u12, 893 = . , . b. 1 . , , , b.

894 A u13, 13 = 1.

1 3, ' b'. 2 b, 90 ' b' 1 3. .

1, , 4 , , . . 3 5 . 1 2 b, d 3. 1 2 , .

898 897 <.

1, , 2. 2 3 .

898 1 3 2, . 1 - 3 .

1 . 2 , . s3 3 . . 3 .

- 1, , 2, 3, . 1 3 .

+ < < AD + DC <<

1 3 . ABCD, , DC .

902 1, - b b, 2. 3, 2, . b b .

7, A, , 5, . 1 2 - x x. - ABC, , , 2 .

1, A, 2, .

1 3 - . - ABC, , , 3 .

:

AB + BC 1 2 D. - ABCD, , , a DC .

:

AB + BC>DC + AD AD

1 b b . 2 , 5, D. 1 b b 4 2 , 3 D. ABCD, DC , .

907 1, , A, 2, 3, b. 1 3 b.

908 1, , . 3, D. 1 3 D. ABCD, 1, A, 3, . 1 2 D. D, 910 , 3, B, D 1, , 2, A.

1, A, 5, . 2, , c c D. ABCD.

1, , 2. 3, D 2, , b . 2 3.

1, , 2, D 3, , b . 1 1, 3 b, . .

1, D, 2, .

3 . 1 3. - ABCD.

915 2, b b, 1, , D. 3 2 - b b. 1 .

1 A 2, b b. 3 . 1 2 3. , 1, , 5, 4, . 1 b. 3 b. A 1.

918 1, A, 2. 3 2 b b. 1 2 .

1, , 3. z . 2, , , , , .

1 2 .

1 . 2, , .

4 2 3, , , . 1 3 O.

1 .

2 , d. 4 1 3 , .

3 .

- 922 1 2. 1 , 4. 1 2 3 4.

1, , 90, , . , 1 2, , b. 2 3, , . 1, 2, 3, , , , 1, , 2. , 3, 2 3 . 3 . 1 2 3, , .

- 1, A, 2, b 3, . , - 926 1, A, 2. 3, , b 2. .

- 1, A, 2. 2 b 3, . A .

- 1, A, 2. 3 , b 2, .

- 1, A, 2. . 2 b 3, . .

- 930 1, , 2. . 3, , b, 2. .

- 1, A, D 2, 3, 2, b 3, . .

- 1, , , 3. 2, A, d, q 3. 1 3 a d.

. , 1 2 . 2 d 1 2.

- 1 4, , 23, .

, 1 2, , .

1 2, 3 4, . 1 4 , .

935 1, , 3, b 2, .

3 b . 1 2 u12, A, 1 2 , . 3 1 , 2.

936 = DC. 1 D. b, d 3. 3 4, . .

1 b 2. , = ED. 1 2 - A= = = = CD. 4 , b 2 1;

.

2 1 2.

- 1 2 3 5 . 6 - . , .

1 , . 3, b , 1, 1 . 1 2.

4 2 3 1, , A . 1 , 5.

- 1 3 . b 2 k, . 2 d, 3. 3 .

3. (942946) - 1 2 4 3, 1, , 2. 3 2 D 4, . A .

- 3 .

1 3.

4, 1, 2. 2, D 5, , b. 4 1 2 3 , . , D K .

- 2, D, , b 4, 3, . , 1.

- 1 , b 2;

. 1 2 4, 3, . b , 4.

- 5, , , 2 - .

2 4, 3, . 1 3 .

4. (947972) - - - 1 , 3.

4 , 3.

- 2, D 1, 3.

1 4, A, : A . 5 3.

- 951 - - 4 ABCD, 3, 5, 2. 2 . 1 2 .

- 4, , 5, 1, D. 3 4 2.

2 . 3, 2.

- 954 - - 960 1 2, 3, 4.

1 A.

5 , 4 .

961 - 7, , .

3 1.

4 . F D 3 2, . 1 2 .

F . , .

3 , b . 1 2. 2 4, d 5, - . 1 3 b, 4 5. s 5 1 , d. 3 . 2 . D 2 4, f 5, g g.

s 5 D , - 964 - 965 - 2 AECD , . 4, . 2, 5, .

3 3, 6 . 5 1 B.

966 = . 1, A, 2. 2 D 4 3, . 4 5, .

D , 967 A .

1, , 2. D 3. 3 . 4 5, . D , 96S = . 1, , 2. 2 D 4 3. 3 . 4 5, q q. D , - 969 2, 4, 5 6, . 3 A, , 4. s 4 - - 971 1, , 3. 4 3 F 5, . .

- 972 5. (973986) - 3 4, D 6. 5 7. 1 3, 2, - , 7 - F.

- - 9 1 A. 4 , 1 2. 6 4 5 .

6 8, 3, . 7, D, 6.

1 2 3 .

- 1 .4.

3, . 8 D 7 2, b. 1 - . 4, .

5 6.

- 5, , 2, 1.

5 6, 3, . 4 D 7, d d.

5 8, 7. .

- 2, A, 3, 1. , . 1 6, D. F 4. 2 , 8 5. , 2 4 d d. 6 4 -.

- 979 1 A.

2 .

2 3 . 3 5, 4, 6. s2 2 - 980 1, A, 6. 5 2, . b d 4, D. F 4 8, f. 3. 1 - . 2 4, 3. .

- 981 1, , 4, 5. 5 A, 6. 2 7, .

1 . 2 3. .

- 982 1, A, , b 6. d 5, 4. f, 2, . 1 2 . 3 4, 5. .

- 983 1, B, 4, 5. 2, . 5 b,. 6. 1 2 - .

2 6 3. , - 984 2, A, 3, , 1, 9. 2 6, 5, 7. 7 8, 4. 1 4 - . 4 5 6. 2 , .

- 1, 2, 3 4 , q, . 5, A, , , d, e, f, k h 1, 2, 3 4, .

- 2 . 1 2. 6 1 4 5. D 2, 4 F 3. 2 K , b. 6 1 2, 3, 4 5 , . , D, E, F K .

6. (9871199) - ABCD , , 5 6 . .

D . . 7, 2, 3 4, B, D F, G, K 1, 2, 3 4, 988 - 3, , 2 4. 2 5, l l. 5, F 2, 7, . 1, , D 4. 8 9, K, 1. 2 > q > 0, 1 K - - - - 993 - 1, , 6 7. 2 D 6 3 4, t t . 5 7 d 4. 1 D , q q.

:

1, , b 2, , x, A, 2. 3, d d 5.

4, , 2, , f f 5. d d f f .

, 1, 3 d d f f 5 , .

- 995 - 996 b tEq = 90. 1, , 5, tEq.

4, , 3 . Et 3.

2, , 3. , , 1 tEq .

- 997 b . 1, A, 2, 3, . 5, A, 4, t t , 2. A , , 1 A, t t q q 2 4 .

- < .

1 A. 3 . 2, 3, D. 1, , D, 2, H. . , . g .

- 1 b2 m, 2 b2 . tEq 90. 1, A, 5, tEq. 4, , 3 . 5 Et 3. 2, A, 3.

, , 1 A tEq 5 .

- 1000 % b1 m m, a a2 b2 . 1, A, 2, 3, . 5, , 4, t t 2. m , , 1, A, t t q q 2 4 .

- 1001 AB = DC;

C B = A D B=D>;

>.

A BCD .

1, A, 3 8.

4, D, 6 3. 5 6 .

9, D), G 8 2, 7, 5 6. D , , , .

- 1002 1, G, 3, dMf , . Md 3 4, F, Mf 2 .

5 6, , Fm Gn 4 1.

F , G , GO Fx, - 1003 1, , 9 5. 3 5 1 7 . 2 D 5 6 7 8. 8 9 . 6 . 3 4, . 5 6 ED = DB, 1 ;

Dd . . qq. .

- 1004 , , 4 5, .

2. 2 4 6 . 1 D 6 , tt, 2, . 1.

, . g , - 1 . 2 3. 4 D 5, . 5 1, , 4 . 5 , - - 1 qq, 1 , 2. 3 K 2 4 5. 5 1. 4 . 1 qq K , - 7, 2, 3, 4. 2 5. 6 8, 9. 7 9 , 5, 10 4, 11. 11 10 ''. 1 , - - 1011 - 3, , 2 4. 2 F 5, ll. 6, A, 7, 5. 1, , K 4. 8 9, K, 6 1. q > 2 q > 0, K , = 0;

q = ;

= OD.

- 1013 - - 1, q q, D 4 5, 3. 3 4 2, . 1 q q p, xy = d, d . .

1015 - 1, , b 6, . 3, 1, 5 4. 5 2, q q, 6. 4 . 1 , ;

b . .

- - 1018 - 1, A, 3 5. 3 4, t t, . 4 b 6, . 2 q q, , 6. 1 D, b , , = , , .

1019 - 1020 - 1022 - 1023 - 1024 - ! Efc'BO 1025 - - - ABCD, , 5 6 .

.

D . . , H1, ;

H 2 180. 1, 2, 3 4, , D F, G, K L 1, 2, 3 4.

- 1, q q, D 4 5, 3. 3 4 2, . 1 q q , = d, d . .

- b tEq = 90. 1, , 5, tEq.

4, , 3, .

5 Et 3. 2, A, 3. , , 1 tEq 5 . .

- b . 1, A, 2, 3, . 5, A, 4, t t , 2. , , 1 , t t q 2 4 . .

- - 1032 > > . 1 . 3 . 2, 3, D.

1, , D, 2, H. .

. , - AB = DC;

BC = AD;

GB = GD < .

ABCD . 1, A, 5 3 8. 4, D, 6 3. 5 6 . 9, D, G 8 2, 7, 5 6. D , , , , - 1034 A , , 4 5, .

2. 2 5 6 . 1 D , tt, 2, . , . E G , - 1035 - 1037 - - 1039 - :

= b. 2, , 4. 4 5, . 1, , 7, q 5. 3 6 K.

1 K , 2 + 2 == , = .

- 1, , 3, 4, 2, - . 2, 2, 5. 3 5 K. 2 / , = 2, 2 2.

- : AD = DB = = , . . ADBC . 5 6 . 7 8 1 , q q. 3 4, 9, DC ADBC. q q K , 2 = 2, q q.

- 1 d d, Oyt 7. 6, t t, y, 5. b 4, D 7. 3 1 5 2, F. F , d d , 1 d d D q q, 2 = 2, .

- - 1, , , 5, 3, , 90. 3 4, D 1, , 2, .

1 q q, y2 = 2p x, .

1046 - 1, t t, , 3, . Cd 3 2, A, Cd: 4.

6 f 1 5, r r, . / t t D q q, = 2, .

- - EG = GF = FD= DE.

GFDE . 1, t t, 3 6. 7, G 3 4, 2 8. 2 9, D 5 6. 9 1. F , d d t t , 1 t t q q . DG .

- , 1, N, 2, 1 A, 3, D, 2. , 5 4 . 1 N . D , , DL . D F G 2.

- - 1, , 8, 4, , . Bt 5, 2, d d, . d d , 1 Bt .

- - 1 .

2, 1, D. 3, G, 2. 1 D, 2, H. . G . E, .

- 1054 AF = DF AK = DO, DO . 1, t t, 5 3 8. 4, D, 6 3. 5 6 F. , D, G 8 2, Fe. 7 F 5 6. D , t t , 1 t t F , Fe , F.

- 1055 - 1056 1, t t, 9 5. 3, 5 1, 7 . 2, D 5 6, 8. 8 9 . 6 . 3 4, .

, t t 5 6 , 1 t t q q . Dd , - 1057 BCD .

, 4 5, . 2. 2 5 . 1 N D 6 , t t, 2, .

.

, .

- - = = b BD = d.

1, , 2, z z 3, . 4, 3, Eq 5, 6, D 2. 5 7, z 3. : ' 2b/< 1 ;

2 b / = 1 2b/ > 1 .

- - OABG.

1, 7, 3. 3 , . 3 q 2, G. 2 8, 5, . 3 4, r 5. , , < 1, , = 1, , > 1. 3 . 5, r .

- PD = DA = PE = EB = c;

= = 2 OD = 0E = b.

ODPE . 1 7, , D 6 5, .

5 6 4, . 2 ;

- 1064 - - - - 1, F, 3, CD 4, . 7 2, E, Da Fb 5 1.

5 6, .

F , , F d d, GF : GA = FB : GA = , , 1 F . > 1 , < 1 = 1 .

- 1069 - - - - 1073 - :

= = = b/2 = /2. 1 3 5. 5 2 6. 3, , 7, D 2. 4 3 6, . 1 D q q, . - - - - - , - KB - 1081 : = , BN = = l, CG : GD = : DH, CF = EF, k = b 2 / 2, b q q. 1, t t, , N = l / 2.

5, , 1, Km 4, . 6, , r r, . 9 H, G D 2, 7 6. 7 F 3 8. 2 8 . 5, 3, 6. 1 t t 3 s s n, . , 2 8, s' s' q q . s s = kyc.

s's' - : DK = DC = b, b . 1, , 3 7. 4, , t t, 90 , 3. 6 , D, K 5, 7 2. 2 4. D 6 s s q q, G. s s - - , - , : DK = , DC= b, b . 1 3 7. 4, , t t, 90 , 5 3. , D K 5, 7 2.

2 4. / D 6 s s, q q, G. s s 1086 1 z z. 2 1 3, . 1 z z 2 , - 1087 = = = , . . . 4 . 1, 3. 3 D 4. 5, , D 3 4, 6 7, . 1 , = .

- 1 b 4 5, . 2, d 3, .

6 7, , 3 b 1. , due 3, - 1089 0A = A = a.

1, , 3, F 4, , . 5, , 6 7. 7 D 2. 1 D s s, - :

= = CD = DA = OF = . ABCD . 4, , 3, F, 2, r r. 1 9 t t. D . , D q q, , - 1092 - 1094 - - - 1097 1098 - : = = DC = = 2. 1, , 5, Bf 4, . 5, , Fd 2, ED 3. ) D , Fb Fd . 1100 . 2, D. ', b , . ( ) 2 ( 2 + y 2 ) = b 2 *x 2.

- 1101 1, A, 3, D 2, . 1 3, D, q q , (x a ) 2 ( X 2 + y 2 ) = b2x2, b = DB = CD, - 1102 - r . їr, t t . 1, , 3. t t, y, 3 Bf, . 4 2, . 5 2. 1 D 2 q qr x 2 ( r 2 + y 2 )= r 4.

- P 1104 DO = 2, q q. 1, 90, , On 3, 2. 4 3 5, . 5 t t, , A 2. 1 q q, F s s q q. s s (y 2 + 2 ) ( y 2 - 2 ) 2 = d 2 4.

- 1105 A = GD;

BE = BF = d 0 = , b . ACDG . 1, , 6 7. 6 D 5, . 5 4, 7, 2 4 7 3, . 1 q q, F q q. :

(y2 + x2) (b2x2 22 2ab 2 x) = d2 (b2x2 a 2 y 2 ).

- 1, AOd, 90, , 2, t t 3, , . Od 1 5, 4, t t 3. 1 , = , - 1107 - ۻ - "" - ۻ :

FC = BF = . 1, , 7, . 3, 90 , 2, , . Ab 3 5, 4. t t, , 5 4. 1 D 7 q q, - ۻ - 1112 1 2 q, . b 1 2 3, . 4 3 5, 6, 1 2. 1 2 q K , x 2 / 3 + 2/3 = l2/3 l= . .

- - - - - - : = = = a 2 / 2 b, b . 1 5 3. 4 3 . 5 6, , . 7 3 2, . 2 6. / D 2 , ( 2 x 2 ) x2 = b2y2.

- : EF = OG;

== = = FC = - O = /2. FG . 1 4, 3, . 5 , F 2 6 7, , .

2 . 6 G 3. 8 4 9, . 9 Cd 7. 1 D 9 q q , y4 = a4(y2 - x 2 ).

- - - - 1 7, 6 . 3, , Bd 4, , Bf 2, . 5 3 1. 1 D q q, - : = = B = ;

= OF = FE. ECOF . 1 A 9 3, Od 2, . 9 4, . 4 Ob 8, , F 7.

5 2.

5 7 6, . 1 D 4 q q, - 1 2, , 90. 2 3, . D s s, ( - ) = (b + ) (3b + - b + ), b .

- - - - 1129 - - - - - 1 3 5.

2 3.

6, , 5. 4 6 7. 7 3. 2 D 5 s st 4r2x + = 8r3, r = .

- = = . 1 3 4. 3 6, , A 90 . 6 b 7, . 5 4 7.

1 D 7 s s, xy2 = 22( ).

- : = b, = , b . t t, 3. 3 4, m, 90 . 5, , 2 6.

7 q q, 90 b 8, . 9 2 8.

1 t t , D s s , 4b2x + xy2 = 8b2.

- ї = r. 1 3 4. 3 6, , 90 . b 7, . 7. D 7 s s , 2 2 + = 2 r.

- - 1139 1 F 3, 4, t t, 90 x. 2 6, . 6 Bf 3, Fd.

1 F D 6 s s, 2 (x + ) = ( ), .

- - : OF = OG FH = GH. 1 3 G F 5, H 6, t t, 45 . 3 7 8. 7 A 11, , 90 . 8 10, q q, 90 . 2 11. 12 13 D 1 2. 1 D s s, x + y3 = 3axy.

- - 1143 : = CD = DF = FE, . . ECDF . 3 5, , b 6, 7. 4 3 K 1. 4 1. 8, 9, 10 11 . 9 10 F. 2, 4, 12 13, ED ECDF. 1 K 2 2 2 2 2 4 (x +y ) - 2d (x y ) = d, = 2d = AF = 20F = 20.

- 1144 - - - - 1148 - 1149 - 1150 BCEF, 6 q q. 7 8, , b Ff 2 3. 6 5, .

, 6. tMt, 4, q q.

9, A, .

D 10 r r, q q.

- - 4- 1, r r, , 2 3, . 7 t t, . 8, 90 F. Ad, , 7 6, 5. Ff 8 9, . 9 On 5 2. 4 3. 1 r r s s, D 4- , . q q:

x2y2 2 2 = 2p2, .

- - 1 90 , , Cm 5, 2.

2 3, , . t t, , 3 4, D 5. D , = b = .

- 1, , 3 6, . 4, , , t t 2 3. 7, 2, Bf 5. 1 D 2 q q , = b = DE .

- - - - :

= b;

GF = EH- GH -2 FE;

: = ED : ED- * = b. GFHE . 1, , 3, Bd 4, . 4 , x. , 2, 4 6. 6 G 3 7, 2. 1 D , 2 2 y (x b) 2by + b = 0, b .

- 1, , , x. 2, , 45 , At, , 1, Am, , 4, .

4 r r, . 5 1 3, 4.

1 D D' 5 q q q' q' , ( + )2 (b2 y2 xy) = (b2 2 )2, b = = BD' .

- 1161 - AD = r, r p, .

1 D 2, . 3 4 5. 5 6, t t, . Bf, , 6 2. 7 4 2. 1 D , q q, x4 2bx3 (r b ) x2 + a2 y2 = 0, 2 b . 3 ', , q'q', 4 2rx3 + 2y2 = 0.

- OD = r, r , . 1, , D 2, . 3, , 4 5.

5 6, t /, . Bf, , 6 2. 7 4 2.

1 D , q q , x4 + r 2 2 + 2y2 = 0, , - OD = r, r , . t t . 1 D 2, . 3 4 5. 5, t t, . f, , 6 2. 7 4 2. 1 D , , x4 = r2 (x 2).

- = = AD = r, r , . 1 D 2, . 3 4. 5 6, t t, . Bf, , 6 2. 7 4 2.

1 D , , 4 3 x 2rx + r y = 0, - A = = AD r, r , . tt . 1 D 2, . 3 4 5. 5 6, t t, . Bf, , 2. 4 D 2. D , , x4 - 2rx3 + 4r2 y2= 0.

- 4- A= = r, r , 4- . 1 3. 4 3 5. 6, t t, . Bf, , 6 2, . 7 3 2.

1 , D 2 4- , 22 + x2y2 2a2b = 2 (r2 b 2 ), b .

- 4- = r, r , 4- . 1 5, 2, .

4 t t, 3, 1. Bf, x, 4 2. 1 , D 2 4- , 2 2 2 2 x (a + y ) = r, .

- 4- 1 , . 3, 90 , 1 f 2, . 1 D 3 4- , (x3 + cd)2- + ( bc)2 = (ab + dy bx) 2, a, b, d .

= D 3- .

- 4- 1 , . 3, 90 , 1 f 2, . 1 D 3 4- , (2 + cd)2 + ( + bx)2 = (ab + dy bx) 2, , b, d .

= D 3- .

- - - : BD = ;

= b, b q q. 1 p, D 4, 5, t t, . 1 5 Dd f, . 1 5 6, . 2 4 3, 6.

2 q q. q q. s s r r, F 2.

- ACDG, 5 q q. 1 6 7 4, F.

2 3, F 4 7. 2, EBF, q q.

t t , F.

- 1175 - 1 . 3 1 K 4, 5, 1. 2 .

1 2, , A. , x . , y = k eax, = , k x = 0, .

- 1177 1178 1179 - 1180 - 1181 1 2, 7. 7 6, q 1. 4 5, K, 2 6.

3 . 1 3, , . 2, , , , = AD;

b = 0, , - ABCD, , 5 6 .

2 4. . , 4, . .

D . 2 , D . 1, 2, 3 4, , D F, G, H K 1, 2, 3 4.

1183 - A, , 5 6 . 2 4. . , . .

, 4 .

, 4 . 1 2, F G 1 2.

, 1, 2, 3 4, 5. 2 4. 5. . 2 , 4 . , A F 4.

, 1, 2, 3 4, 5. 2 4.

5. . 2 , 4 . , F 2.

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