1. 1:

2. 2 1 ; , == . . 2 ; xy , , x = y= . . 3 ; , , , .. xy yz . , . ,, . 4 ; ; . , .. . 2: 3. . . ( ) . 5 : . , , . , .. , , B . , . 6 ; , ... xy xy yx xy . 7 . xy xy . yx. 3: 4. 8 . xy xy xy. x = . , 1 = x 2 = ( ) . 1 = 2, xy. 9 . , . + = 2 2 + 2 = 2 + = 1 = 1 . . 10 ; ; ; ; ; ; ; , . . 1, , 2. , . , . , . , . , . .To . . . , , . . , . 4: 5. 3 1 ; . , , , , , , . ,, , , , , , , . + + , 2. 2 ; , , : , ., : , (.2) , (.3). = , , (.4). 3 ; , , , (.5), , (.6). , , (.7). 4 ; 5: 6. , . . . . , . A . B . , . , , . . , . 5 1 . (1 ): , . 6 : . . ( =). . = , A1 = A2 (), , B = . = , 1 = 2. 1 + 2 = 180 1 = 2= 90, . 7 .6: 7. = = = = == . 8 . . =, 1 = 2 = 90 (), , = . 9 , . (,) . = . = (= ), = (= ) =. , = . 10 2 . (2 ) : , . ) = , B= B = . = . AB , .. > . , = . = , = B= B, () , = . = , = , < . , =. , , = , = B = B, () . 11 3 . (3 ): , . 7: 8. = , = , = (.17). A= A. . x, Bx = B , = . , = , = B= B. = = A. = = , ,A1=1 (1)., = = , A2= 2 (2). A , (1) (2) A= . = A, A= A, . 12 , , . = . =, =, () , A1 = A2, 1 = 2. . 13 . , , = . , , . 14 . .8: 9. 15 , , , , . (,) , = . := (= ), = (= ) = , () ., = , = . = . 16 . : (), (), (). 17 . xx, xx . xx, . xx. xx y xy =AM x , = . , xx, xx , . = 1 = 2, , xx. xx . , , = 1 = 2, 1 = 2. 1= 90, 2 = 90, 1 + 2= 180 ,, , , . 18 ; , , 1() 2 () : , , . , , .9: 10. 19 , . A = A=90, = B = B. = . , .. > . , = . = , = = , , = = 90, . (). . = , , = , = = (). 20 , . A = A = 90, = = . B = B. , = = . ., , = = . = = . = , = = ( ), , B = B. (). 21 . := ( )= ( )1=2=90 ( ) ( ) = 1=2 . 22 . 10: 11. (,), , . (= = ), , 1 = 2. 1 = 2 = . 23 . : , : . . 24 .. (,) , . , = = 90, = (= ) = ( = ). , = .. . = = 90, = = , , AK = AB2 = 2 = . 25 .. xy . MAOx MBOy. A = B = 90, = , = .. . MAOx MBOy = . , A = B = 90, = = , . 26 ; .11: 12. 26 ; , () . .. : , . , . , ( ) . 27 ; ; 180 ; , , . , . , , , . .A , , 180 , . 28 , ; , : (.). (.). (.). 29 ; ; ; 12: 13. , , . . , , , . . , , , , . 30 , ; (.). xx xx xx (.). (.). (=) (.). (.). 31 . ; . (.47) , , , = . Ax A Ax = A. : = , = 1 = 2, = . A A A >. A> B. :) .) 180. 32 . ; > . , =. B1 = 1 = . 13: 14. B, B > B1 1 , 1> . B > > , B > .. B > . >, = < B = B< , . :(i) , .(ii) , .(iii) , . 33 ; : . . < + , , = . , = 1 1< . < , < < + . < + < + . , > - , > - , , . : 34 : , , .To , , = .. = . , = . 35 : :(i) .(ii) , . 14: 15. (i) , . , , > .(ii) . , , , . , , . > (.57). > . , , B , B > = 1, . , , >.. > . = , = , . < < > . 36 ; (,R) xx = xx . R : > R, = R < R. > R. , , OM > OA > R. , xx . = R. , xx (,R), > = R. , xx . . , xx (,R) . : . . < R . . x , = R. , > = R. x, , , , , , . x , . , xx . xx, . . : >R, . =R, . R + (.). (i) , (, ) (,R), = R - (.). 16: 17. (ii) , , = R + (.). . , , R - (.). . 41 . (KR) (,) , . = = R, . = = . , . (, R) (, ) , R = , ., R = , = = . . 42 ; , , .17: 18. 4 1 ; ; 1 2, , :i) (.),ii) (.),iii) (.). 1 2 ,: 1 2 . 1 2 , 1//2. 2 : , . = . 1, 2 , , . 1//2. 3 : , . 1//2 . .. = . , x xAB . x//2 . 2, . = . 4 : , . i) ,ii) . 18: 19. 5 : 1 2 , , 1// 2//, 1//2. 1 2 , , . 1//2. 6 1 2 , . ; 1 . 2, //2 2, . 2. : , . 7 : 2 , . ; 1 ,2 + 2. 1 2 , + 2. 1 2 , , . , , A1 > A1= 2- + > 2, . 1,2 .: , . 8 ; , . . , . A = //, , . .19: 20. 9 , , , . xAy xy x//x y//y, , . x By x y . . : . . , . : , , , . 10 1 2 . (i) .(ii) .i) x, By A . = A/2 = /2. A = ( ). = . x By . x//By.(ii) z A, z x ( ). x//By, Az By. 11 ; . . 12 , . , , , . x y , , . , =. =, . =, . , (O,OA) .20: 21. 13 ; , . , , . 14 , . . I + = 2 + 2 < + < 2 , = . , = . A., . , . 15 ; . . a . , , , , 16 : , . x y , . x y I, :x + y = /2 + /2 = 2 - ( + )/2 < 2. , . A, .21: 22. 17 2 . , .. , xy//B. = (1) = (2), xy . + A + = 2 (3). (1), (2) (3) :A + + = 2 17 : 2 :i) .ii) , , .iii) .iv) 60.i) A + B + = 2 + = 2, A + B + = + = A + B.ii) - iv) . 18 xy = xy= xOx OyOy. A = B =1 1 = 2(). , = . 19 .ii) .i) , ( ) + =2, + = 2, =, = .ii) , ( ) + = 2, + = 2, = . 22: 23. 20 - 2-4 ., . 2 . 1+2+3+ ... + = 4 :1 + 2 + 3 + ... + = (2 - 4) . . 12... , .. 1 . -2 , , 12 1 1, . -2 2(-2)=(2-4) , : 1 + 2 + 3 + ... + = (2 - 4) . 21 4 .23: 24. 5O - 1 ; ; ; . , . , , . . 2 . . , // //. 3 :(i) .(ii) .(iii) . i), ii) , :1 = 1 = ( ). .2 = 2 = ( ). , , = = . A = = = + . iii) , . : = 1 = 1 = ( ).A1 = 1 = ( )., , , = = . 24: 25. 4 ; . . 5 ; ; , . , . 6 ; : .(ii) .(iii) .(iv) . , , .(i) = = . , , = , = . 1 = 1 = 2 = 2 = , // //, .(ii) // = . , =, 1 = 1 = . , (i), .(iii) = = = = + + + = 4 2 + 2 = 4 + = 2. , + = 2, // + = 2, // , .(iv) = = . , . , (i), // // , .25: 26. 7 ; : , . 8 ; : . , ( ), . 9 . . . . (A = = 90, , = ), = 10 . , :(i) .(ii) .(iii) .(iv) .(i) .(ii) = . ( = , = , ), A = . A + = 2, A = = 1. , .(iii) , 4.(iv) , .26: 27. 11 ; : . . 12 . (i) .(ii) . . , A. A. . 13 . , :(i) .(ii) .(iii) .(iv) .(i) (ii) .(iii) . , . , , . , = . .(iv) A. ( ), . 14 ; : . 27: 28. 15 ; . , :(i) .(ii) .(iii) .(iv) , , . 16 . , . , :(i) .(ii) .(iii) .(iv) .(v) .(vi) . 17 : . , , . // = B/2 . EZ = . , . = // , = // , = . , :(i) // // (ii) // 2 = = /2 . 18 . 28: 29. : , . . . . Z , , // . , , , . . 19 ; : () , . 1, 2, 3 1 , , , (.22). 2 1, 2, 3 , , , = . // . , = (1) = (2). // . , = (3) . (1), (2) (3) = . 20 1 2 1 2, . 1 2. 1 2 = , 1 2. 1 2, 1 2 , = = /2 ., 1 2, + = = , = = /2 . (// = , // = ), // 1, 2. , .29: 30. 21 , , , , ,, . . . , =// /2 (1) =// /2 (2) (1) (2) = // , . : . 22 . x , , . , , . , = = . 23 ; 2/3 . . .i) = . , E =// /2 (1). =// /2 (2). (1) (2) // // , (3). , = . , , ( ) .ii) = = 2 , = 2 = 2. (1) (3) = 2 = 2 = 2. (2) (3) = 2. , , . = + = 2 + = 3. = 1/3, = 2/3. = 2/3 = 2/3. : . .30: 31. 24 ; : , , , . , , , . , : = = , = = = = . , , . . , . , , . , ,, . , , , ( , ) . , , . . : , , 25 ;: , , , , , . .. , . , , . 26 . 31: 32. : . ( = 90) . = /2. . , // . , . , , = , = /2 . : , . . = /2 . = , 1 = (1) = , 2 = (2). (1) (2) 1 + 1 = + , = + . + + = 2 , 2 = 2 = 1. 27 30 60: 30, . ( = 90) = 30 . = /2. = 30, = 90 - 30 = 60. 2 = = 60, . = = /2 ., = /2 , = 30. , = 2= = ( = 2). , = 60. = 90 - 60 = 30. 28 . ; ; : . . . . 32: 33. 29 ; : ., , :i) // , E =(1). ( // ) , . .: //, E = /2 (1). //, = /2 (2). i) // , ( ).ii) (1) (2) K + KZ = + E = 30 . : . , , // , = 2 (3)., , // , . (1) (3) : - = =- =( > ). 31 ; : 32 33: 34. , :(i) .(ii) .(i) (// =). . ( = = 90, = = = ), = . + = 180 + = 180 ( ), = .(ii) ( = , = ), = . 33 . , .(i) .(ii) . 34 :i) ,ii) .i) (//) . , A1 = 1 = ( ).ii) , . //. , , . 35 ; , , . 36 ; ; ; : . (,) . . I I I , . . . . .34: 35. 2 1 , , . , , , 2 , , i) ii) . xx, yy, zz z y i) xx, yy . yy, zz , zz, xx . .ii) y, Ay, z, Az, .y z ., , . , , . . . , , . 3 , , = . = . = + = + = 35: 36. 4 , . , = 2. = 2 = 2 . + = 2 + 2 = 2( + ) = 2 5 , , . i) =ii) =2 2 . , , , .., , = , = = , . = = , = = , = = AB = == 2 22 i) = = =(1)2 2 2 = (2) 22 2 2 (1), (2) = 22 ii) M = = = (3)2 2 2 = (4) 2222 (3), (4) =236: 37. 6 , , . 2 () ., = , =21 AO 1 = 2 = 2 2 = + 2 = + = 22 2 = =222 2 7 , . 2 () . , = , = 2 1 = 2 = 21 2 O = 2 = =22 2 = = =2222 2 8 , , . x, Oy , , AO xOy =y 2 () 3 42 x , .1 , 37: 38. = , =, = . x 1 = 2 =2 Oy 3 = 4 =2 2 xOy = 2 + + 3 =++ = 22 2AO 2 == = 2 2 22 AO xOy =2 9 1 2 . 1 2 ; 10 (, R) (, ) R > . , , , . = = .. = = R = = R = O = + = R + = + = + R = 11 20 . . + 20 = 90 2 = 70 = 35 90 35 = 55 . 38: 39. 12 , , , , , , , 1, 2, 3, 4. . 2 1 2 3 4 3 O 4 + + + = 360 + 2 + 3 + 4 = 360 10 = 360 = 36 = 36 , = 2. 36 = 72 , = 3. 36 = 108 , = 4. 36 = 144 . 13 , . , , ,, , , . = x, = y, , x, y. x (1)2 2 2 2 2 x (2)2 2 (1), (2) = . , . 14 (, R) , , , , 150 ,0 450 1050 . . . M . 3600 1500 450 1050 600 . O 600 30 0 22 A 1500 300 1800 , . 39: 40. 3 1 , = = . = . . = .1 2 1 A 2 = 2 , , = = . . , 1 11 = = ( ) . = . = 1 = 3 . , . M . = . , () . = = 40: 41. 4 = = . , 12 1 2 (-) . = . 5 = , = = . . . = , = ( ) =, ., (), = . , = , = =, () . 6 . ,, = , = , = , . 1 2 1 2 () . = . 1 (1)11 2 2 2 (2)(1) + (2) 2 1 7 . , , . , . 41: 42. = . = . A = = B 8 . , . . . = . = = 2 11 2 2 2 9 = , = A A . , :i) = = ii) = = i) ( ) . = . ( ) . = . = ( ) . = . = ii) ( ) . = . = = . 10 . . , .( ) = . = ( ) = . = ( ) = . 42: 43. 11 , , , , . ( ) . = . = = = . = . 12 = . . , .( ) . = . = ( ) . = . B 13 . , . i) = ii) BAM BAMiii) iv) = = . A 11 11 . = . A , , = .. . 1 1 i) ( ) . = . = = ii) ( ) . = . A1 1iii) ( ) . = . iv) iii) = = (i) = , = .43: 44. 14 , , . , , . , , . = , , . 15 ( = ). . = . :i) ii) .i) = . E ii) . . , = , = . , . = . , : = , B = AE , . 16 . , = , =. , , : (i) , , (ii) = .44: 45. (i) ( = = 90) = ( ) 1 = 2 (). , . = = 90, = 1 = 2.(ii) =. = . = . 17 , , , . = . , = ,, . ( = = 90) = , 1= 2 . , = . 18 :i) ii) i) A = , , . = . , = B K Aii) , . = . , = B 19 . , , , . . = . = 45: 46. 20 , , , .AA .. = . B = . = 21 ( = ) . :i) ii) . , i) . = . 12 , 1 2 . = ii) . = . . 22 , .2 1 2 1. = . 2 2 1 1 ( ) . = . = ( ) . = 46: 47. 23 , . . = . = = . = . . ( ) . = . 24 ( 1) . , . .. = . , 1 2 . = = (1) . = . 2 , = 1 2 1 2 = (2) 1 (1) + (2) = . . 25 (, R), , . , :i) ii) MA = M = i) = . = . ii) i) MK = M (1) = = = (2)(1) + (2) = (1) (2) = 47: 48. 26 , , . = + + = + + + = + (1) = 11 = (1) = = A A . = . (2). 1 (3)(3) 1 2 2 (2) . = . = . 27 , . . = ( ) ( , ). M . (, ), A1 , A 2 , . 28 . , , , , , . . . = . . = = . = . 48: 49. 29 , . , :i) = ii) , , . i) = = = 1 ii) O1 O 2 O3 O 4 2 43 , O1 O 2 + O3 O 4 = O 2 O 2 + O3 O3 = 2 O 2 + 2 O 3 = 2 ( O 2 + O 3 ) = 2. 90 = 180 . 30 , . = , = > . B > . > , Ax , x = . x , = . ()., = . , , = . , . =, = , , > . 31 , : i) > ii) + i) . > 1. 1 , 1 > . > .(ii) : + + 49: 50. 32 . : (i) ,(ii) ,(iii) , . . . ( = , = , 1= 2 ). = (1) 1 = . 1 = = (2), , 1 = 2= . (1) (2) =. , = . 33 B1 1 . B1 90 .0 B1 1 (1) B . (2)12 (1) + (2) 21 1 2 21 1800122 1 9001 34 = , =. ; = 1 1 (1) A1 1 2 (2)2 (2) (1) 2 2 . = , . . . 50: 51. 35 , < . . 1 1 , 1 M > 36 ( = 90), . < . = (1) . . < (2) (1), (2) < 37 . . = = .( ) . = . B1 1 (1) . B (2) 22O 22 (1) + (2) B , . .1 1 38 ( = ) , , . , , . : B , B , 1 2 1 2B2 2 . = 2 21 1( ) . = . = 51: 52. 39 , . 2 ; 2 2 . 1 2 < 12. < 2+ , 22 40 < . i) ii) iii) 222 1 i) = 2 = . () . = . = < 1 (1) < , . (2) 2 (1), (2) 1 2ii) : 2. 2 2iii) ii) 2. (1) 2. (2) 2. (3) (1) + (2) + (3) 2 2. 2. 2. 2. 52: 53. 41 (,R) . i) . . < < + < < + O < < ii) = 2ii) + + + ;i) . : + > . : OB + O > . : + > . : + > 2 ( + + + ) > + + + + + + >253: 54. ii) , + > , + = + (1) + (2)(1) + (2) + + + + , , + + + + . 44 ( < ) = = . . :i) ii) .i) ( ) . = . E1 B1 . E B 1 2 23 2 E 3 B3 . ii) , M 21 , 3, . , , , . 45 , , . i) E < EB ii) E < Bi) , < , < (1) ii) B BE, B < , < (2) (1) (2) < < < 46 . , A = , < , < B 54: 55. 47 , , , , . ( ) ( ) i) = ii) iii) H OM , , i) , 48 , . 49 (, ), 1 , 2 ,. , , , = 9012 1.2 . . , , . 50 (,R) . , . .55: 56. = = = + + = + + = 2 51 , , . (, ) = , , = . (--) . = . = = = 52 (,R) , . . . 12 3 2 3 , 1 2 = 1 2 3 = 3 3 53 . , , . :(i) .(ii) .56: 57. (i) () . (1). , , (1) , ().(ii) . = , () = , (). =. 54 (, ) (, 2) i) =2ii) K = iii) = 2iv) = 3v) = 4 R 2 R1 2 R 2 R1 2 3i) < R 2 R1 (, ) (, 2)ii) = R 2 R1 iii) R 2 R1 < < R 2 R1 iv) = R 2 R1 v) > R 2 R1 . 55 (,R) , < 2R. (, 2R). :i) (, 2R) (, ) ii) (, R) iii) (, R). = R 1 = R = R 2 = 2R = R 3 < 2R i) R 2 R1 < < R 2 R1 2R R < O < 2R + R R < < 3R 57: 58. ii) (,R) , . .iii) = 2R = R , (, ), , . (,R) . 56 O1 , R 1 O 2 , R 2 O1O2 R1 R 2 2R 2 .i) N .ii) ( O1 ) , ( O 2 ) , , , , . N , , ( O1 ) ( O 2 ) .i) O1O2 R1 R 2 . R1 R 2 2R 2 R1 R 2ii)O1O 2 O1 A + AB + B O 2 A BO1M MN NO2 O1A AB BO 2 M1 2 MN AB AB A O1 + O1 O 2 + O 2 B AB O1 M + O1 O 2 + O 2 57 . . = 90, . , , , .. 58 , , (, R), < > 58: 59. , , . : AB < BE OK > O .AB < BE 22 < ) 1 1 1 1 ( )) 2 > 2 ( 1 , 1 ) > ( ). 59 , , , , , = = . , , , , . () . = . = . 1 11 1 222 2() . = . = . 2 1 1 2 . . 60 = = . = 1. 22 . = = . . 1 = 2 = 1 2 ( - ) . = . = 2 = . . = 1, = 1. 61 , , . , = , = = , . ( ) . = . . = . = = = ( ) . = . . = = .( ) . = ..59 : 60. 4 1 = 120 = 60 + xx || x x + = + = 120 + 60+ = 180 xx || 2 x y . x y , . O 12 || x 1 1 2 1 1 2 . .x1 y A 3 x y . y , x . = . 2 ( ) ( ) 1O 1 212 . = x y 60: 61. 4 ( = ) . (, ) , . = () 1 = 1 1 5 ( = ) . x = . . 1 2 x M x 1 (1) = = . 2 (2) (1) (2) 1 2 x 6 . // . = + = 2 1 1 1 2 1 2 1 1. = 7 < x. //x . = . = 2 x1 1 1 //x 1 112 1 1 2 1 1 1 61: 62. 8 , . = + B // I1 2 B B 12 I 1 1 B1 . I 12 = (1) = (2)(1) + (2) + = + = + 9 // //. . // 1 B1I B1 B2 I B . I 1 2 1 1 2 = (1) = (2)(1) + (2) + = + + + = + + . = 10 , Bx. . (, ) , (, ) x , //. // . x M K = () Z1 B2 B B 1 12 2 4 3 1 Z1 B1 , // // 11 x y. , x, y , = = . . 62: 63. x y //x y 2 1 ( )1 = 11 1 2 1 23 1 4 . 12 < , . . = . // 11 2 2 1 2 . . 12 (1) // .. (2) (1) (2) = 13 < . , . i) .ii) + = iii) A ) = =2 ) = =2 i) // 1 1 1 2 1 12 1 2 1 1 1 . = 63: 64. ii) BE + = + + = = + = iii) , .(--) . = . = (1) i) 1 121 2 2 2 . = (2) (1) (2) = (ii) 2 BE = AB + A 2 = =- 2 2 ==22 14 = x , x = 110 =70 , = 180 2 = 180 140 = 40 55 15 60 = 60 =180 2 =180 120 = 60 = 60 2 = 180 = 120 = 60 , , . 64: 65. 16 B . = 144 . = + B 144 = 3 B + B 144 = 4 B B = 36 = 180 - = 180 144 = 36 B = . = 17 = = x = 108 . . = A 2 108 2 1 1 1 = + A 2 = + = 2 1 = 2 1 1 1 180 0 1 2 2 180 1 180 40 0 A 2 + 1 + 108 = 180 + 180 4 + 108 = 1803 = 108 = 36 18 90 , , //. 20 0 , . : = + 2012 + = 90 + 20 + = 90 2 = 70 =35 = 55 // = = 55 = 1 = = 452 19 900 . . .( 2 4) 90 = 900 2 4 = 10 2 = 14=765: 66. 20 A . , x//.) = = = . A = + = 2, A/2 = A1 = = . x//, .(ii) x// A1 = ( ) A2 = ( ). = ( A1 = A2), = . 21 . (i) 90 + A/2 .(ii) A/2.(iii) 90 - A/2. I. .(i) : + 1 + 1 = 180 = 180 - 1 - 1 = 180 - 2 - 2 = 90 + 90 - 2 - 2 = 90 + A/2( A2 + 2 + 2 = 90). (1)(ii) . : = 90 = 90 + (2) ( ). (1) (2) = A/2. (3)(iii) I = 90, + = 90 = 90 - . (4) (3) (4) = 90 - A/2.66: 67. 22 900 . = 2 900 90 022 2 2 1800 180 2 0 180 180 2 0 0 = 23 . i) ii) 90 0 , 90 0 22Ai) A1 = A 2 =1 221 1 2 1 = + A (1)2 2 A (2)2 = + 2 (2) (1) 2 1 = ii) H (1) 1 = + 90 00= 90 + 0 = 90 2 22 2 2 2 24 . = . 2 = - 1 A1 = 2 1 = 90 . E67: 68. A = ( 90 )2 A= 90 + = 2 A = + = 2 2 2 2 2 25 , , 2 1A 1 = 180 1 1 = 180 2 2360 0 =2 360 , ==22 26 . 2 180 2 180 0 0(1) . : 90 1 0 (1) + 2 ( 90 ) = 180 01 1 + 180 2 1 = 180 = 2 1 27 ( A = 90 ) . . . : B E1 = E 2 = 90 - B1 = 90 (1) 1 1 22 2 . :1 B Z1 = 90 - B 2 = 90 (2)2 (1) (2) E1 = Z1 . . 68: 69. 28 ( = ) . , , = . . 2 90 0 = 1 = 1 . = 21 1 2 (1) 12 2 = . + = 180 2 + 2 = 180 2 1800 90 (2)02 (1) + (2) 2 90 0 29 . , 2 . B1 = 90 1 1 1 = + 1 = + 2 ) = B1 = 90 ( + 1 1 2 = + + = =2 2 22 2 2 2 30 = . , , = . , , . , . 1 1 + + 2 = 180 + = 90 = 90 1 2 2 1B 69: 70. B = 2 1 1 =(1) 2 = 2 + 2 + 1 = 180 2 2 = 180 1 2 = 90 1(2) 2 1 = B (2) 2 = 90 (3)2(1) + (3) 1 + 2 = 90 31 ( = ) . , . i) B = ii) > i) 1 = . : = 90 - 1 . : = 90 - : = 2 1 = 111 ii) . > , 2 > 1 . , , = 90 , . 21 , 1 ., . 1 32 , = = . i) AZ = AHii) AZ AH i) , . 1 = = 1 1 , , 70: 71. 1 1 . , . , 1 1 .ii) . = . 1 = . , , 1 . 33 A = 60 . B = . . = A + 1 B = 60 +2 = + . 1 1 1 = + .2 60 + = + 22 60 =+2 2 120 = , A = 60. 34 , 1 , = = . . 3 // = = 60 = 60 , 2 = = 3 1 = , . 3 M , ., . 35 A = = 90 = . = . . 71: 72. 1 = 3 , 2 3. = . , 1 = . 3 1 21 = + 122= 90 3 + 90 3= 180 3 3 = 36 < . :i) To = .ii) = .iii) = . i) 90 < 90 ( . M , ) . < < ii) > . = ( ) . = . = = . = < < = iii) i) < = (1) 2 ii) >= (2)2 (1) (2) = . 72: 73. 5 1 . . = . 1 = 2 1 2 || = 12 1 = 1 1 . = E , / = = . 2 . , = , . E O , . Z 3 , . i) ii) , , .i) = || = || O ii) , . , , . , , . 73: 74. 4 . . , = 12 /, =1 , , = , 1 2 1 = 2 . 1 = 2 . , 1 1 5 ( = ) . // ( ) // ( ). + = /, = , , = , 1 = . = = . 1 || 1 1 6 . //( ). // + =180 11 . . 1 . .1 11 . = . 1 = 1 , = , , 1 1 = , = . , , //. 74: 75. 7 . = = . , . , / = || = || / // (1) / = // = // / // (2) (1), (2) . 8 . , = = . i) AH = AZ ii) , . / = // (1) / = // (2) (1) (2) i) AH = AZ ii) , // 9 , , ,, , = = . i) ii) , , . / = / , . = / , .i) , ( ), /ii) , , .75: 76. 10 = , = . Z = 90. , 1 = = 2 1 = 2 2 3 1 4 3 = 4 . 11 . = = . , . . 1 + + 2 = 1802 = + 1 1 . . 1 = Z = 2 1 1 = (1) 2 2 =(2) 2 = , + = 180 .(3) (1), (2), (3) 1 + + 2 = + + = + = 180 .2 2 12 ( = ) . = . . , 1 = . . = = . B 1 , =// /, . 76: 77. 13 . . Z , . 14 = 2 . , , . , = 2 = O , , . 15 , , . A , 1 1800 1 1 900 1 2 22 2 , , = 90 A 90 . 0 . 16 , , . / , .: = , = . = , / . : . , = . = 77: 78. 17 . , = = = . . : , / , , . O . 18 . , , , , , = = = . . , K .1 2 3 . K 1 = 1 = 1 , . 1 + 3 = 90 K + = 90 .13 K 2 = 90 ., , , . 19 , . , . , . 1 1 1212 = 1 = , . 1 /. , = ., / .78: 79. 20 , = . i) = ii) AZ i) 21 , = 1 = 1 ii) + = 90121 1 + 2 = 90 , . = 90, . AZ 21 , . , . . = (1) =// / // (2) =// / // (3)(2) (3) /. (1) . 22 , , . . = = , , = K N ( ). = . 79: 80. 23 B = 45. ( ). . , 1 1 = 1 = B = 45 ( ) 1 = = , , , . 1 = 45 , = = . 24 . , = . 1 = 2 + 3 1 = 2 3 21 1 = 1 + 3 1 1 , 1 1 = 1 + 1 . 1 + 1 = 1 + 3 , 1 = 3 , . 25 :i) ( ).ii) , , , ( ).i) MK, , + = ( ) 1 1 = M , , = . 80: 81. , . NM ( ) = ., , , = .ii) MK, , . = (1) i) ., + = (2) ( )(1) + (2) + + = 26 = = 90 , =.2 =,2 = = 2 27 ( = 90), ; . , == = .2 . 28 , . , , // . 81: 82. 29 . , , , . , , AB = // (1)2 AB = //(2)2 (1) (2) = // . 30 . , = . B , =(1) 2 B , =(2)2 (1) (2) = M 31 ( A = 90) B = 30 . , , = B A = 90 B = 30 = 2 E B , =2 = 32 , . = , = . 22 = = = (1) 33 11 = = = (2) 1 2 33 (3) 1 2 (1), (2), (3) . = . = = 82: 83. 33 ( A = 90). . , . . , , . , . 34 ( A = 90) = 30 , . = .. . = // = //2 / (1) = 30 = = (2)2 (1) (2) . 35 ( A = 90) .i) , , = = 90. ii) , =.4 i) =(1) 2 =(2) 2 (1) (2) . = . ( ) = = 90 ii) = 2 = 2 = 483: 84. 36 . , = . 4 . , , , = = = 2 24 37 ( A = 90) . . = - (1) 1 . = = ,2 = (2) 1 1 = (3) ( )(2),(3)(1) . 38 , , , . =// / E // , // 39 , , , . 84: 85. /. B A .B, 11 = = (1) 231 1 = = (2)2 311(1) + (2) + = ( +) = (3)332 2 11 = = =(4)3 3 2 31 = (5)3(3), (4), (5) = = 40 , . E, =. 2 //. = = , = , = 41 = . , i) BZ = Z,ii) = 2 , / i) = // /. , BZ = Z.ii) O ., 21 1 = = = (1) 33 3 85: 86. 1 11 = = = ( = )3 66 4 2 = + = + = = (2)2 663 (1) (2) =2 42 = 30 . i) = ,ii) M =. 3 i) , = 30 == 2 . . = . = = ii) , = 30 1(i)1 = = . 2 21 (i)1 = = 33 43 , . , , . , . , 2 1 H1 + K 1 = 90 K211 . AB = = H1 = B 2 (1)2B . = = K 1 = K 2 = B1 (2) 2 (1) + (2) H1 + K 1 = B 2 + B1 = 90 . 44 B . , . 86: 87. 1 1 1 ( 1 . ) A 1 = 1 - 1(1) = 1 1 . 1 . 1 = B 1 (1) = - 1 45 ( A = 90) . = 15, = .4( : ) . == = . 2 =1 1 1 1 = 1 + ( . ) 1 = + = 2 , . = 15 1 = 30 = = 2 = 224 46 , , . // . /, =//. . =(1)2 , . =// (2) 2(1) (2) =//.87: 88. 47 2 900 . = . . . . = 1 1 = + ( ) 1 = 2 2 = 2 = 32 = 1 = 2 = 1 2 = . = (1) . , 1 . , 3 2 . = . = (2) 1 3 (1) , (2) = . 48 < , . , :i) || ii) EM =2 . ., = , . i), = 2ii) ===22 2 49 , . = . , .88: 89. , . , . . , . , . - , . 50 B , i) ii) .i) . , . ii) , , . , , . , , , || , || , . 51 ( A = 90), . , , i) = ii) AM EZiii) , . 89: 90. i) , .ii) , . , 1 + 1 = 90 1 12 AM == M 12 . 1 = . (1) . = . 1 = 1 . 1 = B ( ). 1 = B (2) (1) + (2) + = + B + = 90 1 111iii) , .. || , /., , || , = . . = 1 = ( (1)) = 2 (- ). . = . 52 (//) . , , , , , , . K || ( ) || ( ) || , . 53 ( = ), . || ( ), . . = . . 90: 91. 54 ( ) . , , , , , , , . A B , = = 22 . 55 . , , . , . . = = = 2 . 56 (//) < . = =. 2 . = . = B A = + + = + = 2 = =.2 57 . , =. 2 91: 92. // , . , =. 2 58 (//) B . BH = 90. . ., , . 59 ( = ) . , = . . = (1)M , . = (2). (1) (2) = . 60 = 90 = 120. = 2 = , , . = 12 . . 92: 93. = = 2 1 = 30. . = .22 5 = + = 2 + = . 22 5 9 2 = = 2 2 9 . 222 4 61 , . , = 90. . = 2 2 , . 62 ( || ) , . . // M1 = = . = = 1 , . 63 . , , , , . || || / . (1) / = = = 2 = (2) (1), (2) .93: 94. 64 , . = , = 2 , . (1) = 2 2 2 = (2) 2 2 2 = (3)2 2 2 (1), (2), (3) = = . 65 (//) = 3 , . . ; 3 2 = 2 22 . , , = , = , . 663. (//) = . , , , 2 , . , = .3 = , = 2 3 4 2 2 = 2 222 //, 94: 95. / //, //, /, = = = . 67 , , , , , + + + = 4. A + = 2K + = 2 + + + = 4. 68 ( || ) = + . . , .2 1 = 2 21 . 1 = 1 || 2 = 1 1 = 2 . . 69 = = 90 = 2. , = 3 . , 1 .3 2 , 1 , M1 = M 2 . (1) 1 = 2 = M = 31 95: 96. M 2 = 1 , M 2 = M 3 (2) // M = (3) 11 (1), (2), (3) = 3 . 70 . , , , - = ( > ). / . K =2 A . = 2 - = 71 ( || ) < , . i) = , 3 = ii) , = . 4i) .. 1 = 2 1 2 1 = 2 ii) || , = = 24 / = 3 = = = . 44 96: 97. 72 < , , =. 2 , . : i) = 2ii) . i). , , . K , = . = , , = = = - =2 2 2ii). || ( ), , = = . 2 = = = ( + ) = = 22 = 2 2 = , i), .2 73 = 2, > 60 ( ). , , :i) ,ii) ,iii) , iv) = 3 . 97: 98. i). = || /32 E = 1 2 1ii). 3 + 2 = 1 = (-), 1 1 3 + 2 = 1 , . = . == 2 = = . 2 = .iii) || . === .22 iv) 2 + 1 = 3 1 , 1 = 1 , = 2 , = ( ),2 12 = 2 1 . = 3 + 2 + 1 3 + 2 = 1 , = 2 1 . 74 . , , , , , , + + = 3. , , , . K =(1) 2 =(2)2 =(3) 2 , (1), (2), (3)98: 99. (1),(3) (2) 2= + 2 = +22 4 = + + + 3 = + + . 75 ( = ) . . , : i) // ii) , . i). , , //. ii). ii), , . , , . , , : || ( ) ( ).99: 100. 1) .(5 )) (6 )) :) ) ) ) (2 / )) : i) / ii) =90 =30 . iii) (2 / ) 2 , . , . :) = (10 )) , , .(15 ) 3 = < , , . , . . : ) E1 = Z 1(12 ) ) (13 )100: 101. 4 = , . :) (15 )) .(10 ) !101: 102. 1) 109 ) 101 .) ) , 108 ) , 80 ) , 112 ) , 101) i) ii) iii) 2) , :- A NB =90 0 (1) ( ) - - = (2) ( )) ==/2 (2)==/2=/2 (3) 102: 103. , ( ) =/2 (3) NB =900 (4) A NB + NB =180 A N =180 ,, .// 3) : ( ) ( ) =///2 (1) = =/2 (2) : ( ) ( ) =///2 (3) (2) = E1 = Z 1) (1) // // E1 = H 1 (4) ( ) (3) // // 1 = Z 1 (5) ( ) () ,(4) (5) : 1 = Z 1 = E1 = H 1 1 = H 1 .// 103: 104. 4) ( ) // // (1) : ( )// ( (1) ) (2) : ( (2) ) ( ) =///2 (3) = =/2 (4) , ( ) =/2 A N 90 0 (5)) , : : // ( // ) (6) MK N MK (7) (6) (7) = .// 104: