, ( 35 6, 6 1, 25 8, 12 5, 8 3, 4 1, 3 1,.) 2 1 : (, 2 1 ( :?" 2 1 ". 2 1,.) 2 1, 2 1 :"?" 2 1

1?" ( 2). 2 1. 2 1 1 :"?" 2 2 1 1,,, 2 2 2 1 : +?( 3 6

1 1 1 2 2 4 + + + Λ 2 2 5 5 9 9 1 1? : +?, 3 4 1 1,?? 3 4 y 1. : = K( ) ( ) x y = K( ) ( ) x

240 480 = 60 x = 50 6 2 x x 500 = x( 15 3) = 1215 20+ 18 20

255 348 1570 4296

1 10.?", 330 7 10, 330 ( 1+ 1 ),, 7, 330 10 ( 1 + 1 ). 7

( 330 + 10) ( 1+ 1 ) 7 = 3401 1 7 1 297. 5 10 7 1 A + B = 50Λ Λ ( 1) 2 2 A + B = 50Λ Λ ( 2) 3 2 A + B = 50Λ Λ ( 2) 3 1 1 A = 50 3 A = 501 1 3 A = 37 1 = 37. 5 2

2 3 5 6 7 11 1 1 1 3 4 7 5 1 7 8 7 9 2 5 7 :. 3 6 11 3 4 1 : 8 7. 1 1 7 1 7 5 9

5 3 2 1 1 5 1 1 2 + 7 3 7 3 9 ( 4 1 3 3 ) ( 4 2 1 ) 2 10 3

( 1) 3 4 5 2 7 7 7 8 8 = 3 4 5 2 7 25 = 10 7 = 35 5 7 ( ) ( 2) 2 3 + ( 06. + 4 1 3 3 ) 5 2 4 = 2 3 + ( 0. 6 + 12) 5 = 2 3 +. 5 12 6 = 15, 2 ( ) ( 1)[ 30. 7 ( 4 1 4 + 16)] ( 147. 1 47 ) 2 5 100

1. 3 1, " ". 3 1 6, 19 9 20, 9 3 1 3,. 3 40, 4 2 4 5. 5, A B 2 2.? 36 ( 72 27 + ) 3 3 1 232 2 = 14. 5 3 + 3 + 2

320 120 120 = 1203 ; =,, x 3, 2. 3 1 2 :,.", 3 3 1 1 4 + 7 11 : + = =,, :", ". 4 7 47 28 1 1 3 2 3 2 5 + = + = + = 2 3 23 23 23 6 1 1 5 3 5 3 8 + = + = + = 3 5 35 35 35 15, 1. 2 46. 8 27. 6 0. 69 0. 035 0. 7, " ", 12. 46. 8 12 468.

6 6 1 6, 2,, 2, 6 7 7 7 7 1 3 3, 6 2,. 2, 7 7 7 3 3 1 3 1? 2,, 7 7 2 7 2 3 3 1 3, 2 = =. 7 7 2 14 1 1?",, :" 2 3 1,, 3, 3

1 2,,,,

1 1 : +, :, 10, 10 8 1 1 8,? + 10 8 1 1 " 1" " ", 1 ( + );,, 10 8 1 1 1 1 1 1 ( + ) 2,, :[ 1 ( + ) 2], 10 8 10 8 8 1 1 1 ( 1 2) ( + ),, 10 10 8

2 9 4 1 1 2 4

1 :, 3. 3 1 : 3,?? 3 1 :,,. 3 sh ( : =, V = ) 3 3 1 : sh?? 3 1 : sh,. 3 1 :? 3 1 1 :,. 3 3

9, :"9% 100 9, :",, 100

4 11 2 9 7 9 2 9,,.( ),,( ).

( 1) 2 4 2 4 1. 251. 2 = ( 12. ) ( 1. 25) 3 5 3 5 6 3 3 6 3 2 6 3 3 2 + = ( + ) 4 5 4 5 4 5 5 1 15. + 7. 225% + 2. 30. 25 = 0. 25( 15. + 7. 2 + 2. 3) 4

4. 26 3 + 3 1 4. 2 + 1 4 10 = 4. 2( 6 3 + 3 1 ) 4 4 5 4 4 + 1 4 10 = 4. 210 + 1 4 10 = ( 4. 2 + 1 4 ) 10 5 5 5 6 4. 5 9 6 15 75 = 75, 4. 555. + 911 = + 15 5. 5 11

5 ( 3). : 36 27,( ),,( ), 9 36 27 5 9 42 42 4 7 42 42 4 + + 7 5. 281 1 3 2. 5 4 1 + 3 1 2 4,. 6 4 5

5 5,. :( 70 25). 7 7 ( 2) : 3 5 ( 1 5 4 + ) = 3 5 ( ) ( )( ) 14 14 9 14 7 11 = ( ) ( )( ) 24 24 ( 3). 5 1 ( )( ) 3 1 4 = 5 1 7 3 2 + ( ) ( 4). 4. 8 0. 9( 2. 418. ) = ( ),,

. 2 1," 10 2 1 1 2 1 + 10 5 5 ",, "( 2 1 )", 10 2 1 10, 2 1. 10 2 1 1 2 1 0 1 2 1 + = + 10 5 5 5 5. 5 3 20 4 3 5 20 20,. 19 15 2 + 34 ( 20 ) 34, 4 17 17

( 6 2) + 6 63 + ( 1 3) = 11 ( ) 2 2 6( 1+ 3) 21 = 11( ) 2 2

5 5 32 + ( 3 + 3) 3 2 = 9 ( ) 2 2

( 1+ 6) 6, 7, = 42( ), 10 2 ( 1+ 9), 9 2 = 90( ), 90 42 = 48( ). 2

3( 1+ 16. ) 31, = 2. 4( ); :, 2 2 4( 1+ 16. ) 416. BCD BCD, = 2( 2 2

AD EO =. AD = 3, BC = 4, FO = BC FO

2, 0, 2. 5, 8, 9, 11, 3 24 37 1 4,,,

, 70. 1 1, 3 70( 1+ 1 1 ) = 30( ) ( ) 3 301 1 = 40( ) ( ) 3 11 1 = 34 3 11 1 = 34 3 3 70 30 3 + 4 = ( ) ( ) 4 70 40 3 + 4 = ( ) ( )

: x, 1 1 x. 3 x + 1 1 x = 70 3 2 1 x = 70 3 1 1 x = 40( ) ( ) 3 3 3 + 4 = x 70

2 9,. ( 0. 75 + + 0. 25) ( 0. 45 ) 3 20

( 5 3 + 6 2 ) 12 4 3 = 5 3 12 + 6 2 12 4 3 3 2 = 512 + 12 + 612 + 12 4 3 1,. 0. 91 3 + 2. 09, 3 1.,, " 3" " ", 3 1 1 0. 91+ 2. 09,. 3 3 3 4 37 + 47 = + = 1 7 7 24 3 20 = ( 25 1 ) 20 4 4 1 = 2520 20 4

6 4 4 9 = 69 + 9 = 54 + 1 1 = 55 1 27 27 3 3 28 21 28 21 = ( 45) ( 45) = 2821 = 1 1 45 45 45 45 3 28 21 28 = = 2821 = = 1 1 4545 21 3 1 3. 43 + 5. 6 3 2 3 2 3 5 3 1 : = + 5 5 3 17 1 28 1 = + 5 3 5 3 17 28 45 = + = = 3 15 15 15 1 3 34 3 56 1 : =. +. 3 1 1 = ( 34. + 56. ) = 9= 3 3 3 ( 3 1 2 0. 3) (. ). 2 0 6 2 2 3 + 5

2. 5 8 05. 4 3 025. 4 = 25. 05. 8 ( 4 3 + 0. 25) = Λ Λ 4 = 25. 4 ( 2 05. ) ( 4 3 + 0. 25) = Λ Λ 4 ( 085. 17 1 ) ( 02. + + 08. ) 20 3 085. 17 = 0 = 0 20 7 1 + 7. 5 + 30 4 98 2 1 125125. 36. 4 36. 2 2 = 125125. 36. 4 36. 1 2 59 25 3 1 4. (. + ) 4 4 5

1 1 2 + = 2 2 2 1 2 3 2 + = = 3 3 3 2 1 2 3 6 1 1 3 + + = = = 4 4 4 4 2 2 1 2 3 4 10 4 + + + = = 2 = 5 5 5 5 5 2 1 2 3 4 5 15 2 1 5 + + + + = = = 6 6 6 6 6 6 2 2 1 2 3 4 5 6 21 6 + + + + + = = 3 = 7 7 7 7 7 7 7 2 Λ 1 2 98 99 49 1 99 + + Λ Λ + + = = 100 100 100 100 2 2. 49 1 99 =. 2 2 8 16 x = ",. : 9 27 8 16 x = 9 27 16 8 x = 27 9 168 x = 279 2 x = 3 8 16? :" x =, 9 27 16 8 2 2 8 x =., 16 8 = 2, 279 = 3, x =. 27 9 3 3 9 16,." 27

3 5 3 5 05. 4 6 7 9 4 7 5 4 3 15 16 13 15 16 3 5 3 1 5 1 1 1 3 5, Θ 1, 1, >, <. 4 6 4 4 6 6 4 6 4 6 3 5 1 3 1 5 1 3 5 05., Θ 05. =, <, >, <. 7 9 2 7 2 9 2 7 9 4 7 4 47 28 7 74 28 28 28 4 7, Θ = =, = =, <, <. 15 16 15 157 105 16 164 64 105 64 15 16 5 4 3 4 4 5 4 5 4 3 3 4 3, Θ >, >, >, Θ >, >, 13 15 16 13 15 13 13 13 15 15 16 15 15 4 3 5 4 4 3 5 4 3 >, Θ >, >, > > 15 16 13 15 15 16 13 15 16 7 11 4 19 7 11 1 + = + 5 = 12 10 = 12 1 20 20 20 20 20 2 7 1 3 5 7 1 1 4 3 1 1 = + = + = 3 1 6 6 6 6 6 6 3 14 2 4 = ( 15 1 ) 4 = 60 1 1 = 58 2 3 3 3 3 5 1 4 1 3 4 10 10 7 2 5 2 14 5 10 1 3 3 1 ( ) [ ( )] = ( ) = = 2 14 14

8 15 2 5 9 14 3 7 10 27 2 9

1 1 14 13 4 3 7 + = + = + = 3 4 34 43 12 12 12 1 5 1 8 Λ 1 17 15 7 5 + = + = + = 7 57 75 35 35 1 19 18 9 8 + = + = + = 9 89 98 72 72 12 35 17 72 1 1 1 1 1 1 = Λ = Λ = Λ 3 4 5 7 8 9 1 1 b a ± = ±. a b ab

2 3 2 25 23 + = + = 5 35 53 ( 3 + 5) 2 16 = = 1 1 15 15 15 2 2 25 23 ( 5 3) 2 4 = = = 3 5 35 53 15 15 Λ m m ( b ± a) m ± = a b ab

1, 2520,,? 6 1, " " 6 1 1," ", " 2520 ", " 2520 6 6 1 1 ". " ", 2520 6 6 1. 2520., 6

5 2.,, 105, 8 2 3,?

2 ( 1) : 105 ( 1 5 2 ), 105 [ ( 1 3 8 3 5 )] = 360( ) 8 5 ( 2) : 105 ( 1 2 5 ), 105 [ ( 1 8 3 8 2 )] = 360( ) 3 ( 3) : 105 [ 1 ( 1 2 ) ( 1 5 )], 105 3 8 [ 1 ( 1 2 ) ( 1 5 )] = 360( ) 3 8 2 5 2 5 ( 4) : 105, ( + 3 8 3 8 1 ), 2 5 105( + ) 1 = 360( ) 3 8 4 2 2. 243, 9 5 4 4 4 : 243 9 9 9 = 2 4 2 2, ( ) =, 4 5 9 5 45 2. 45 4 243 9 104 4 2 :( ) ( ) = 90( )( ) 9 5

1. 560, 4 1.? 3 1 1 1 :. = 4 3 4 1 1 1 = = 4 3 3 3 4 4 3,. 7 7 4 3 : 560 = 320( ) : 560 = 240( ). 7 7 1,? 19 1 : : 54 ( 1 ) = 57( ), 57 54 = 3( ), 3 ( 57 + 3) 19 = 5%. 1," ", 10

4 3.,,, ( 1),( ) 7 7 2 1,( ),( ) 7 3 1 7 4 1 1 3 5 3 4 6 1,( ),( ),( 3 7 ) 1,( 4 8 ) 7, 4, 3,( 9 ) 1 1, 420,, 4 3

4, 45,, 5 4 4, 4 5. 45 20( 5 4 + 5 = 5 ), : 45 25( ) 4 + 5 = 4 " 1", 1., : 45 5 4 1 ( ), : ( ) 1 4 = 25 45 5 1 4 = 20 + + 5 5 5 " 1", 1,, : 4 5 1 45 ( ), : ( ) 1 5 = 20 45 4 1 5 = 25 + + 4 4

4 4 " 1",. : 45 ( 1+ ) = 25( 5 5 4 ), : 25 = 20( ) 5 5 " 1",, : 45 ( 1+ 5 ) = 4 4 5 20( ), : 20 = 25( ) 4 4 20 4 + 5 = x x 45 = 4 x = x = 20 5 45 x 4 20= 25( ) 5 4 : x, x 5 4 x x 45 4 4 + = x = 25= 20 5 5 5

2. :" 50,,?" " 5 2,, 30,?",, 5

,. 50 ( 1 2 ), 5 30( 1 2 ). x, x( 1 2 ) = 30., 5 5., 30 ( 1 2 ). 5 = 2

2r 1 S = r 2 16 = r 16 2 16,,. 2 2r 16 S = r = 2 r 16 2 16 3,. 2r 2r 1 16 S = ( + 2) r = 2 r 16 16 2 3 16,,. 4 2r 1 16 2 S = 2 2r = r 16 2 4

1 48 6 = 6 1 3. 6 6 3. 6 = 6

3. 2 4, 6,? 5 2 4 6 2 4 1 = 5 5 6 1,,?, 6 1 1= 6 6

43 63 21 43

1, 71, : 16

3,, 30, 4 2.? 3 3 1 :, 30, : 4 3 3 30[ ( 1 2 )] = 72( ) 4 3 2 1 :, 30. : 3 4 2 30[ ( 1 3 )] = 72( ) 3 4 1 1 :, 30 " 1", 3 4 : 30[ 1 ( 1 2 ) ( 1 1 )] = 72( ) 3 4 3 2 :, 30, : 4 3 3 2 30( ) ( ) 4 + 3 1 = 72

5 23 2 B:,,? 7 35 3 2. 15 = ( 2 1 )., 4 x = 0. 8 3x 1 3 = 0. 8 ( ) 5

1 1.? ( ) 5 A. 135( 135 9 1 1 ) 5 B. 91 1 5,, 1 1, 5 1 1.. 5

7. [( 185. 1175. ) 2. 4 + ] 6 9, 12 16

2., 11 4,. :, 5 1 1,? " " 4 4