05. = 8 0. = 5 05. = = 0.4 = 0. = 0.75 6. 5 = 6 5 0 4 4-6 4 8. 4 5 5 + 0.9 4 = 84 5 9-6 + 0 0 4 5 4 0 = 0-5 + = + 0-4 0 = 0-4 0 = 7 0.5 [ 9 6 0.7-0.66 ] 4.9 = 9 9 7 49 [ ] 0 50 0 9 49 = [ ] 9 5 0 = 49 = 49 [ ] 7 5 0 7 5 0 = 500.9 + 7 + 6.09 + 6 4 -.5 + -.5 6. 04 7 8

.9 6.09 = 0 = 0.5 8 = = =.9 6.09 6 4.5.5 7 7-6.04 4 [000 0.675 - + 7 ] 6.5 8 4 9 [000 0.675-9 5 ] 6.5 8 4 9 5 = 675-5 6.5 4 = 00 + 5 4 = 48 = 49 4 5 5. - 75 + 56 + 5 8.7 4 56 4 5 =. - 0.75 56 + 0.5 8.7 4 6 x 4 5-5 x.4 0.8 4 5 5

4 5 4 6.- 50.5 50.5 5.45 50.5 5.45 5 4 4 = 6.- 50.5 5.45 50.5 + 5.45 5 5 4 = 6. - 50.5 5.45 + 4 5 5.5 + 8 0.4 5 5

+ 5-5 7 9 8 4 [ + ] % -.4 6 0.6 4 5 4 [ 5 7-7 9.9-0.5 6 5 6.5 -.75 75% 8 4 4.9 6.08 4 5 0.5 7 7 8 -.65- - 8 8 4 4 + 6. - 5.8-9 9 5 9 9 5 9 0 x + x -5 =.4 5 + 8 x - 4 x.9 =.4 0.5 0.5x 4 48 5 56

7 = 7 5 = 5 5 7 + + 5 + 7 5 5 7 8 + 5 7 + 5 + 8 a = a c b b 0 c b c 8 5 + 0 7 5 5 6 = = + + 4 6 8 8 = = 65 = 65 65 6 = = = 7 9 65 5 5

8 = + 0 7 + = 5 0 = 8 5 0 = 6 5 8 = + 0 65 = 5 = 7 5 + + + 996 = = + + + + 996 997 997 996 = = = + + + 997 99 997 997 + 996 99 99 997 99 99 = = 99 + 997 5990 0. 54 4 5 0 0 5 % 4 5 5 5 0. 5 4

4. 4. 054.. 44 54.. 54.. 4. 04. 54 4 4 = = 05. 05. = 05. = = 05. 05. 8 6 5 5 59 4 0 7 5 6 9 64 5 7 64 5 7 59 59 = 0 5 0 5 = 6 6 5 9 5 9 64 5 7 59 5 9 = 0 5 6 = 88 7 59 8 = 4 5 59 = 48 5 5 = 9 5 7 4 + 5 8 6 7 5 8 4 6 7 9 7 + + = 8 6 = 4 6 40 5 6 8 40 8 4 5

7 + = 4 40 8 = = 6 6 8 + = 60 44 {[ 7 0. 75 ] 75% 4 5 + + } 6 0 0 5 7 5 4 + 6 7 5 5 8 75 7 00 4 5 [ + ] = 0 00 0 75 5 7 + 5 7 5 5 7 4 4 5 [ + + ] = 0 4 0 5 7 5 + 5 5 7 4 5 + = 5 5 5 7 + 5 + = 5 4 5 5 7 4 5 = 7 = 4 5 7 + + + + 4 4 5 5 6 n + n = = = = n n + n n + n n + 5 6 5 6

= + + 4 + 4 5 + 5 6 = = 6 = = 5 5 5 6 6 + + + + + 5 5 9 9 7 7 5 5 = 4 9-5 = 4 5- = 4 - = 5 5 5 4 = 4 ( 5 - )Λ Λ = 9 4 ( - 5 ) 5 5 9 5 = 4 5 + 5 9 + 9 + 7 + 7 + 5 = = = = 50 4 6 4 5 4 5 n + k n k = = = [ n n + k n n + k n n + k k n ( n + k) ] 5 5 5 8 8 9 + + + + 4 4 7 8 = 5 5 5

= + 5 + 9 + + 5 + 5 8 + 8 + 4 + 4 7 = 8 + + + + + 5 5 8 8 4 4 7 = = = 5 5 8 + 8 + 8 + 7 4 4 4 = 8 4 + 5 = 4 957 + + + 4 + 5 5 + + 4 5 5 8 4 4. +. 5 05 05 9 5. +. + + + 4 7 7 7 + 6 7 0 5 4 4 4 8. 4 5 5. 05. 4

5 + 5 6 4 9 6 5 5 [.. + ] 4 6 0. 75 4 7 5. +. 5 0 0 4 5 5 5 5 + + + + 4. 7 6 7 6 0 0 8 6 8 6 8 7 + + + 5. + 4 + 4 9 9 4 5 4 4 6 6 8 8 0 + + + + + 0 98 00 6 6 5 7 6 6 9 + + + + 6

.7 = {.7} = 0.7 = = 0 = 7 4 [ n m ] n p m p m m m n n n m + m + n p p+ p m n m m

[. ] 0 6 5 [.] = = [.] = 0 6 = 5 = 0 6 = 5 = 0 + + + 0 0 0 + = + { } { } 0 = { } { } 0 0 0 0 0 0 + = 0 + = - =

4 5 996 5 5 996 996 996 996 5 + 5 5 + 5 + 5 4 n 4 99 00 = m 00 00 00 00 00 00 + + + 4 + 5 + 6 00 00 00 00 + + + 4 00 = 97 48 P = 48 p S S S' 4 S' = 9-4 S' = 9-9 4 4 9 S 4S' 4 4 07. = = S 4S" 9 9. 9 4

S S = 0 x = 7 [x] [x] = x = 7 7 x = 0 9 x 00 = 5 4 6 n [ x] + x + x r nx n + + n + + n + [ ] n [ x] + x + x x n + + n + + + n n [[ x] + r] + [ x] + r + [ x] r n + + + + n n [ r] + r + r r [ ] n + + n + + + n = nr n 0 r 0 n 0 r + n - n 0 r + n - 0 nr = 0 = 0 n

r + n - R n r + R - n n V + R n [r] + r + = 0 n + R r n R R n r + r r n + + n + n n - R. y = 5 x x 0 y x 5 n. n 4

= 0.5 = 0.5 5 0 = 5 0 5 = 0.5 5 40 = 5 40 = 0. 6 9 4 = 0. 5 574 8 6 7 9 7 5 = 0. 4 5 9 6 = 0. 6 6 = = 0.0 0 = 5 0

5 = 0.08 4 = 4 = 0.0 9047 6 05 = 5 7 05 7 9999 0. 0. 4 0. = x. = 000x 000x - x = - 0. 04 x = = 999 0. 4 = y. 4 = 00y 4. 4 = 0000y 9900y = 4. 4 -. 4 y = 9900 = 6 4950 0. 5 8 = 58 0. 4 5 = 4 999 9990 = 7 4995 067. 0 9 7 = 9900

0. 65 4 996 m 6 4 5 0 m 6 5 4 m 7 4 5 6 0 m 4 5 6 0 m 7 4 5 6 m 400 = 00 50 + 50 00 400 = 0.5

a 4 5 6 7 8 9 a 4 9 6 5 6 9 4 a 8 7 4 5 6 9 a 4 6 6 5 6 6 a 5 4 5 6 7 8 9 5 8 4 55 89 0 0 0 = 40 CD E

5 7 8 9 5 6 7 4 0 0 0 4 40 6 0. 5 8 8 0.0 6 5 00 84

4 4 4 + = 7 + = + = 4 - = 4 5 4 = 4 8 5 + = 4 8 5 4 7 + 4 8 + 4 = 7 = 8 8 8 5 8 = 40 5 - + 4 4-4 4 = 40 5

500 5 4 5 500 4 = 5 6 = 5 6 5 4 = = 6 4 = 5 5 500 l - 4 = 500 5 6 500 5 = 000 000 = 000 = = 6 5 5 = 4 5 4 500 = 7500 5 5

8 8 6 0 0 4 + 6 = 0 5-4 -6 = 5 90 0 90 = 45 4 = 60 45 90 60 + 6 = 4 45

4 4 4 5 5 6-4 = 40 = 5 5 8 = 0 5 5 8 5 0 5 6 x 5 8 6 = x = 0x = 70 0 8 5 5 5 7 0 9 0 5 8 7 5 0 9 = 5 0 = 5 0 9 8 A A 5 0 A 4 4 A A 0 5 5

A 4 4 4 5 4 - = - 4 5 6 = 5 6 0 - = 50 5 A 50 = 0 5 x - = x + 0-5 4 50 = 0 5 n n 4 7 4 7 4 a b a b a 5 b a b 5 5

5 4 7

4 + 80 = 0.4 600 + 400 4-5 x + 5 x = 6.4 600 x 4% + x 0% 400 x 0% + x 4% = 600 400

00 8% 0 % = 00 + x 0+ x

0 5 0 = 7.5 0 0 5 7. 5 4 =.5 0 x + y = 50 x 0% + y 0% = 50 % x + y = 50 x + y = 550 x = 00 y = 50 6 9 9 + 6 x + 9 + 7 - x = 7 50%

x% a = 0% ( a + b) ( ) 0% ( a + b) + b = 0% ( a + b) ( ) 5 a = b 5 x = 0 b + b b

6 0 6 9 + 6 = 7 4 4 7 = 8( ) 4 0 - - - 6 = 8 0 6 5 ( + ) 5 = 5 0 5 5 6 =.5 [ ( + ) 5] =. 5 0 5 5

[( ] 0 0 5 + 0 [ ] 5 = 0 = = 5( ) 4 0 5 0 + = 4 0 5 6 4 = 0 5 5 ( ) = =. 6( ) 5 6 5 6 0 5 0 5 8 5 5 8

( 5) ( + ) 0 0 5 8 = 9 = 45. ( ) 6 ( ) 80 = 6( ) 5 0 8 = = 5 5 5 5 5 5 = 5 [( 8) 5] 0 = [( ) 5] 5 = [ 5] 5 = = 5( ) 5 9 ( + ) 6 = 0 5 0 0 = 0 0 0

6 [ ( + ) 6] 5 0 = 6 4 4 6 7? 0 y x + = ( ) x 4y 4 7 + ( + ) 6 = ( ) x x y 0 x = y x = y 0 6 7 0 6 7 + = + = x y 0 x y 0 x = 7 6 7 x = 0 y y 5 5 ( ) = 0 = 7

6 5 ( ) 5 8 00 ( 8 ) 6 = 00 ( 5 ) = 00 = 0( ) 5 x x 00 + 600 = 4000 600 0 = 000( )

40 00 0 00 0 A 0 0 + x = x 0 00 5 5 5 5 x 0 + x 0 = x 0 + x 0 5 5 5 5 60 4 5 5 6 5 6

4 x / 0 + x / 40 = y ( ) 5 5 ( y ) 0 + 5 ( y ) 40 = x ( ) 6 6 y = x 5 x + 60 6 x + x + x = 0

0 x 40 6 x = y 5 5 y = 50

98 00 9 9 97 00 96 90 95 94 0 = 0 ( + 5 + + 5 + 5 + 0 ) + 5 95 95 = 95.5 0 t = 4.65 70 5 + + Λ + 00 0 09

0 + + Λ + + + Λ + = = 00 0 09 00 00 00 00 0 0 + + Λ + + + Λ + = 00 0 09 09 09 09 09 9x = 8 x = 8 9 = 4. 5 [ ] = 9 = 7 n(n + ) x = + + + + n = n( n + ) n( n + ) + 995 + n

n( n + ) n = 60 + n = 950 995 n( n + ) n = 6 + n = 0 995 n( n + ) = = 89 995 n( n + ) n = 6 + = 077 995 6( 6 + ) x = = 89 995-89 = 04 48 48 x 5 4 48 48 y 4 + + + Λ Λ + 90 9 9 99

* a b a * b = a + b a b = a + b a = b = = + = 995 + 997 995 997 = = 996 99 + 995 99 995 = = 994

998+ 994 998 994 = = 996 a b = a + b b a = b + a = a + b 4 5 x = 5 + x = 7.5

a b a b = ab a + b a b c = ab c a + b ab a b c abc + = a + b ab ab ac bc c a + b + + + a + b abc = ab + bc + ac a b c = a bc b + c bc abc a = b + c = b + c bc abc a + b + c ab + ac + bc abc = ab + bc + ac 4 a b = [a b] + a b [a b] a b 6 9 8 6 9 = + = 9 c a c b c a b c a c a b 6 x = x

= = + = 4 9 = 6 + = 40 c a b c a b c [a b] + a b

= A ( ) 997 996 = A 997 A 996 = 996 997 a a a n = [a n - ] a n

a b = a b a A 7 = 6 4 b a a b = ab a + b 4

EF FD π 8 π 8 8 8 π 8 8

00 600 [ ] = 4

4

955 9

4-4- A B C D

4- A B C D E F

C= a+b S=ab C=4a S=a

4 = = 48 cm 4 8cm 4 8 cm 4 8 4 4 cm = 8 4 8 4 8 4 4 4

V x = = V x 7 7

= AB BC = 0 BC = 0-7 = 57-7

AE = AF = = 0 EAF = 0 = 0-50 =.4 0-50 = 07 5 6-0 0 e = 0 cm d a b c d e = + + + + = a b c d e 0 = = 0 cm

a b = 5 c = 4 a + b = 4 c 5 5 a + 5 b = c 4 4 a + b = c 5 5 4 a + b = a + b 5 4 5 a = b a = b

n R n R 80 n R 60 60 R 60 n n 60 Rn R n 80 60 nr n l S 60 Rn R n l = S = 80 60 S = Rl

R n Rn S = l = 60 80.4 45 + 5+ = 60 4. 45 + 5 4. 45 + 60 60 4. 45( 0 8 + ) = = 7. 665 60.4 45 4. 45 ( + 5) = + + 80 80 ( ) 5 =.4 45 + 8 + 0 80 = 8.65 R n S = 60 4. 0 0 = 040-6 60

= S -S AOB AOB 0 = 7 4. 0 0 60 = 09-85 = 4 CHO DHO HK = KO = 5.4 5 90 5 AmB = 5 60.4 5 0 6 CmD = 75. 60

0 = =.4 60 = = 56.5 S = + + + + 9 4 5 = + + 4 = 5 + + = 5 5 9 4 = 4 + S = -S = 5-5 00 5 49 = = 4 4 4

S S 49 = 4 5 = 4 49 5 40 40 = 0 4 S = 0 = 00 R = 40 0 0 400 400 = S = R = = = 4. 7

8 r r V V 9 V = r h rh = r h 8 V = rh = r h 8 9 V / V = r h / r h = 9 8 8

00 h = 900 0 0 = 000

5 0 = 8750 5 50 = 50

4 0 08 + 4 = 7. 7

a b = a b b 0 a b = c bd ad = bc d y y x = K x = = =

9 = 0 = 9 0 = 9 9 + 6 + 8 6 = 0 = 6 0 = 60 9 + 6 + 8 = 8 0 = 80 00 + = 40 00 + = 60

A = 00 = 6 + + 8 + 7

.5 5

6 8 =.4 6 + 9 + 5 9 68 =.6 6 + 9 + 5 5 4 8 =.0 6 + 9 + 5 4 5 6 4 + 6 + 5 4 = 40 6

40 8 8 40 = 0.6 4 0.6 = 0.8 5 0.6 6 = 0.5 75 = = 4 5 8

S a ha ABC S BC AE ABC AE = = S DE ABC BC DE S AB PQ PAB AB S = CD DBC CD PQ

S S AOB BOC AO S AOD = = CO S S S AOB = S S BOC COD AOD COD AO CO S AO S AOB AOD AO = = S CO S CO BOC S S S AOD AOB BOC = S = S S AOB COD AOD COD S S BOC COD S AOD = = = + + + - 6.9

S S ABD ADC BD S ACE AE = = = = DC S ED CED S S ACE ABC = S BD BD S ABD ACE AE ED = = = = = = S DC BD S ED ED ADC CED S ADC = S ABD + S ADC = S ABC S = S + S = S ACE ACE CED ADC 4 4 S = S = S = cm ACE ABC ABC 4 S PAB PM = S QM QAB

PD AD + PE BE + PF CF S PBC PD DC = S AD S PE S PAC PAB = = S BE S BAC CAB PD CF ABC PD S PE S PBC PAC PE = = = S PAB AD S BE S CF S ABC BAC PD PE PF S + S + S + + = AD BE CF S S ABC = = S ABC PBC PAC PAB ABC CAB PD PE AD + PF BE + CF = AF BD CE 4 BF CD AE AE S BD S CE S PAC PAB PBC = = = BF S CD S AE S PBC PAC PAB

AE BF BD CD AF BF CE AE BD CD S S S PAC PAB PBC = = S S S CE AE PBC = PAC PAB

PE PF PD + BE CF PA AE CD BF CE BD AF

m m m m 4 8 4 0 8 4 60 0 0 0 0 8 0 0 0 0

4 5 x = + + 4 = 6 cm S = EFGH 68 = 4cm

= = 60 60

0 + 0 = 0 0 0 = 0 60 60 = = 9 5 60 7 = 8 5 60 4 = 9 5 60 7 8 7 9 7 + x x 60 [ 7 + x ] 5

x = ( 7 + x) 60 5 x = 7 7 60 7 = 8 4 + y y 60 [ 4 + y ] 5 y = ( 4 + y) 60 5 y = 4 4 60 4 60 = 9 8 60 5 x [ - x ] 60 5 x = ( x) 60 5

x = 60 60 = 9

4567890 00 00 4567890 8 785960 999997859606 9900 k a + b = K ab a = b 4

a = b = 5 = 7.5 a b 5 = 56.5

9 + 8 + 7 + 6 0 5 + + + 6 = =. 9 + 8 + 7 + 5 9 64 + + + 5 = =. 9 + 8 + 7 + 4 8 = =. 8 + + + 4 0 4567890 4950 80

4 5 6 7 8 9 9 8 7 6 5 4

n 4 5 6 7 n 7 5 6 7 n - n 4 5 n 8 6 80 4 n - = n n = n n

80 5y y = = 70 0 60 0 70 + 6 0 = 7

600 800 500 700 400 600 = 0.75 = 0.7 = 0.67

60 60 0 0 x y x y = = = =

7.5 7 0 4 5 6 54 8 [ 48 ( 48 + 48 70%)] 48 00% [ 48 ( = )] 46 00% 4 5 = 48 46 00% 0 5 0 = 5 56 + 5 56 - + - = 99 99 - + = 57 7 68 9 57 4 4 9 9 59 5 9 4 0 4 4 6 6 59

5 5 x [ ] = 0 y = 0 x 5 x x [ ] = 0 y = 0 5 x = 5 5 [ ] = [ x x 5 ] = y = n [ ] n 4 n 4k 4k + 4k + 4 [ ] [ ( ) n 4k + = ] = 4k + k = ( k + ) 4 4 [ ] [ ( ) n 4k + = ] = 4k + 4k + = ( k + ) 4 4 [ ] [ ( ) n 4k + = ] = 4k + 6k + = ( k + )( k + ) 4 4 n [ ] 4 = 6 x = x = x = 6 996 996 996 996 [ ] + [ ] + [ ] + [ ] 5 5 5 5 4

9 [ ] + [9 ] + [9 ] + [9 ] = 9 + 4 + + = 6 4 588 6 9999 9990 9 00 0% 00 5% = 00 + x 00 + x

- 5 + = 4 5 0 5 6 0 5 4 + - 4 = 8 4 4 + 0 + = 0 0 60 5 48-8 5 = - 48 48 84 = 48-4 = 56 84 9 x ( ) ( 5 9 5 x = x ) 99 8 9-8 + = 5 5 5 4 9 = 7 7 9

9 = 6 8 9 6 90 + 9 + 9 + Λ Λ + 99 = S + + + Λ Λ + 90 9 9 99 S + + Λ Λ + + + Λ Λ 90 90 90 99 99 99 7 80

5 a b = ab a + b = + a b a b c + + + c a b c + a b = + + + + 4 5 6 0 = 0 + 5 + + 0 + 60 =

4 995 9x 955 x x x 67 x = 67 9

S 0x 0 = = S 5x + 8x + 4x + 0x 7

4 95 7 75 6K 0K = 0 K K = 90 0 = 4 K 0.9

6 7 4 0 0 + 0 0 = 5000 5 + 0 + 0 + 5 0 = 660 5 0 + 0 4458

S S ABM BCM AM S AMN =, = CM S CMN 64 6 = 0 8 60 5 6 8 = 7 9 0 5 9 9 60 5 9 = 49 5 60 5 60 AM CM

9 = 49 5 60 7 x 60 5 5 ] x = ( 5 x) 60 5 x = 5 60 5 60 = 7 a 4 a h = a π a a a S = h S = 8 6 a a a S = π ( ) = π 4π 6 5 7 + 86 4 5 5 + 4 8 7

5 9 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

= 0 = 0. =. 0.8 = 0. = 0 7 = 0 4