a a b =, a b = a,, b b 2 2 2 πr 2r ( π 2) r π 2 2 = 2 = = 57%, :" " 2r 2r 2
A A x A A x + =
A A A x = A X A ( = A ) A A A A + A A = A 8 8 8 + = 8 8 8 8 8 8 + = 8 7 7 9 = 9 7 7
2 5 4-0 = 9-5 2, 2 2 5 5 4 0 + 9 5 2 = + 2 2 5 5 2 2 2 3 2 3 5 2 5 2 2 + 2 = + 2 2 2 2 5 2 3 5 2 2 = 2 5 2 = 3 5 2 2 5 2 2 2 5 5 2 3 2 = 2 5 5 2 = 3 = + 2 2 2 2 (n +) - (n +)(2n +) + 2 2 (2n +) 4 n 2 n( 2n + ) + ( n + ) 4 2 2 2 2 ( n + ) ( n + ) n ( n ) = + 2 2 2 2
2 2 ( n + ) ( n + ) n ( n ) = + 2 2 2 2 n + ( n + ) = n ( n ) 2 2 2 2 2 (2n + ) 2 ( n + ) ( n + ) 2 2 (n + ) - (2n + ) 0 2 ( n + ) ( n + ) ( n ) ( n ) = + + 2 2 2 2 2 n n + ( 2 2 ) 2 n - (2n + ) 0 2 n n + n n = + 2 2 ( ) ( 2 2 ) n +- (2n + ) = (2n +) - n 2 2 2 n + = 2 (2n +) + (2n +) - n 2
7 7 7 7 7 7 = 50( ) 2 7
2 2 = 2 2 2 2 =
a + b = c c
00
20 ( 5) 00
2 4 5 200( ) 2 20 5( ) 4 20 4( ) 5 = 0 5 4 2 4 5 0 9 0( ) 0 + 5 + 4 5 9 = 5( ) 0 + 5 + 4 4 9 4( ) 0 + 5 + 4 2 3 4
2 6( ) 2 2 4( ) 3 2 3( ) 4
4 3 2 4
2 4 200005000( ) 4 20000 [ ( 3 + 4 4 )] 5000 [- 7 2 ] 5 5000 2
5 3 2 3 5 2 2 2 ( 2 2 3 2 ) 2 (4 2 3 ) 2 6 6 4 2 6 2 25 60 60 2 2
2 2 = 2 3 2 2 3 3 = 2 3 6 = 3 = 8( ) 6
5 3.6 5+ 4 5 = 3.6 9 4 3.6 5 + 4 = 3.6 4 9 2 3.6 2 + 2 = 3.6 3 3.6 2 + 3.6 3
+ 2 + 3 = 5 6 ( ) (+ + ) 36 2 3 = 5 36 6 = 6 36 6 x 2 x 7 x 2 x
x + x + x + 5 + x + 4 = x 6 2 7 2 2 6 x + x + x + x + 9 = x 2 2 2 7 3 x + x + 9 = x 4 7 25 x + 9 = x 28 25 x x = 9 28 3 x = 9 28 84 = 4( ) 6 4 + 84 = 2( ) 2 84 = 2( ) 7 84 = 42( ) 2
2 3 2 3 V = 4 R = 2 3 3 3 V S = 4R = 2 2 3 S
3
C AC 8 6 ( 2) 3. B BP Q BQ 5
OA AO ) ) ) ) 3. BO CO DO ) OE ) ) CF DG( CF )
(4) 6 0
2 3. 6 33
0. = 0 0.0 = 0 00 = 0
3 3 8 8 4 4 3 8 8 = 3 = 6 4 4 3 3 8 = 8 = 6 4 4 3 3 8 8 4 4
3 3 4 + 3 3 4 + 3 3 4 + 3 3 4 + 3 8 4 + 4 + 4 + 4 = 4 = 6 3 8 8 3 / 4 4 3 8 8 4 3 8 4 3 3 8 8 4 4. 3 4 3 4 3 3 4 4 = 3 4 = 0.75 3 4 0.75
0.75 200 37.5 25 8 3 3 0.75 4 75% 75 3 = = 00 4 3 4 3 4 3 4 5 3 5 5 = 2 4 4 4 = 6 5 3 5 3 5 = 2 4 2 4 = 6 3 4
3 4 5 3 5 4 5 = = 2 4 2 3 9 3 4 5 3 5 4 3 4 = 2 4 2 3 4 3 5 4 = 2 3 5 4 = 2 3 5 3 5 4 2 4 2 3 3 4
3 3 3
32 8 324 = = 4 25 025. = = 000 8 8 8 8 0.25 = 8 25 625 = 5 = 5 ( 3 3 3 3 3 4 2 = = = = 2 22 4 22 4 22 3
0000 0000 0000 0 00 000 0000 0000 = 0000 0000 0000 0000 0000 0000 0000
0 0 0 0000 3 5 3 3 5 5 = 3 5 4 7 4 4 7 = 7 = 4 7 = 47 2 B A B 5
2 3
40 360 360 0 2 40 2 r = 3.4 2 360 9 = 3.444 = 50.24( ) 9
40 2 r 300 360 2 = 3.42 300 9 2 = 5072( )
(2x + 3) 4 2 8x +2 = 2
x = 98 x 98 99 + 99 = 99 99 98 98 99 + 99 98 = 9999 98 99 99 99 + 99 99 = 99 A A A + A A = A 5 5 5 + = 5 ( = 6 ) 5 5 4 2 2 2 + 2 3 2 = ( ) 2 8 8 8 + 8 82 8 = ( = ) 8 80 x = A +
A A A A A + = A + A A A A A + = A + 5 5 5 = 5 ( = 4 ) 5 + 5 + 6 2 2 2 2 2 + = ( = ) 2 + 3 86 86 86 86 85 86 + = ( = ) 86 + 87 A A - A + = A A A + = x = 9 9 20 + = 20 = 2 9 9 9 3x + 00-36 = 50 2
3x + 00 = 50 + 36 2
2 D = 3.4 00 = 57( ) 2 2 (D - 2) = 3.4 98 = 53.86( ) 2 (D - 4) = 3.496 = 50.72( ) 2 2 (D - 6) = 3.494 = 47.58( ) 2 2 (D - 8) = 3.492 = 44.44( ) 2 2
V = 3 r 2 h 2 0.73 [(5.73.42) 3.4 ] 3 2 = 0.73 [2.5 3.4 ] 3 = 0.73 [6.253.4 3 ] = 0.73 [9.625 ] 3
540 9 9 = 5 600 0 0 540 5 540 + 60 = 5 540 600 9 = 5 0 = 3 ( ) 2 3 2 20 2 30 20 2 = 4( ) 30
23 9 3 2 3 ( ) 46 6 7 2 3 ( ) 3 2 99 903450( ) 3 3 2 7 2 6( ) 3 3
57 [ ( )] 4 5 7 83 57 [ ] 40 57 57 40 40 57 57 3 488( ) 8 5 4830( ) 8 3 3 5 3 8 5 48 ( ) 48 48 5 5 8
5 x 5. 0. 20 x 8 204
576 46 44 47 576 88( ) 44 5 576 204( ) 44
3 2 3 4 5 6 3 2 3 4 5 = 2 3 4 5 6 3 2 3 4 5 6 = 2 3 4 5 3 = 3 = 6( ) 2 2 6 = 3 2 6 2 = 6 = 9( ) 3 3 9 = 3 3 3 9 = 9 = 2( ) 4 4 2 = 3 4
2 4 = 2 = 5( ) 5 5 5 = 3( ) 5 5 = 8( ) 6
2 3 4 = 2 2 = 24( ) 2 ( 4 ) + = 0Λ Λ Λ Λ Λ Λ Λ 2 0 + = 6( ) Λ Λ Λ Λ Λ Λ Λ 2
3 3 00 = 00 3 + 4 00 = 00 3 + 4
( + + ) 2 3 2 3 55 + + 2 3 = 55 5 6 = 30( ) x + x + x = 55 2 3 5 x = 55 6 x = 30( )
50 ( ) 50 70 70 ( + ) 50 70 5 5 3 3 5 5 2 + = 3 50 70 3 350 5 350 = = 48 ( ) 3 2 8 x x + 3 = 5 50 70 2 350 x = 5 3 x = 48 ( ) 8
n r 2 360 80 r 2 360
60 60 60 2 2 2 π + π + π 360 360 360 = π + π + π 6 6 6 = π + + 6 6 6 π = = 57. ( ) 2 2 π 80 360 = π 2 2 =.57( )
2 3 + 2 = 3 ( ), + 2 4 = 3 4 4 3 7 + 2 = 4 8 ( ) 2 2 + + 2 3 = 2 + 2 2 = 4 + 2 3 7 = 2 = ( ) 4 8 7 8
2 5 3 3 2 2 = 5 5 5 2 2 2 + 3 + 2 = 3 5 2 6 3+ 2 + 5 3 2 2 = + + = 35 6 23 6 = = ( ) 6 23 6 23
- (0 +5 ) = 305 5 = 35
2 4320 2 + + 3 + 2 = 4320 = 480( ) 9 4320 2 + + 3 + 2 = 4320 = 240( ) 8 3 4320 2 + + 3 + 2 = 4320 = 720( ) 6 2 4320 2 + + 3 + 2 2 = 4320 = 2880( ) 3 2 = 5 2 2 2 4-2 4 = 4 5 2 2 2 5 = 2 4 = 5 = 60( ) 4
3-3 5 5 = 2 5 2 8 5
8 (- 3 5 ) 2 = 8 = 20( ) 5 6000000 5 = 56000000 6000000
2 2 (m -) (m ) 2 2 (m -) = 2 2 (3 -) = 84 2 2 (m ) = 2 2 (3 ) = 85 2 2
2 2 2 2 2 0 + +2 +3 +4 = 2 365