96 3 10 71 3 1 7 π π π ( ) 3 a
1 6 x + 1 1 x + 1 7 x + 5 + 1 x + 4 = x
m = b - d a -c cb - ad n = a - c m = 4 - (-3) 8-7 = 7 1 = 7 n = 7 3 8( 4) = 53 8 7
a1 a a3 a N a n 0 + + 3 + L+ n 10 10 10 10
7 355 113 7 355 113 3.14 355 113 355 113 16604
= 1 - = -
8 9 x = x + 16 9 x + x + 4 x + 6 + 3 + 1 = x x = y x y 1 y 4y 10 y 3 1 7 5 8 4 3
3 10-8 + 5 7 1 + 3 3 = 18 4
1 1 1 1 5 17 769 1 1 1 1 1 1 1 = + = + = + + + 5 3 15 11 6 66 9 4 58 174 3
1 1 1 1 1 1 1 1 1 = + = + = + + = 3 6 6 7 4 3 7 4 4 1 1 1 1 1 1 + = + + + 43 1806 3 7 43 1806 1 = 1 3 + 1 + 1 + 1 + 1 5 + 1 7 9 + 1 11 15 + 1 35 45 + 1 31 1 + 1 1 + 1 3 + 1 6 = 1 + 1 1 + 1 4 + 1 7 + 1 14 + 1 8 =
1 1 1 1 1 1 870 4 4 3481 59 1 30 4 1 1 x( ) + 870 + x = ( p ) + q + p x = p + p + 4 q 1 x = b ± b 4 ac ( ) a
z z = - p z pz q = p - p + q = q - p 4 4 y q - p 0 4 y = p - q 4 p y = ± q 4 x = y z = - p p ± q 4 x = - p p 1 + q 4 x = - p p q 4
3x y z 39 x 3y z 34 x y 3z = 6
y z 3 4 y 4 1 z9 1 4 4 x + ya 3yz = a 4z + ua 5uv = a 6v + x = a
x y a = 65 z v a = 191 a = 148 71 71 71 a = 76 L 71 I 10 III 1 1 x( + + + 1) 37 3 7 1 1 3 4 97 4 x = 37 x = 1554 97 3 1 4 3 x x 4
3 xx = 1 4 3 x = 1 4 1 1 x 1 1 xx 0 5 x = 0 4 1 1 4 1 3 7 x + x 4 + x 7 + 3 x x - x - x 4 - x 7 = 3 3 x = 3 8 x 8
x -1 = y +1 x +1y -1
x x x x x x 1 7 8 4 0 5 x - x 1 - x 7 - x 8 - x 4 - x 0 - x = 30 10300 50 5 5 x500 x 3360 168 x = 1 19 z y = 8 17 t 13 17
1 8 ( x 8 ) + 1 = x 64 ± 64 4 768 x = = 64 ± 3 x 48 x 16 1
x + y + z = 100 5x + 3y + 1 z100 3 x + y100 - z 5x 3y 100-1 3 z x + y = 5x 3y 74 x y 19 5x 3y 73
y + z100 - x 3y + 1 3 z 100-5x y = 5-7 x 4 z = 75+ 3 4 x
x 100-1 3 y 1 x y 100 y 3t 3 x100- t t 100 y = 3t x 99 x 97 x 95 x 93 x 91 x 89 y 3 y 9 y 15 y 1 y 7 y 33 x 87 x 85 x 83 x 81 x 79 x 77 y 39 y 45 y 51 y 57 y 63 y 69
3 a - b 3 n 3ab m + 4 3 a - b + 4a b n + 4( m 3 3 3 3 3 ) 3 a b 4[( n 3 3 ) + (m 3 ) 3 ] n m 3 3 3 a b ( ) + ( ) 3 a = n 3 n m 3 + ( ) + ( ) 3 n n m a = 3 3 + ( ) + ( ) 3 n n m 3 3 b + ( ) + ( ) 3 x = a - b = n n m n n m 3 3 3 + ( ) + ( ) 3 3 + ( ) + ( ) 3 x z- b 1 3a
x = - b ± b 4c b 4c b - x1 x c x x 1 b 4c = ( x + x ) 4x x 1 = x + x x + x 1 1 1 x 1 - x
1 30 100
99 9 9 9 9 9 99 9 z = 9 99 99
99 9 8 lgzlg9 = 9 lg9 = 3.87110 0.954 8 = 3.69410 369400000 z9 10 99 369400000 9 99 1
4 4 4 4 4-4 4 4 4 4 9 3 4 + 9 4 + 9 3 5 4 + 9 3 1
4 + 9 3 1 4 + 9 3 5 4 + 9 + 16 8 a a 0 a a 4 4 4 a 0 a 0 a a 4 + 9 5 4 + 9 + 16 9 ( x v) = ( y v) xv = y v x = y ( x v) ( x v) x - v x v v ( x v) x - v v - x ( x v) = v x
( x v) x - v 1-14 1-14 y1 1- = 99988 100000 100000 1 99988 y = y1( 1 ) = y1 100000 100000 99988 = ( ) 100000 1 99988 y 3 = y( 1 ) = y 100000 100000 99988 3 = ( ) 100000 99988 x x -14 y 100000 1 x -14 1 1 99988 = ( ) x 100000 lg 1 99988 = xlg 100000 1 99988 x = lg lg 100000
1-14 5700-14
F = 1 n 5 [( 1+ 5 ) ( 1 5 n ) n ]
1+ 5 1 5 x - x -1 0
4 1 4 4.0 = 0.80.333 5 3 = 1.414 = p q p p q q = p q = p q
p p q q x ± 1 1 i 1 1 16 1 17 1 1 + 16 5 1 a b 1 a bi a b 1i
3 3 5 x - 5 0 3 i x 1 0 5i 1 = 10 + 1 1 1 1 1 + 1 3 + 1 3 4 + 10 10 10 = 0.11000100000000000000000100 1 10 5 + 3 3 1934
1 10000 10000 = 10 = 10 10 1 a1.0001 10000 1 10000 10000
b + a CAB3.163 c 0.5000 b + c DBC5.634 d 0.7500 c + d RCD4.170 r 0.650
EC AE AE AK = = HL EH EH EF EC AK = HL EF d AK d = AK h a a 1 h a a1 d xak h a a h h h KC DG = AK CD d KC y DG a1 AK hcd h a a1 d y a a h 1 = a1 h d y = a a a 1 1 d a a 1 = + - -
N N N N
n f n 1 0 f 0 1 1 3 1 f 1 1 4 1 5 f 1 16 1 17 n 3 f 3 1 56 1 57 4 f 4 1 65536 1 65537 n 5 f 5 5 1 641 f 1945 1 10 10 584
68 + + + 86 154 451 605 506 1111
DE AD = BC AB DE = BC AD 8 6 8 AB 6 AE = ED + AD = 6 + 8 10
S = a + b a + b = 1 a + ab + b S = + + = 1 c + 1 ab + 1 ab = 1 c + ab 1 a + ab + b = 1 c + ab a + ab + b = c + ab a + b = c
180 180 180
1 B BDAB = 1 AB AC ACAB 0.618 AB GK GL GJ GKGL GJ GK AB AC = AC CB
L x = x L x x = - L + L + 4L = 5 1 L 0.618L 5 1 0.618 C AB 5 1 0.618 3. 09 3.09 = 0.618 5
1 1 1 3 3 5 5 8 8 13 13 1 1 34
4 3 R 3
3 3 R R OE = R 3 16
1 1 AB AC 6 3 AC3 R AEDE3 R OE = AE OA = 3R R = R
A C = A B
n 180 n k n - n 180 = 360 k n - n = n = k k - k n = k k - = + 4 4 n k - k
n = P = 1 t P t m 3 n = P P P m P P P t +1 1 k 1 k 1 3 5 17 t + 1 t 3 4 t 57 1 65537 1 1
XB YC ZA = 1 XC YA ZB XB ZB = XC ZD
YC ZD = YA ZA XB YC ZA ZD ZA ZB ZC = ZB = ZA = 1 XC YA ZB ZD ZA ZB ZA ZB ZC XB YC ZA 1 1 XC YA ZB YC 1 YC ZB YA ZA YA ZA ZB YC ZB AYZ ACB = YA ZA XB YC ZA XC YA ZB = 1 XB YC ZA = 1 XC YA ZB XB XB = XC XC
1 AB + CD 1 EPCDEP CD 1 FPAB AB 1 EP P F ABCDEF
1 xy = 6 c( x + y) 4 x y ( x + y) 4 = 1
z + z 4 = 1 x + y = 7 xy = 1 x = 3 y = 4 c = x + y = 5 AB = AC BE = EC OD = m a = ( b ) + R + m R = ( b ) + m m = a R R = a R - R
a = ( b ) + ( R + ) R R a = b 4 a + 4 4R 4 a R = 4a b a b 4a - b 0 R = a 4a b a R = 4a b b = 4R 4 a a R b = a 4R a R a 4R - a 0 R y = R 4 ± 4R b R = R( R ± 4R b ) b 0 4R b RR - 4R b 0 a = R ± 4R b R
AD4 x x = 3x DC = 1-3x y ABBC x x 1 3x 1 3x = y - 3x
m = 3 4 5 1 35 = 8 3 4 = 5 7
5 1 13 5 1 13 3 4 5 a + b = c c + ( b a c ) ( ) c = 1 x = a y = b x + y = 1 c c y 1 x = 1+ x y y n = 1+ x m 1 x n = y m nx - my = -n mx + ny = m x = m n y = mn m + n m + n a b x y c c
a m n b mn = = c m + n c m + n A a B b = = C b C c A C B a b a + = + = C c c + b c
a + a 30. 36 + 30. 36 460. 7 = = 3.14 h 146. 6 146. 6 1 + 1 = a + a + = = h
FF = EE + 1 DD1 A 1C + A1B CB 1 = =
DE = AD AE = 15 ( 10 ) = 15 8 = 1611.69 1 S 1.69 1.698
1 1.69 8 76.14
1 7
AB 4-1 AB AB AB AOB = AOB = 1 R AB S = 1 1 1 R AB + R BC + R CD+ L 1 = R ( AB + BC + CD+ L) 1 = R ( AB+ BC+ CD + L) S = 1 R R = R
MP b = MN a M P M N 1 1 1 1 M P M 3P3 = = = L= M N M N 3 3 b a a c a + c c = b d b + d = d M1P1 + M P + M3P3 + L b = M N + M N + M N + L a 1 1 3 3
1 M P M P M P S 1 1 + + 3 3+ L 1 4 S1 b = = = M1N1 + M N + M 3N 1 3+ L S a S 4
S t S A t S S t S 0 t 0 t 0 t V S V = = 4 t + ( t ) = 4 + t / t t t V t 0 V 4 + t V 4 /
1 3 1 3 = 0.333 1 3 3 1 3 + 1 3 + 1 = 0.333 + 0.333 + 0.333 3
V S V = = 4 + t t V 5 / 4.1 / 4.01 / t V 4 / 0.9 S t
1 1 3 3 4 L 3 1 1 1 1 3 L 5 1 1 4 1 8 1 16 L
1 30
0 0
f x e i 1
3.1 3 1 7
16 3 13 5 10 11 8 9 6 7 1 4 15 14 1 5-5