4
1 1 16 1 0 1 5 3 8 5 8 5 8 7 8 5 1 3 5 1 4 4 5 1 5 1 8
= 1 16 16 10000 16 1 1 5 + 3 8 + = ( = 3 5 3 5 15 1 1 7 4 3 = =. 4 7 4 7 8
4 x y z x + 1 = y + 1 = z + 1 x y z = 1 y z x zx = z-x xy = x-y y-z z-x
6 x y z r x +y = z z x -r = x
1 AC = a AC = 4a AC = 4a
AC E BE 4 S = 1 S BEC ABC EC = a S = 1 a a = a S = a BEC ABC 1 ABC BC cos15 = a sin15 COS15 = sin30 = 1 S = a S ABC
B 30 BD 5 BD = 1 S
R 360 R n 360 n R n R 180 360 1 = n R S = n R 180 360 a b a + b R 180
a b ( a b)( a b = a + b ( a + b) a b ( a b)( a b) = = a a b b. a a + b b ( a) ( b) = a + b ( a + b)( a b) = ( a + b) = a b a 0 b 0 a = b a b = 0 a b a b a + b 0 ( a b) 1 0 a
1 a a 0 a x x = 5 14 x x 1 AB = 5 14
1 1 4 6 3 1.5 4.5 4 1 1 1 4 = 1.5 4.5 = 6 4 1 1 1 1 4 = 4 = 1 = 1 4 4
1 4 4 = 4 4 3 1 18 7 4 3 3 1 18 [ 1 1 ] = 4 7 7 4 18 1 1 3 1 = 4 4 7
x y e e a + = 1 = ( 0 1) z - z + b 1 e cos 1 a Z1Z a R z z1 z C b a 1
b ABC a b 1 a 1 b 0 = KAD K BD = 1 a 1
x y + = 1 16 9 y = x 5 3
0 a 1,0 b 1 a + b + ( 1 a) + b + ( 1 b) + a + ( 1 a) + ( 1 b). x + y
1 - b a 1- a OD = a + ( 1 b), OC = ( 1 b) + ( 1 a) < /PGN004.TXT / PGN > OB = ( 1 a) + b, OA = a + b a + b + ( 1 a) + b + ( 1 b) + a + ( 1 a) + ( 1 b) AB = AD = 3 A = 90 OA OB = 4 AB 3 OA OB = 4 O + y - 3 3 = 0 cos + sin 3 3 d = 5 sin( + ) 3 3 = sin = 1 5,cos = 5
3 3 5 d min
d d < /PGN01.TXT / PGN > S = ( ) = d 1 4 d d d d r = S = r = = = d 1 ( ) 4 C S = 4 C C C C c r = S = r = ( ) = = 4 C S = 4
1 00 4
0 b - 4ac 0 b - 4ac 0 b b ac x = 4 a b b ac x = 4 a b b ac x = 4 a
1 1 1 1 1 5 A. B. 1 1 C. 6 1 0 30 6 30 1 1 D 1 60 1 1 1 1 1 = 1 = 6 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 = + + + + = + + 30 5 6 6 1 0 30 3 3 4 4 5 1 1 1 1 5 + = = A 5 6 6 6 1 1 1 1 1 1 1 1 1 1 1 + + + + 1 + + + + 4 8 16 3 6 1 0 30 1 1 1 < /PGN033.TXT / PGN > + 1 + + + 4 8 16 3 1 1 1 1 1 5 + + + + 1 1 A 6 1 0 30 6
1 3 3 3 3 4 3 1 1 8 5 = 4 1 1 1 1 ( 5) = 4 1 8 1 8 5 1 4 1 = 8 8 18 5 = x, x = 4 1 x 1 1 5 8 + 1 4 1 1 = = x, x
1 4 a 5 3a - 3a 6 a a 7 1 a b b
a = a 1 a 3 = 1 + = + 3 a b) 1 a 1 b 1 a
1 0.01 3 1 1
3 1, 1 4, 5 8,
5 1 + + + + + + 5 5 5 5 5 5 3 5 1 ( + + ) + + 5 5 5 5 ( + + ) 5 5 5 3 1 + + 3 5 5 5 1 ( + 3) 5 5 1 6 + 5 5
1 5 7 + 1 5 6 1 5 1 5 5 6 6 5 1 5 1 5 7 5 1 5 1 5 5 6 7 + 5 1 5 1 1 1 1 1 7 + 7 14 5 5 5 5 5
AB DH R =. AC DR BF GF 1 = DF = HF GF HF AF AF 1 PCE = PEC BE PC =. PB
13 13 0 0 13 0 + 13 0 19 10 0 11 1 1 ( 0 ) = 0 11 11
400 3 = 1440 5 440 = 960 5 1 3 400 1+ = 1440 3 1440 = 960 3 3 1 400 1+ 3 = 960 < /PGN066.TXT / PGN > 3 960 = 1440