x y 7 xy = 1 b c a b = x x = 1. 1

x + 17 + x 15 = 16 x + 17 x 15 + 17 15 x + 17 - x 15 = (x x ) ( ). x + 17 + x 15 x + y + 9 x + 4 y = 10 x + 9 y + 4 = 4xy. 9 4 ( x + ) + ( y + ) = 10 x y 9 ( x + )( ). x y 4 + = 4 y

1 l O d r. l O d r. 3 l O d r.

AB = AE DAB = EAC AD = AE

5 3 5 1 8 7 6 3 1 4 15 5 6 1 9 3 1 8 5 8 6 1 1 1 8 6 3. 1 1 8 6 1 1 1 8 6 1 + = =, = = 1 1 1 6 1 1 1 6 8 6 4. 1 1 8 6 8 6 + 1 1 1 1 Μ Μ Μ Μ 1 1 + 3 3 1 5. 3

3 ( ) ( ) ( ) + = + = = ( ) 4 3 ( ) ( ) ( ) 5 ( ) ( ) ( ) = = = ( ) 3 1 ( ) ( ) ( ) 7 1 ( ) ( ) + = + = ( ) 9 6 ( ) ( ) 5 1 1 3 8 6 1 4, 1 1 3 8 6 8 6 1 1 ±, ± 1 1 1 3 1 3 1 8 6 ± 3 1 1

lg8 + lg1 lg96 lg8 lg1 = 1 1 1 1 + + n n 1 3 n 1+ 1 + 1 + + 1 n 3 n 1 1 1 n n n n = nn = = n, 1 3Λ n n nλ n n n n 1 1+ + 1 3 + + 1 n n n 1. a + b c = 3 a b c = 3 a b c. a = b = c a = b = c =.

1 + 1 1 + 1 1 + + 1 3 n! 1 1 = 1 K-1 K! 1 Λ 1 1+ 1 + 1 + 1 + + 1 1+ 1 1 n! 1 + 1 + 1 n-1 1-1 n = 1+ 1 = 3-1 1 n-1 3. 1 1 1 + + + 1 m + 1 m + m 1 m 1 1 1 1 1 1 1 m + 1 + m + + = m m m m m m = 1 1 1 1 1 1 1 m + 1 + m + + m m + 1 + m + 1 + + m + 1 m = 1 m + 1 1 1 1 + + 1 m + 1 m + m 1. 1 + 1 + 1 + 1 + 7 3 n 4 1 1 1 1 K K( K 1) K 1 K 1 1 1 1 1 1 1 1 1 + + 1 + ( ) + ( ) + + ( ) 3 + + n + 1 Λ 3 3 4 n 1 n 5 7 = + ( 1 4-1 n ) = 4 7-1. n 4

1+ 1 + 1 3 + + 1 n +1-1 n = K K K + K K + 1 + K = K + 1 K 1 1 1 [ -1 3 - + + n + 1 n ] n = n + 1-1. a + ab + b + b + bc + c + c + ca + a a + b + c a + ab + b = 3 (a + b + b ) 4 3 3 a a + ab + b = (b+ a + a ) 4 b + 3 a + ab + b a b a = b = 0 4 3 3 b + cb + c b c c + ca + a c a. 4 4 a + ab + b + b + bc + c + c + ca + a a + b + c a + b a b + 1 + a + b 1 + a 1+ b 3

a b 1 + = 1+ a + b 1 + a + b 1 1+ a + b 1 = 1 + 1 a + b 1 1 a + b a + b 1 1 1 1 + 1. 1+ a + b a + b 1 1 1 19 n + 1 + n + + n 3n 0 1 1 1 1 1 1 9 13 17 n = 3 = + + + + + = + + 4 5 6 7 8 9 0 4 7 19 0 1 1 1 19 n = k k + 1 + k + + Λ + K 3k 0 1 1 1 1 1 1 k + + k + 3 + Λ + 3k + 3k + 1 + 3k + + 3k + 3 1 1 1 1 1 1 1 1 = + + Λ + + k + 1 k + 3k 3k + 1 + 3k + 1 + 3k + + 3k + 3 k + 1 19 3 + 0 3k + 3-1 k +1 = 19 n = k +1. 0 1 x = 5 x = x + n 0 x 45. x 0 n+1 n 1 x k+1 = x k + k 0 x 1 x k+1 - x k =. x k k n k = 0 1 n -1 x - x n. x 100 1000 x 0 = 000 5 = 05 45. 100 n 0

V = 1 3 Sh

x = -1 1 x = -1

du u sin 3 a 1 = q 0 b 1 q1 + 1 q + Μ 1 + q n 53 1 53 = 1+ = [1 3 5] 37 1 37 + 3 + 1 5 1 + 3 = [1 1 ]1

1 100,, 4 1 1+ 1 100 1+ 1 100 4 4 4 1+ 1 1500 4 1,? 1?? 4

1-1 1 4 1-6 6 1 4 ( 1- ), 6

4 A B C D 4 d = Ax By C 0 + 0 + A + B

A 1 B = -1 C = -4 x y = -a 0 0 -a + a - 4 d = = 4 B 1 + 1 θ θ θ K 0 K cos - sin = 1- sinθ θ = + K = + K 3 3 cos K - sin K = cos cosk sin sink - 3 3 3 3 0 K = sin cosk - cos sink 3 3 0 K = 4 + y x K 1 3- K = 1 K = [ ]