1. an = a x a x a x x a (n )[ n ]2. a-n = 1 an [a 0]3. a0 = 1 [a 0]4. am x an = am+n []5. am an = am-n [ ]6. (am)n = am x n []7. (a x b)n = an x bn []8. [ ]n = an bn , b 0 []9. (a b)m am bm10. an / m = ( )n11. = x [a > 0, b > 0],,,

1

2 1. a : b = c : d ad = bc2. a : b = c : d 3. a : b = c : d 4. a : b = c : d 5. a : b = c : d 6. a : b = c : d b : a = d : c7. a : b b : c a : b : c

... 3, 12 20 60 2 1. 2 - - 2. n = 100 1. a% 100 a 2. a% 100 a 3. a% 100 a 1. 2. 3. ABC , A,B C ABC 1. --(...) 2. --(...) 3. --(...)

1. 180 2. 180 1 . 2 . 1. 180 2. 3. --(...)4. -- ax2 + bx +c a, b, c a 0 x x2+ bx + c b c c b d e de = cd + e = b x2 + bx + c = x2 + (d + e)x + de= ( x2 + dx ) + ( ex + de )= ( x + d )x + ( x + d )e= ( x + d ) ( x + e ) x2 + bx +c ( x + d ) ( x + e )(6x-5) (x+1) = (6x-5) (x) + (6x-5) (1)= 6x2 5x + 6x 5= 6x2 + (5x+6x) 5= 6x2 -5x +6x -5= 6x2 + x 5 1. (6x 5)(x + 1)= 6x2- x = 2. (6x - 5)(x + 1)= -5- x = 3. (6x 5)(x + 1)= 6x + (-5x )- x + x x2 + 2ax + a2 = ( x + a )2x2 2ax + a2 = ( x a )2 a2 +2ab + b2 a2 -2ab +b2 a b a2 +2ab + b2 = ( a + b )2a2 -2ab +b2 = (a-b)2 x2 a2 a x2 a2 x2 a2 = ( x + a ) ( x a ) x2 a2 = ( x + a ) (x-a) x2 + bx + c 1. x2 + 2px +c x2 -2px +c p 2. 1 p x2 + 2px +c = ( x2 + 2px + p2 ) p2 + c= ( x + p)2 ( p2 - c )x2 2px + c = ( x2 - 2px + p2 ) p2 + c= ( x - p)2 ( p2 - c )3. p2 c = d2 d 2 x2 + 2px + c = ( x + p)2 d2x2 - 2px + c = ( x - p)2 d24. ( x + p )2 d2 ( x p )2 d2 A3 + B3 A3 - B3 A3 + B3 = ( A + B )( A2 AB + B2) A3 - B3 = ( A - B )( A2 +AB + B2) ax2 + bx + c = 0 x = a, b, c a 0 b2 4ac 0 ax2 + bx + c = 0 a, b, c a 0 b2 4ac < 0 1. 2. 3. 4. 5. 6. - 0 11. 1. 2. 3. 1. 5 15 2. 3. 2. = + /23. = + /24. = 5. = = + /26. 3 1. 2. 3.