הקיטמתמ ןואחסונ דומיל תודיחי 4

1 4. (a b) 2 = a 2 2ab + b 2 a 2 b 2 = (a b)(a + b) : . (a b) 3 = a 3 3a 2 b + 3ab 2 b 3 a 3 b 3 = (a b)(a 2 m ab + b 2 ). b b 2 4ac x1,2 = : ; (a 0) ax 2 + bx + c = 0 : . 2a : . a1 = a a1 = a : .. a n +1 = a n q a n +1 = a n + d a n = a1 q n 1 a n = a1 + (n 1)d : -n . a1(q n 1) n (a1 + a n ) : . Sn = Sn =. q 1 2. n [2a 1 + (n 1)d ]. a Sn =. S= 1 : 2. 1 q (b 0 a 0) : . a x a x ax x x (a b) = a b x ; = x ; (a x )y = a x y ; y = a x y ; ax ay = ax+y b b a : ..q t ) ( M t = M0 q t log a c log a (a b ) = b ; a log a b = b ; log b c = :( a, b, c > 0 ; a, b 1 ) : . log a b ; log a = log a b log a c b log a (b c) = log a b + log a c ; log a (b t ) = t log a b c . y 2 y1 . = m : ,m , ) : ( x 2 , y 2 ) ( x 1 , y1 . x 2 x1 . ) y y1 = m(x x1 y = mx + b ,m ) : (x1 , y1 . ) M( x M , y M ) A(x1 , y1 B(x 2 ,y 2 ) - : . x1 + x 2 y1 + y 2 . = xM ; = yM . 2 2 . d = (x 2 x1 )2 + (y 2 y1 )2 d ) A(x1 , y1 : B(x 2 ,y 2 ) - . m1 m 2 = 1 , , m1 m 2 - . (x a)2 + (y b)2 = R 2 ) , (a , b : R.

2 : . k- n . n ! n n . = Pn (k ) = p k (1 p) n k :p . !) k k!(n k k . ) P( B / A) P( A ) P(A B . = ) P(A / B ; : = ) P(A / B : . ) P(B ) P(B . : . sin( ) = sin cos cos sin ; cos( ) = cos cos m sin sin . sin 2 = 2 sin cos ; cos 2 = cos 2 sin 2 = 1 2 sin 2 = 2 cos 2 1 . a b c . ) R ( = = = 2R : . sin sin sin . ) c 2 = a 2 + b 2 2ab cos : a (b- . 1 . S = R 2 : l = R : . 2 . 1 . ) b (c- S = b c sin : . 2 . 2 . : . ) B h , ( V = B h : : . ) P h , ( M = P h : . B h . ) B h , ( = V : : . 3 . ) R l , ( M = Rl : : . : . : . = ') ( x . 1 . 2 x . ; ) t ( (x t ) = tx t 1 . 1 . (sin x )' = cos x ; (cos x )' = sin x ; = ') (tan x . cos 2 x . (ln x )' = 1 . x . ; (a ) = a . x x . ln a ; = (log a x ) 1 . x ln a . ) [f(x) g(x)]' = f '(x) g(x) + f(x) g'(x : .. ) f ( x ) f ( x )g ( x ) f ( x )g ( x . = g(x ) : . [g(x )]2 . ) [f (u ( x))]' = f ' (u ) u' ( x : . ) u ' ( x u ) x ( . f'(u) - f ) u ( .. 1 x t +1 t . x dx = ln x + C = t ) x dx ; ( t 1 , . t +1.

3 +C : . 1 . f (mx + b)dx = m F(mx + b) + C ) F( x ) f ( x : . 3.