( m+ n) a 6 4 4 4 4 7 4 4 4 48 m n m+ n a a = a 4 a 4 3 a a 4 a 4 3 a = a 4 a 4 4 a 4 == 3 = a ma na ( m+ n) a A 0 a m a n m n a m+n 0 B a m a n m n m>n a m-n C 0 (a m ) n m n a mn D (ab) n n a n b n

( x) 7 ( 00xy ) 7 50 a( a > 0) a = a = 0( a = 0) a( a < 0) x x 6x+ 9 ( 5. < x< 5. ) x x 6x+ 9 = x ( x 3) 5. < x< 5. x> x < 3 x< 0x 3< 0 = x ( x 3) = ( x) [ ( x 3)] = x 4

a + a a ( a ) a a 0 = a + a + a = ( a ) + a + a = ( a + ) a = a + a = 3 a b c a a + c+ ( c b) b a < 0 c < a b > 0 a + c < 0c b < 0 = a [ ( a + c)] + [ ( c b)] b = a + a + c c + b b = 0 4 x 3x + = 0 x + = x x 3x + = 0 x 0 x 3+ = 0 x + = 3 x x = x + x + 4 x x = ( x + ) 4 x = 3 4 = 5 x 4 4x + x ( x < 0) x + < 0 4x x + 9 4x + 4x x 3 x 3x 9x 3 x 3 x 5x + 6 ( ) 3x x + ( < < ) x 9x 4 a ( a) =

5 x ax > x a + a a a ( ) A a B Ca D 6 a b c ABC ( a b c) + a + b c = ()x +x = (x +x ) 3 3 ()x +x =(x + x )(x x x + x ) (3)x 4 (4)(x x x =(x + x )[(x +x ) 3x x ] 4 + x = ( x + x ) ( x x ) = [( x + x ) x x ] ( x x ) x) = x x x + x = ( x + x) 4xx ( 5) x x = ( x + x) 4xx ( 6) x + x + = x x x x ( ) ( 7) x + x x + x x x + = = x x x x ( x x ) x ( 9) x x x + = x + x x x ( x + x) x x = x x ( 8)( x + a)( x + a) = x x + a( x + x ) + a

( ) x x = ( x x ) = ( x + x ) 4x x ( ) x x = ( x + x )( x x ) = ( x + x ) ( x + x ) 4x x 3 3 ( 3) x x = ( x x )( x + x x + x ) = ( x + x ) 4x x [( x + x ) x x ] 5 3 4 5 5

AD AE DE = = ( ) DEBC AB AC BC ADE ABC AD AE ( ) = DEBC AB AC ( 3) DEBC S S = DE BC ADE ABC BD AB ( ) = = DC AC ( ) ( a) S S = BDDC ABD ACD ( b) S S = BCCD ABC ACD AC AD ( 6) = BC BD

DM DN ( a) MN AC = MA NC AC CN ( b) = = AD ND AB AM ( c) 3 = 4 = BD MD DM DN AB AC = = 4 MA NC BD AD OM ON 3 = PQR MP NR OM ON OM ON OMP ONS = = NS = NR MP NS MP NR RNS RQO QP = QR

AM EM = DM AM AM EM = AM EM A M DM AM

0.76 p = ρhg 3. 6

h ρ = h = 36. h = 36. h h ρ

A+B AB AB A+B A+BC AC+B

O CO CO CO

y x

y = x + ( 0 x 5) y = x + A( 0 ) y = x + ( 0 x 5) AB y = x + y = x + ( 0 x 5) A ( 0 4) B( 4) S = 40t + 4( t 0) A 4 x 0 y 3.75.5 0

Rt DBE BO DE BO =

AD AE AB = = DC CE AC

APB = 60 PA = 4 3ABPD E BC = O E = O O O E = ( R + r) ( R r) = 4Rr

O xcm FK = 8 xfk = 4 x 4 + 4 x + x = 5 ( x) + 4 x = 0 x = 3

PA PC = PA = PCPB PB PA BC = 3 = BC = 3 sin P = O B 3 OC = = = OP 5 + PD OP + PD PD = sin P = AC = BC AB = 3 3 = 3 ABC 3 + 3 + 3 = 3 + 3 3

L L + = L + L 3 3 6. 43.

V ρ = gv + G ρ g.

ρ V= gv + G ρ g.

x + + + ( x )( x ) ( x )( x 3) ( x 3)( x 4). x = + + ( x )( x ) ( x )( x 3) ( x 3)( x 4) = + + x ( x )( x 3) ( x 3)( x 4) x = + ( x )( x 3) ( x 3)( x 4) = + x 3 ( x 3)( x 4) x 3 = ( x 3)( x 4) = x 4 a b a b a b + a + b + a + ab + b a ab + b ( a ± b) 3 3 ( a µ ab + b ) = a µ b = a b + + + + a + b a b a ab b a b a ab + b ( a + ab + b ) ( a b) ( a ab + b ) ( a + b) = 3 3 + 3 3 a b a + b 3ab = + 3ab 3 3 3 3 a b a + b 4 6ab = 6 6 a b 4 3 3 3 3 a + a b a b ab a b 3a b + 3ab 3 3 3 3 4 x a b + ab + a b a b b 3 a + a b + ab a ab + b 3 a( a + b) ( a b) ( a b) = x ab( a + b) b( a b)( a + ab + b )

a( a + ab + b ) ( a b) a b a = b b = 4 x + + ( x )( x ) ( x )( x 3) + + ( x 99)( x 00) = + + x x x x 3 x + + x 00 x 99 = x 00 5 5 5 + 7 + 6 x x + x x x 5x + 6 x 5x + 5 x 5x + 6 x 5x + 5 x 5x + 6 = x 5x + 6 = + + x 7x 6 x 5x + 6 = + 7 + 6 + x x x 5x + 6 ( x + 7x + 6) ( x 5x + 6) = ( x + 7x + 6)( x 5x + 6) x = ( x 5x + 6)( x + 7x + 6) 3 a 6 a a a 3 a = ( a + a + ) a 3 a ( a )( a + a + ) = a

3 3 a ( a ) = a = a x 7 x x + + x x x + + x Θ x x x = x x = x x = x x = x x + y = 3 xy = 0 x = x = 5 y = 5 y = x + y = 6 xy = 5

x = 5 x = y = y = 5 x = x = 5 x3 = x4 = 5 y = 5 y = y3 = 5 y4 = x + y + xy = 5 3 xy( x + y) = 6 u = 3 u = v = v = 3 x = x = y = y = x = x = y = y = xy x + y = 7 4 xy + x y = 3 x = 5 x = y = y = 5 x + + y = 5 5 x + y = 3 x + = uy = v x = u y = v + u + v = 3 u + v = 5

x + y = u xy = v 0-4x 0 x 3 4 3 x = xa + a + x = 0 3 4 a = 3 3 = 4 a = x 4 a = 3 x 4 3 x p = x p x p = x 0 x p = x

p 4 p 0 p 4 4 y = 3x + 3x + 4 ( ) x + x + A4 B4 C3 3 D3 3 4 3 3 y A 3 m + m 5 mm m m 4 DC b ED BD a DC a b = = = = b a b a a a m + m ED DC a b b k = = + k = + m b b a a b a

b b k a + ( ) = 0 a b 5 = ( ) 4( k ) 0 k a 4 m + m 5 m 4

MN = AD + BC ( ). : CE G DG DG BE. AF AE AE AE = = =. DF DG BE BE

AF = AG + FG = 6 + 8 = 0. 5 5 ( 3) ( ), S = π[( x ) + ], 4 5 x = S = 0 5 5 ( 4) π. DAC DEC=80 S + S = 3 AC ABC ΛCDE

S ABC = S HGC S DECS GBC = ( ) S + S = 3 ABC DEC S + 4S = 4 3 ABC S + S = 4 3. ABC S = 4 3. ACH DEC GBC 3 AC = x x x = 4 3. x = 6. x = ±4( ). AC = 4. S = S S ABCDE PCDE PAB 3 = 4 4 = 7 3. 3

S ABC = BC AD = 5 6 = 5.

n =. 5 0. 5 = 3

. n = G F R = U U I R R I R = U U P R P

R U = = 00. P 60 R U 0 = = = 807. P 60 P = IR P U = R Ρ R I ( ) P = U P R U R R 0 = = 807 P U 60 0 = = 936 = P R P 60W 5. P = I R = P = I R U U R = R + 3 R + 3 R

v = gh.

4 9 F = G F = 9. 6 8. 4=. F = ρgv V F. = = 3 = 0. 0 ρ g 0. 0 98. 3 3 3 m G 96. = = = 0. 98 g 9. 8 m 0. 98 3 3 3 ρ = = = 3 / 8. 0 /. V 0. 0 F = G F = 9. 6 8. 4=. F = ρ gv V F. 3 = = 3 ρ g 0. 0 98. m G 96. = = g 98. m ρ = V 3 9. 6 0. 0 9. 8 3 = / 9. 8. 3 3 = 8 0 /.

5 3 F = G ρ g( V V) = G 3 3G 3 5 3 V = = 3 ρ g 0. 0 98. 3 3 = 0. 77 0. 3 3 F = ρ gv = 0. 0 98. 0. 77 0 = 7546. G = G + G = 5+. 5= 7. 5 F G. F = Gρ g( V V) = G 3 3G 3 5 3 V = = 3. ρ g 0. 0 98. F 3 5 3 F = ρ gv = 0. 0 98. 3 0. 0 9. 8 = 7. 5 G = G + G = 5+. 5= 75. Q W 4800 = = 8. U 0 Q. 8 I = = 08. t 60 P = UI = 0 0. 8= 39. 6.

I = Q I, Q. t Q W 4800 = = 8. U 0 Q 4800 I = = 08 t 0 60. 4800 P = UI = 0 = 40. 0 60 Al3+ m SO n K + 4 0. 9m KClO3 = 00% = 40. 7% m( 65%).

3 44 x = y xy = 3350 48 00 C CO 00% = 00% 7 7% 44 =. Ba(OH) = 00% = 30% 40

m n n m A+ B+ 8. 5 8. 5 8. 5 8. 5 C+ D+ n m n m { R + 7x = m n m R + x = n x = 355. B 8. 5 { R + 96n = a a b R = 60n = b n = 36

() n R R(SO ) R ( CO ) 3 n { R + 48n = a a b R + n = b n = 30 8 4 n

AD + BD AB DP = AD + CD AC DP =

ar O n b = 4R a AC = a A B = boa = R OA OC R OC = = R = OCOB OB OA OB R a OC = OA A C = R b OB = OA + A B = R + a b R = R R + 4a R 4R a ) b = 4a R b = 4R a

ar b = 4R a a OC = rn = OA A C = R = 4 R a R R OB = = OC 4R a a S = na A OC = n a R n na = 4R a 4 nar S = ns n OA B A = 4R a ab ab B C = 4 = R 4R RR a 6 = Rb 6 = = R 4R R 3 a b = 3 6 6 6R 3 3 S = 4R R = R 4 6 R R 6 S = = R = 3R 4R R 3

p F S m = m V m V V p F S F S R = U U I = I R

3 ax + bx + c = a(x + )(x 3) b c 3 a 3 3 4 y = 4a a 3 y y 3 3 y = x + x + 3 3 3 x = x

a + b ab = a b( a > 0 b > 0) a + ba + b 5 3x 4y 5x 0y 6x + 8y + = x + 4y 4y x ( x + y)( x y)

y = x 3 y = x 3 3 y = ( x ) + 3 3 5 7 7

ab x = a b c c ab c a x = = c b x b a a = bx= b a a a x x = ab a b

: : : :

3 3 3 x < x < x 8 8 4 3 4 3 3 3 3 x = < < C 5 8 5 4 xy + x + y = 9 yz + y + z = 9 zx + z + x = 3 ( x + )( y + ) = 0 ( y + )( z + ) = 30 ( z + )( x + ) = 4

x + = ± 4 y + = ± 5 z + = ± 6 x = 3 x = 5 y = 4 y = 6 z = 5 z = 7 S = am + an = a( m + n) AEF S = mn a( m + n) = mn AEF M'A = M"A = MA = BC M' M" = BC 4 a x + x - 3 a = 0 5 4 3 4 a + a a a

Θ a x + x = 0 4 a + a = 0a + a = 4 4 Θ a 5 a 4 a 3 a + = a + a + 3 a a + a + 4 = + = + 0 4 3 a = 0 5 4 3 a + a a a 6 60 a b = 3,60 = 5 a b ( b) b Θ 60 = 5 60 60 = = b 60 5 60 60 60 b = =, = b ( b) a b a b = [ ( b) ( b) ] 60 a b a b = ( ) = ( 60 ) 60 60 = = a b 60 60 3 5 a b = ( b)

ax + bx + c = 0 bx + cx + a = 0 cx + ax + b = 0 3 Θ x + x + = ( x + ) + 0 4 a + b + c = 0 - h h ah = a ( ) h h = 4 h = 5

n 3 5 7 3 n+44 46 47 49 5 55 57 n+64 66 67 69 7 75 77

DG ED = BNDCF AB EA ABDC CF CN = AB AN DHAC H EN MDC DH = CN CN ED DG CF DG = EF DH ED = = = = AN EA AB AB BD BC AN EA BDG BCF DBECBN

DH AC DH = CN CN CC'= ED AN = CC' AE = ED AE CF CN DG ED CF DG AB DC = = = DG = CF AB AN AB AE AB AB CF CN EE' DE DG = = = = CF = DG AB AN AE AE AB CF CN CM DM ED DG = = = = = CF = DG AB AN AB' AB' EA AB

a + b + c 3x ( x a) b + c a x ( a < x b) = c a b + x ( b < x c) 3x a b c ( x > c)

s s t t 3 t = = = = υ + s s υ t + t + 4 t t

ρ ρ l l B C ρc = ρb C 995 p ρ gl = ρ g l B A ρ ρ A = B ρ ρ ρ ρa ρb ρb ρb x = l = l = l ρa ρ C 3 ρb ρb G S G

S : : G p p p 3 = p = S

n( n + ) n( n + ) [ k( k + )

4

0 0 0 3 + 5 + 5 5 5 + 5 5 = = 4

ab + c + ab = ( a + b) c c c ab 4a + b a + 4 b

ab 4a + b F P = mg S = r = 0. 0965 9. 8 / 3 34. 75. 0 5 = 0. 983 0

0