1000 soal untuk matematika spmb

log 1 − log

+ 4 % log ( 4 × 4 x ) = 2 − x &

x = ...

2 . log x + log 6 x − log 2 x − log 27 = 0 &

x = ...

25 2 +( x % log 5 = 8 &

x = ...

2 2 2 +* 2 % log a + log b = 12 3 . log a − log b = 4 &

a +b = ...

1 1 ++ log x = log 8 + log 9 − log 27 " x = ...

+- %

p = log 8 &

log '

2 2 +0 2 % log x + 5 . log x + 6 = 0

2 x +y = 8 log( x +y ) = log 2 . log 36 &

x +y 3 = ...

2 - 3 % log 2 = 0 , 3010 log 3 = 0 , 4771 & log

x - +y x 5 = 49 x −y = 6

3 x + 2 - 5 x log 27 = log 3

3 5 -$ 4 % log 5 = p log 4 = q log 15 = ...

-( 2 x log log (

2 + 3 ) = 1 + log x

log x = 4 log ( a + b ) + 2 log ( a − b ) − 3 log ( a − b ) − log

x 2 + 16

log

2 1 3 16 a 1

-- %

log =

log b = 5 &

log 3 = ...

x >y > 1 x + 4 y = 12 xy &

log

2 4 2 x −y

log x + 2 . log y = 2 log

x +y = ...

MATRIKS

a b 5 − 2 2 13

a +b = ...

2 A − B + 3 C 10 &

a = ...

q +t 2 = ...

ab = ...

0* A =

det A = det B &

1 +x 2 = ...

x +y = ...

0- A =

( A . B ) = ...

x −y = ...

01 A =

( A . B ) = ...

K .M =

K = ...

det A = det B &

( A . B ) = ...

2 − 1 − 7 1$ z x 5 + y − 6 = − 21 − 2 5 2 z − 1

1( x +

1 2 4 3 m n 1 2 24 23

1- %

AB = I I "

B = ...

U 6 = 18

U 10 = 30 &

A = ...

11 A =

AB −2 B = C

x +y = ...

− 1 & T B = A =C & " A B = ...

2 x − xy 2 = ...

AP = B &

P = ...

1 2 4 10 − 1 1 − 1 − 4 x

( A . B ) = ...

4 1 − 1 a 1 15

b = ...

3 a 2 a + b 7 7 20

PQ =

x −y = ...

MN = I N =

M = ...

− 5 2 2 y − 1 − 16 5 x

( A . B ) = ...

1 3 + 15 2 2 A = ...

− - 1 f ( x ) =x 2 + 5 g ( x ) =x + 2 & ( f g )() x = ...

0 f ( x ) =x 3 − 4 g ( x ) =2 x + p ; ( f g )( = g f ) &

p = ...

( g f ) () 2 = ...

f ( 1 ) = ...

f ( x ) =x + 2 g ( x ) =

( g f )( ) x = ...

g ( x ) =x + 3 &

( g ( f ( x ) ) ) = ...

g ( x ) = ...

g ( x ) = ...

+ f ( x ) = x − 1 g ( x ) =x 2 + 4 &

( g f )() 10 = ...

( f g )() 6 = ...

g ( x ) =x − 2 &

( g f )() x = ...

g ( x ) =x 2 − 1 &

( f g )() x = ...

$ 2 % f ( x ) =x 2 − 2 g ( x ) =x − 1 &

( f g )( x + 1 ) = ...

( f g )( ) x = ...

f ( x ) = ...

$$ 2 % f ( x ) = x + 1 g ( x ) =x − 1 &

( g f )( ) x = ...

$( 2 % g ( x ) =x + 1 ( f g )( ) x = x + 3 x + 1 &

f () x = ...

$* f ( x ) =

& ( f g )( ) x =

g () x = ...

f ( x ) = x + 1 ( f g )( ) x =

g ( x − 3 ) = ...

$- %

f ( x ) =x 2 − 3 g ( x ) =

( f g )() x = ...

f ( − 3 ) = ...

f ( x ) =x 2 − 3 ( g f )( ) x =x 2 + 1 &

g () x = ...

( f g )() x = ...

2 − ( 1 % ( f g )( ) x = 4 x + 8 x − 3 g ( x ) =x 2 + 4 & f ( x ) = ...

( 2 % f ( x ) =2 − x & g ( x ) =x + 1 & h () x = 3 x &

( h g f )( ) 3 = ...

− 1 x + 2 5 − ($ 1

g (x )

g ( 1 ) = ...

2 (( 2 % g ( x ) = x + x + 2 ( f g )( ) x = 2 x + 2 x + 5 &

f () x = ...

(* 1 − 1 − f ( x ) = ; x ≠ 3 % f # f & f ( x + 1 ) = ...

(+ f ( x ) =

f ( x + 1 ) = ...

(- f ( x ) =

f ( x + 2 ) = ...

(0 2 f ( x ) =x + 2 ( g f )( ) x = 2 x + 4 x + 1 &

g () 2 x = ...

(1 f ( x ) =x 3 − 2 g ( x ) =

( f g )( ) x = ...

− 1 − * 1 2 " f ( x ) =x 2 − 3 % f # f & f () − 1 = ...

* 2 2 " f ( x ) =x 2 − 4 ( g f )( ) x = 4 x − 24 x + 32 &

g () x = ...

f ( x − 2 ) = ...

*$ 2 ( f g )( ) x = x + 3 x + 5 " g ( x ) =x + 1 &

f () x = ...

f ( x − 2 ) = ...

f ( x ) =x 3 + 2 g ( x ) = 2 ( 4 x − 1 ) &

( f − g )( ) x = ...

*+ 2 2 " f ( x ) = 2 x − 3 x + 1 & g ( x ) =x − 1 ( f g )( ) x = 0

− 1 f ( x ) = & f () 3 = ...

f ( x ) =x 8 + 5 g ( x ) = 2 ( 3 x − 1 ) 6 ( f − g )( ) x = ...

*1 2 2 " f ( x ) = x − 3 x + 5 & g ( x ) =x + 2 & ( f g )( ) x = 15 x

f − () 1 = ...

f ( x ) =x 5 + 1 g ( x ) = 2 ( 3 − 2 x ) 6 ( f − g )( ) x = ...

+ 2 2 " f ( x ) = x + 2 x + 1 & g ( x ) =x − 1 ( f g )( ) x = 4 x

+$ f ( x ) =x 6 − 3 & g ( x ) =x 5 + 4 ( f g )( ) a = 81 &

a = ...

+( 2 ; g ( x ) =x 2 + 1 ( g f )( ) x = 6 x + 4 x − 7 &

f ( x ) = ...

h () x = ( g f ) () x

f ( x ) =x 2 + 4 & g ( x ) =

− f 1 (x ) h () x = ...

f ( x ) = x + 1 ( f g )( ) x = 2 x − 1 &

g ( x ) = ...

+- %

f ( 2 x − 1 ) = ...

f ( x ) = ...

+1 2 f ( x ) = x − x + 3 g ( x ) = 1 − 2 x

( f g )( ) x = ...

- g () x = x + 4 x − 5 ( f g )( ) x = 2 x + 8 x − 3 &

f ( x ) = ...

LIMIT

1 − x - lim

- lim

2 2 = → ... x − 2 x

-$ lim x 1 2 = → ...

x − x -( lim

-* lim

0 = → ... 3 − 9 + x

x − 2 -+ lim

= x → 4 x ... − 4

1 +− x 1 -- lim

0 3 = → ... 1 +− x 1 x 2 − 1

-0 lim

x → 1 2 = ...

x +−− 3 x 1

-1 lim

( x + a )( xb + ) −= x → ...

ax b +− x 3

0 lim

a b ...

++ 1 2 ... + x

0 lim

0 lim x → 8 3 = x ... − 2

0$ lim

0( lim

x → 4 2 = x ... − 4 x

0* lim1 + + + ... + n = ...

sin 6 x 0+ lim

= ... x → 0 sin 2 x = ... x → 0 sin 2 x

0- lim x → 0 2 = x ... + 2 x

( 2 x − 5 x + ) 6 sin ( x − 2 )

00 lim

( x −− x 2 )

cos 2 x − 1

01 lim

0 2 = → ... x sin x

sin ( π x − π )

lim 0 = 1 x &

lim

sin 4 x + sin 2 x

1 lim

0 = → ... x 3 cos x x tan x

1 lim x → 0 = − ... 1 cos 2 x cos x − cos 3 x

1$ lim

− 1 cos 2 x − 1 cos x

1( lim

0 → ... 2 tan 2 = x cos 4 x − 1

1* lim

x → 0 x tan 2 x

a sin x

b lim

0 = → ... tan cx sin x

1- %

lim 0 = 1 &

lim π − x tan x = ...

sin 2 x 1 − x

lim

x → 1 = x ... sin ( ππ − x ) xx ( + ) 2 tan x

1 lim

11 lim = x ... → 0

( x + )( 1 1 cos 2 − x )

tan x

lim

lim

x → a 3 = x − 3 a + tan ( x − a )

lim x 2 +

2 2 2 x + 2 x −− 3 2 x − 2 x − 3

lim x

x − 2 x + 3 $$ lim

3 2 = → ... x − 9

( 45 + x )( 2 − x )

$( lim

( x + 21 )( − x )

( 2 x − ) 1 sin 6 x

$* lim

0 3 2 = → ... x + 3 x + 2 x x − k

$+ lim

sin ( x − k ) + 2 k − 2 x

tan 2 .tan 3 x x $- lim x → 0 2 = 5 ... x

2 2 x + x $0 lim

0 = → ... sin x

− 2 1 cos ( x − 1 )

$1 lim 1 2 = ...

cos x − cos 2 x

lim 0 2 = x ... → x

x 2 +− x 6

lim x → 2 3 = ...

lim 1 3 = x ... → −

x 2 − 9 $$ lim

x → 3 = 3 ...

( 2 x + 2 ) ( x −− x 6 )

$( lim

x →− 2 2

3 x 2 − 16 x

$* lim

= ...

− 2 x − 2 $+ lim

− x = → ...

1 1 $- lim

0 − 1 = → ... t t + 1

10 x $0 lim x → 0 = 9 ... − 5 x + 81

6 x − sin 2 x $1 lim

...

2 x + 3 tan 4 x

2 − + 1 cos 2 x

lim x → 0 2 = ...

sin x sin 2 x

lim x → 0 = ...

3 − 2 x + 9 sin x − cos x

lim π

= ...

x → 4 cos 2 x x 2 − 5 x

$$ lim

= sin 2 x

...

sin 6 x $( lim

= ... tan 2 x

x sin 2 x $* lim

= ...

− 1 cos x − 1 cos x

$+ lim → 0 = x ... − 1 cos 2 x

Program Linier

4 x +y ≥ 4 , 2 x +y 3 ≥ 6 4 x +y 3 ≤ 12 &

$$- "

x ≥ 0 , y ≥ 0 & 2 x +y 5 ≤ 10 4 x +y 3 ≤ 12 &

x ≥ 0 , y ≥ 0 & 2 x +y ≤ 6 x +y 2 ≤ 6 F ( x , y ) = x + y &

$$1 4 x + 5 y

x ≥ 0 , y ≥ 0 & x +y 2 ≤ 10 x +y ≤ 7

$( 2 x + 5 y

x ≥ 0 , y ≥ 0 & x +y ≥ 12 x +y 2 ≥ 16

$( 8 x + 6 y

x ≥ 0 , y ≥ 0 & 4 x +y 2 ≤ 60 2 x +y 4 ≤ 48

$( 4 y − x

y ≤ 2 x & 3 y ≥ 2 x , 2 y +x ≤ 20 x +y ≥ 3

$($ 3 x + 6 y

4 x +y ≥ 20 , x +y ≤ 20 & x +y ≥ 10 & x ≥ 0 , y ≥ 0

$(( 2 x + 3 y

3 x +y 2 ≤ 28 & − x + 2 y ≤ 8 & x ≥ 0 , y ≥ 0

$(* 3 x + y

x ≥ 0 , y ≥ 0 & 2 x +y ≥ 4 , x +y ≥ 3

$(+ 4 x + 3 y

x ≥ 0 , y ≥ 0 & x +y ≥ 4 & 2 x +y 3 ≥ 9

$(- 6 x − 10 y

x +y ≤ 10 , x +y 2 ≤ 10 & x ≥ 2 & y ≥ 0

$(0 4 x + 5 y

x +y ≤ 8 & 3 ≤x ≤ 6 , x +y ≥ 5 y ≥ 0

STATISTIKA

"! " ' "' $ $$

& "! " '

"'

"'

$* '

"' =

+'

-& 0& -&* %

' .'

"'

' " : (0 & $+ & +* & - &+

$*- ,

? * &! @'

*@'

&! ? " ! " ' , ' $*0 )

4' & = '

4'

* = ?"! " '

$+$ & ;& 8 ' " "!" ""

8' " "!" " *+ +*&

f ( x ) = cos

f ' () x = ...

$++ 2 y = ( 1 − x )( 2 x + 3 )

$+- /

3 x − 900 +

. " '"

$+1 2 % f ( x ) = x . 4 − 6 x &

f ' () − 2 = ...

$- )

"" x = 2 # y =

$- %

f ( x ) = 6 x + 7 f ' () 3 = ...

$- % 5/

p = ...

3 $-$ 2 2 " # y = x − 6 x + 9 x + 1 #

$-( 4 " y = cos x sin x + cos x

$-* f ( x ) =

; sin x ≠ 0 &

sin x

$-+ 3 2 " " # y = 4 + 3 x − x " x ≥ 0 5 #" '"

"" P m &

3 $-- 2 4/ y = 5 x − 3 x

' x "" P %

2 m + 1 = ...

3 $-0 2 % " . f ( x ) = x − px − px − 1 x = p &

p = ...

$-1 2 f () x = px − ( p + 1 ) x − 6 3 ""

p = ... $0 3 ) # y = 2 x − 4 x + 3 ""

$0 f () x = tan a x + bx

a +b = ...

3 $0 2 ) / f () x = 2 x + 3 x + x "" ( − 1 , 0 )

4 $0$ 2 4/ y = x − 8 x − 9 "

3 $0( 2 "'. / y = x + 6 x + 9 x + 7

2 $0* 2 f ( x ) = 3 x − 5 x + 2 & g ( x ) = x + 3 x − 3 % h ( x ) = f ( x ) − 2 . g ( x ) &

h ' ( x ) = ...

$0+ ' "

x = ...

$0- %

f ' () x = ...

3 $01 2 6 y = x − 3x "

3 $1 2 # f ( x ) = x + 3 x − 9 x + 7 "#

3 $1 2 ) # y = x + 2 x − 5 x "" ( 1 , − 2 ) π

# y = tan x "" ( , 1 )

3 $1$ 2 2 " f ( x ) = 2 x + 9 x − 24 x + 5 %

"" ( 1 , − 1 ) # y = x −

3 $1* 2 6 y = 4 x − 18 x + 15 x − 20 3 5 " x = ...

$1+ 2 " / f ( x ) = ( x − 2 )( x − 1 ) 3 x = ...

x = ...

2 $1- 2 % f ( x ) = − (cos x − sin x ) &

f ' () x = ...

4 dy

y = 3 x + sin 2 x + cos 3 x &

dx

2 $11 3 4/ f () x = 5 + 15 x + 9 x + x

f () x =

f ( 0 ) + 6 . f ' () 0 = ...

f () x = x + x − 2 x + 5

f () x = + x − 2 x &

1 3 df ( x )

dx

($ 6 f () x =

2 + cos x

sin x

b = ...

3 (( 2 " # y = 2 x − 4 x − 5 x + 8 )

3 (* 2 " # y = x − 3 x + 1 ,,

18 x −y 2 + 3 = 0

3 (+ 2 % / y = − x + 6 x + 15 x − 2 − 2 < x < 6 a

a −b = ...

' x ' y "" (a , 0 )

(- 4 "" ( 2 , 8 ) # y = 2 x x + 2 .".

a +b = ...

2 2 (0 2 % x

x + kx + k = 0 &

k = ...

3 (1 2 / y = 2 x − 6 x − 48 x + 5 "# − 3 ≤ x ≤ 4

f () x =

f 'x ( )

4/ y = x x − 2 "#

3 x + ($ 5 " / y = e + ln( 2 x + 7 )

TRIGONOMETRI

0 (( 0 ) ∆ ABC " a +b = 10 ∠A = 30 ∠B = 45 &

b = ...

2 2 (* 2 % tan x + 1 = a & sin x = ...

∆ ABC

cos( B +C ) =

AC = 10 &

AB = 8 &

BC = ...

(- %

tan α = p &

sin α −

2 cos α

∆ ABC

sin( A +B ) = ...

cos t =

π <t < 2 π &

sin t = ...

sin α = 2 sin β &

tan( α − β ) = ...

( 2 % 3 cos 2 x + 4 cos 2 x − 4 = 0 &

cos x = ...

2 ∆ 3 ABC & sin C =

tan A . tan B = 13 &

tan A + tan B = ...

2 cos x +

= cos x −

tan x = ...

(( 2 % θ " 3 2 cos θ = 1 + 2 sin 2 θ

tan θ = ...

2 sin x − 7 sin x + 3 = 0 − < x < &

cos x = ...

3 tan P

PQR

sin P . cos Q = &

5 tan Q

(- 0 % α + β = 270 &

cos α + sin β = ...

(0 " '

BC = CD &

cos B = ... A "

,='

(1 0 ) ∆ ABC & , AC = b & BC = a a +b = 10 % ∠A = 30 ∠B 0 = 60 &

AB = ...

($ cos − sin

+ 8 sin cos

∆ ABC &

AC =

6 & BC = 10 ∠A = 60 &

∠C = ...

3 ($ 2 x " 0 2 π 2 cos x + cos x − 1 = 0

($$ 2 ) ∆ ABC & " a = 4cm , b = 3 cm " 6cm &

∠C = ...

tan

cos

+ tan

sin

sin cos

0 0 ($* 2 % 0 <x < 90 ' tan x 1 − sin x = 0 , 6 &

tan x = ...

0 ($+ 0 ) ∆ ABC & " ∠A = 30 ∠B = 60 % a +c = 6 &

b = ...

($- %

0 <x < 90 '

cot x =

cos ecx = ...

sin α = p

tan( β + γ ) = ...

cos α . cos β = &

cos( α − β ) = ...

4 (( 2 % α " 3 2 cos α = sin α &

tan α = ...

∆ ABC &

C % cos( A +) C = k &

sin A + cos B = ...

(( 0 ) ∆ ABC & ∠B = 45 CT

" C % BC = a

AT = a 2 &

AC = ...

(($ 0 ) ∆ ABC & ∠B = 60 CT

" C % BC = a

3 AT = a &

AC = ...

0 0 0 ((( 0 % sin x = a cos y = b 0 <x < 90 90 <y < 180 &

tan x + tan y = ...

cos x =

cot

−x = ...

sin x = &

cot

−x = ...

((- %

cot x = 3 &

sin

−x = ...

x = 3 tan α &

sin α cos α = ...

((1 f ( x ) = 5 sin x + 2 a b &

ab = ...

m (* 5 2 ' " m = ...

15 sin x − 8 cos x + 25 (* 2 % 0 <x < π sin x tan x − tan x − 6 = 0

tan x = − 3 &

cos x = ...

(*$ 0 cos 1110 = ...

1 sin A

(*( 0 % A + B + C = 360 &

sin ( B +C )

∆ ABC & a , b , c "!

tan a =

tan b = & sin c = ...

α − β = 30 sin γ = &

6 cos A . sin B = ...

(*- 2 "

A B "!

C % sin A =

tan B = &

cos C = ...

(*0 cos 150 + sin 45 + cot ( − 330 ) = ...

(*1 2 % − π < x < π x 6 sin x − sin x − 1 = 0 &

cos x = ...

tan x = 3 0 <x < &

3 cos x + cos x + π + sin ( π − x ) = ...

7cm . % AB = 2 7 cm &

ABC " "

tan A = ...

tan x = &

cos 3 x + cos x = ...

sin x − cos x = p &

sin x . cos x = ...

(+( %

sin θ = −

tan θ > 0 &

cos θ = ...

(+* 0 2 ∆ PQR & PQ = 3cm , PR = 4cm , ∠P = 60 '

cos R = ...

0 0 0 90 0 180 360 720

(++ P = 8sin

cos

cos

cos

17 17 17 17

(+- ( tan 20 .tan 40 .tan 60 .tan 80 ) = ...

(+0 cos π + cos π + cos π = ...

0 0 0 0 0 0 (+1 0 cos 84 .cos 72 .cos 60 .cos 48 .cos 36 .cos 24 cos12 = ...

(- 0 +

0 = ...

sin10 sin 50 sin 70

0 0 0 (- 0 sin 72 .sin 54 .sin 36 .sin18 = ...

2 0 2 0 2 0 2 (- 0 sin 6 + sin 42 + sin 66 + sin 78 = ...

2 0 2 0 2 0 2 0 4 0 2 0 6 (-$ 0 sin 15 + sin 15 cos 15 + sin 15 cos 15 + sin 15 cos 15 + ... ... =