Persamaan Linier SMK Kelas 12

7/30/2019 Persamaan Linier SMK Kelas 12

1/12

Ufkh~dohmzy@lbkia(ncbR Pklo ;

^cka ~cka AK]IDKH _H]_E _HK^ ^BE Hch"]oehie

]cpie6 POZ^KBKKH AIHIOZ

;( Hiaki t mkh y ykhl bobohudi poz~kbkkh? 2 !y2":J( t2">!y2":N( t2">!y2:M( t2>!y2:O( t2>!y2";

fk|kj $J)

bohlluhkekh pzih~ip oaibihk~i6

9 2 ;4 y 2 ":Bkek mohlkh ~uj~}i}u~i hiaki y eopkmk ~kakd ~k}u poz~kbkkh! mimkpk} hiaki t 2 ">(

:( Dibpuhkh pohyoao~kikh $t!y) mkzi poz~kbkh jozieu} ihi6> : 2 ;7: %> 2 :

kmkakd

K( $"=!":)rJ( $">!:)rN( $:!:)rM( $=!":)rO( $=!:)r

Fk|kj $M)

;> 2 :7 y 2 ":

Bkek mohlkh ~uj~}i}u~i hiaki y eopkmk ~kakd ~k}u poz~kbkkh! mimkpk} hiaki t 2 =(

>( Mieo}kdui poz~kbkkh ~i~}ob aihioz jozieu} ihi< %: 2 => %= 2 ;=(Hiaki mkzi ?t % 2


2/12

Ufkh~dohmzy@lbkia(ncbR Pklo :

K( ;J( :N( >M( =O( ?

Fk|kj $N)

;; 2 :: t 2 :Mohlkh ~uj~}i}u~i hiaki y eopkmk ~kakd ~k}u poz~kbkkh! mimkpk} hiaki y 2 "?(

Bkek! ?t % 2 >(

=( Poz~kbkkh lkzi~ ykhl boakaui }i}ie $>!:) mkh $:!">) kmkakd

K( y 2 ;>t ?J( y 2 ";>t % ?N( y 2 ?t % ;>M( y 2 ?t ?O( y 2 ?t ;>

Fk|kj $O)

2 2 2 y 2 ?t ;>

?( poz~kbkkh lkzi~ ykhl boakaui }i}ie $":!?) mkh }olke auzu~ mohlkh lkzi~ y 2 :t % < kmkakd

K( y%t#:"= 2 0J( y"t#:"= 2 0N( y%t#:%= 2 0M( "y%t#:"= 2 0O( "y%t#:"= 2 0

Fk|kj $K)

y 2 :t %

_h}ue muk lkzi~ ykhl ~kaihl }olke auzu~ jozakeu b ; (b : 2 ";( ^odihllk hiaki b ; 2 ";#:(

Bkek 6 y y ; 2 b ; $t"t ; )


3/12

Ufkh~dohmzy@lbkia(ncbR Pklo >

y ? 2 ";#:$t%:)

y 2 "t#: % =(

7( Poz~kbkkh lkzi~ ykhl ~ofkfkz mohlkh :y 2 =t 7 mkh boakaui }i}ie $=!>) kmkakd

K( y":t%?#:20J( y"t#:%?20N( y":t"?20M( y%:t%?20O( y":t%?20

fk|kj $O)

: 2 = 76bohfkmi

2 : >! bkek b : 2 :(

_h}ue muk lkzi~ ykhl ~ofkfkz jozakeu eo}oh}ukh b ; 2 b : 2 :(

Bkek 6 y y ; 2 b ; $t"t ; )

y > 2 :$t =)

y 2 :t " ?(

t " ;>M( y 2 >t " ;>O( y 2 >t#;>

fk|kj $K)

>y t % ? 2 0 y 2 t#> ?#>! bkek lzkmioh} b : 2 ;#>(

_h}ue muk lkzi~ ykhl ~kaihl }olke auzu~ jozakeu b ; (b : 2 ";( ^odihllk hiaki b ; 2 ">(

Bkek 6 y y ; 2 b ; $t"t ; )

y < 2 ">$t :)

y 2 ">t % ;>(

4( Poz~kbkkh lkzi~ ykhl boakaui }i}ie K$=!:) mkh J$";!">) kmkakd

K( y 2 t % >


4/12

Ufkh~dohmzy@lbkia(ncbR Pklo =

J( y 2 t " >N( y 2 >t " >M( y 2 t#> " ;O( y 2 t % ;

fk|kj $J)

2 2 2

y 2 t >(

9( Hiaki t ykhl bobohudi ~i~}ob poz~kbkkh6= %> 2 0 %7 2 0

kmkakd

K( $">!";)rJ( $";!:)rN( $";!";)rM( $>!";)rO( $">!;)r

Fk|kj $M)

= %> 2 0bkek = %> 2(Akau hiaki y }oz~oju} mi~uj~}i}u~iekh eo mkakb poz~kbkkh eomuk(

%7 2 0 = >%7 2 0 : > 2 0(Kekz poz~kbkkh mkzi joh}ue }ozkediz kmkakd t ; 2 > mkh t : 2 ";(

;0( Dibpuhkh pohyoao~kikh poz~kbkkh aihioz> 2 >: %9 2 ;;kmkakd K( $;#>!=)rJ( $"=!;#>)r

N(

$=!;#>)rM( $;#>!"=)rO( $;!=)r

Fk|kj $N)

> 2 > t 2 > % >yAkau! hiaki t }oz~oju} mi~uj~}i}u~iekh eo mkakb poz~kbkkh ykhl eomuk(


5/12

Ufkh~dohmzy@lbkia(ncbR Pklo ?

: %9 2 ;; :$> % >y) % 9y 2 ;; y 2 ;#>Mohlkh ~uj~}i}u~i hiaki y }oz~oju} eo mkakb ~kakd ~k}u poz~kbkkh! mimkpk} t 2 =(

Dibpuhkh hiaki t 2 $=!;#>)r(

;;( Jiak mieo}kdui hiaki t 2 ": jozakeu uh}ue poz~kbkkh :y 2 t % 7 mkh y 2 t#: % p bkek hiaki p ykhlbobohudi kmkakd

K( =J( >N( :M( ;O( ";

Fk|kj $J)

:y 2 t % 7 :y 2 ": % 7 y 2 :

y 2 t#: % p : 2 ":#: % p p 2 >(

;:( Dkzlk aibk juhleu~ bio ih~}kh mkh }ilk jukd fozue bkhi~ Zp(


6/12

Ufkh~dohmzy@lbkia(ncbR Pklo 7

^odihllk :t % y 2 Zp( :((:?0! "( ^uk}u ~kk} mik bohlluhkekh ukhl }oz~oju} ~ojo~kz Zp(000! "M( Zp( >:?0! "O( Zp( =000! "

Fk|kj $M)

_khl ]u}i buak"buak 2 >(:?0! Ykhl mipkeki 2 :?0) ?(000! "J( Zp =?(000! "N( Zp ??(000! "M( Zp 7?(000! "O( Zp


7/12

Ufkh~dohmzy@lbkia(ncbR Pklo <

Jiak $;) mi~uj~}i}u~iekh eo $:)! bohldk~iaekh6

:$ ) % >y 2 :4?000

y 2 Zp =?(000! "

;?( Pkmk ~ojukd jkhluh ~oli}ilk pozjkhmihlkh kh}kzk kak~ mkh }ihlli kmkakd >6=( Fiek fubakd mkzi mukekai kak~ mkh }ilk ekai }ihlli bohldk~iaekh khlek >7! bkek kak~ mi}kbjkd }ihlli kmkakd

K( ;=J( ;?N( ;7M( ;6= t 2 $;)y 2 }ihlli

bkek6:t % >y 2 >7 $:)Jiak $;) mi~uj~}i}u~iekh eo $:)! bohldk~iaekh6:$ ) % >y 2 >7 y 2 4(t 2 7(^odihllk t % y 2 ;=(

;7( Fiek p mkh { kmkakd pohyoao~kikh mkzi ~i~}ob poz~kbkkh

%2 7%2 ;0 Bkek {"p 2

K( >J( :N( ;M( 0O( ";

Fk|kj $M)

%2 7%2 ;0%2 ;:%2 ;02 :

t 2 ;#:

Mohlkh boh~uj~}i}u~iekh hiaki t eo mkakb ~kakd ~k}u poz~kbkkh mi k}k~ mimkpk} y 2 ;#:(


8/12


Jiak p 2 t mkh {2 y! bkek6{"p 2 0(

;(:?0! "J( Zp =(:?0! "N( Zp ?(:?0! "M( Zp 7(:?0! "O( Zp 000 " ) % :y 2 ;0:?0

=


9/12


;9( Dkzlk ~ojukd jueu }ilk ekai dkzlk ~ojukd poh~ia( Jiak }ilk jueu mkh muk poh~ia ~odkzlk Zp ?(?00!"! jozkpk dkzlk ~ojukd jueu mkh ~ojukd poh~ia(

K( Zp ;(000! "J( Zp ;(?00! "

N( Zp :(000! "M( Zp :(?00! "O( Zp >(000! "

Fk|kj $N)

t 2 dkzlk ~ojukd jueu

y 2 dkzlk ~ojukd poh~ia

bkek poz~kbkkh aihioz hyk kmkakd6

>t % :y 2 :?00 $;)

t 2 >y $:)

jiak $:) mi~uj~}i}u~iekh eo $;) kekh bohldk~iaekh6

>$>y) % :y 2 ??00

;;y 2 ??00

y 2 Zp ?00! "

bkek hiaki t 2 Zp( ;(?00! "

fkmi! t % y 2 Zp :(000! "

:0( Mieo}kdui poz~kbkkh aihioz

Mohlkh hiaki y 2 :( Jozkpkekd hiaki p 2

K( ;J( :N( >

M( =O( ?

Fk|kj $M)

^uj~}i}u~iekh hiaki y 2 : eo mkakb poz~kbkkh poz}kbk6

:t ?y 2 ": :t ?$:) 2 ": t 2 =


10/12

Ufkh~dohmzy@lbkia(ncbR Pklo ;0

Akau hiaki t 2 = mkh y 2 : mijoziekh eo poz~kbkkh $:)6

pt el fozue mkh

K( 0(? ElJ( ; ElN( ;(? ElM( : ElO( > El

Fk|kj $M)

t 2 dkzlk ; el bkhllk

y 2 dkzlk ; el fozue

poz~kbkkh aihioz ykhl }ozjoh}ue6

>t % y 2 :


11/12

Ufkh~dohmzy@lbkia(ncbR Pklo ;;

: 2 2 :? 2 ?2 ;

Mohlkh boh~uj~}i}u~iekh hiaki y 2 "; eo mkakb ~kakd ~k}u poz~kbkkh! mimkpk} hiaki t 2 ?(

:>( ^ojukd lkzi~ auzu~ p boao|k}i }i}ie K$:!";) mkh J$"=!">)( ^ojukd lkzi~ auzu~ bobc}chl lkzi~ p ihi~onkzk }olke auzu~ mkh boao|k}i }i}ie $0!:)( Poz~kbkkh lkzi~ { 2

K( y 2 ">t % :J( y 2 :t % :N( y 2 :t ">M( y 2 >t " :O( y 2 ">t % >

Fk|kj $K)

Lkzi~ p6

2 2 2

y 2 t#> ?#>

bkek b p 2 ;#>

~odihllk hiaki b { 2 "> ekzohk k}uzkh uh}ue : lkzi~ ykhl }olke auzu~ kmkakd b p(b { 2 ";(

Lkzi~ {6

y"y; 2 b {$t"t ; )

y": 2 ">$t"0)

y 2 ">t % :

:=( Lzkmioh} ~ojukd lkzi~ auzu~ ykhl boao|k}i }i}ie K$":!0) mkh J$=!":) kmkakd

K( ";#=J( ";#:N( ";#>M( ":#>O( ">#=


12/12

Ufkh~dohmzy@lbkia(ncbR Pklo ;:

Fk|kj $N)

2

2

y 2 "t#> :#>

bkek! lzkmioh}hyk 2 ";#>(

:?( Mieo}kdui poz~kbkkh

Bkek t#: y#? 2

K( ";J( ":N( ;M( :O( >

Fk|kj $M)

Mikbjia ~kakd ~k}u poz~kbkkh6 :t y 2 < y 2 :t

Persamaan Linier SMK Kelas 12

Documents

Transcript of Persamaan Linier SMK Kelas 12