Taller 3 Sistema 3x3 Solo

 

LEC. GNXEKXU OFXXFEXN GKAECN

]NLLFX1 SES]FGN MF FCVNCEKDFS LEDFNLFS 3Z3

 

LEC. GNXEKXU OFXXFEXN GKAECN

Xfsuflvf lns se`uefdtfs fcuncekdfs ckd tkmk fl prkcfmegefdtk pkr fl gåtkmk mf flegednceód y mftfrgedndtfs, edcluer fl pndtnllnzk mf @fk@fhrn, dk klvemfd ln vfreocnceód.

>. Z + U + Q 7 >8 8. 8Z - U + Q 7 0 3. Z + 8 8U U -Q 7?

X]N/ FLEGEDNCEÓD -

Sf ]k ]kgn gn > y 3 p pnr nrn nf fle lege gedn dnrr Q

Z + U + Q 7 >8 Z + 8U - Q 7 ? 8Z + 3U 7 >: fcunceód =

-

Sf tk tkgn gn 8 y 3 p pn nrn fl fleg eged ednr nr Q

8Z - U + Q 7 0 Z + 8U - Q 7 ? 3Z + U 7 >3 fcunceód 6

-

Sf ttk kgn ln fc fcun unce ceód ód = y 6

8Z + 3U 7 >:  3Z + U 7 >3

(*-3)

8Z + 3U 7 >: -5Z - 3U 7 -35 -0Z 7 - 8> Z 7 -8>/-0 Z7 3

-

Sf rf rfg gplnz plnzn n lln nf fcu cunc nceó eód d6

 

LEC. GNXEKXU OFXXFEXN GKAECN

3Z + U 7 >3 3) + U 7 >3 3( 3(3 5 + U 7 >3 U 7 >3 – 5 U7=

-

Jn Jnll llnr nr Q tk tkgn gndm dmk k lln nf fcu cunc nceó eód d>

Z + U + Q 7 >8 3 + = + Q 7 >8 0 + Q 7 >8 Q 7 >8 – 0 Q76

_FXEOECNCEÓD >. Z + U + Q 7 >8 8. 8Z - U + Q 7 0 3. Z + 8U - Q 7 ?

-

Fcunceód >

Z + U + Q 7 >8 3 + = + 6 7 >8 >8 7 >8

-

Fcunceód 8

8Z - U + Q 7 0 8 (3 (3) – (= (=) + 6 7 0 ?–=+670 8+670 070

-

Fcunceód 3

Z + 8U - Q 7 ?

Z7 3 U7 = Q7 6

LEC. GNXEKXU OFXXFEXN GKAECN  

3 + 8(= 8(=) – (6 (6) 7 ? 3+:–67? >> – 6 7 ? ?7?

MF]FXGEDND]F

>. Z + U + Q 7 >8 8. 8Z - U + Q 7 0 3. Z + 8U - Q 7 ?

-

(

∏7

Z7 3 U7 = Q7 6

Okrg rgn nr ln lnss gnt ntre reccfs ∏ , ∏ Z, ∏ U, ∏ Q

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Okrg rgn nr ln lnss gnt ntre reccfs ∏ , ∏ Z, ∏ U, ∏ Q XF@LN MF SNXXVS

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∏7

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ξ 7 (>*->*->) + (8*8*>) + (>*>*>) ξ 7 > + = + >

LEC. GNXEKXU OFXXFEXN GKAECN  

ξ 7 ?

 θ 7 (>*->*>) + (>*8*>) + (->*>*8)  θ 7 -> + 8 – 8  θ 7 ->

Mft ∏ 7 ? – (->) Mft ∏ 7 0

( ) >8

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0   ∘>

∏ Z 7

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8

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>8

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 μ7 (>8*->*->) + (0*8*>) + (?*>*>)  μ7 >8 + >= + ?  μ7 38

 θ 7 (>*->*?) + (>*8*>8) + (->*>*0)  θ 7 -? + 8= – 0  θ 7 >>

Mft ∏ Z 7 38 – >> Mft ∏ Z 7 8>  

( )

∏ U 7

>

>8 >8

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8

0

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 μ7 (>*0*->) + (8*?*>) + (>*>8*>)  μ7 -0 + >8 + >8  μ7 >0  θ 7 (>*0*>) + (>*?*>) + (->*>8*8)

LEC. GNXEKXU OFXXFEXN GKAECN  

 θ 7 0 + ? – 8=  θ 7 ->>

Mft ∏ U 7 >0 – (->>) Mft ∏ U 7 8:

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>8

8   ∘>

∏ Q 7

0

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 μ7 (>*->*?) + (8*8*>8) + (>*>*0)  μ7 -? + =: + 0  μ7 =5  θ 7 (>8*->*>) + (0*8*>) + (?*>*8)  θ 7 ->8 + >= + >8  θ 7 >=

Mft ∏ Q 7 =5 – >= Mft ∏ Q 7 36

XF@LN MF BXNGFX  Z 7  Z 7

mft∏ Z  mft∏ 8> 0

Z73

U 7 U 7

mft mft ∏ U  mft∏ 8: 0

U7=

Q 7 mft ∏Q  mft∏

 

LEC. GNXEKXU OFXXFEXN GKAECN

Q 7

36 0

Q76

YND]NLLNQK MF @FK@FHXN

Vdn ckgpnþçn vfdmf prkmuctks cksgåcks, fdtrf ludfs, gnrtfs y geårcklfs vfdmeó fd tktnl ?? prkmuctks. Fl ludfs vfdmeó 3 prkmuctks gîs quf fl gnrtfs.

 

LEC. GNXEKXU OFXXFEXN GKAECN

Fl geårcklfs vfdmeó ? prkmuctks gîs quf fl ludfs. »cuîdtks prkmuctks vfdmeó cnmn mçn ln ckgpnþçn;

Ludfs7 Z

gnrtfs7 U

geårcklfs 7 Q

Z + U + Q 7 ?? Z7U+3 Q7Z+?

Yrkcfsk mf Flegednceód

 W

R

 x + y + z 7??  x 7 y + 3  z 7 x + ?

Krmfdngks _nrenhlfs

R

 y + z 7??  x ∘ y 73 ∘ x + z 7?

W

Xfstngks Fcuncekdfs

R

  x ∘ y 73 ∘» x +  y + z 7?? ∘8  y ∘ z 7∘?3

R

  x +  y + z 7?? ∘8  y ∘ z 7∘?3 ∘ x + z 7?

W

 W

Sugngks fcuncekdfs   ∘ x + z 7? + » x + y + z 7 ??

R R

 y + 8 z 708

 W  W

Gulplecngks y+8z708 pkr 8   x +  y + z 7?? ∘8  y ∘ z 7∘?3 8 y + = z 7>==

Sugnr Fcuncekdfs

R

 W

  8  y + = z 7>==

+ »∘8  y ∘ z 7∘?3 3 z 7:>

Xfsklvfgks pnrn z 3 7:>

 z

1 780

 pnrn z  z

Xfsklvfgks pnrn y

 

LEC. GNXEKXU OFXXFEXN GKAECN ∘8  y ∘80 7∘?3  pnrn y 1 y 7>:

Xfsklvfgks pnrn x  x + >: + 80 7?? pnrn x 1 x 78>

Gåtkmk mf Mftfrgedndtfs

 W

R

 x + y + z 7??  x 7 y + 3  z 7 x + ?

Krmfdngks _nrenhlfs

R

 y + z 7??  x ∘ y 73 ∘ x + z 7?

W

Gntrez mf ckfocefdtfs  G 7

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Cklugdn mf rfspufstn ?? 3

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Xfgplnzngks lks vnlkrfs

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 G   xx 7

 G   yy 7

 G   zz 7

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Xfsklvfgks ulezndmk rf`ln mf Crngfr ∘ ?3

 x 7  y 7  z 7

7 8>

∘3 ∘ 6= ∘3

∘ :> ∘3

7 >:

780

Z+y+z7?? 8>+y+807?? 8>+y7??-80 8>+y735 U735-8>

 

LEC. GNXEKXU OFXXFEXN GKAECN

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