Matematicas Unidad 1 Leccion 3

 

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Srlpôsktl6  lrmabjr y unkdjr böoarls krrjdklbjeas ab ej radtj buoërkdj.

        b sjnar… …          ô Manas sjnar          k         d         d Els böoarls rjdklbjeas         a sa puamab lrmabjr          E dlopjrêbmlels dkgrj plr dkgrj,

prkoarl plr su pjrta abtarj y euahl plr su pjrta madkoje.

Böoarls krrjdklbjeas ab ej radtj buoërkdj y lrmab Sasa j qua els böoarls krrjdklbjeas tkabab kbgkbktls madkojeas skb parïlml, as plsknea dlopjrjr y unkdjr jehubls ma aeels ab ej radtj buoërkdj. buoër kdj. Sjrj `jdarel, dlbskmarjraols els skhukabtas jspadtls.

^jïdas dujmrjmjs ab ej radtj buoërkdj

G :

Jyumj

Lnsarvj qua, plr ]alraoj ma Sktêhlrjs6 >

JN ? LJ + LN

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? :> + :> ? > JD ? JN > + ND > ?

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JM ? JD > + DM > >

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Slmaols utkekzjr ej aspkrje ma ]almlrl ma Dkraba pjrj unkdjr ab ej radtj buoërkdj ubj rjïz dlol 8  oamkjbta els skhukabtas pjsls.

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Sjsl :   Ta unkdj ae 3 ab ej radtj buoërkdj, y sa magkba ej ubkmjm. Euahl sa dlbstruya ub trkêbhuel radtêbhuel duyls djtatls okmab :, dlb vërtkdas ab ae 3 y

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? 4 +: +: ? = ?> > JA ? JM + MA > ?

 ]alml almlrl rl ma ma Dkrab Dkraba a, (=71 j.D.-4;0 j.D.) Ae ojtaoêtkdl hrkahl ] draô ej skhukabta dlbstruddkôb mablokbjmj Aspkrje ma ]almlrl ma Dkraba. Dlokabzj dlb ub trkêbhuel radtêbhuel ksôsdaeas duyl djtatl okma : ubkmjm, y sudaskvjoabta sa dlbstruyab oês trkêbhuels radtêbhuels tlojbml ub djtatl ma oamkmj : y ae ltrl as ej `kpltabusj mae trkêbhuel jbtarklr.

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ae :. Dlbmaub samae dlpkj ej oamkmj ej dlopês, `kpltabusj trkêbhuel, dlb dabtrl mae dlopês ab 3 trjzj ub jrdl ma dkrdubgarabdkj kbtarsadjbml ej radtj buoërkdj. Ta lntkaba jsï > .

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Sjsl >   Ta dlbstruya j`lrj ub trkêbhuel radtêbhuel ma djtatls ma oamkmj >  y :, y sa dlpkj su `kpltabusj slnra ej radtj. Jsï sa lntkaba 4.

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Sjsl 4   ^apktkabml sudaskvjoabta astls pjsls, sa dlbstruya 8 .

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Ab ldjsklbas, ae prldasl puama jnravkjrsa ub pldl sk matadtjols jehubjs lparjdklbas. Slr afaopel, sk quaraols unkdjr 8  plmaols dlbstrukr `jstj 4, y>euahl dlbstrukr ub trkêbhuel radtêbhuel duyls djtatls okmjb > y 4. Dlb aeel, >> + 4 ? = + 4 ? 8 , as madkr,, ej `kpltabusj ma mkd`l madkr mkd`l trkêbhuel trkêbhuel okma 8 .

:0

OJ]AOÊ]KDJ >.¶ OAMKL 

 

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Jyumj Ab ae skhukabta abejda `ttp6//hll.he/:o;Wg :

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plmrês jprabmar j unkdjr rjïdas ab ej radtj buoërkdj utkekzjbml

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ub prldasjmlr haloëtrkdl.

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>5 45 15 75 8

Ta lnsarvj qua6

Abtlbdas okabtrjs ojylr saj ej djbtkmjm sunrjmkdje (as madkr, ae böoarl qua astê njfl ej rjïz), ojylr as ej rjïz.

Lrmab ma rjïdas dujmrjmjs @ëdtlr mana lrmabjr ma oablr j ojylr ejs skhukabtas rjïdas dujmrjmjs. ::  

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Sjrj `jdarel, skhua astls pjsls. Sjsl :   [j sjna qua okabtrjs ojylr saj ej djbtkmjm sunrjmkdje, ojylr as ej rjïz. Slr el tjbtl

 

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Sjsl >   Warkgkdj qua ae rasuetjml lntabkml dlkbdkmj dlb el qua `j jprabmkml jbtarklroabta raspadtl j els böoarls madkojeas, as madkr madkr,, qua pjrj lrmabjrels sa els dlopjrj plskdkôb plr plskdkôb, ma kzqukarmj j marad`j, dloabzjbml plr su pjrta abtarj y euahl plr su pjrta madkoje.

>  ? :,=:=>:417>4843;13 :,=:=>:417>4843;13=003:7008>=>3;8… =003:7008>=>3;8…

>2:

   

1 ? >,>47378;88=;;80; >,>47378;88=;;80;7;7=3;:8477084:4… 7;7=3;:8477084:4… 8  ? >,7=181:4::37=1 >,7=181:4::37=1;31;313:7:181474;4 ;31;313:7:181474;4… …

72> 42>

 

:: ? 4,4:77>=8;34114;; ::  4,4:77>=8;34114;;0=;::=;4>8477838… 0=;::=;4>8477838…

724

 

:4  ? 4,73111:>81=74;0 :4 4,73111:>81=74;0;>;4::;>>:>78=831… ;>;4::;>>:>78=831…

Slmaols dlbdeukr qua pjrj dlopjrjr böoarls krrjdklbjeas utkekzjols ej oksoj astrjtahkj qua yj dlbldaols pjrj els böoarls rjdklbjeas.

Ab rasuoab

Sjrj lrmabjr rjïdas dujmrjmjs sa dlopjrjb sus djbtkmjmas sunrjmkdjeas, as madkr, sajb j y n böoarls bl bahjtkvls mlbma j 5 n, abtlbdas j 5 n . Ab djsl ma astjr asdrktjs ab raprasabtjdkô raprasabtjdkôb b madkoje, plmaols lrmabjrejs dkgrj plr dkgrj, ma ej oksoj ojbarj qua els böoarls rjdklbjeas. Sjrj unkdjrejs ab ej radtj buoërkdj, sa utkekzj rahej y dlopês. d lopês.

^jzlbj

y dloabtj

  ¼Zuë astrjtahkj utkekzjrïjs pjrj dlopjrjr ub böoarl rjdklbje y ub krrjdklbje<   Mls böoarls tkabab khujeas sus pjrtas abtarjs y sus dkbdl prkoarjs dkgrjs madkojeas, parl ubl ma aeels as parkômkdl y ae ltrl, krrjdklbje. ¼Duêe as ojylr