S07.s1 - Material-I.C. PARA 2 PROPORCIONES

 

LURHBCURCEH CNILVLNECHA BCURVCF\ECGN L CNRLVYHAGU BL EGNICHN]H [HVH BGU [VG[GVECGNLU

JHE@CEHG FLMHV NCARGN

 

Rljhrcg

8. Bcstrc Bcstrcfuecõn fuecõn julstr julstrha ha phrh ah bcilrl bcilrlnechs nechs bl bgs prgpgrecgnls. 6. Cntlrvhag bl egnichnzh phrh ah bcilrlnech bl bgs prgpgrecgnls.

 

Agdrg  Ha

icnhaczhr ah eahsl, la lstubchntl, lsthrè ln ah ehphecbhb hpace acehr ah bcstr strcfuecõn julstrha l cntlrvha vhags phrh ah bcilrlnec ech h bl prgpgr pgrecgnls nls bl julstr strhs lxtrhêbh bl bgs pgfah fahecgnls. nls.

 

8. BCURVCF\ECÕN J\LURVHA BL AH BCILVLNECH BL [VG[GVECGNLU Ulh P8, P6,..., Pn8 unh julstrh halhtgrch lxtrhêbh bl unh pgfahecõn Flrnguaac. Ulh P ah vh vhrrchfal rgpgre recõ cõn n Fcngjcha blicncbh egjg la nýjlrg bl ãxctgs ln lsth julstrh y egn phrèjltrg   ϋ8, prgpg pgfahe pgfa hecg cgnh nhaa bl ãx ãxct ctgs gs.. Ul Ulh h S8, S6,. ,... ..,, Sn6 un unh h ju juls lstr trh h ha halh lhtg tgrc rch h lx lxtr trhê hêbh bh bl un unh h pg pgfa fahe hecõ cõn n Fl Flrn rngu guaa aac. c. Ulh S ah vhrchfal Fcngjcha blicncbh egjg la nýjlrg bl ãxctgs ln lsth julstrh y tgjljgs h   ϋ6 egjg eg jg ah pr prgp gpgr grec ecõn õn bl ãx ãxct ctgs gs ln ls lsth th gtrh gtrh pg pgfa fahe hecõ cõn. n. n6>5;

n8>5;





  ∖  ~   ∖  ,

   8 ∖  

+

   8 ∖  

 

BCURVCF\ECÕN J\LURVHA BL AH BCILVLNECH BL [VG[GVECGNLU Uupgndhjgs qul hjfhs julstrhs sgn cnblplnbclntls. Uc p y p sgn ags 6 lstthb ls hbêêstcegs juã uãs strhal hals y blic licncj ncjgs h p8-p6 egj gjg g la ls lsttcjhbg bgrr bl 8ah bcilr cilrl lne necch bl lntg tgne nels ls sl bl blfl fl euj ujpa pacr cr qu qul. l. prgpgrec prgp grecgnls gnls pgfa pgfahecg hecgnhal nhals s   ϋ8- ϋ6 ln

Lsthnbhrczhecõn=    :

  ∖   ∖ (  ∖  

   8 ∖     8 ∖  +   

~(;,8

Uc n8 y n6 sgn fhsthntl drhnbls la rhbceha sl ehaeuah ushnbg ags lsthbêstcegs bl ah julstrh? ls blecr, ahs prgpgrecgnls juãstrhals

 

Lmljpag= cndlnclr \n cndln clrg cnbust cnb a qul quh, l trhfhmh trh ln Ehacbhb Eha cnsplee pleecgn hgbuec ah ecbh prbhs prgbue gbueecõn ecõn [letug [lag lagths thsshs fshmg fhmg 6 jèqucn jèq ucnhs hsg]l ]lus usustrch y rcha Ht`ln Ht `lnh, ]lfhmh ]luz uz pg pgr r ehbh ehb hcbhb 8;;cns plagth pla gths scgnh prgbu pr s 8< sgnbl sgn bli blilet ugsh y ln Ht Ht`l `lnh nh 0 bl ehbh ehbh 8; 8;; ; sgn bli blile letug tugsh shs s sc la cndln cndlncl clrg rg cn cnbus bustrc trcha ha lacd lacdl l ha hzhr hzhr 0; 0; plagths plag ths prg prgbuec buecbhs bhs pgr ]lus y 8;; 8;; prg prgbuec buecbgs bgs pgr Ht`l Ht`lnh. nh. @ha @haahr ahr ah prgf prgfhfca hfcacbh cbhb b bl qul ah prg prgpgr pgrec ecõn õn bl bli blilet letug ugsg sgs s bl ah ah julst julstrh rh bl ]luz ]luz su suplr plrl l h ah bl Ht Ht`ln `lnh h ln jh jhs s bl 9%

 

BCURVCF\ECÕN J\LURVHA BL AH BCILVLNECH BL [VG[GVECGNLU Ugauecõn=  = [rg [rgpgr pgrecõ ecõn n bl plagt plagths hs blilet bliletugs ugshs hs bl ah Jè Jèqu qucnh cnh ]lus ]lus

Bhtgs [gfahecõn

 

Bhtgs Julstrh

 = [rgp [rgpgrec grecõn õn bl plag plagths ths bli bliletug letugshs shs bl ah Jèq Jèqucnh ucnh Ht` Ht`lnh lnh  Ht`lnh

]lus 

  :

8<

8;;   : ;.8<

[cbln=

  :

8;;   : ;.;0

(  ∖   > ;.;9 Lsthnbhrczhjgs=



  ∖   ∖ (  ∖  (  ∖   

>

   8 ∖  +    8 ∖    

;.;9 ∖ ;.;9  ∖ (;.8< ∖ ;.;0 ;.8< 8 ∖ ;.8<   + ;.;0 8 ∖ ;.;0 0; 8;;





 > ∖;,68

[rgpclbhb=  

8 ∖   ≢ ∖; ∖;,6 ,68 8 : 8 ∖ ;.28905 : ;. ; auldg= [H > [F [ H - [F 1 ; auldg= [H 1 [F Ng sl pulbl blecr qul unh slh s lh jhygr qul ah gtrh, auldg= [H : [F

 

LMLJ[AG 8 Egn ah icnhacbhb bl egjphrhr ah prgpgrecõn bl ihjcachs qul egnsujln rlduahrjlntl   ‑q-egah‚ (jès bl trls actrgs pgr sljhnh) ln bgs bcstrctgs bl Acjh Jltrgpgacthnh, sl `h slaleecgnhbg halhtgrchjlntl, ln un bêh, 0< ihjcachs bla bcstrctg H y 8;; ihjcachs bla bcstrctg F, y sl rldcstrõ la nýjlrg bl ihjcachs qul egns eg nsuj ujêh êhn n rl rldu duah ahrj rjln lntl tl qq-eg egah ah.. Ag Ags s bh bhtg tgs s sl rl rlsu sujl jln n h eg egnt ntcn cnuh uhec ecõn õn== Nýjlrg bl ihjcachs qul Nýjlrg bl ihjcachs Bcstrctg egnsujln rlduahrjlntl lneulsthbhs ‑q-egah‚  H F

0< 8;;

5; 60

• Egn un ncvla bl egnichnzh bla 3;%, ·lsth bcilrlnech qul gfslrvhjgs lntrl ags

bgs bcstrctgs pubclrh slr nuah7

Bhtgs/Gfslrvhecgnls  

UGA\ECÕN    8 ∖     ∖    : (  ∖   ¸  ↖    :

5; 0<

  : ;.5