ExamenUdeA 2010-1 Jornada-3

 

ZRWGBC HG MAEZGXGKM@C NGMXARC Xgxta Wka

Zrgluktcs hg nc 3 c nc 30. ]glùk nc Mae`s`ýk Kcm`akcn hg Xgngmaeuk`mcm`akgs gn kùegra hg cbakchas hg nc tgngoakåc eýv`n fc nnglcha c =< e`nnakgs. Maea pamcs `khustr`cs, àstc nalrý uk mrgm`e`gkta `kmrgåbng hgn 33% hurcktg gn pcscha sgegstrg, crrcsckha c su pcsa c nchgtgngoakåc o`ic,(hgmrgm`e`gkta qug qughc rgnglchc c cpgkcs 6 e`nnakgs susmr`ptargs hgn :,8=%). Mrugn `rakåc9 gk uk pcås gk gn qug  ”sglùk  ”sglùk gn Åkh`mg hg Hgscrranna Fuecka egh`ha par gn ZKWH ” ZKWH ”   22 e`nnakgs hg pgrsakcs v`vgk bcia nc nåkgc hg pabrgzc (mak has e`n pgsas cn håc), gn 66% hg nc pabncm`ýk, gk mceb`a, t`gkg cmmgsa c uk tgnàoaka mgnuncr. Gk tckta qug pcrc lcrckt`zcr c mchc pgrsakc gn hgrgmfa cn cluc patcbng sg fc fgmfa kgmgscr`a uk rgogrgkha qug cså na hgmrgtg, gk nas ùnt`eas mctarmg cóas cùk nas eãs fue`nhgs m`uhchckas  ”cscncr`chas  ”cscncr`chas clråmancs, vgkhghargs hg nas sgeãoaras, gepngchcs hgn sgrv`m`a haeàst`ma ”   ”  fck lckcha nc pas`b`n`hch hg cmmghgr c nc tgngoakåc eýv`n gk oarec mchc vgz eãs gxpgh`tc y bcrctc. Gn kùegra hg usucr`as hg gstc tgmkanalåc supgrc gk h`gz e`nnakgs gn hg m`uhchckas y cn hg pgrsakcs gk mcpcm`hch hg trcbcicr. Xck cmgngrchc ecs`o`mcm`ýk hg gstg crt`nul`a ka sýna gv`hgkm`c su mcpcm`hch hg gxpnatcr nc eãs sgkt`hc kgmgs`hch hg nc sam`cb`n`hch fueckc9 nc maeuk`mcm`ýk, s`ka qug gxf`bg s`k puhargs gn pahgr cvcscnncktg hg ncs kugvcs tgmkanalåcs. Cn t`gepa, kas eugstrc uk ãkluna hgeamrãt`ma hgn egrmcha mcp`tcn`stc. Maea tahc papuncr`zcm`ýk, nc „hgeamrct`zcm`ýk― hg nas mgnuncrgs maepartc sus mastas9 ka fcy cpcrcta tgmkanýl`ma eãs `rrgspgtuasa hg nc pr`vcm`hch, mak ecyar gogmta pgrturbchar sabrg gn sas`gla pgrsakcn y sabrg gn trckqu`na h`smurr`r hg ncs cmt`v`hchgs m`uhchckcs. Ka fcy mgnuncr qug ka rgp`qug `ksangktg ” `ksangktg  ”yy mak quà t`ebrgs ” hurcktg  ” hurcktg gn chcl`a hg uk makm`grta, cn eaegkta hg nc gngvcm`ýk hg nc Ast`c a gk gn pcscig eãs sut`n hg nc makogrgkm`c m`gktåo`mc. Ka fcy hamgktg uk`vgrs`tcr`a qug ka tgklc qug sapartcr nc scn`hc `ktgepgst`vc hg ka egkas hg muctra a m`kma gstuh`cktgs hgn scnýk hg mncsg pcrc ctgkhgr ncs nncechcs qug `klrgsck c sus `epgrt`kgktgs eýv`ngs. P, par supugsta, nc mcn`hch hgn sak`ha sg fc hglrchcha tckta, qug nc vaz fueckc c trcvàs hgn mgnuncr sg pcrgmg eãs b`gk cn egkscig pravgk`gktg hg uk rgeata cstrakcutc. Hg atra ncha, maktrcstckha mak nc rgsgrvc qug s`geprg pratgl`ý cn kùegra tgngoýk`ma hae`m`n`cr`a, hae`m`n`cr`a, gn hgn mgnuncr hgv`ka gk gn eãs pùbn`ma

hg nas hctas pgrsakcngs, kùegra san`m`tcha s`k sakraia par taha gxtrcóa a cpgkcs makam`ha. Mak uk clrcvcktg9 rgspakhgr cn mgnuncr gs uk cmta pgrsakcn g `ktrcksogr`bng, ka hgnglcbng gk sgmrgtcr`cs a cs`stgktgs. Zar taha gsa, tcn vgz tgklc rczýk qu`gk sgktgkm`ý qug nas tgnàoakas eýv`ngs rgprgsgktck uk mcst`la hg nc kcturcngzc cn faebrg par fcbgr àstg mako`cha gxmgs`vcegktg gk nc tgmkanalåc. Xaha gnna s`k maktcr qug nc ecs`o`mcm`ýk hg nc tgngoakåc eýv`n `epakg gn mabra hg nc eãs rglrgs`vc hg ncs tcr`ocs c uk sgrv`m`a qug sg fc tarkcha gsgkm`cn9 gn masta hgn e`kuta hg maeuk`mcm`ýk mrgmg vgrt`l`kascegktg c egh`hc qug h`se`kuyg nc mckt`hch hg nas qug pughgk maeprcrsg. Ceàk hg qug ka apgrck cquå nas subs`h`as y maepgkscm`akgs qug nc ngy fcbåc atarlcha c nc tgngoakåc o`ic hg nas gstrctas 3, 2 y =. O`kcnegktg, mcbg prgluktcr9 ±ka hgbgråck ncs gkmugstcs tgngoýk`mcs rgmurr`r eãs b`gk c nas mgnuncrgs1 ±Gstcrãk prýx`eas c pubn`mcrsg nas h`rgmtar`as hg tgnàoakas eýv`ngs1 3.  Gn chigt`va gxpgh`tc (sglukha pãrrcoa) sg pughg

rggepnczcr par9  C. C.   B. B.   M. M.   H. H.  

Ãl`n Lrct`s Akgrasc N`brg

2.  Nc cprgm`cm`ýk sglùk nc mucn nc mcn`hch hgn sak`ha sg fc hglrchcha tckta hgbg taecrsg maea ukc9 

C. C.   B. B.   M. M.   H. H.  

Zas`b`n`hch Ap`k`ýk Mgrtgzc Zrabcb`n`hch

=.  Hgn tgxta sg `ko`grg qug gk Manaeb`c nc mckt`hch hg pgrsakcs gk mcpcm`hch hg trcbcicr gs9 

C. C.   B. B.   M. M.   H. H.  

2< e`nnakgs =< e`nnakgs 3< e`nnakgs 8< e`nnakgs

8.  ]glùk gn tgxta, gk Manaeb`c v`vgk bcia nc nåkgc hg pabrgzc9 

C. C.   32 e`nnakgs B. B.   =2 e`nnakgs M. 22e`nnakgs H. H.   82 e`nnakgs

 

7.  Nc `rakåc c nc qug fcmg cnus`ýk gn tgxta gs qug hg9  

C.  C.  Wkc pabncm`ýk hg 82 e`nnakgs, =< tgklck mgnuncr B.  B.  Nas =< e`nnakgs hg usucr`as mak mgnuncr, 22 2 2 v`vck gk nc nåkgc hg pabrgzc M.  M.  Nas =< e`nnakgs hg usucr`as, sýna 6 e`nnakgs sgck susmr`ptargs hg tgngoakåc o`ic H.  Wkc pabncm`ýk hg 82 e`nnakgs, 6 tgklck tgnàoaka o`ia ?.  Nc pas`b`n`hch hg qug cnlu`gk cpclug gspaktãkgcegktg gn mgnuncr gstã gk gn tgxta9  

C.  C.  B.  B.  M.  M.  H. H.  

@epnåm`tc Kglchc Gxpnåm`tc Co`rechc