Page 70 - Demo

64ZBATIMK%u00ebndet dhe shum%u00ebk%u00ebnd%u00ebshat3.5SHEMBULLNj%u00eb shum%u00ebk%u00ebnd%u00ebsh i rregullt i ka k%u00ebndet e brendshme me madh%u00ebsi 156%u00b0. Sa brinj%u00eb ka shum%u00ebk%u00ebnd%u00ebshi?2Gjeni k%u00ebndin e jasht%u00ebm.K%u00ebndi i jasht%u00ebm: 180%u00b0 -156%u00b0 = 24%u00b0 Jan%u00eb k%u00ebnde shtuese.3P%u00ebr nj%u00eb shum%u00ebk%u00ebnd%u00ebsh t%u00eb rregullt, k%u00ebndi i jasht%u00ebm: 360%u00b0 : n.Numri i k%u00ebndeve t%u00eb jashtme: 360%u00b0 : 24%u00b0 = 15. Shum%u00ebk%u00ebnd%u00ebshi ka 15 brinj%u00eb. Numri i brinj%u00ebve %u00ebsht%u00eb i barabart%u00eb me numrin e k%u00ebndeve.K%u00ebndet e shum%u00ebk%u00ebnd%u00ebshavek%u00ebndi i jasht%u00ebmbrinja e shum%u00ebk%u00ebnd%u00ebshit156%u00b01SHEMBULLa Shpjegoni pse nj%u00eb mozaik nuk mund t%u00eb nd%u00ebrtohet vet%u00ebm me dymb%u00ebdhjet%u00ebk%u00ebnd%u00ebsha t%u00eb rregullt. b Shpjegoni pse nj%u00eb mozaik i till%u00eb mund t%u00eb nd%u00ebrtohet duke shtuar trek%u00ebnd%u00ebsha barabrinj%u00ebs.a2Shum%u00ebk%u00ebnd%u00ebshat formojn%u00eb mozaik kur shuma e k%u00ebndeve, ku ata takohen, %u00ebsht%u00eb 360%u00b0. Gjeni k%u00ebndin e brendsh%u00ebm t%u00eb shum%u00ebk%u00ebnd%u00ebshit.3 K%u00ebndi i jasht%u00ebm = 360%u00b0 : 12 = 30%u00b0 Shuma e k%u00ebndeve t%u00eb jashtme = 360%u00b0. K%u00ebndi i brendsh%u00ebm = 180%u00b0 %u2013 30%u00b0 = 150%u00b0 K%u00ebnde shtuese. Shuma e dy k%u00ebndeve t%u00eb brendshme = 300%u00b0< 360%u00b0 Shuma e tri k%u00ebndeve t%u00eb brendshme = 450%u00b0 > 360%u00b0 Shum%u00ebk%u00ebnd%u00ebshat nuk puthiten plot%u00ebsisht me nj%u00ebri-tjetrin. Ata nuk mund ta mbulojn%u00eb t%u00eb gjith%u00eb sip%u00ebrfaqen (nuk formojn%u00eb mozaik).b 3 %u00c7do k%u00ebnd n%u00eb trek%u00ebnd%u00ebshin barabrinj%u00ebs %u00ebsht%u00eb 60%u00b0. 300%u00b0 + 60%u00b0 = 360%u00b0. Dy dymb%u00ebdhjet%u00ebk%u00ebnd%u00ebsha t%u00eb rregullt dhe nj%u00eb trek%u00ebnd%u00ebsh barabrinj%u00ebs do t%u00eb puthiteshin n%u00eb nj%u00eb pik%u00eb. N%u00eb qoft%u00eb se brinj%u00ebt jan%u00eb t%u00eb s%u00eb nj%u00ebjt%u00ebs gjat%u00ebsi, at%u00ebher%u00eb ata do t%u00eb formojn%u00eb mozaik.k%u00ebndi i brendsh%u00ebm k%u00ebndi i jasht%u00ebm1KUJTONIShuma e k%u00ebndeve t%u00eb jashtme e %u00e7do shum%u00ebk%u00ebnd%u00ebshi %u00ebsht%u00eb 360%u00b0.Shuma e k%u00ebndeve t%u00eb brendshme t%u00eb nj%u00eb shum%u00ebk%u00ebnd%u00ebshi me n brinj%u00eb jepet me formul%u00ebn: S = (n - 2) %u00d7 180%u00b0.K%u00ebndi i brendsh%u00ebm + k%u00ebndi i jasht%u00ebm = 180%u00b0.HAPATSi t%u00eb zgjidhim nj%u00eb problem%u00eb me shum%u00ebk%u00ebnd%u00ebsha:1 Vizatoni figur%u00ebn (n%u00eb qoft%u00eb se %u00ebsht%u00eb e nevojshme).2 Gjykoni n%u00ebse duhet p%u00ebrdorur shuma e k%u00ebndeve t%u00eb brendshme apo e k%u00ebndeve t%u00eb jashtme.3Gjeni p%u00ebrgjigjen.Dizajnerat mund t%u00eb krijojn%u00eb dhe t%u00eb p%u00ebrpunojn%u00eb modele t%u00eb nd%u00ebrlikuara duke p%u00ebrdorur shum%u00ebk%u00ebnd%u00ebshat.Mozaiku b%u00ebhet me cop%u00ebza shum%u00ebngjyr%u00ebshe guri, mermeri etj., t%u00eb cilat vendosen e ngjiten nj%u00ebra pran%u00eb tjetr%u00ebs mbi nj%u00eb sip%u00ebrfaqe, duke e mbuluar plot%u00ebsisht at%u00eb, pa l%u00ebn%u00eb hap%u00ebsira boshe dhe pa u mbivendosur.%u00a0Shuma e k%u00ebndeve t%u00eb brendshme: 10 %u00d7 180%u00b0 = 1800%u00b0%u00c7do k%u00ebnd i brendsh%u00ebm: 1800%u00b0 : 12 = 150%u00b0