Cosine theorem nobungqina balo

Ngamnye kuthi kakhulu iiyure echithwe ngesisombululo ingxaki of geometry. Kakade ke, umbuzo othi, kutheni kufuneka bafunde izibalo? Umba Ifanele ingakumbi ukuba geometry, apho ulwazi luza sibe luncedo ukuba, inqabile kakhulu. Kodwa zezibalo babe idinga yaye abo baza kuba umsebenzi yeeSayensi ngqo. Oku kunokubangela ukuba umntu ukusebenza nokuphuhlisa.

Injongo yokuqala kwimathematika zange anikwe ulwazi abafundi ngalo mbandela. Ootitshala ijolise ukufundisa abantwana ukuba bacinge, ukuqiqa, ukuhlalutya bexabana. Le nto sifumanisa geometry, kunye elikuwo zayo eliqela theorems, corollaries, kunye nobungqina.

Le theorem of cosines

Kunye kunye netrigonometri kunye nokungalingani algebra aqalile ukuhlola emasondweni zexabiso babo uhlobana. Cosine theorem yenye indlela yokuqala, edityaniswe ekuqondeni omabini umfundi isayensi yezibalo.

Ukuze ufumane isandla kwezinye ezimbini kwaye engile ephakathi i cosine theorem isicelo. Kuba unxantathu kunye esinekona sasekunene kwaye siya sisondela theorem kaPythagoras, kodwa ke xa sithetha malunga nani ngendlela engaqondakaliyo, lisetyenziswa ayikwazi ukuba.

Cosine theorem ngolu hlobo lulandelayo:

AC ² = AB ² + BC ² - 2 * AB * BC * cos

Elinye icala isikwere lilingana sum of ezinye macala mabini, ubanjisiwe yembutho, thabatha imveliso kwabo liphindaphindwe amabini kwaye i cosine ye angela ngabo.

Ukuba ujonga ngokusondeleyo ngakumbi, lo ifomyula embhoxo theorem kaPythagoras. Eneneni, ukuba singathatha engile ephakathi imilenze 90, ixabiso cosine layo ngu 0. Ngenxa yoko, kuya kubakho kuphela udibaniso lwezikweri emacaleni, nto leyo kubonakala theorem kaPythagoras.

Cosine theorem: Ubungqina

Ukusuka eli binzana lisenza ifomula AC ² singafumana oku kulandelayo:

AC ² = BC ² + AB ² - 2 * AB * BC * cos

Ngenxa yoko, siyabona ukuba binzana olungqamana wokubala ngasentla, womyoleli inyaniso yayo. Sinokuthi ukuba theorem cosine kwaba. Oku kusetyenziswa kuzo zonke iintlobo koonxantathu.

ukusetyenziswa

Ukongeza izifundo zemathematika kunye physics, le theorem sisetyenziswa ngokubanzi bokwakha kunye nolwakhiwo, ukubala emacaleni eziyimfuneko kunye engile. Ngoncedo lwawo ukuqinisekisa ubungakanani kunye nenani izinto ze zokwakha ezifunekayo ukuze kwakhiwe zalo ezifunekayo. Kakade ke, uninzi iinkqubo ngaphambili efunekayo inxaxheba ngqo oluntu kunye nokwazi ezenzekelayo namhlanje. Kukho iinkqubo ezininzi ezikuvumela kukhombisa iiprojekthi kwi-computer. zokuhlela lwabo kwakhona kwenziwa yonke imithetho zemathematika, iimpawu kunye neefomula.

D