Cosine theorem kanye nobufakazi yayo

Ngamunye wethu eziningi amahora esichithwa ikhambi inkinga geometry. Yiqiniso, umbuzo ophakamayo, kungani kudingeka ufunde izibalo? Udaba kuqondene kakhulu izibalo zama-engela, lapho kunikezwa khona ulwazi iza Ukugunda uma, kuyinto engavamile kakhulu. Kodwa zezibalo aphoyintimenti bese labo abayi abe umsebenzi ka sciences ngqo. Kubangela umuntu ukusebenza nokuthuthukisa.

Injongo yokuqala wezibalo awuzange unikeza abafundi ulwazi ngale ndaba. Othisha ihlose ukufundisa izingane lokucabanga, ukuzindla, ahlahlele abuye phikisana. Yilokhu sithola geometry, nge axioms yayo eminingi futhi theorems, corollaries, futhi bonakaliso.

Theorem ka cosines

Kanye imisebenzi Trigonometric ne-Aljibhra nokungalingani sebeqala ukuhlola amakhona value abo futhi ngithola. Cosine theorem ingenye ifomula kuqala, okuyinto uxhuma ekuqondeni zombili umfundi wesayensi zezibalo.

Ukuze uthole isandla ngakolunye ezimbili futhi igebe eliphakathi isicelo cosine theorem. Ukuze calantsatfu engela kwesokudla futhi sizobe basondele theorem kaPythagoras, kodwa uma sikhuluma i sibalo kabi amandla akhe, lapho isetshenziswa akukwazi.

Cosine theorem kanje:

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

Enye uhlangothi lesikwele ilingana nenani lezinombolo of the nezinye izinhlangothi ezimbili, ethathwe sikwele, lokususa umkhiqizo wabo iyanda yi emibili cosine ye-engeli ezakhiwe ngazo.

Uma ubuka eduze ngaphezulu, kule formula kuyinto okusikhumbuza theorem kaPythagoras. Ngempela, uma sithatha igebe eliphakathi imilenze 90, ukubaluleka cosine salo 0. Ngenxa yalokho, kuzoba kuphela isamba izigcawu the izinhlangothi, njengoba kubonakala theorem kaPythagoras.

Cosine theorem: Ubufakazi

Kule nkulumo Singaphetha ngokuthini ifomula AC ² bese:

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

Ngakho, siyabona ukuthi inkulumo oluhambisana ifomula ngenhla, liwubufakazi iqiniso layo. Singasho ukuthi theorem cosine lawo. Isetshenziselwa zonke izinhlobo onxantathu.

ukusetshenziswa

Ngaphezu izifundo mathematics ne-physics, lokhu theorem kabanzi lisetshenziswe izakhiwo kanye nokwakhiwa, ukubala izinhlangothi kudingeka nama-engeli. Ngosizo lwawo ukucacisa usayizi edingekayo kanye nenani izakhi ukwakhiwa ayadingeka ukuze wakhiwe. Yiqiniso, iningi izinqubo ngaphambilini obekudinga oqondile ukuzibandakanya nolwazi lomuntu kuthiwa ezenzakalelayo namuhla. Kukhona izinhlelo amaningi akuvumela kukhombisa imisebenzi enjalo kukhompyutha. izinhlelo lwabo nalo eyenziwa nazo zonke zezibalo imithetho, izakhiwo kanye namafomula.

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