Cosine theorem no chacho uchapupu

Mumwe nemumwe wedu zvakawanda maawa akapedzerwa pamusoro mhinduro imwe dambudziko geometry. Chokwadi, mubvunzo unomuka, seiko unofanira kudzidza yemasvomhu? Nyaya iri kunyanya kushanda nokuda geometry, apo ruzivo anouya batsira kana, kashoma chaizvo. Asi mathematicians waari uye nevaya vasiri kuenda kuva mushandi sciences chaiwo. Zvinoita munhu kushanda uye kukudziridza.

Chinangwa masvomhu chepakutanga haana kupa vadzidzi ruzivo nezvenyaya yacho. Vadzidzisi ndehwokuti kudzidzisa vana kufunga, kufunga, ongorora uye nharo. Izvi ndizvo zvatinowana muna geometry, dzayo vakawanda axioms uye theorems, corollaries, uye uchapupu.

The theorem no kuti cosines

Pamwe chete trigonometric mashandiro uye nemasvomhu Misiyano vari kutanga kuongorora kumakona kukosha kwavo uye kuwanikwa. Cosine theorem no mumwe wokutanga payakavakirwa, izvo richibatanidza pakunzwisisa mativi mboni kwemasvomhu nesayenzi.

Kuti tiwane ruoko rumwe maviri, kundosvikazve pakona pakati rakaiswa cosine theorem no. Nokuti netriangle ane kodzero angled uye tichava pedyo Pythagorean theorem no, asi kana tiri kutaura pamusoro zvemasanga nhamba iri rinoshandisirwa hazvigoneki.

Cosine theorem no sezvinotevera:

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

Rumwe mativi akaenzana Verengai mamwe mativi maviri, kubatwa square, kubvisa chigadzirwa yavo zvikawanda vaviri uye cosine iri pakona kuumbwa navo.

Kana ukatarira kunyatsotevera, nzira iri zvakafananidzirwa Pythagorean theorem no. Zvechokwadi, kana tichida kutora pakona pakati makumbo 90, kukosha kwayo cosine ndiyo 0. Somugumisiro, kuchava chete vakaverenga dzinoungana mativi, izvo zvinoratidzwa Pythagorean theorem no.

Cosine theorem no: Zvinoratidza

Kubva aya isu kuona kuti nzira AC ² uye kuwana:

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

Saka, tinoona kuti mashoko okuti rinoenderana pamusoro payakavakirwa, testamendi kuti chokwadi chacho. Tinogona kutaura kuti cosine theorem no zvakaratidza. Rinoshandiswa zvose zvamarudzi zvokuridza.

kushandiswa

Kuwedzera zvidzidzo zviri masvomhu uye wefizikisi, theorem no iyi zvinowanzoshandiswa mapurani uye kuvaka, kuverenga zvakafanira mativi uye pamakona. Uchibatsirwa kwayo kuona inodiwa kukura uye nhamba nezvinhu okuvaka kuti zvinodiwa ayo kuvaka. Zvechokwadi, vakawanda kwemasayendisiti kuti kare zvaida munhu kubatanidzwa zvakananga uye nokuziva zvoga nhasi. Kune mapurogiramu zhinji inokubvumirai zvinoedza zvirongwa zvakadaro pakombiyuta. zvirongwa zvavo chiri kuitwa vose kwemasvomhu mitemo, zvivako uye Masvomhu.

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