Indlela yokuthola isiqondiso unxantathu. Siqala elula

Triangle - sibalo Jomethri, esakhiwa amaphuzu amathathu, esikhundleni salokho, bebizwa vertices wherein they axhunyiwe ochungechungeni phakathi izingxenye. Lezi izingxenye abizwa ngokuthi ezinhlangothini unxantathu. Kunezinhlobo eziningana izinhlobo onxantathu, okuyilezi:

1. ubukhulu engeli:

- obtuse (lapho omunye engeli ingaphezu ayisishiyagalolunye degree isilinganiso degrees);

- wamaqhuqhuva (lapho omunye engeli Izinga ayisishiyagalolunye);

- acute-angled (lapho tonkhe babe gradusnuju ukukala degrees esingaphansi ayisishiyagalolunye).

2. ngu inani amacala alingane:

- enemisebenzi (zonke izinhlangothi kuhluke ngobukhulu);

- isosceles (izinhlangothi ezimbili zilingane);

- equilateral (zonke izinhlangothi kufanele obuphelele alinganayo).

Uzinake Kuyaphawuleka ukuthi isamba degree engela izinyathelo ngendlela unxantathu uhlale 180 degrees, kungakhathaliseki uhlobo ukuma uqobo. Ngakho, e-amakhona unxantathu equilateral, okuyinto amanga ngasesinqeni, zihlale alinganayo. Futhi unxantathu equilateral , engela ngayinye has ncamashi ayisithupha degrees. I unxantathu yomumo yokusesha engela eyanele ukuthatha kude degrees ayisishiyagalolunye engela ezaziwayo. Bayakwazi zonke izinyathelo degree.

Ulwazi degree isilinganiso ye-engeli njalo unikeza impendulo yombuzo kanjani ukuthola ohlangothini unxantathu. Cabanga zonke izibonelo unxantathu kwesokudla, njengoba kuba ezihlukahlukene. Ngaphezu kwalokho, onxantathu equilateral futhi isosceles kungenziwa kalula amelwe ngendlela ezimbili wamaqhuqhuva, kodwa okwengeziwe ukuthi kamuva.

Izinyathelo degree kakhulu azanele. Yena kuphela edingekayo ukuze bakwazi ukubala okungu Trigonometric, okuyilezi:

Sin - isilinganiso umlenze eseduze hypotenuse, Cos - isilinganiso umlenze okuphambene kuya hypotenuse, Tg - isilinganiso umlenze ezakhelene okuphambene, Ctg - isilinganiso umlenze okuphambene kuya eduze.

Ngakho, indlela ukuthola uhlangothi unxantathu kwesokudla? Ukwazi ubudlelwane, ungasebenzisa theorem Sines, esifundeka kanje: uhlangothi kungokwalabo sine ye-engeli kanye nezinye party kusebenza sine ye-engeli komunye, futhi inkampani yangaphandle has okufanayo-aspect ratio kanye sine ye-engeli, kanye odlule ezimbili.

Njengoba singabona kusukela theorem yolwazi Sines akwanele. Kuyadingeka ukwazi ngesilinganiso ubude okungenani uhlangothi. Khona-ke ungathola kanjani ohlangothini unxantathu, ke akakubangeli nobunzima kakhulu. Noma kukhona okunye okukhethwa kukho. Noma nge-cosine okuphambene ukuthola omunye imilenze unxantathu, le hypotenuse kufuneka iphindaphindwe sine noma ekhoneni eduze. Lokho Okushiwo ohlangothini akashintshi.

Ngaphezu kwalokho, kungenzeka ukusebenzisa zonke theorem kaPythagoras eyaziwa, nakho inikeza: esigcawini hypotenuse lilingana isamba izigcawu the nezinye izinhlangothi ezimbili. Lapha, ukwazi izinyathelo ezimbili ezinhlangothini, ungakwazi kalula ukunquma ukubaluleka eyesithathu.

Kukhona theorem zendlela yokuthola ohlangothini unxantathu. Cosine theorem: elithile obuphelele ohlangothini ilingana empandeni square yesamba izigcawu the nezinye izinhlangothi ezimbili ngaphandle umkhiqizo double yalezi izinhlangothi, okuyizinto ithuba iphindwe cosine ye-engeli phakathi kwazo.

Futhi indlela yokuthola isiqondiso unxantathu isosceles? Lapho Unelungelo khona zonke izimiso ezifanayo futhi theorem ukuthi ngenxa elingunxande, kodwa kukhona ezinye umehluko wemisindo nemiqondo yamagama.

Okokuqala udinga ukwehlisa ukuphakama base unxantathu. Ngakho, sithola ezimbili ezifanayo unxantathu unxande, futhi okuzokwenza sebenzisa ngaphambilini wafunda amakhono. Indlela yokuthola isiqondiso unxantathu? Sithola futhi hypotenuse, nomlenze ezimbili. Uma sithola ukuthi hypotenuse ke vele sesiyazi amabili emaceleni calantsatfu. Nokho, uma sathola umlenze, engesiyo okusezingeni eliphezulu ke lapho siphindaphindeka ke ababili, sithola ukubaluleka wesithathu.

Ngokuvamile kukhona izinkinga uma noyedwa amaqembu kunganikezwa. Kulokhu-ke kuyadingeka ukwethula ezinye X engaziwa, futhi uqhubeka ubheke nxazonke, nabakhi bezindawo abanaki imithelela esikhundleni yalolu hlobo.