Indlela ukufumana ulwalathiso nxantathu. Siqala nge elula

Triangle - umzobo zejometri, equka amanqaku amathathu, ke, zibizwa ngokuba eziphezulu, ababesona oxhulumene kwi series phakathi ziqwempu. Ezi ziqwempu ibizwa ngokuba emacaleni nxantathu. Kukho ezininzi iintlobo zoonxantathu, ezizezi:

1. Le ubukhulu engile:

- obtuse (xa omnye engile ungaphezu alithoba-degree umlinganiselo degree);

- uxande (xa omnye engile yi izidanga alithoba);

- yondele-engile egqithe (apho onke engile kufuneka gradusnuju umlinganiselo izidanga ngaphantsi kweentsuku ezingamashumi alithoba).

2. Xa inani amacala alingane:

- enemisebenzi (macala onke zahluke ubukhulu);

- isosceles (macala amabini alinganayo);

- alinganayo (macala bonke ubude ngokulinganayo).

Worth ukuphawula kukuba iqondo sum amanyathelo engile kwi unxantathu kusoloko degrees 180, kungakhathaliseki uhlobo shape ngokwayo. Ngoko ke, nakwiimbombo unxantathu alinganayo, leyo balala isiseko, basoloko ngokulinganayo. Yaye unxantathu alinganayo , engile nganye kanye ezingamashumi degrees. Le Unxantathu angled search engile elaneleyo ukuba kude asithoba degrees eyaziwa-engile. Baya kwazi bonke isidanga amanyathelo.

Ulwazi yokulinganisa iqondo angela usoloko unika impendulo yombuzo yokufumana indlela icala kanxantathu. Cinga yonke imizekelo unxantathu ekunene, njengoko ubhetyebhetye ngakumbi. Ukongeza, oonxantathu alinganayo kunye isosceles kube lula zimelwe ngohlobo ezimbini buxande, kodwa ngaloo kamva.

Le milinganiselo kakhulu degree akonelanga. Kwakudingeka kuphela ukuze bakwazi ukubala ngoyena netrigonometri, ezizezi:

Isono - lulwahlulo umlenze omelene hypotenuse, eKosi - lulwahlulo umlenze sakhangelana hypotenuse, Tg - lulwahlulo umlenze ezikufutshane olungaphesheya, Ctg - lulwahlulo umlenze sakhangelana ezikufutshane.

Ngoko ke, ukuze sifumane indlela icala kanxantathu sokunene? Ukwazi ulwalamano, ungasebenzisa i theorem of sines, leyo ifundeka ngolu hlobo lulandelayo: elinye icala bobabo i sine ye-engile kwakunye elinye iqela usebenza sine ye-engile omnye, yaye umntu wesithathu unalo aspect ratio enye i sine ye ekujikeni, kwakunye ezimbini ezidlulileyo.

Njengoko kubonakala theorem yolwazi sines akwanelanga. Kuyimfuneko ukwazi umlinganiselo ebudeni icala ubuncinane enye. Ke ukufumana indlela icala unxantathu, oko akuthethi ukuba nzima kakhulu. Okanye kukho enye indlela. Okanye i cosine ye malunga ukufumana enye imilenze unxantathu, lo hypotenuse kufuneka liphindaphindwe sine okanye ikona okufuphi. kwicala Ukubaluleka akatshintshi.

Ukongeza, kuyenzeka ukuba usebenzise zonke theorem kaPythagoras ezaziwayo, nto leyo inika: isikweri hypotenuse ilingana udibaniso lwezikweri elinye macala mabini. Apha, ukwazi iiseha ezimbini emacaleni, unako lula ukubona ixabiso lesithathu.

Kukho theorem indlela yokufumana icala kanxantathu. Cosine theorem: umlinganiselo ubude icala lilingana ukuya ingcambu ye udibaniso lwezikweri amanye amacala amabini ngaphandle imveliso kabini kula macala, leyo ke yona liphindaphindwe i cosine ye-engile ephakathi kwabo.

Nendlela yokufumana ulwalathiso unxantathu isosceles? Apho unalo ilungelo lokuba khona yonke imigaqo efanayo kunye theorem ukuba ngenxa buxande, kodwa kukho ezinye bokuqonda.

Okokuqala kufuneka ukuthoba ukuphakama isiseko nxantathu. Ngenxa yoko, sifumana unxantathu ezimbini twatse buxande, yaye oko kuya kusebenza ngaphambili bafunda ubunakho. Indlela ukufumana ulwalathiso nxantathu? Sifumana kunye hypotenuse, kunye nomlenze ezimbini. Ukuba sifumanisa ukuba hypotenuse, ngoko kakade macala omabini kanxantathu. Ukuba, ke, safumana umlenze, nto leyo eziphakamileyo, ngoko xa phinda ngo amabini, siya ukufumana ixabiso lesithathu.

Kudla kukho iingxaki xa namnye amaqela lunganikelwanga. Kule meko kuyimfuneko ukwazisa ethile X ongaziwayo, uze uqhubeke ujonga macala onke, kodwa ukunikela ingqalelo replacement hlobo.