Indlela yokuthola indawo unxantathu isosceles

Ngezinye izikhathi umbuzo indlela ukuthola indawo unxantathu isosceles, imele hhayi kuphela kubafundi noma abafundi, kodwa ngempela, ukuphila esisebenzayo. Ngokwesibonelo, ngesikhathi kwakhiwa kubalulekile ukuze uqedele olungaphambili lwesonto okuyinto ngaphansi kophahla. Indlela esibala ngayo imali leyo nto esifanele?

Ngokuvamile nge efanayo izinkinga ezibhekene izingcweti ngubani emsebenzini nge indwangu noma isikhumba. Phela, iningi imininingwane ezokwenza dweba out okuyinhloko, kukhona nje uhlobo unxantathu isosceles.

Ngakho, kukhona izindlela ezimbalwa ukukusiza uthole indawo unxantathu isosceles. Eyokuqala - ekubalweni yayo base nobude.

Amakhambi, kudingeka ukwakha ukuzwakala MNP calantsatfu base nokuphakama MN PO. Manje into igcwaliswe ngo umdwebo: kusukela P iphuzu ukudweba umugqa oqondele phansi, kodwa kusukela iphuzu M - umugqa oqondele ukuphakama. Ase ucingo empambana iphuzu Q. Ukuze ufunde indlela yokuthola indawo i isosceles calantsatfu, kumelwe sicabangele kwaphumela quadrilateral MOPQ, lapho lateral uhlangothi unxantathu, siye MP okungukuthi yayo idayagonali.

Siqale ukubonisa ukuthi iyi isikwele. Njengoba sakha-ke thina, siyazi ukuthi amaqembu i-MO futhi OQ kukhona ngokulinganisa. Futhi ingxenye QM futhi OP nazo zifana. Engela emgceni locondzile POM, kungakho engela OPQ, futhi uqondise. Ngenxa yalokho, i-chotyrohugolnik ewumphumela isikwele. Thola endaweni ngeke kube nzima, kuba umkhiqizo PO ku OM. OM - ke okungukuthi kwesigamu phansi unxantathu MPN. Lokho kusho ukuthi endaweni sekwakhiwe konxantathu uyindawo poluproizvedeniyu unxantathu kwesokudla ku kwesisekelo salo.

Isigaba komsebenzi obekwe phambi kwethu yesibili, indlela ukunquma indawo unxantathu, kuwubufakazi yokuthi endaweni isikwele esisitholile uhambelana inikezwe isosceles calantsatfu, okungukuthi, ukuthi endaweni unxantathu futhi base poluproizvedeniyu futhi ukuphakama.

Kwakufana isiqalo unxantathu Pon futhi PMQ. Bobabili elingunxande, kusukela akha engela kwesokudla neyodwa kuzo ukuphakama, futhi angle ilungelo ungaphakathi omunye ekhoneni konxantathu. Hypotenuse wabo abanengxenye unxantathu isosceles, ngaleyo ndlela futhi alinganayo. PO QM namanqina bayalingana kanye izinhlangothi parallel we isikwele. Ngakho, leyo ndawo Pon unxantathu, futhi unxantathu PMQ alinganayo.

Le ndawo we isikwele ilingana endaweni unxantathu QPOM PQM futhi MOP isiyonke. Njengoba ezothatha isikhundla kuqiniswa QPM unxantathu unxantathu Pon, sithola isamba esiwuphiwe ukubonisa theorem unxantathu. Manje siyazi ukuthi ukuthola indawo unxantathu isosceles ngasesinqeni futhi ukuphakama - ukubala poluproizvedenie yabo.

Kodwa ungafunda kanjani ukuthola indawo unxantathu isosceles phansi futhi uhlangothi. theorem ka Pythagoras futhi Gerona: Lapha kukhona ezimbili ongakhetha kukhona. Cabanga isixazululo nokusetshenziswa theorem kaPythagoras. Ngokwesibonelo, ake sithathe unxantathu efanayo isosceles nge ekuphakameni PMN PO.

Ku-unxantathu wesokudla POM MP - hypotenuse. isikwele Its ilingana nenani lezinombolo of izigcawu the PO futhi OM. Njengoba OM - kwesigamu base, okuyinto siyazi ke thina kalula ukuthola OM futhi inombolo yokwakha esigcawini. Nekususa kusuka esigcawini hypotenuse kwaleyo nombolo, siyathola ukuthi yini esigcawini nezinye emlenzeni, okuyinto ukuphakama unxantathu equilateral. Ukuthola impande square umehluko futhi bazi kahle ukuphakama unxantathu wesokudla, ungakwazi yini ukuphendula abantu umsebenzi obekwe phambi kwethu.

Umane uphindaphinde ukuphakama base ulwahlukanise ngesigamu. Kungani ngempela kufanele wenze, We lungisa yokuqala samuntu ubufakazi.

Ngezinye izikhathi udinga ukwenza izibalo ohlangothini futhi ekhoneni. Khona-ke sithola ukuphakama futhi base, usebenzisa formula sine futhi cosine, ngaphinda futhi ngathi, banda, wahlukanise yi ngesigamu.