Incazelo kanye nezakhiwo ze-median kanxantathu

Kulesi sihloko, sizocubungula incazelo ye-median kanxantathu, sibhale izici zayo, futhi sihlaziye izibonelo zokuxazulula izinkinga ukuhlanganisa izinto ezicatshangelwayo.

Okuqukethwe

Incazelo ye-median kanxantathu

Median ingxenye yomugqa ehlanganisa i-vertex kanxantathu nendawo emaphakathi yohlangothi olubhekene naleyo vertex.

  • BF iyimidiyeni edwetshelwe eceleni AC.
  • AF = FC

Incazelo kanye nezakhiwo ze-median kanxantathu

Isisekelo se-median – iphuzu lokuphambana kwe-median nohlangothi lukanxantathu, ngamanye amazwi, indawo emaphakathi yalolu hlangothi (iphuzu F).

izakhiwo ezimaphakathi

Indawo 1 (eyinhloko)

Ngoba Uma unxantathu unezihlava ezintathu nezinhlangothi ezintathu, khona-ke kukhona ama-medians amathathu, ngokulandelana. Bonke bayaphambana ngesikhathi esisodwaO), okuthiwa i-centroid or isikhungo samandla adonsela phansi sikanxantathu.

Incazelo kanye nezakhiwo ze-median kanxantathu

Lapho kuhlangana khona ama-medians, ngalinye lihlukaniswe ngesilinganiso esingu-2: 1, kubalwa ukusuka phezulu. Labo.:

  • AO = 2OE
  • BO = 2OF
  • CO = 2OD

Impahla 2

I-median ihlukanisa unxantathu ngonxantathu aba-2 bendawo elinganayo.

Incazelo kanye nezakhiwo ze-median kanxantathu

S1 =S2

Impahla 3

Imidiyeni emithathu ihlukanisa unxantathu ube ngonxantathu abayisi-6 bendawo elinganayo.

Incazelo kanye nezakhiwo ze-median kanxantathu

S1 =S2 =S3 =S4 =S5 =S6

Impahla 4

I-median encane kunazo zonke ihambisana nohlangothi olukhulu lukanxantathu, futhi ngokuphambene nalokho.

Incazelo kanye nezakhiwo ze-median kanxantathu

  • AC iwuhlangothi olude kunawo wonke, yingakho imidiyeni BF – emfushane kakhulu.
  • AB iwuhlangothi olufushane kakhulu, yingakho imidiyeni CD – ende kunazo zonke.

Impahla 5

Ake sithi siyazazi zonke izinhlangothi zikanxantathu (ake sizithathe njenge a, b и c).

Incazelo kanye nezakhiwo ze-median kanxantathu

ubude obumaphakathi maedonseleka eceleni a, ingatholwa ngefomula:

Incazelo kanye nezakhiwo ze-median kanxantathu

Izibonelo zemisebenzi

Umsebenzi 1

Indawo yesinye sezibalo ezakhiwe ngenxa yokuphambana kwama-medians amathathu kunxantathu ingu-5 cm.2. Thola indawo kanxantathu.

Isixazululo

Ngokusho kwempahla 3, okuxoxwe ngayo ngenhla, ngenxa yokuphambana kwama-medians amathathu, onxantathu abangu-6 bakhiwa, abalingana nendawo. Ngenxa yalokho:

S△ = 5cm2 ⋅ 6 = 30 cm2.

Umsebenzi 2

Izinhlangothi zikanxantathu ziyi-6, 8 kanye no-10 cm. Thola i-median edwetshwe ohlangothini enobude obungu-6 cm.

Isixazululo

Masisebenzise ifomula enikezwe esakhiweni sesi-5:

Incazelo kanye nezakhiwo ze-median kanxantathu

shiya impendulo