A cikin wannan ɗaba'ar, za mu yi la'akari da ma'anar, manyan abubuwa, nau'o'in da kuma yiwuwar zaɓuɓɓuka don sashin dala. Bayanin da aka gabatar yana tare da zane-zane na gani don kyakkyawar fahimta.
Ma'anar Dala
dala adadi ne na geometric a sararin samaniya; polyhedron wanda ya ƙunshi tushe da fuskoki na gefe (tare da madaidaicin madaidaicin), adadin wanda ya dogara da adadin kusurwoyi na tushe.
lura: dala lamari ne na musamman.
abubuwan dala
Ga hoton da ke sama:
- Base (quadrangle ABCD) – fuskar siffa wacce ke da polyhedron. Ba ta mallaki saman ba.
- saman dala (ma'ana E) shine abin gama gari na dukkan fuskokin gefe.
- Fuskokin gefe triangles ne waɗanda ke haɗuwa a tsaye. A wajenmu, wannan shine: Babban Sharuɗɗan Saye, AED, BEC и CED.
- Haƙarƙari na gefe - bangarorin fuskokin gefe, ban da waɗanda ke cikin tushe. Wadancan. wannan shine AE, BE, CE и DE.
- Tsawon Pyramid (EF or h) – wani madaidaici ya fado daga saman dala zuwa gindinsa.
- Tsawon fuska (EM) - tsayin triangle, wanda shine gefen gefen adadi. A cikin dala na yau da kullun ana kiran su rashin gaskiya.
- Yankin saman dala shine yankin gindin da dukkan fuskokinsa na gefe. Formula don gano (daidaitaccen adadi), da dala, ana gabatar da su a cikin wallafe-wallafe daban-daban.
Ci gaban dala - adadi da aka samu ta hanyar "yanke" dala, watau lokacin da duk fuskokinsa suka daidaita a cikin jirgin daya daga cikinsu. Don dala na quadrangular na yau da kullun, haɓakawa a cikin jirgin saman tushe shine kamar haka.
lura: wanda aka gabatar a cikin wani littafin daban.
Ra'ayin sashe na dala
1. Sashin diagonal - Jirgin yankan yana wucewa ta saman adadi da diagonal na tushe. Dala mai kusurwa huɗu yana da irin waɗannan sassa guda biyu (ɗaya ga kowane diagonal):
2. Idan jirgin yankan ya yi daidai da gindin dala, sai ya raba shi gida biyu: dala mai kama da haka (ƙidaya daga sama) da dala da aka yanke (ƙidaya daga tushe). Sashen yana da tushe mai kama da polygon.
A cikin wannan hoton:
- pyramids Farashin EABCD и EA1B1C1D1 makamantan haka;
- hudu ABCD и A1B1C1D1 suna kuma kama.
lura: Akwai wasu nau'ikan yanke, amma ba su da yawa.
Nau'in pyramids
- Dala na yau da kullun - tushe na adadi shine polygon na yau da kullum, kuma an ƙaddamar da ƙarshensa zuwa tsakiyar tushe. Yana iya zama triangular, quadrangular (hoton ƙasa), pentagonal, hexagonal, da dai sauransu.
- Pyramid tare da gefen gefe daidai gwargwado zuwa tushe - daya daga cikin gefuna na gefen adadi yana samuwa a kusurwar dama zuwa jirgin saman tushe. A wannan yanayin, wannan gefen shine tsayin dala.
- Truncated dala – bangaren dala da ke saura a tsakanin gindinsa da wani yanke jirgin sama daidai da wannan tushe.
- Tetrahedron – Wannan dala ce mai siffar triangular, fuskokin da ke dauke da triangles guda 4, kowanne daga cikinsu ana iya daukarsa a matsayin tushe. Shin daidai (kamar yadda yake a cikin hoton da ke ƙasa) - idan duk gefuna daidai suke, watau duk fuskokin madaidaicin alwatika.