Indawo rhombus: amafomula amaqiniso

Rhombus (kusuka zesiGreki nesiLatin ῥόμβος rombus «drum") iyinhlangano parallelogram, okuyinto libhekene khona obuphelele alinganayo ezinhlangothini. Esimweni lapho engele yilezi 90 degrees (noma engeli ngakwesokudla) ezifana sibalo Jomethri ibizwa ngokuthi square. Rhombus - sibalo Jomethri, uhlobo quadrangles. Kungenzeka isikwele, kanye parallelogram.

Origins of the eside

Asikhulume kancane ngomlando sibalo, ozokusiza kancane ukuthola izimfihlo okuyimfihlakalo kakhulu ezweni lasendulo. Igama evamile kithi, ngokuvamile okwenzeka labafundi besikole, "diamond" evela igama lesiGreki "imigqomo". EGrisi lasendulo, zokubethwa akhiqizwa okwedayimane noma isikwele (ngokungafani kuya ezincwadini zanamuhla). Ngokuqinisekile uke waphawula ukuthi amasudi ikhadi - amadayimane - has simise rhombic. Ukwakheka lokhu suit itholakala ngokuba sibuyele emuva ezinsukwini lapho amadayimane round azisetshenziswa ekuphileni kwansuku zonke. Ngenxa yalokho, idayimane - endala emlandweni, okuyinto yasungulwa isintu eside ngaphambi amasondo.

Ngokokuqala ngqá igama njengokuthi "diamond" lalisetshenziswa ezifana Ubuntu adumile njengoba Geron and uPapa of Alexandria.

izakhiwo a glossy

1. Kusukela izinhlangothi rhombus okuphambene nomunye futhi Okusizayo okufanayo, ngokungangabazeki rhombus parallelogram (AB || CD, AD || BC).
2. Rhombic kuthiwa ngokuphambeneyo owawunqamula engeli ngakwesokudla (AC ⊥ BD), futhi ngaleyo ndlela perpendicular. Ngenxa yalokho, empambana Uyahlukana isigamu ngokuphambeneyo.
3. Bisectors rhombic rhombus emakhoneni kukhona ngokuphambeneyo (∠DCA = ∠BCA, ∠ABD = ∠CBD futhi t. D.).
4. Ubunikazi parallelograms ukuthi isamba izigcawu the diagonals we rhombus inombolo izinhlangothi square, okuyinto iphindwe 4.

izimpawu zesifo rhombus

Rhombus kulezo zimo kuyinto parallelogram elihlangabezana kwale mibandela elandelayo:

1. Zonke izinhlangothi a parallelogram bayalingana.
2. I diagonals we rhombus aphambana at engele kwesokudla, isb kukhona perpendicular maqondana nomunye (AC⊥BD). Lokhu kufakazela ukuthi umyalo kokubusa izinhlangothi ezintathu (ezinhlangothini bayalingana futhi zitholakala i-engela 90 degrees).
3. parallelogram emakhoneni ngokuphambeneyo ahlukaniswe ngokulinganayo, ngoba izinhlangothi bayalingana.

Endaweni rhombus

Indawo rhombus ingabalwa esebenzisa amafomula eziningana (kuncike impahla enikeziwe kule nkinga). Okulandelayo, ufunde mayelana nokuthi iyiphi indawo rhombus.

1. Endaweni rhombus ilingana nenani okuyinto isigamu umkhiqizo diagonals yayo.
2. Njengoba idayimane - uhlobo parallelogram, rhombus le (S) inombolo umsebenzi endaweni uhlangothi parallelogram ku ukuphakama kwalo (h).
3. Ngaphezu kwalokho, endaweni rhombus ingabalwa by ifomula okuyinto umkhiqizo ezinhlangothini lesikwele ku-sine rhombus ye-engeli. Sine ye-engeli --alpha - ekhoneni elise phakathi umthombo izinhlangothi rhombus.
4. Kuyinto akwamukeleki izixazululo ezifanele kubhekwe ifomula okuyinto umkhiqizo kabili alpha engela kanye engaba incircle (r).

Lezi amafomula, ungakwazi ukubala futhi afakazele ngesisekelo theorem kaPythagoras kanye nemithetho ezinhlangothini ezintathu. Izibonelo eziningi bagxile ukubandakanywa amafomula eziningana kwelinye umsebenzi.