Ka wahi o ka rhombus: nā papakuhikuhi a me nā kūʻiʻo

Rhombus (mai Helene a me Roma ῥόμβος rombus «pahu") mea he parallelogram, a ua wehewehe aku ma ke alo o ka like loaʻaoʻao. Ma ka hihia ma ka pana pua, he 90 degere (a ma ka'ākau, pana pua) ua kapaia heʻahā like ia geometric huahelu. Rhombus - he geometric huahelu, heʻano o quadrangles. Ua hiki e he ahalike, a me ka parallelogram.

Kêia kanaka o ka makahiki

E ka kamailio iki e pili ana i ka mōʻaukala o ka huahelu, a e kōkua i kona wahi o ike mai ai ia i ka pohihihi mea huna o ka honua kahiko. Ka mau hua'ōlelo no mākou, pinepine 'ia i loko o ke kula moʻokalaleo, "daimana" originates mai ka Helene hua'ōlelo "pahu". Ma kahiko Greece, ka mea kani hua mai la i loko o ka daimana-hoʻokino 'oleʻahā like (i loko o Akä naÿe i kaʻiʻo nō o kēia adaptations). Heʻoiaʻiʻoʻoe i hoʻomaopopo i ke kāleka e uhauhaʻi, - diamonds - mai ka rhombic shape. I ka ho okumu ana o keia hoopii hele hoʻi a hiki i ka lā o ka puni diamonds mea i hoʻohana 'ia i loko o maʻamau o ke ola. Nolaila, ke daimana - kahiko mōʻaukala huahelu, i i invented loa ma mua o nā huila ma ka humankind.

No ka mea manawa mua ia o ka hua'ōlelo like "daimana" Ua hoʻohana 'ia e na kaulana personalities me Geron a me Pope o Alexandria.

waiwai o ka rhombus

1. Mai ka rhombus aoao e ku pono ana kekahi i kekahi, a ua ae ia laua, me ka rhombus kanalua parallelogram (AB || CD, AD || BC).
2. Rhombic e diagonally e holo ma ka'ākau, pana pua (AC ⊥ BD), a pela p ÷ haku. Nolaila, ke kuʻina i hookaawale ai i ka hapalua o diagonally.
3. Bisectors rhombic rhombus kihi i diagonally (∠DCA = ∠BCA, ∠ABD = ∠CBD a me ka 'ole. D.).
4. I ka wahine paha, o parallelograms i ka huina o na mika pāhoʻonui lua o na diagonals o ka rhombus o ka helu o nāʻaoʻao o ka huinahalike, a ua hoonuiia ka 4.

na hoailona o ka rhombus

Rhombus i loko o ia mau hihia mea he parallelogram e kō ka ana ma lalo nei:

1. All aoao o ka parallelogram e kaulike.
2. Nā diagonals o na rhombus intersect ma akau pana pua, a laila ka mea i ÷ haku me ka pili ana i kekahi i kekahi (AC⊥BD). Kēia proves i ka rula o ka ekoluʻaoʻao (nāʻaoʻao i kau like, a ua aia ma ka huina o 90 degere).
3. parallelogram diagonally hookaawaleia kihi like, no ka mea, o ka aoao elua, ua like.

Ka wahi o ka rhombus

Ka wahi o ka rhombus hiki ke pōpilikia ma ka mea o kekahi mau nā papakuhikuhi (ke kaumaha ma muli o ka mea i hoakaka ia ma ka pilikia). Next, heluhelu e pili ana i ka mea o ka wahi o ka rhombus.

1. Ka wahi o ka rhombus mea like me ka helu ana i ka hapalua o ka huina hoonui o kona diagonals.
2. No ka mea, daimana - he ano o ka parallelogram, rhombus ka (S) o ka helu o ka hana wahiʻaoʻao o ka parallelogram ma luna o kona kiekie (h).
3. Eia, i ka rhombus āpana hiki ke pōpilikia ma ka haʻilula i mea i ka huina hoonui o ka kihikihiʻo aoao ma ka rhombus sine o ka huina. Sine o ka huina - Alpha - kihi aia ma waena o ke kumu o ka rhombus aoao.
4. Ka mea, ua oluolu no ka pololei pāʻoihana noʻonoʻo haʻilula i mea no ka huina hoonui o ka palua i ka huina, alpha, a me ka ke kahahńnai o ka incircle (R).

Mau nā papakuhikuhi, e hiki ke ho omaulia, a lilo i ka kumu o ka Pythagorean theorem a me na rula i ekoluʻaoʻao. He nui examples i hoʻomōhala i ke komo ana o kekahi mau nā papakuhikuhi i loko o kekahi 'oihana.