Nā waiwai kiʻekiʻe o ka huinakolu kaulike

Ma kēia paʻi ʻana, e noʻonoʻo mākou i nā waiwai kumu o ke kiʻekiʻe i loko o kahi huinakolu kaulike (maʻamau). E nānā pū mākou i kahi laʻana o ka hoʻoponopono ʻana i kahi pilikia ma kēia kumuhana.

'Ōlelo Aʻo: kapaia ka huinakolu kaulikeina ua like kona mau aoao a pau.

maʻiʻo

Nā waiwai kiʻekiʻe ma ka huinakolu kaulike

Waiwai 1

ʻO kēlā me kēia kiʻekiʻe i loko o ka huinakolu kaulike, ʻo ia ka mahele ʻelua, ka waena, a me ka ʻaoʻao ʻokoʻa.

Nā waiwai kiʻekiʻe o ka huinakolu kaulike

  • BD – hoʻohaʻahaʻa ʻia ke kiʻekiʻe i ka ʻaoʻao AC;
  • BD ʻo ia ka median e māhele ai i ka ʻaoʻao AC i ka hapalua, ie AD = DC;
  • BD – huina huinahalike ABC, ie ∠ABD = ∠CBD;
  • BD ka median perpendicular to AC.

Waiwai 2

Ua like ka lōʻihi o nā kiʻekiʻe ʻekolu o ka huinakolu kaulike.

Nā waiwai kiʻekiʻe o ka huinakolu kaulike

AE = BD = CF

Waiwai 3

Ua māhele ʻia nā kiʻekiʻe o ka huinakolu like ma ka orthocenter (kahi o ka hui ʻana) i ka ratio o 2:1, e helu ana mai ka piko mai kahi i huki ʻia ai lākou.

Nā waiwai kiʻekiʻe o ka huinakolu kaulike

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

Waiwai 4

ʻO ke kikowaena o ka huinakolu kaulike ke kikowaena o nā pōʻai i kahakaha ʻia a puni.

Nā waiwai kiʻekiʻe o ka huinakolu kaulike

  • R ʻo ia ka radius o ka pōʻai puni;
  • r ʻo ia ka radius o ka pōʻai i kākau ʻia;
  • R = 2r (ma hope mai Waiwai 3).

Waiwai 5

ʻO ke kiʻekiʻe o ka huinakolu kaulike e puʻunaue iā ia i ʻelua huinakolu ʻokoʻa ʻokoʻa.

Nā waiwai kiʻekiʻe o ka huinakolu kaulike

S1 =S2

ʻEkolu mau kiʻekiʻe o ka huinakolu kaulike e puʻunaue iā ia i 6 mau huinakolu ʻākau o ka ʻāpana like.

Waiwai 6

I ka ʻike ʻana i ka lōʻihi o ka ʻaoʻao o ka huinakolu kaulike, hiki ke helu ʻia kona kiʻekiʻe e ke kumu:

Nā waiwai kiʻekiʻe o ka huinakolu kaulike

a ka aoao o ka huinakolu.

Laʻana o kahi pilikia

ʻO ka radius o ka pōʻai i hoʻopuni ʻia a puni ka huinakolu kaulike he 7 knm. E imi i ka aoao o keia huinakolu.

pāʻoihana

E like me kā mākou ʻike mai waiwai 3 и 4, ʻo ka radius o ka pōʻai pōʻai he 2/3 o ke kiʻekiʻe o kahi huinakolu kaulike (h). No laila, h = 7 ∶ 2 ⋅ 3 = 10,5 knm.

I kēia manawa, e hoʻomau i ka helu ʻana i ka lōʻihi o ka ʻaoʻao o ka huinakolu (ua loaʻa ka ʻōlelo mai ke kumu ma Waiwai 6):

Nā waiwai kiʻekiʻe o ka huinakolu kaulike

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