Ma kēia paʻi ʻana, e noʻonoʻo mākou i kekahi o nā manaʻo nui ma ka papa 7 geometry - e pili ana i ka ʻaoʻao waho o kahi huinakolu. E kālailai pū mākou i nā laʻana o ka hoʻoponopono ʻana i nā pilikia i mea e hoʻohui ai i nā mea i hōʻike ʻia.
Ka wehewehe o kahi kihi waho
ʻO ka mua, e hoʻomanaʻo kākou i ke ʻano o ke kihi waho. E ʻōlelo kākou he huinakolu kā kākou:
Pili i kahi kihi o loko (λ) ka huina huinakolu ma ka piko like mawaho. I kā mākou kiʻi, hōʻike ʻia e ka leka γ.
I loko o:
- ka huina o keia mau huina he 180 degere, ie c+ λ = 180° (ka waiwai o ke kihi o waho);
- 0 и 0.
ʻO ka ʻōlelo o ka theorem
Ua like ka huina waho o ka huinakolu me ka huina o na huina elua o ka huinakolu i pili ole me ia.
c = a + b
Mai keia kumumanao, ua oi aku ka nui o ka huina mawaho o kekahi huinakolu mamua o na huina kuloko i pili ole me ia.
Nā laʻana o nā hana
Hana 1
Hāʻawi ʻia kahi huinakolu kahi i ʻike ʻia ai nā waiwai o nā kihi ʻelua - 45 ° a me 58 °. E huli i ka huina waho e pili ana i ka huina ike ole o ka huinakolu.
pāʻoihana
Me ka hoʻohana ʻana i ke ʻano o ka theorem, loaʻa iā mākou: 45° + 58° = 103°.
Hana 1
He 115° ka huina waho o ka huinakolu, a he 28° kekahi o na huina pili ole. E helu i na waiwai o na huina i koe o ka huinakolu.
pāʻoihana
No ka maʻalahi, e hoʻohana mākou i ka notation i hōʻike ʻia ma nā kiʻi ma luna. Lawe ʻia ka huina kūloko i ʻike ʻia α.
Ma muli o ka theorem: β = γ – α = 115° – 28° = 87°.
huina λ pili i ka waho, a no laila ua helu ʻia e kēia ʻano kumu (e hahai mai ka waiwai o ke kihi o waho): λ = 180° – γ = 180° – 115° = 65°.