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Ma kēia ʻatikala, e noʻonoʻo mākou i ka wehewehe ʻana o ka median o kahi triangle, e papa inoa i kona mau waiwai, a me ka nānā ʻana i nā hiʻohiʻona o ka hoʻoponopono ʻana i nā pilikia no ka hoʻohui ʻana i nā mea manaʻo.
Ka wehewehe o ka median o ka huinakolu
Median he mahele laina e hookui ana i ka piko o ka huinakolu me ka lae waena o ka aoao e ku pono ana i kela piko.
- BF ka median i hukiia ma ka aoao AC.
- AF = FC
Median kumu – ka lae o ka hui ana o ka median me ka aoao o ka huinakolu, oia hoi ka lae waena o keia aoao. F).
waiwai waena
Waiwai 1 (nui)
No ka mea, ina ekolu piko o ka huinakolu a me na aoao ekolu, alaila, ekolu mau waena. Hoʻopili lākou a pau i kahi manawaO), i kapaia kikowaena or kikowaena o ka umekaumaha o ka huinakolu.
Ma kahi o ka intersection o nā waena, ua māhele ʻia kēlā me kēia o lākou i ka ratio o 2: 1, e helu ana mai luna. Ka poe.:
- AO = 2OE
- BO = 2OF
- CO = 2OD
Waiwai 2
Ua puunaue ka median i ka huinakolu i 2 huinakolu o ka huinalike.
S1 =S2
Waiwai 3
E puunaue ekolu median i ka huinakolu i 6 huinakolu o ka huinalike.
S1 =S2 =S3 =S4 =S5 =S6
Waiwai 4
Ua like ka median li'ili'i me ka aoao nui o ka huinakolu, a me ka aoao hope.
- AC ʻo ka ʻaoʻao lōʻihi loa, no laila ka waena BF - ka pōkole loa.
- AB ka aoao pokole loa, nolaila ka median CD - ka lōʻihi loa.
Waiwai 5
Ina paha ua ike kakou i na aoao a pau o ka huinakolu (e lawe kakou ia lakou e like me a, b и c).
lōʻihi waena mahuki ʻia ma ka ʻaoʻao a, hiki ke loaʻa ma ke ʻano:
Nā laʻana o nā hana
Hana 1
ʻO ka ʻāpana o kekahi o nā kiʻi i hana ʻia ma muli o ka hui ʻana o ʻekolu mau waena i loko o kahi triangle he 5 cm.2. E huli i kahi o ka huinakolu.
pāʻoihana
Ma muli o ka waiwai 3, i kūkākūkā ʻia ma luna, ma muli o ka hui ʻana o ʻekolu mau waena, ua hana ʻia nā huinakolu 6, ua like ka ʻāpana. No laila:
S△ = 5 knm2 ⋅ 6 = 30 knm2.
Hana 2
He 6, 8 a me 10 knm na aoao o ka huinakolu. E huli i ka waena i kaha ʻia i ka ʻaoʻao me 6 knm ka lōʻihi.
pāʻoihana
E hoʻohana kākou i ke ʻano i hāʻawi ʻia ma ka waiwai 5:
