Tsanangudzo uye zvimiro zvepakati pegonyonhatu

Muchinyorwa chino, isu tichatarisa tsananguro yepakati petatu, nyora zvimiro zvayo, uye zvakare kuongorora mienzaniso yekugadzirisa matambudziko kusanganisa dzidziso.

Tsanangudzo yepakati pegonyonhatu

Median chikamu chemutsetse chinobatanidza vertex yegonyo nepakati pedivi rakatarisana ne vertex iyoyo.

• BF ndiyo yepakati inokweverwa kudivi AC.
• AF = FC

Base median - nzvimbo yemharadzano yepakati nedivi regonyonhatu, nemamwe mazwi, nzvimbo yepakati yedivi rino F).

zvepakati zvinhu

Property 1 (main)

Nokuti kana katatu ine vertices mitatu uye mativi matatu, saka kune matatu epakati, zvichiteerana. Vose vanopindirana pane imwe nguvaO), inonzi centroid or pakati pesimba regiravhiti regonyonhatu.

Pakusangana kwepakati, imwe neimwe yadzo yakakamurwa muchiyero che2: 1, kuverenga kubva kumusoro. Izvo.:

• AO = 2OE
• BO = 2OF
• CO = 2OD

Chivakwa 2

Wepakati anopatsanura gonyo kuita makona matatu enzvimbo yakaenzana.

S₁ =S₂

Chivakwa 3

Nhatu dzepakati dzinopatsanura gonyo kuita makonanhatu matanhatu enzvimbo yakaenzana.

S₁ =S₂ =S₃ =S₄ =S₅ =S₆

Chivakwa 4

Diki repakati rinoenderana nedivi rakakura regonyonhatu, uye zvichipesana.

• AC ndiro divi rakareba, nokudaro repakati BF – pfupi.
• AB ndiro divi rakapfupika, nokudaro repakati CD – kureba.

Chivakwa 5

Ngatitii tinoziva mativi ese ekona (ngatitorei se a, b и c).

kureba kwepakati m_akudhonzwa parutivi a, inogona kuwanikwa neformula:

Mienzaniso yemabasa

Basa 1

Nharaunda yeimwe yenhamba yakaumbwa semhedzisiro yemharadzano yevatatu midhiya mukona ndeye 5 cm.². Tsvaga nzvimbo yekona.

mhinduro

Maererano nepfuma 3, yakakurukurwa pamusoro, semugumisiro wekupindirana kwevatatu vepakati, 6 triangles inoumbwa, yakaenzana munzvimbo. Naizvozvo:

S_△ = 5 masendimita² ⋅ 6 = 30 cm².

Basa 2

Mativi egonyo 6, 8 uye 10 cm. Tsvaga yepakati yakakweverwa kudivi nehurefu hwe 6 cm.

mhinduro

Ngatishandisei fomula yakapihwa muchikamu 5: