Hunhu hwegonyonhatu yakaenzana: dzidziso uye muenzaniso wedambudziko

Muchinyorwa chino, tichaona tsananguro uye zvimiro zveequilateral (regular) triangle. Isu tichaongorora zvakare muenzaniso wekugadzirisa dambudziko rekubatanidza iyo theoretical material.

gutsikana

Tsanangudzo yegonyonhatu yakaenzana

Zvakaenzana (kana zvechokwadi) inodaidzwa kuti gonyonhatu umo mativi ese ane hurefu hwakafanana. Avo. AB = BC = AC.

Hunhu hwegonyonhatu yakaenzana: dzidziso uye muenzaniso wedambudziko

Cherechedza: Gorigoni yakajairika igonyo guru rine mativi nemakona akaenzana pakati pawo.

Zvimiro zveequilateral triangle

Chivakwa 1

Mune gonyonhatu yakaenzana, makona ese ari 60°. Avo. α = β = γ = 60°.

Hunhu hwegonyonhatu yakaenzana: dzidziso uye muenzaniso wedambudziko

Chivakwa 2

Mune gonyonhatu yakaenzana, kureba kunokweverwa kune mativi ese ari maviri bisector yekona kwainodhonzwa, pamwe nepakati nepakati uye perpendicular bisector.

Hunhu hwegonyonhatu yakaenzana: dzidziso uye muenzaniso wedambudziko

CD - yepakati, kureba uye perpendicular bisector kudivi AB, pamwe chete nekona bisector ACB.

  • CD perpendicular AB => ∠ADC = ∠BDC = 90°
  • AD = DB
  • ∠ACD = ∠DCB = 30°

Chivakwa 3

Mune gonyonhatu yakaenzana, bisectors, medians, urefu uye perpendicular bisectors inokweverwa kumativi ese inopindirana pane imwe nzvimbo.

Hunhu hwegonyonhatu yakaenzana: dzidziso uye muenzaniso wedambudziko

Chivakwa 4

Nzvimbo dzepakati dzemadenderedzwa akanyorwa uye akatenderedzwa akatenderedza equilateral triangle anopindirana uye ari pamharadzano yepakati, kureba, bisectors uye perpendicular bisectors.

Hunhu hwegonyonhatu yakaenzana: dzidziso uye muenzaniso wedambudziko

Chivakwa 5

Radhiyasi yedenderedzwa rakatenderedzwa rakatenderedza gonyonhatu yakaenzana inosvika ka 2 paradius yedenderedzwa rakanyorwa.

Hunhu hwegonyonhatu yakaenzana: dzidziso uye muenzaniso wedambudziko

  • R ndiyo radius yedenderedzwa rakatenderedzwa;
  • r ndiyo radius yedenderedzwa rakanyorwa;
  • R = 2r.

Chivakwa 6

Mune equilateral triangle, tichiziva kureba kwedivi (isu tichazvitora semamiriro ezvinhu “Ku”), tinogona kuverenga:

1. Hurefu/median/bisector:

Hunhu hwegonyonhatu yakaenzana: dzidziso uye muenzaniso wedambudziko

2. Radhiyasi yedenderedzwa rakanyorwa:

Hunhu hwegonyonhatu yakaenzana: dzidziso uye muenzaniso wedambudziko

3. Radhiyasi yedenderedzwa rakatenderedzwa:

Hunhu hwegonyonhatu yakaenzana: dzidziso uye muenzaniso wedambudziko

4. Perimeter:

Hunhu hwegonyonhatu yakaenzana: dzidziso uye muenzaniso wedambudziko

5. Nharaunda:

Hunhu hwegonyonhatu yakaenzana: dzidziso uye muenzaniso wedambudziko

Muenzaniso wedambudziko

A equilateral triangle anopiwa, rutivi rwayo 7 cm. Tsvaga radius yedenderedzwa rakanyorwa uye rakanyorwa, pamwe nekukwirira kwechimiro.

mhinduro

Isu tinoshandisa mafomula akapihwa pamusoro kuti tiwane huwandu husingazivikanwe:

Hunhu hwegonyonhatu yakaenzana: dzidziso uye muenzaniso wedambudziko

Hunhu hwegonyonhatu yakaenzana: dzidziso uye muenzaniso wedambudziko

Hunhu hwegonyonhatu yakaenzana: dzidziso uye muenzaniso wedambudziko

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