How kuwana mukomberedzo of Triangle?

How kuwana mukomberedzo of Triangle? Saka mubvunzo wakabvunzwa nomumwe wedu, kuchikoro. Ngatitaurei edza kuyeuka zvose zvatinoziva nezvake ichi zvinoshamisa mufananidzo, uyewo kupindura mubvunzo.

Mhinduro kumubvunzo sei kuwana mukomberedzo ose Triangle rinowanzova nyore - zvinotora chete-chete kutevera nzira yose Kuwedzerwa urefu zvose nokunhivi dzayo. Zvisinei, pane imwe nyore shoma nzira zvisingazivikanwi uwandu.

Tips

Pakadaro, kana nharaunda (R) pamusoro denderedzwa iri akanyorwa netriangle, uye ayo nharaunda (S) vanozivikanwa, mhinduro yomubvunzo wokuti sei kuwana mukomberedzo pamusoro Triangle iri zvakanaka nyore. Kuti aite izvi, unofanira kushandisa zvatinosiita payakavakirwa:

P = 2S / R

Kana pamakona maviri vanozivikanwa Somuenzaniso, α uye β, izvo yakabatana kurutivi pacharo uye divi urefu, asi mukomberedzo anogona kuwanikwa vachishandisa chaizvo, mukurumbira chaizvo nzira kuti:

sinβ ∙ munhu / (chivi (180 ° - β - α)) + sinα ∙ imwe / (chivi (180 ° - β - α)) + munhu

Kana uchiziva kureba pedyo kumativi uye pakona β, riri pakati pavo, kuitira kuti awane mukomberedzo kuti kunodiwa kushandisa mashoko theorem no pakati cosines. The mukomberedzo rinowanikwa sezvinotevera:

P = b + mumwe + √ (b2 + A2 - 2 ∙ b ∙ uye ∙ cosβ),

apo A2 uye b2 ndiwo dzinoungana vanhu urefu pedyo kumativi. Yakakura okuti - ndiko kureba dzebato wechitatu uyo asina kuzivikanwa, pakataurwa cosine theorem no.

Kana usingazive sei kuwana mukomberedzo ane isosceles Triangle, pano, chokwadi, hapana chakaipa. Change nayo kushandisa nzira:

P = b + 2a,

apo b - mujinga Triangle, uye - nokunhivi dzayo.

Kuti tiwane mukomberedzo ane equilateral netriangle vanofanira kushandisa nyore inonyatsoita:

R = 3a,

uye apo - Kureba divi.

How kuwana mukomberedzo pamusoro Triangle kana tichiziva chete radii pakati madenderedzwa vanorondedzerwa nezvazvo kana mauri? Kana netriangle iri equilateral, saka tinofanira kushandisa nzira:

P = 3R√3 = 6r√3,

apo R uye R vari radii ari circumscribed uye yakanyorwa denderedzwa azvaitwa.

Kana netriangle iri isosceles, zvino nzira rinoshanda kwaari:

P = 2R (sinβ + 2sinα),

apo α - ndiro pakona riri nechepasi, uye β - pakona pakatarisana nechigadziko.

Kazhinji, kugadzirisa matambudziko kwemasvomhu zvinoda zvakadzama kuongorora uye yakananga kukwanisa kuwana uye kuratidza zvaidiwa Masvomhu, iyo, sezvo vakawanda vanoziva, ndizvo chaizvo basa rakaoma. Nepo dzimwe matambudziko zvinogona kugadziriswa pamwe chete chete nzira.

Ngationei nzira dziri chawo kupindura mubvunzo sei kuwana mukomberedzo of Triangle, kana toreva zvakasiyana marudzi zvokuridza.

Chokwadi, chikuru mutemo kuwana mukomberedzo of Triangle - mashoko aya: zvinodikanwa akarara pasi urefu kumativi ayo ari yakakodzera payakavakirwa nokuda kuwana mukomberedzo of Triangle:

P = b + mumwe + c,

apo b, uye - kureba panhivi netriangle, uye P - mukomberedzo of Triangle.

Kune akawanda anokosha zviitiko pamusoro nzira. Ngatitii dambudziko rako akagadzira sezvinotevera: "sei kuwana mukomberedzo pamusoro netriangle zvakanaka" Kana ichi, unofanira kushandisa mutoo:

P = b + mumwe + √ (b2 + A2)

In yemaitiro ichi, mumwe, uye, b ndizvo urefu makumbo nokukurumidza zvakanaka Triangle. Nyore kufungidzira kuti pane imwe divi (hypotenuse) rinoshandiswa kutaura hwokurara kubudikidza theorem no guru musayendisiti kare - Achibvuma pfungwa yaPythagoras.

Kana uchida kugadzirisa dambudziko, apo zvokuridza akafanana, zvino zvingava nomusoro kushandisa mashoko aya: nhamba zvakapoteredza ari runoenzanirana coefficient pazvakafanana. Toti une zvakafanana zvokuridza maviri - ΔABC uye ΔA1B1C1. Zvadaro kuwana kufanana chokufunga zvinogoverwa pamusoro mukomberedzo ΔABC ΔA1B1C1 mukomberedzo.

Mukugumisa, zvinofanira kucherechedzwa kuti mukomberedzo yacho Triangle anogona kuwanikwa vachishandisa zvakasiyana-siyana unyanzvi, zvichienderana kunobva Data kuti une. Zvinofanira akawedzera kuti pane dzimwe nguva kuti zvokuridza kodzero-angled.