How kuwana achitungamirirwa Triangle. Tinotanga iri nyore

Triangle - munhu geometrical mufananidzo, chine matatu pfungwa, uyewo, dzinonzi vertices, mavakanga vari zvakabatana muna dzinotevedzana pakati zvikamu zvacho. zvikamu izvi zvinonzi panhivi Triangle. Kune akawanda mhando zvokuridza, anoti:

1. kwakakura pamakona:

- obtuse (apo mumwe pamakona riri pamusoro pavakarurama makumi mapfumbamwe dhigirii chiyero madhigirii);

- rectangular (apo mumwe pamakona ndiro makumi madhigirii);

- chenjera-angled (apo pamakona ose vane gradusnuju kuyera asingasviki makumi madhigirii).

2. By nokuwanda zvakaenzana mativi:

- kuita zvinhu zvizhinji (kumativi ose akasiyana kukura);

- isosceles (mativi maviri anoenzanirana);

- equilateral (mativi ose vane zvakaenzana kureba).

Kucherechedza ndechokuti Verengai dhigirii angled matanho netriangle anogara 180 madhigirii, pasinei mhando pezvakaita pachayo. Saka, pamakona ane equilateral Triangle, izvo nhema nechepasi, nguva dzose vakaenzana. Uye imwe equilateral Triangle , mumwe pakona ane chaizvo makumi matanhatu inegumi. The angled netriangle kutsvaka angled yakakwana kuti kubvisa makumi madhigirii anozivikanwa angled. Ipapo vachaziva ose matanho dhigirii.

Zivo dhigirii chiyero pakona nguva dzose anopa mhinduro yomubvunzo wokuti sei kuwana kudivi netriangle. Funga zvose mienzaniso netriangle zvakarurama, sezvazvakaita zvikuru-chinja. Mukuwedzera, equilateral uye isosceles zvokuridza hunogona kungoparara kumiririrwa muchimiro vaviri rectangular, asi zvakawanda pamusoro paikoko.

Chinonyanya dhigirii matanho havana kukwana. Iye chete zvinodiwa kuti kukwanisa kuverenga trigonometric ratios, zvinoti:

Chivi - nhamba yacho pedyo gumbo kusvika hypotenuse, Kosi - nhamba nevakomana gumbo kusvika hypotenuse, TG - nhamba yacho pedyo gumbo zvakashandurwa, Ctg - nhamba nevakomana gumbo kusvika pedyo.

Saka, sei kuwana kudivi netriangle zvakarurama? Kuziva ukama, unogona kushandisa theorem no pakati sines, iyo inoti sezvinotevera: rimwe divi ndohwaJehovha Sine pakati rekona uyewo mamwe bato chinoenderana Sine ari pakona romumwe, uye bato wechitatu aine chete chinoumba reshiyo uye Sine pakati rekona, uyewo yapfuura maviri.

Sezvinogona kuoneka kubva theorem no kuti sines ruzivo hazvikwani. Zvakakosha kuziva mwero urefu ane zvinenge rumwe rutivi. Zvino sei kuwana kurutivi netriangle, hazvina haakonzeri vangaomerwa yakawandisa. Kana pane imwe nzira. Kana cosine nevakomana kutsvaka mumwe makumbo Triangle, kuti hypotenuse inofanira kane Sine kana pedyo wekona. divi ukoshi haachinji.

Uyezve, zvinoita here kushandisa zvose anozivikanwa Pythagorean theorem no, izvo zvinozoita inopa: mativi ose hypotenuse vakaenzana vakaverenga dzinoungana mamwe maviri. Pano, vachiziva zviyero zviviri mativi, unogona kuona nyore kukosha wechitatu.

Pane theorem no sei kuwana kudivi netriangle. Cosine theorem no: chiyero kurutivi pakureba akaenzana kune mativi mudzi pakati vakaverenga dzinoungana vemamwe mbiri panhivi pasina kaviri zvinobikwa mativi izvi, izvo zviri zvinozoita vawanda kubudikidza cosine ari pakona pakati pavo.

Uye sei kuwana mirayiridzo ane isosceles Triangle? Apo iwe kodzero iripo chete nenheyo dzose uye theorem no kuti nokuda rectangular, asi pane zvimwe nuances.

First unofanira kuderedza kukwirira Triangle hwaro. Saka, tinowana maviri akafanana rectangular Triangle, uye izvo achashanda kare vakadzidza nezvaanogona. How kuwana achitungamirirwa Triangle? Tinogashira uye hypotenuse, uye vaviri gumbo. Kana tinowana hypotenuse, ipapo isu munotoriziva mativi maviri netriangle. Zvisinei, kana, takawana kuti gumbo, zvisina yakakwirira, zvino kana vachiwedzera parutivi vaviri, tinowana kukosha kupati rechitatu.

Kazhinji pane matambudziko apo hapana mapato hakuna kupiwa. Muchiitiko ichi zvakafanira yokusuma vamwe vasingazivikanwi X, uye rambai makatarira kumativi ose, haana kuteerera yokutsiva iri mhando.