Obtuse netriangle: kureba mativi, Verengai pamakona. Zvinorondedzerwa obtuse Triangle

Kunyange vana vanoenda kukireshi kuziva sokunge netriangle. Asi zvakadaro, chii ndivo vakomana vari vatotanga kunzwisisa chikoro. Imwe mhando ndiyo obtuse Triangle. Kunzwisisa zviri nyore kuona kana munhu mufananidzo pamwe mufananidzo wake. In dzidziso, ichi saka kunzi "polygon nyore" mativi matatu uye vertices, rimwe riri ane obtuse angled.

Tinonzwisisa nounhu

The geometry kusiyanisa mhando izvi maumbirwo mativi nhatu: chakasimba-angled, zvakarurama-angled uye obtuse-angled zvokuridza. The ehupfumi pamusoro polygons nyore izvi zvakafanana vose. Saka, nokuti marudzi ose aya kuonekwa kusaruramisira ichi. Verengai urefu chero mbiri panhivi chokwadi anopfuura yechitatu-party chiwedzerwa.

Asi kuti kuva nechokwadi chokuti tiri kutaura pamusoro munhu wakakwana, pane yakarongwa nomunhu nenhongonya, unofanira kuongorora zvinoenderana kudiwa kuti kuwanda obtuse pamakona ose netriangle akaenzana ^180. Ndozvazvakaitawo kuti mamwe marudzi manhamba mativi matatu. Zvisinei, mune imwe obtuse Triangle, mumwe rekona achava zvakatowanda ^90, uye vaviri vakasara muchava inopinza. Muchiitiko chino, zvichava kupfuura yorusvingo pakatarisana wakarebesa divi. Zvisinei, izvi handizvo zvose ehupfumi ane netriangle obtuse-angled. Asi kungoziva izvi features, vadzidzi vanogona kugadzirisa matambudziko akawanda geometry.

Nokuti mumwe polygon pamwe vertices matatu ndezvechokwadiwo kuti, tichiramba divi, tinowana pakona, kukura ichazovapo akaenzana Verengai maviri non-pedyo mukati vertices naye. Mukomberedzo obtuse netriangle rinowanikwa saizvozvo sezvo vamwe nenhamba. Ndiye vakaverenga urefu zvose nokunhivi dzayo. Kuziva nzvimbo yacho, triangle mathematicians Masvomhu siyana dzakanga hwokurara, zvichienderana iyo mashoko akatanga aripo.

zvechokwadi chiratidzo

Chimwe chinokosha kugadzirisa matambudziko geometry ndiyo yakarurama nhamba. Kazhinji pamasvomhu mudzidzisi vanoti kuchabatsira kwete chete kuona anopiwa uye chii chinodiwa iwe, asi 80% pedyo mhinduro yakarurama. Saka zvinokosha kuziva kuti avake obtuse Triangle. Kana uchida chete tsvagai mufananidzo, ungaswedera chero polygon mativi matatu kuitira kuti mumwe mukona akanga achisiri ^90.

Kana mumwe akapiwa tsika divi urefu kana pamakona madhigirii, kuswedera anofanira obtuse netriangle maererano navo. Zvakakosha kuedza chinoreva zvakarurama kufadza pamakona, pakuverenga navo achishandisa protractor, uye proportionally Ndokunyengetererai Data maererano kuratidza divi.

chikuru mutsetse

Kazhinji, vaduku vechikoro vanoziva chete sei uchifarira avo kana zvimwe nenhamba. Vanogona kuita mashoko pamusoro sei obtuse netriangle uye rectangle kwete chete. Masvomhu Chokwadi chero kuti ruzivo rwavo dzinokosha zviri nenhamba vanofanira zvizere.

Saka, mudzidzi mumwe nomumwe anofanira kuva akajeka tsanangudzo bisector, evaMedhia, uye perpendicular yakakwirira. Uyezve, anofanira kuziva zvinokosha ehupfumi dzavo.

Saka, pakona bisector yakakamurwa nepakati, uye negwara - kupinda zvikamu zviri Proportional kune pedyo kumativi.

MuMedhia akapiwa runoparadzanisa netriangle nechimwe huviri zvakaenzana munzvimbo. Panguva apo ivo piringisha, imwe neimwe iri partitioned mu urefu maviri nhamba 2: 1, kana kuonekwa kubva pamusoro, kubva iyo akasvika. A evaMedhia guru nguva dzose yakaomerera yakaderera divi rayo.

No zvishoma pfungwa rwakabhadharwa kuna kukwira. Zviri perpendicular kune divi pakona. Kukwirira obtuse Triangle ine maitiro ayo. Kana voitakura kubva unopinza muromo, haina kuwa parutivi nyore polygon, uye ayo kuenderera.

The perpendicular - a chidimbu kuti anoenda kubva pakati kumucheto Triangle. Panguva iyoyo riri pana yakarurama akachinjikana.

Kushanda madenderedzwa

Pakutanga adzidze geometry vana zvakakwana kunzwisisa sei kuzochera ane obtuse Triangle, kudzidza kusiyanisa kubva mamwe marudzi, uye yeuka zvayo zvinokosha ehupfumi. Asi vokusekondari kuti ruzivo hakuna kukwana. Somuenzaniso, muna bvunzo Mibvunzo inowanzobvunzwa pamusoro madenderedzwa circumscribed uye zvikanyorwa. Wokutanga anoti kuna vertices matatu netriangle, uye mumwe ane nevakawanda pfungwa mapato.

Vavake yakanyorwa kana circumscribed obtuse netriangle kwakaoma zvikuru, nokuti unofanira kutanga kufunga kupi uchida Nhongonya denderedzwa yayo nharaunda. Zviya, richava chinhu chinokosha kushandisa iyi hakusi chete penzura pamwechete nomubati, asiwo nekambasi.

Nematambudziko chete kuchimuka rokuvaka rakanyorwa polygons mativi matatu. Mathematicians vakanga hwokurara Masvomhu siyana anotigonesa kuti kuziva nzvimbo dzavo zvakarurama sezvingakwanisika.

yakanyorwa zvokuridza

Sezvambotaurwa, kana denderedzwa ichipfuura zvose zvitatu vertices, zvino anonzi circumscribed denderedzwa. Its chikuru chinhu ndechokuti rakasiyana. Kuti uzive sei kuti akaiswa circumscribed denderedzwa obtuse Triangle, anofanira kurangarira kuti pakati kwaro riri mharadzano pakati midperpendiculars matatu kuti vaende kumativi nhamba. Kana chenjera-angled polygon pamwe vertices matatu, pfungwa iyi ichava mukati kwaari, mune imwe obtuse - mberi.

Achiziva Somuenzaniso, kuti mumwe kumativi ane netriangle obtuse-angled akaenzana ayo nharaunda, zvinokwanisika kuwana pakona riri pakatarisana zviso vakakurumbira. sine wave Its akaenzana mugumisiro kugovera kureba chinozivikanwa divi kusvika 2R (apo R - ndiyo nharaunda yacho denderedzwa). Ndicho chivi angled akaenzana ½. Nokudaro, pakona akaenzana ^150.

Kana uchida kuwana nharaunda yacho denderedzwa obtuse Triangle, ipapo iwe anobatsira ruzivo pamusoro kureba kumativi ayo (c, ndima, b) uye nharaunda yayo S. Nokuti nharaunda rinowanikwa sezvinotevera: (c X vs. X b): 4 X S. Pakazosvika nzira, hazvina basa chii penyu mufananidzo mhando: a-chinja obtuse netriangle, imwe isosceles, chenjera-angled twasu-kana. Chero mamiriro ezvinhu, nemhaka yemaitiro, unogona kudzidza kupiwa nzvimbo imwe polygon mativi matatu.

ari Triangle

Kazhinji chaizvo kushanda pamwe rakanyorwa madenderedzwa. Maererano nomumwe Masvomhu, kuti nharaunda yose munhu akadaro, ½ vawanda nokuda mukomberedzo achava akaenzana nzvimbo Triangle. Zvisinei, nokuti ayo kuwanikwa unofanira kuziva rutivi, triangle obtuse-angled. Pashure pezvose, kuitira kuti asarudze mukomberedzo ½, zvakakodzera kuisa pasi kureba dzavo uye akakamurwa 2.

Kuti tinzwisise apo uchida Nhongonya denderedzwa akanyorwa obtuse Triangle, zvinokosha kupedza matatu bisector. mutsetse ichi, izvo zviparadzanise makona hafu. Zviri panguva mharadzano uye uchava pakati denderedzwa. Muchiitiko chino, ichava equidistant kubva neimwe mapato.

The nharaunda munhu denderedzwa akanyorwa obtuse-angled netriangle vakaenzana yaiungana mudzi ari private (yori) X (pv) X (PB): p. Muchiitiko chino, peji - iri hafu-mukomberedzo yacho Triangle, c, ndima, b - rutivizve.