The mukomberedzo of mativi tinowana dzakasiyana-siyana

Dzimwe nguva, pamberi murume anosimuka pedyo kudikanwa kuwana mukomberedzo pakati pachivara. Somuenzaniso, unofanira kugadzira rusvingo kumativi yaiungana nzvimbo, wallpapered mativi mukamuri kana isa rusvingo mativi kutamba horo girazi. Kuverenga uwandu zvinhu zvinodiwa, zvinokosha kuti chinokosha Masvomhu. Zvino ipapo, asingazivi sei kuwana mukomberedzo ari square, vachafanira wana zvinhu "maererano ziso". Okay, kana zviri chisingakoshi Wallpaper, asi imwe girazi iyo zvino isa? Uye kuperevedza zvinhu zvino zviri zvakaoma kuwana nemamwe zvakafanana yepamusoro.

Saka, sei unoziva chii mukomberedzo ari mativi? Tinoziva kuti mapato ose vakaenzana pachivara. Uye kana mukomberedzo - Verengai kumativi ose polygon, iyo mukomberedzo ari mativi anogona kunyorwa se (Q + Q + Q + q), apo Q - mutengo inotaridza pakureba rumwe rutivi pachivara. Sezvingatarisirwa, chinonyanya yakakodzera iri kushandisa chokuwanziridza. Saka mukomberedzo of pachivara - a quadruple ukoshi chaienzanirana urefu kumativi acho kana 4q, apo Q - divi.

Asi kana tichiziva chete nzvimbo yaiungana, iyo mukomberedzo izvo zvaunoda kuziva - zvokuita panyaya iyi? Zvino zvose zviri nyore chaizvo! Kubva anozivikanwa dzemitambo, iyo vakaratidza nzvimbo yaiungana, unofanira kugadzira dzokubudisa kuti mativi midzi. Saka kukosha muchivara vachawanikwa. Chitarisa nokuti mukomberedzo ari mativi kunodikanwa maererano nzira hwokurara pamusoro.

Mumwe mubvunzo, kana unofanira kuwana mukomberedzo ari mativi pamusoro diagonal. Pano tinofanira kuyeuka Pythagorean theorem no. Funga sikweya ane diagonal wakatemwa WR. WR akakamura mativi munzvimbo mbiri zvakanaka-angled isosceles Triangle. Kana tichiziva kureba diagonal (conditionally kuchigamuchira nokuda z, uye parutivi - nokuti u), ipapo kukosha muchivara inofanira kutsvaka pamusoro achishandisa nzira: muchivara they akaenzana kaviri yaiungana rwaUriya, izvo isu kuona: u akaenzana yaiungana mudzi, akatorako mumwe-hafu hypotenuse ane mativi . Next ari kuwedzera mugumisiro nokuda 4 nguva - ndizvozvo iwe mukomberedzo ari mativi!

Find mirayiridzo muchivara anogona kuva nharaunda yacho denderedzwa yakanyorwa mariri. Pashure pezvose, rakanyorwa denderedzwa anobata mativi ose mana akaenzana, apo mhedziso ndiyo - the dhayamita ane denderedzwa akaenzana pakureba pachivara. A dhayamita - inozivikanwa vose - kaviri kuti nharaunda.

Kana iwe unoziva nharaunda kana dhayamita ane denderedzwa circumscribed dzakapoteredza sikweya, pano tinoona kuti zvose vertices mana ane mativi zvakarongwa pamusoro denderedzwa. Saka dhayamita ari circumscribed denderedzwa akaenzana pakureba diagonal pakati pachivara. Kutora izvi somunhu akapiwa, uchiteverwa pakuverenga ari mukomberedzo pamusoro nzira yokuwana mukomberedzo pakati diagonals ayo, vakakurukura pamusoro.

Dzimwe nguva basa iri iyo unofanira kuziva chii mukomberedzo ari square, iyo yakanyorwa nenzira isosceles netriangle zvakanaka kuitira kuti mumwe pakona yaiungana rinobatana rakananga yorusvingo yacho Triangle. Ngazvizikamwe nebandauko geometrical nhamba. Kureva zvakafanana, triangle WER, sezvamakaropafadzwa E vanowanzochema vertex.

Yakanyorwa sikweya zvichabviswa akacherekedza ETYU. ET divi riri kurutivi WE, uye kurutivi EU - iri parutivi ER. Y vertex riri hypotenuse WR. Tichitarisa mberi nokudhirowa, mhedziso zvinogona kuitwa:

1. WTY - isosceles Triangle, nokuda kwokufara WER - isosceles nzira, EWR angled iri madhigirii 45, uye kunoguma Triangle - pamwe rectangular pakona nechepasi uye madhigirii 45, izvo anotibvumira wokusimbisa isosceles ake. Zvinoreva kuti WT = Ty.
2. Ty = ET sezvo mativi akaenzana.
3. Zvichitevera chete algorithm, Tinowana zvinotevera: Yu = muUri, uye muUri = EU.
4. Divi Triangle zvinogona achimiririrwa Verengai zvikamu. EW = ET + TW, uye ER = EU + Uri.
5. Pavanotsiva kuenzana zvikamu, isu kuona: EW = ET + Ty, uye ER = EU + UY.
6. Kana mukomberedzo of yakanyorwa pachivara kunoratidzwa payakavakirwa (ET + Ty) + (EU + UY), neimwe nzira inogona zvakanyorwa, zvichireva kuti chete yaiwana kukosha Triangle mativi, sezvo EW + ER. Kureva kuti, mukomberedzo ari mativi nokudhindwa rectangular netriangle ane chienderane rworudyi angled akaenzana Verengai mamwe maviri.

Izvi Zvechokwadi, kwete nzira dzose kuti pakuverenga ari mukomberedzo ari square, asi chete rakajairika. Asi vose dzinobva ndechokuti mukomberedzo of quadrilateral - munhu akapfupikisa kukosha zvose nokunhivi dzayo. Uye hakuna yokutiza!