Obtuse makona: kutalika kwa mbali, Uwerenge kumathandiza kupeza ngodya zabwino ndi. Anafotokoza obtuse makona

Ngakhale ana sukulu mukudziwa chimene chimaoneka makona a. Koma, kodi anyamata kale kuyambira kumvetsa sukulu. mtundu umodzi ndi obtuse makona. Kuzindikira kuti ndi chiani Chophweka kuona ngati chithunzi ndi chifaniziro chake. Akuti izi wotchedwa "yosavuta polygon" ndi mbali zitatu ndi mfundo, mmodzi amene ali ndi obtuse njingayo.

Timazindikira ndi mfundo

Masamu kusiyanitsa mitundu ya akalumikidzidwa ndi mbali atatu: pachimake-angled, kudzanja angled ndi obtuse-angled Triangles. The katundu wa polygons yosavuta ndi chimodzimodzi kwa aliyense. Choncho, kwa mitundu onsewa anaona lochitira zimenezi. Uwerenge utali wa mbali ziwiri ndithu kukhala woposa kutambasuka lachitatu chipani.

Koma kuti onetsetsani kuti tikulankhula za chithunzi wathunthu, osati ya nsonga munthu, muyenera fufuzani kutsatira chofunika kuti ndalama obtuse kumathandiza kupeza ngodya zabwino za makona ndi wofanana ^180. N'chimodzimodzinso kwa mitundu ina ya kanjedza ndi mbali zitatu. Komabe, mu makona obtuse, ngodya imodzi adzakhala kwambiri ^90, ndi otsala awiri womangidwa kwa lakuthwa. Pankhaniyi, zidzakhala mbali yaikulu pandunji pa mbali yaitali. Komabe, izi si katundu onse a obtuse-angled makona. Koma kungodziwa zinthu izi, ophunzira angathetse mavuto ambiri Masamu.

Pakuti aliyense polygon ndi mfundo zitatu ndi zowona kuti, pamene mukupitiriza mbali, timachotsa njingayo, kukula kwa amene adzakhala wofanana Uwerenge awiri mfundo sanali pafupi mkati naye. Wozungulira obtuse makona kuchita masamu mu njira mofanana mafanizo ena. Iye Uwerenge zotalika mbali zake zonse. Kudziwa m'dera la makona ya masamu mitunduyi osiyanasiyana anachokera, malingana ndi zomwe deta poyamba anali pano.

chizindikiro zolondola

Chinthu china chofunika kwambiri pothetsa mavuto a masamu ndi chithunzi zolondola. Nthawi zambiri mphunzitsi masamu kuti zikuthandizani osati kuti muone mmene wapatsidwa ndi amafunika chiyani inu, koma 80% pafupi ndi yankho lolondola. Choncho n'kofunika kudziwa m'mene kumanga chinthu cha makona obtuse. Ngati mukufuna chabe Wonenedwa chithunzi, mungapeze polygon aliyense ndi mbali zitatu kuti ngodya imodzi inali yaitali ^90.

Ngati wina mfundo opatsidwa amayesetsa mbali kapena madigiri kumathandiza kupeza ngodya zabwino, zojambula ayenera kukhala obtuse makona malinga ndi iwo. M'pofunika kuyesa yosonyeza molondola kumathandiza kupeza ngodya zabwino pazipita, kuwerengetsa iwo ntchito protractor, ndipo mofanana atakhala deta mawu a mbali kudzionetsera.

mzere waukulu

Nthawi zambiri, ana asukulu pang'ono kudziwa mmene mungakonde anthu kapena mafanizo ena. Sangadziwe yekha asagwiritse nkhani makona mmene obtuse ndi rectangle. Masamu Inde malinga kudziwa za mbali yaikulu ya kanjedza ayenera kokwanira kwambiri.

Choncho, wophunzira aliyense ayenera kukhala tanthauzo bwino bisector, apakatikati, ndi kutalika perpendicular. Komanso ayenera kudziwa katundu zazikulu.

Choncho, bisector ngodya lagawidwa mu theka, ndipo mbali inayo malangizo - mu zigawo kuti ndi njila kwa mbali pafupi.

The apakatikati ukugawa lililonse makona mu madera awiri ofanana. Pa poti iwo intersect, iliyonse ili analigawa mu utali awiri mu chiŵerengero 2: 1, pamene ankaona kuchokera pamwamba, kumene kudali. A apakatikati lalikulu zonse unachitikira ku mbali m'munsi.

Chidwi zochepa linaperekedwa kwa okwera a. Ndi perpendicular kwa mbali ina ya ngodya ya. Kutalika kwa makona obtuse ali makhalidwe yake. Ngati ikuchitika ku nsonga lakuthwa, zilibe kugwa pa mbali ya polygon losavuta, ndi kupitiriza ake.

The perpendicular - ndi gawo amene amapita ku malo a m'mphepete mwa makona lapansi. Pa nthawi yomweyo ili pa njira yoyenera.

Ntchito ndi magulu

Pa chiyambi cha kuphunzira Masamu ana zokwanira kumvetsa mmene kudzatunga ndi makona obtuse, kuphunzira kusiyanitsa izo kwa mitundu ina, ndipo kumbukirani katundu amafotokoza. Koma ophunzira akusekondale kuti nzeru si kokwanira. Mwachitsanzo, mu mayeso MAFUNSO OFUNSIDWA KAWIRIKAWIRI za mabwalo circumscribed ndi alembedwa. Woyamba zikugwirizanirana ndi mfundo zitatu za makona, ndipo ena ali ndi mfundo ofanana ndi magulu onse.

Yomanga alembedwa kapena circumscribed obtuse makona n'kovuta kwambiri, chifukwa mukufunika kupeza komwe mukufuna pakati pa bwalo ndi utali wozungulira ake. Mwa njira, adzakhala chida chofunikira mu nkhani iyi si pensulo ndi mtsogoleri, komanso kampasi.

Ndi mavuto ofanana uka popanga polygons lolembedwa ndi mbali zitatu. Masamu anali linachokera mitunduyi zosiyanasiyana amatithandiza kudziwa malo awo molondola monga momwe kungathekere.

Triangles alembedwa

Monga tanena kale, ngati bwalo umadutsa mfundo zonse zitatu, ndiye amatchedwa bwalo circumscribed. Mbali yake yaikulu ili kuti ndi wapadera. Kupeza momwe kuti pabwino circumscribed bwalo obtuse makona, ayenera kukumbukira kuti likulu lake lili ku mphambano za midperpendiculars atatu amene amapita ku mbali ya maonekedwe. Ngati polygon pachimake-angled ndi mfundo zitatu, mfundo imeneyi adzakhala mwa iye, mu obtuse - kupitirira.

Podziwa, mwachitsanzo, kuti m'modzi wa mbali ya obtuse-angled makona ndi wofanana ndi utali wozungulira ake, n'zotheka kupeza ngodya limene lili moyang'anizana nkhope wotchuka. sine wake ndi wofanana ndi zotsatira za kugawa kutalika kwa mbali odziwika bwino 2R (kumene R - ndi utali wozungulira bwalo). Kuti ndi tchimo ngodya ndi wofanana ndi ½. Motero, mbali ndi wofanana ^150.

Ngati mukufuna kupeza utali wozungulira bwalo obtuse makona, ndiye inu mudziwe zothandiza za kutalika kwa mbali zonse (c mndime, b) ndi malo ake S. Chifukwa utali wozungulira ndi kuchita masamu motere: (c × ndime × b): 4 × S. Mwa njira, zilibe kanthu chimene icho chiri inu mtundu wa chithunzi: zosunthika obtuse makona, ndi isosceles, pachimake-angled owongoka kapena. Nthawi iliyonse, chifukwa kachitidwe, mukhoza kuphunzira malo amene a polygon ndi mbali zitatu.

ndi kansalu

Ndi zachilendo ntchito ndi mabwalo alembedwa. Malinga ndi mmodzi mwa mitunduyi, ndi utali wozungulira chithunzi chotere, ½ kuchulukitsa ndi wozungulira adzakhala ofanana kudera la makona. Komabe, kupeza zake kudziwa mbali ya obtuse-angled makona. Ndipotu, kuti aone wozungulira ½, m'pofunika anagona kutalika ndi ogaŵikana 2.

Kumvetsa kumene mukufuna pakati pa bwalo alembedwa makona obtuse, m'pofunika amathera atatu bisector. mzere uwu, umene kugawa ngodya mu theka. Ndi pa mphambano ndipo adzakhala malo a bwalo. Pankhaniyi, zidzakhala equidistant lililonse la zipani.

The utali wozungulira bwalo alembedwa obtuse-angled makona liri ndi muzu lalikulu wa mseri (pc) × (PV) × (PB): p. Pankhaniyi, p - ndi theka kukafika kutsogolo kwa makona, c mndime, b - mbali za izo.