Madenderedzwa Emadenderedzwa: Kufumura Chakavanzika Uye Runako rweGeometry
Denderedzwa iri ndeimwe yemaumbirwo anozivikanwa zvikuru uye rinowanzoonekwa serakakwana. Madhisiki ekutenderera, mavhiri anotenderera, uye kunyange marongero ari pedyo nekukwana emapuraneti zvese zvinoratidza kuvapo kwemadenderedzwa. Zvisinei, pane chimwe chinhu chedenderedzwa chisingawanzo kutariswa zvakakwana: arc. Chinyorwa chino chichaongorora zvakadzama kuti arc chii, maverengero ayo kureba, uye mashandisirwo ayo akasiyana-siyana uye runako muhupenyu hwezuva nezuva.
Tsanangudzo yeDenderedzwa Arc
Arc chikamu chedenderedzwa redenderedzwa chinotambanuka pakati pemapoinzi maviri padenderedzwa. Zvichitaurwa zviri nyore, kana tikafungidzira denderedzwa sepai hombe, arc chikamu chepai iyoyo. Mu geometry, arcs dzinowanzonzi "arcs" uye dzinouya mumhando dzakasiyana zvichienderana nekureba kwadzo: arcs refu (major arcs) uye arcs pfupi (minor arcs).
Munyaya yemasvomhu, arc inogona kutsanangurwa nezvinhu zvakasiyana-siyana, zvakaita semagumo ayo maviri anonzi mavambo nemagumo, uye pakati payo iyo, kana yakabatana nepakati pedenderedzwa, inoumba kona.
Kuverenga Hurefu hweArc yeDenderedzwa
Kuverenga urefu hwearc yakatenderera kunoda ruzivo rwakakosha, kunyanya radius yedenderedzwa ne central angle inoumbwa ne endpoints mbiri dzearc. Iyi central angle inowanzo ratidzwa mumadhigirii kana ma radians.
Fomura inonyanya kushandiswa yehurefu hwedenderedzwa remusero ndeiyi inotevera:
– Arc Length (s) = θ/360° × 2πr
Di mana:
– θ ndiyo saizi yekona (mumadhigirii),
– r ndiyo nharaunda yedenderedzwa.
Kana kona ikaratidzwa muma radians, fomura yacho inova nyore:
– Kureba kweArc (s) = θ × r
Apo θ ndiyo kona iri muma radians.
Semuenzaniso, kana tine denderedzwa rine radius ye 10 cm uye central angle ye 60°, saka tinogona kushandisa fomura yekutanga:
– Kureba kweArc = (60/360) × 2π × 10 = (1/6) × 20π ≈ 10,47 cm
Nzira iyi yekuverenga inoratidza kuti hukama hwakasimba sei pakati pekona yepakati, radius yedenderedzwa, uye kureba kwearc.
Hunhu uye Hunhu hweUta
Matanda akatenderera ane zvinhu zvakawanda zvinonakidza zvekucherechedza:
1. Kuenzana: Denderedzwa chimiro chejometri chakaenzana zvikuru. Nokudaro, denderedzwa rega rega rine denderedzwa remubatsiri iro, kana rabatanidzwa, rinoumba denderedzwa redenderedzwa rakakwana.
2. Kuenzana: Kureba kwearc kunogara kuchienderana nehukuru hwekona yepakati yainoumba. Arc inoumbwa nekona yepakati ye180° ichave nehurefu huri hafu yedenderedzwa redenderedzwa.
3. Angle Yakatetepa: Makona ari mudenderedzwa rakatarisana nearc ane hukama hwakakosha. Kana nzvimbo dzekutangira nedzekumagumo dzearc dzakabatana nechero nzvimbo iri mudenderedzwa, kona inozivikanwa seangle yedenderedzwa uye inogara yakaenzana zvakananga neangle yepakati yakatetepa nearc yekutanga.
Kushandiswa kweArc Yakatenderera
Runako rwedenderedzwa iri harisi chete muhunhu hwaro hwemasvomhu, asiwo mukushandiswa kwaro kwakawanda muhupenyu hwezuva nezuva. Heano mimwe mienzaniso:
1. Magadzirirwo neMagadzirirwo: Mumagadzirirwo ezvivakwa, matanda akatenderera anowanzo shandiswa mukugadzira mabhiriji, madhomu, nemasuo. Magadzirirwo akakombama haasi ekungoyevedza chete asiwo anopa simba riri nani remagadzirirwo ezvivakwa.
2. Kuronga Nzvimbo uye Kuronga Maguta: Mukugadzira maguta, migwagwa nenzira dzekutakura vanhu dzinowanzo shandisa ma arc akatenderera kuti zvive nyore uye zvinobudirira kufamba. Semuenzaniso, makombama mumigwagwa anowanzo kugadzirwa nema arc curves kuti vatyairi vagare zvakanaka uye vagare zvakanaka.
3. Makanika neFizikisi: Mukudzidza nezvemakanika, pfungwa yedenderedzwa resimbi inoshandiswa kunzwisisa nzira yekufamba kwechinhu chiri kutenderera kana kufamba munzira yakakombama. Semuenzaniso, mukufamba kweparabolic kana nzira yechinhu chinoburitswa, nzira inogona kuenzaniswa sechikamu chedenderedzwa resimbi.
4. Unyanzvi: Muunyanzvi, mativi akatenderera anowanzo shandiswa mukunyora uye magadzirirwo ekugadzira runako runonakidza. Vanyori nevagadziri vemifananidzo vanoshandisa pfungwa yemativi kuti vagadzire zvinhu zvinopindirana uye zvakaenzana mubasa ravo.
Runako rweMadenderedzwa muhupenyu hwezuva nezuva
Kupfuura mashandisirwo ayo anoshanda, denderedzwa remuseve rinopa runako runoshamisa rwatinosangana narwo muhupenyu hwezuva nezuva. Kubva pamiraraungu inotenderera mudenga kusvika kumagadzirirwo ezvishongo zvinoyevedza, denderedzwa remuseve rinomiririra kuenzana uye kukwana.
Semuenzaniso, muraraungu chinhu chakanaka chinoonekwa kana chiedza chezuva chichibuda mumadonhwe emvura ari mumhepo. Muraraungu une mavara ese erudzi urwu akarongwa zvakanaka, zvichigadzira panorama inoshamisa.
Munyika yezvekubika, tinowanzoona madenderedzwa akatenderera pamadhizeti kana makeke akakombama, zvichiita kuti chitarisiko chitaridzike zvakanaka.
Hazvifanirwe kupotsa, mumitambo, nzira dzekumhanya dzinowanzogadzirwa sechimiro chedenderedzwa chine mativi maviri akatenderera uye mitsara miviri yakatwasuka. Izvi zvinobvumira vatambi kuti varambe vachimhanya vasingarasikirwe nekufamba kwenguva pavanenge vachitendeuka.
Mhedziso
Arc chinhu chakagadzirwa nejometri chakazadzwa nerunako uye mashandisirwo anobatsira. Nekunzwisisa kureba kwearc, hunhu hwayo hwakakosha, uye mashandisirwo ayo akasiyana-siyana, tinogona kunzwisisa zviri nani kuenderana kwemasvomhu muhupenyu hwezuva nezuva. Kubva pakuvaka kwakanaka uye kuronga nzvimbo zvakanaka kusvika pakunyaradzwa kweunyanzvi, arc inoramba ichiita basa risingatsiviwi. Tichifunga nezvekubatanidzwa kwayo kukuru, ngatirambei tichiona arc kwete sechikamu chedenderedzwa chete, asi sechiratidzo cherunako rwakachena uye kugarisana munyika yedu.
