Chord kureba: dzinokosha pfungwa

Pane zviitiko muupenyu kana nezivo panguva dzidzo, zvinobatsira chaizvo. Kunyange zvazvo panguva zvidzidzo, mashoko aya sokuti hakunakidzi uye zvainobatsira. Somuenzaniso, ungashandisa sei mashoko sei kuwana urefu Chord? Tinogona kufunga kuti nekuda ounyanzvi hwokugadzira, kwete ukama sayenzi chaiyo, zivo yakadaro ndiyo shoma kushandiswa. Zvisinei, mumwe anogona kumbotipa mienzaniso yakawanda (kubva zvakagadzirwa Christmas zvokupfeka kuti yakagozha ndege mano) apo nekugadzirisa unyanzvi ari geometry mabasa vari okushamisira.

Pfungwa yokuti 'Chord "

Shoko iri rinoreva "hungiso" mududziro kubva mutauro yokumusha Homer vake. Wakatangwa mathematicians rekare kumwedzi. Chord akasarudzwa pasi chepuraimari geometry chikamu achirurama mutsetse iyo richibatanidza mbiri zvemasanga pfungwa imwe munyonga (denderedzwa, parábola kana ellipse). Nemamwe mashoko, geometric coupling chinhu riri pamusoro mutsetse intersecting ari kupiwa munyonga pakawanda. Kana ari sekamufarenzi zviri Chord nhema pakati maviri pfungwa nhamba.

Part of ndege rakatenderedzwa mutsetse intersecting denderedzwa, uye anonzi chinhu chakakombama chidimbu. Zvinogona kucherechedzwa kuti pamwe tinosvika kuna nechepakati Chord urefu inowedzerawo. Part circumferentially iri pakati mbiri dzinokosha mharadzano iyi yakarurama mutsetse anonzi chinhu chakakombama. Zviri chiyero nechepakati angled. Pamusoro ichi geometrical mufananidzo uri pakati denderedzwa uye ane mativi vanomhanya vachipinda mharadzano pfungwa Chord pamwe denderedzwa.

Properties uye Formula

ari Chord Kureba denderedzwa zvinogona dzaona maererano zvinotevera ndokunge mashoko:

L = D × Sinβ kana L = D × Sin (1 / 2α), apo β - pakona panguva vertex yacho yakanyorwa Triangle;

D - dhayamita of denderedzwa;

α - nechepakati angled.

Unogona kusarudza vamwe zvivako zviri chidimbu ichi, uyewo mamwe Nhamba chokuita nayo. Pfungwa idzi inoratidzwa zvinotevera zvawanyora:

• Chero chords or the vari equidistant kubva pakati zvakafanana kureba, uye kurukura ndezvechokwadiwo.
• pamakona ose nokudhindwa denderedzwa uye zororo iri vakawanda chidimbu unobatanidza mbiri pfungwa (pamwe vertices dzavo dziri pane rumwe chinhu) vari zvakakura zvikuru.
• The guru ndiro Chord dhayamita.
• Verengai chero maviri pamakona, kana ivo vanovimba chidimbu ichi, asi yadzo vari kumativi akasiyana noruremekedzo kwaari, ndiko ^180.
• Chord Large - zvichienzaniswa zvakafanana asi maduku chaikosha - nhema pedyo pakati geometric nhamba.
• makona All, zvakanyorwa uye inobva dhayamita ose 90˚.

mamwe kukarukureta

Kuti tiwane Kureba dzeraundi makavharidzira chinhu chakakombama, riri akanyudzwa pakati kumigumo chords or the, anogona kushandisa nzira Huygens. Izvi zvinoda matanho aya:

1. We kureva aida ukoshi S. uye Chord dzinojata chikamu chino denderedzwa uchanzi AB.
2. Tinoona pakati chidimbu AB, uye kuisa perpendicular. Zvinogona kucherechedzwa kuti dhayamita yacho denderedzwa, nokubuda kuburikidza nechepakati Chord anoumba rworudyi angled naro. The kurukura ndokwechokwadi. Panyaya iyi, pokuti dhayamita achipfuura nepakati Chord, neVadzidzi denderedzwa runotaurwa M.
3. Ipapo zvikamu NDIRI uye BM ukuwo, anogona kutaurwa sezvo L uye L.
4. The chinhu chakakombama urefu anogona dzaona kubudikidza mutoo: r≈2l + 1/3 (2l-L). Zvinogona kucherechedzwa kuti ari hama kukanganisa aya kunowedzera kuwedzera angled. Saka, kana 60 zviri 0.5%, uye ive chinhu chakakombama wakaenzana 45˚, ukoshi ichi ipfupi kuti 0.02%.

Chord urefu inogona kushandiswa muminda siyana. Somuenzaniso, Masvomhu uye magadzirirwo pamusoro flanges, izvo mune unyanzvi. Unogonawo kuona kukarukureta chinokosha ichi mu ballistics kuziva kutiza chinhambwe pakati mabara zvichingodaro.