Ihaba - ijika

Ukwakheka weJiyomethri, okuthiwa i-hyperbola, - ijika flat lesibili ukuze sibalo ehlanganisa Curves ezimbili ethathelwe ngaphandle futhi musa abaphila. Ifomula zezibalo ukuchaza kunjengoba kulandela: y = k / x, uma isibalo ngaphansi k Inkomba ayilingani zero. Ngamanye amazwi, phezulu ijika njalo ukulwela kuqanda, kodwa ngeke kube ewela naye. Kusukela isikhundla iphuzu ekwakheni ihaba - isamba amaphuzu indiza. iphuzu ngalinye ezifana libhekene ibanga njalo kusukela wemfihlo we umehluko amaphuzu amabili eqondile.

ijika Flat ukuhlukanisa izici eziyisisekelo ukuthi esivela kuphela wakhe,

• Ihaba - lawa imigqa emibili ehlukene ngokuthi amagatsha.
• Phakathi esibayeni-eksisi esikhulu maphakathi sibalo.
• Esivelele libizwa eceleni komunye ngokoMthetho amagatsha amabili.
• Ubude befokasi ibanga kusuka ijika enkabeni omunye foci (ezikhonjiswe "c" uhlamvu).
• Okuningi ihaba-eksisi uchaza ibanga emfushane phakathi kwamagatsha-imigqa.
• amanga Foci ku-eksisi ezinkulu, uma elifanayo ukusuka maphakathi ijika. Line, lokuyintfo lesekela-eksisi ezinkulu, ngokuthi eksisi transverse.
• -eksisi Semi-ezinkulu - ibanga ebalisisiwe kusukela maphakathi ijika komunye iziqongo (kuboniswa incwadi "a").
• A umugqa oqondile kuyoshaya perpendicularly ukuba eksisi transverse ngokusebenzisa isikhungo waso, owayebizwa ngokuthi eksisi conjugate.
• ipharamitha Focal ichaza isikhawu phakathi focus kanye ihaba ukuthi perpendicular axis awo transverse.
• Ibanga phakathi focus kanye asymptote libizwa umthelela ipharamitha futhi ngokuvamile okubhalwe ku amafomula ngaphansi incwadi «b».

Ngo ezivamile Cartesian kwesibalo aziwa ngalo ukwakhiwa may hyperbola libukeka: (x ^2/2) - (y ² / b ²⁾ = 1. Uhlobo ijika ukuthi ine okufanayo nengxenye yomugqa libizwa equilateral. Encwadini unxande Ukudidiyela uhlelo, kungenzeka ukuchaza kwesibalo elula: xy = a ^2/2, ne foci we hyperbola kufanele sise amaphuzu empambana (a, a) no (-a, -a).

Ngamunye parallel hyperbola ijika esingaba khona. Lena inguqulo yakhe we conjugate, lapho ama-eksisi emuva, ne asymptote ahlale phansi. izakhiwo Optical ijamo wukuthi umthombo ngengqondo ukukhanya focus kwegatsha lesibili uyakwazi zibonakale futhi aphazamise at focus yesibili. Yingasiphi bezikhali hyperbola unobuhlobo njalo ibanga focus kunoma ibanga ukusuka directrix. Ejwayelekile ijika flat kungenzeka abonise kokubili esibukweni wesimethri ukujikeleza uma ijikelezwe ngokusebenzisa 180 ° phakathi.

I eyinqaba we hyperbola kuchazwa isici kwamanani isigaba conic, okuyinto esigabeni cross ikhombisa degree sokusuka kusuka embuthanweni ephelele. Ngo zezibalo, lesi sibalo kuboniswa incwadi "e". Eyinqaba ngokuvamile invariant mayelana indiza ukunyakaza futhi inqubo ukufana yayo kugucuka. Hyperbola - figure lapho eyinqaba uhlale elilingana lihlela isilinganiso phakathi kwama ubude ebalulekile futhi eksisi ezinkulu.