Gudziramukanwa - mumwe munyonga

The geometric inotungamirwa, iyo inonzi hyperbola, - a sandara munyonga rechipiri kurongeka mufananidzo zvinosanganisira makakombama maviri kuti vanokweverwa kunze uye regai bindepinde. The kwemasvomhu payakavakirwa kutsanangura zviri sezvinotevera: y = K / X, kana nhamba pasi indekisi, k haana kuenzana razero. Nemamwe mashoko, kumusoro munyonga tichingotarisira kuvavarira zero, asi haana achaiswa akayambuka naye. Kubva nzvimbo yacho chokuvakira gudziramukanwa - Verengai pfungwa mundege. Mumwe pfungwa yakadaro kunoratidzwa kugara kure kubva modulus musiyano maviri zvatichiri pfungwa.

Flat munyonga kusiyanisa dzinokosha zvinhu zviri yokusafa chete kwaari,

• Gudziramukanwa - ava vaviri vakaparadzana mitsetse anonzi mapazi.
• Pakati pamafuro huru akabatana ndiwo musimboti nhamba.
• Porusvingo ari pedyo nepedyo akadana tichitarisa mapazi maviri.
• Zvatichiri kureba daro kubva munyonga nepakati rimwe foci (runotaurwa "c" tsamba).
• gudziramukanwa zvikuru akabatana rinotsanangura pfupi kure pakati pamatavi-mitsetse.
• Foci nhema pamusoro huru akabatana, akapa daro chete kubva pakati munyonga. Line, iyo inotsigira chikuru akabatana, inonzi transverse akabatana.
• Semi-chikuru akabatana - ndiyo chinhambwe dzaona kubva pakati munyonga nomumwe nenhongonya (zvinoratidzwa tsamba "mumwe").
• A achirurama mutsetse pakukoka perpendicularly kune transverse akabatana kuburikidza payo, yainzi Conjugate akabatana.
• Zvatichiri parameter inorondedzera penguva pakati pfungwa uye gudziramukanwa iri perpendicular ayo transverse akabatana.
• Kure pakati pfungwa uye asymptote inonzi zvazvinoita parameter uye kakawanda encoded mune zvokuimba pasi tsamba «b».

In kwakajairika Cartesian anozivikanwa mukana wokuti vanhu vanga naro kuvaka angabvuma hyperbola sokunge: (x ^2/2) - (and ² / b ²⁾ = 1. mhando munyonga ine chete hafu-mutsetse inonzi equilateral. Mune rectangular batanidza Hurongwa, zvinokwanisika kutsanangura kungoenzanisa: xy = ane ^2/2, pamwe foci iri hyperbola zvinofanira riri panguva mharadzano pfungwa (a, a) uye (-a, -a).

Mumwe yakafanana hyperbola munyonga angawanika. Iyi shanduro yake Conjugate, umo namasanhu vari kunoshandurwa, pamwe asymptote kuramba pasi. Optical ehupfumi pamusoro pezvakaita ndiko yokufungidzira chiedza bhuku iri chinangwa bazi rechipiri anokwanisa kuratidzei uye kupindira panguva yechipiri pfungwa. Chero pfungwa zvinogona kubva hyperbola ane kugara ukama kuti daro pfungwa chero chinhambwe kubva directrix. Typical sandara munyonga anogona kuratidza zvese mugirazi rotational symmetry kana zvayaitenderera paguyo kuburikidza 180 ° pakati.

The eccentricity of hyperbola richinzi kusanganiswa cho munhu conic chikamu, izvo muchinjikwa chikamu chinoratidza mwero yakatsauka kubva akakwana denderedzwa. In kwemasvomhu Masvomhu, chirungamutauro zvinoratidzwa tsamba "e". Eccentricity Kazhinji invariant noruremekedzo kuti sangano ndege uye muitiro waro kufanana transformations. Hyperbola - nemifananidzo umo eccentricity anogara akaenzana reshiyo pakati musimboti wokuzadzika kureba zvikuru akabatana.