Inkcazo yokudibanisa kwaye yintoni ubudlelwane obuhambelanayo?

mohamed elsharkawy
Iinkcukacha zajikelele
mohamed elsharkawyIsifundi sobungqina: nancyNgoSeptemba 18, 2023Uhlaziyo lokugqibela: kwiinyanga ezi-9 ezidlulileyo

Inkcazo yokudibanisa

Ukumanyanisa lumsebenzi wemathematika osetyenziswa kwimathematika, kwaye yinkqubo eguquguqukayo yokwahlula. Udibaniso lusetyenziselwa ukufumana amanani amaninzi aluncedo, njengeendawo, imiqulu, ukufuduswa, njl. I- integral imelwe sisimboli ∫, eyohlulwayo. Ukudityaniswa ngokufakela endaweni yinkqubo eluncedo ekutshintsheni imo yesihlanganisi kwifomu eqhelekileyo, yenze kube lula ukuyifumana. Ukudityaniswa kukudityaniswa komthamo wokwahlula-hlula, uluvo lwemathematika olusivumela ukuba sifumane indawo, umthamo, ubunzima, okanye nayiphi na isethi yezinto ezingenasiphelo.

Cacisa ukudibanisa ngendlela elula

Ziziphi iintlobo zokudibanisa?

Kukho iindidi ngeendidi zokudibanisa kwimathematika. Ezi ntlobo ziquka ukuhlanganiswa okungenamkhawulo kunye nokudibanisa okulinganiselwe. Isidibanisi esingenasiphelo siyinxalenye eyohluliweyo yomsebenzi xa kungekho mda uthile wokudityaniswa, oku kuthetha ukuba ingabalwa kulo naliphi na ixabiso lenguqu ezimeleyo. Ngokuphathelele udibaniso oludaliweyo, yinkqubo ebala indawo phantsi kwegophe elithile nangaphezulu kwe-x-axis kuluhlu oluthile. Ezi ntlobo zihlukeneyo zokudibanisa zisetyenziselwa kwiinkalo ezahlukeneyo ezifana nezibalo, i-physics, i-economics, ubunjineli, njl., apho iingcali zisebenzise ukuxazulula iingxaki, ukuhlalutya idatha, kunye nokusebenzisa imizekelo enzima.

Ziziphi iimpawu zokudibanisa?

Iipropati zokudibanisa yimithetho kunye neengqiqo ezisebenza kwinkqubo yokudibanisa kwimathematika. Iipropati zokudibanisa zinceda ukwenza lula imisebenzi yezibalo kwaye zibonelele ngeendlela zokubala ngokulula amaxabiso afunekayo. Kukho iimpawu ezininzi ezibalulekileyo zokudibanisa, kuquka:

  1. Ipropati yomyalelo: Oku kuthetha ukuba imida yokudibanisa inokumiselwa kwaye imida yokudibanisa enexabiso elifanayo inokumiselwa. Ngamanye amazwi, imigaqo yokudibanisa kwi-equation inokutshintshwa ngamanye amagama anexabiso elifanayo, ngaphandle kokutshintsha umphumo.
  2. Isishwankathelo kunye nepropati yomahluko: Inkqubo yokudibanisa ingaguqulelwa kwisixa okanye umahluko wemisebenzi emininzi. Ngale ndlela, imisebenzi inokwenziwa lula kwaye kulula ukubala amanani afunekayo.
  3. Ipropati eguqukileyo: Ukuba imveliso yesidibaniso phakathi kwezithuba ezibini ezikhankanyiweyo ilingana nenegative yemveliso phakathi kwezithuba ezimbini eziguquliweyo, le propati ingasetyenziselwa ukwenza lula ukusebenza.
  4. Ipropathi elinganayo yokudibanisa: ibonisa ukuba izinto eziqhelekileyo kwimisebenzi zinokukhethwa ukwenza lula inkqubo yokudibanisa kunye nokuququzelela ukubalwa kwesiphumo.

INkcaza yeSifundo: IiPropati zoManyano oluQinisekileyo | Najwa

Ziziphi izinto ezisisiseko zokudibanisa?

Imithetho esisiseko yokudibanisa yinxalenye ebalulekileyo yemathematika kwaye imele izixhobo ezisisiseko kwisifundo sokudibanisa. Kuyanceda ukuqonda iikhonsepthi ezininzi kunye nokusetyenziswa kule nzululwazi yemathematika. Le migaqo inxulumene nokudityaniswa kunye namandla, ukwahlulwa kwemisebenzi, kunye nemithetho yokwahlula kunye nokudibanisa.

Enye yezinto ezisisiseko zokudibanisa kukuba yinkqubo eguquguqukayo yokwahlula. Nangona ulwahlulo lujongene nokwazi izinga lokutshintsha komsebenzi ngokubhekiselele ekuguquguqukeni kwayo, ukudibanisa kugxininise ekubaleni indawo ephantsi kwegophe lomsebenzi phakathi kwezilungelelaniso zayo. Ngokunjalo, i-calculus esisiseko sisifundo esisekwe kwingqikelelo yemida kunye nemisebenzi.

Ukongeza, imithetho esisiseko yokudibanisa iwela phantsi kwezinye iikhonsepthi ezifana nokuqhubeka kunye nee-exponents. Ngokuqhubekeka kunye nee-exponents, abafundi banokuqonda ubudlelwane obahlukeneyo phakathi kwemisebenzi kunye nemithetho yohlanganiso, kubandakanywa umgaqo wokumanyaniswa kwamandla kunye nomthetho we-symmetry wemisebenzi eguquguqukayo.

Ngokubanzi, kunokuthiwa ukufundwa kwemigaqo esisiseko yokudibanisa igalelo ekuqondeni okunzulu kwemathematika kwaye ivumela ukusetyenziswa kokuhlanganiswa kwiinkalo ezahlukeneyo ezifana nobunjineli, i-physics kunye nesayensi yekhompyuter. Ke ngoko, ukuqonda ezi ziseko kubalulekile kuye nabani na onomdla kwisayensi yemathematika.

Ingqikelelo yokudityaniswa kwimathematika - Ingcamango yokuHlanganisa - iYouTube

Ingaba indawo ibalwa njani ngokudityaniswa?

Ummandla ungabalwa ngokuhlanganisa kwimathematika. Ukudityaniswa kuchazwa njengokwenziwa ngokubanzi kokwahlulwa-hlulwa kobuninzi obucacileyo obunjengendawo, umthamo, ubunzima, kunye naso nasiphi na isixa sezinto ezincinci. Ukudibanisa kujongwa njengesixhobo sokubala indawo eboshwe yigophe. Kulo mongo, udibaniso lusetyenziswa ukufumana indawo yommandla phakathi kweegophe ezimbini okanye ngaphezulu. Kuyimfuneko ukubonelela ngee-curves zemisebenzi kwaye ufumane amanqaku okudibanisa phakathi kwabo. Imimandla yokubala ngokudibanisa ichazwa njengento edibeneyo ye-curve ephezulu kwi-axis ethe tye ekhutshwe kuyo. Udibaniso lunokusetyenziselwa ukubala iindawo zokubala ngokufaka amaxabiso kwindawo edityanisiweyo ukuze ufumane amanqaku okudibana phakathi kweegophe.

Ngaba isithuba sinokuba negative?

Abaninzi bayazibuza ukuba isithuba sinokuba sibi. Nangona sisazi ukuba loo ndawo iyisixa esivumayo esichaza indawo ethathwe yinto, kukho iimeko apho ixabiso elipheleleyo lendawo libonakala njengexabiso elingalunganga kwezinye iimeko zokudityaniswa okuqinisekileyo.

Xa ubala udibaniso oluqinisekileyo lwegophe, ingqwalasela ikwindawo ephakathi kwegophe kunye ne-x-axis. Kwezinye iimeko, le ndawo inokuba ngaphantsi kwe-x-axis, oku kuthetha ukuba ixabiso elipheleleyo lendawo liya kuba libi.

Ngoko ke, uphawu olubi lubekwe phambi kokudibanisa ukugxininisa ukuba indawo ayinakuba yimbi. Xa kubalwa okudityanisiweyo okuqinisekileyo kwezi meko, amaxabiso apheleleyo ale ndawo asetyenziselwa ukuthintela ukufumana ixabiso elibi, ngokungahoyi uphawu olubi.

Kufuneka kwakhona sikhankanye ukuba udibaniso yenye indlela yokubala indawo, kwaye xa lubonisa kwiifomyula zemathematika indawo engaphantsi kunoziro, oku kutolikwa ngengqiqo yokuba iindawo eziza kubalwa zingaphantsi komgca ongu-x kwaye ke ngoko zingaphantsi kunoziro ixabiso elipheleleyo.

Okokugqibela, sinokuthi ixabiso elipheleleyo lendawo alikho mbi, kodwa elona xabiso lelona xabiso liqinisekileyo linokuba libi ukuba kukho indawo engaphantsi komgca ohamba nomgca kax. Eli xabiso liyanelisa injongo yokubala indawo ngaphandle kokuba indawo ngokwayo ibe nebi.

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