Zibalo yomgama omnye zambini variables, ukungalingani linear

Esi sifundo nawuphi na umfundi eqala ukufunda okungakumbi kwisikolo samabanga aphantsi, xa imiqondiso "ngaphezulu" wavingcela, "ngaphantsi kune" ne 'lingana ". Olu hlobo zibalo kunye nokungalingani yenye lula yonke ikharityhulam ukuze lonke ixesha abafundi yoqeqesho. Isisombululo unguYe na lenxaki kunye nokungalingani amathumba phantsi ukuze lula ukuba uhlobo yomgama. Njani inkangeleko quadratic yomgama kunye nokungalingani?

Kulo lenxaki, lo bengaziwa kwi isidanga sokuqala, nto leyo evumela ukuba umane yaye ngokukhawuleza kwahlula variables rhoqo, ngokuzibeka kumacala ahlukeneyo kwipleyiti ukwahlula (ukulingana okanye nokungalingani). Indlela sinokujonga indlela ukunceda ngokukhawuleza nangokulula ukusombulula nayiphi i'quadratic yomgama?

Zicingele khona equation 3 - 89 = (5x - 32) / 2. Into yokuqala ukuyenza - ukuba lula yinxalenye iqhezu yokuphindaphinda nge 2 yonke nxaki. Ngoko umphumo uya kuba ukuba 6x - 178 = 5x - 32 Enyanisweni oko - yinto quadratic yomgama. Ngoku kufuneka ukuba lula kuyo, ihamba zonke ezitshintshayo kwicala lasekhohlo, kwaye isigxina - ukuya ngasekunene. Umphumo iya kuba ukuba x = 146. Ukuba lingabali mkhulu kunalowo variable, kufuneka uwucandile lonke quadratic yomgama, yaye kulo mzekelo, ukuze ufumane impendulo kuyimfuneko.

Kukwanjalo uya kuba ukungalingani. Okokuqala, kufuneka wenze ukungalingani yomgama, yaye emva - ukuhambisa variables ecaleni lakhe lasekhohlo, kwaye isigxina - ukuya ngasekunene. Emva koko, ukungalingani yomgama lula kwakhona ratio bume ngokulinganayo kumanyano. Impendulo ukungalingani ifunyenwe ngokuzenzekelayo, ngoko ke kuyimfuneko kuphela ukongeza kwi imilo ezinqwenelekayo (ngohlobo lwe kukho ukungalingani, slot okanye umsantsa kwi esqwini).

Njengoko kungaba kuqondwe ngokwezi nkcukacha zingentla apha, yomgama zibalo kanye Ukungalingani kakhulu elula, ucelele aphantsi kwisikolo sabantwana. Nangona kunjalo, kufuneka kukhunjulwe ukuba olu hlobo kwizibalo kikho.

Kukho umbono wabo njengoko kumgama owazisayo quadratic kunye ezimbini eziguquguqukayo. Indlela yokusombulula kubo? Le yinkqubo ngobulungisa ixesha elide nelityayo ixesha. Esikolweni, iimeko ezifanayo aqalile ngobuso kwisikolo samabanga aphakamileyo, ngoko, quadratic linear kunye yezahlukileyo ezimbini ingabalelwa nezihloko ezininzi phambili.

Masithi kukho 2x inxaki + y = 3x + 17. Into yokuqala ukuyenza - kukubonakalisa elinye inani elingaziwayo ngomnye. Kuyinto elula ngokwaneleyo: omnye bume kuthathwa kwicala lasekhohlo, nazo zonke ezinye izinto kunye namanani - ukuya ekunene; oko kusonjululwa zonke quadratic linear kunye variables ezimbini. Ngenxa yoko, ufumana inxaki ifom y = x + 17. Impendulo kubonakaliswa ukuhlela lo msebenzi ngendlela nokulungelelanisa inkqubo kunye umgca othe ngqo. Apha nokusombulula iikoteshini linear kunye variables ezimbini.

Kufuneka kuqatshelwe ukuba ukongeza quadratic e yezahlukileyo ezimbini, kukho ukungafani ezifanayo. Mu kuya kwa nshita zibalo, impendulo yona igrafu umsebenzi, ukungalingani uqukumbela impendulo yakhe moya echazwe kule shedyuli. Kubangel 'umdla ukwazi ukuba ukungalingani engqongqo, igrafu Asingeni!

Ngoko ke, ngoku unokuyithelekelela indlela yokucombulula quadratic yomgama kunye nokungalingani. Nangona lo mxholo Kulula kakhulu ukufunda, oko ukunikela ingqalelo, kuba ezinye ubuqili isenokungabi icace kakhulu ukuba kuvavanyo yolawulo kunokukhokelela bugs ezingcolileyo ukunciphisa amanqaku ewonke kunye. Linear equation - yinto elula, eyona nto ibalulekileyo - ukuba bathobele imithetho zemathematika efunekayo, ezifana kwisahlulo okanye ukuphinda yonke alenxaki naliphi na ixabiso, izinto transfer umsebenzi kophawu olulinganayo, lo yatshati efanelekileyo, ingxelo impendulo abanobuchule.

Ukwazi indlela yokubhala efanelekileyo nokusombulula iikoteshini yomgama kunye nokungalingani, uya kuba nako ukuqonda kunye neentlobo ezininzi entsonkothileyo kwizibalo kunye nokungalingani. Kungenxa yoko le nto kusifikeleyo oku umba ibalulekileyo ngokwaneleyo - phantse lembombo yemathematika, ngokuba kwemimiselo zokusombulula imizekelo ezinjalo isiseko yesabelo ingonyama isigqibo ngayo ezi quadratic enye, ukungalingani kunye neengxaki.