Iindidi zemisebenzi yemathematika

Makhe sazi Zonke iintlobo zemisebenzi yezibalo, into ebalulekileyo kubo bobabini abafundi kunye nabathandi besebe lezenzululwazi, ukuze bafumane isiseko esibalulekileyo sokuqhubeka nokuqhubela phambili kulwazi lwabo.

Yintoni imisebenzi yemathematika

Umsebenzi kukudibana phakathi kweeseti ezimbini okanye ubuninzi ngendlela yokuba ukulingana kwamaxabiso kusekwe phakathi kweyokuqala neyesibini.

Singamela umsebenzi ngokomzobo ukuze siqwalasele ubudlelwane phakathi kwezi zinto zombini, eziququzelela ukuqonda kwayo kwaye ngaphezu kwako konke zivula iingqondo zethu ukuba zikwazi oko sikubalayo ngokwenyani.

Khumbula ukuba imathematika inokuba intle kakhulu kodwa kuphela ukuba siyaziqonda iinkqubo kunye neenjongo, kuba, ukuba asinaso isiseko esihle kwaye sigxile kubalo kuphela, ekugqibeleni singagcina sisiba sisifundo esonyuselwa kakhulu . Ke kubalulekile ukuba, ukongeza kwimisebenzi yokubala, uchithe ixesha elithile uhlalutya intsingiselo yazo kwaye, koku, eyona nto unokuyenza kukumela imizobo.

Zonke iintlobo zemisebenzi yezibalo

Nje ukuba siwuqonde umxholo womsebenzi, singaqhubeka nokuhlalutya zonke iintlobo zemisebenzi yemathematics ekhoyo namhlanje.

Umsebenzi oqhubekayo

Omnye Umsebenzi oqhubekayo Yeyona sinesiphumo esinye sokwenza lo msebenzi, ukuze sifumane into efana nale sinokubona kulo mfanekiso ulandelayo, oko kukuthi, umgca othe tyaba:

Umsebenzi we-quadratic

Omnye Umsebenzi we-quadratic ngumsebenzi wohlobo f (x) = i-ax2 + bx + c, a, b no c iyakuba zizinto ezisisigxina, ezahlukileyo ku-zero nakweyiphi na imeko. Ngale ndlela, into efunyenweyo yiparabola enokuvulwa okanye yehle, kuxhomekeke ekubeni ixabiso linexabiso elingaphezulu kweqanda, okanye ukuba lixabiso elingaphantsi kuka-zero. Kwimeko apho lixabiso eliphezulu, liya kuvulelwa phezulu, kwaye ukuba lixabiso elingaphantsi kune-zero, liya kuvulelwa ezantsi.

Kufuneka kuqatshelwe ukuba imisebenzi ye-quadratic yimisebenzi ye-polynomial.

Umsebenzi womgca

La ubumnandi bomgca yeyona inemilo f (x) = mx + b, apho m yile nto ithambeka libonisa, ngelixa b lixabiso ku-y, ukuze kufunyanwe umgca othe tye kodwa ngeli xesha utyekelo oluthile okanye ithambeka.

Kubalulekile ukubeka ingqalelo Umsebenzi olinganayo ngumsebenzi we-polynomial, Uhlobo lomsebenzi esiya kufunda ngakumbi ngalo ngezantsi.

Umsebenzi we-polynomial

Ngokuphathelele Umsebenzi we-polynomial, ngumsebenzi onamanani okwenyani kunye nenani elipheleleyo elichazayo. Kufuneka kuqatshelwe ukuba i-domain yayo yonke imisebenzi ye-polynomial iseti yamanani okwenyani.

Umsebenzi oqiqayo

Okokugqibela sine umsebenzi oqiqayo Esisiphumo sokudibana kwemisebenzi emibini ye-polynomial, ukuze kufunyaniswe ukuba q (x) = f (x) / g (x).

Enye inkcukacha yokugcina engqondweni kukuba i-domain yomsebenzi we-polynomial ufumana amanani okwenyani.

Umsebenzi womgca

Xa sithetha malunga nomsebenzi we-affine, kufuneka siyichaze loo nto ngumsebenzi we-polynomial. Oko sikukhankanyile kolu luhlu lwemisebenzi yemathematics. Ke ngoko, ukubuyela kwi-affine, ichazwa njengaleyo ingadluli kwimvelaphi yolungelelwaniso, oko kukuthi, ayichukumisi inqaku le-0,0. Yimigca elawulwa yile fomyula ilandelayo:

F (x) = mx + n

I-m iya kuba yithambeka, oko kukuthi, ukutyekela ngokubhekisele kwi-X axis okanye kwi-abscissa. xa ulungile, umsebenzi kuthiwa uyanda. Ke ukuba ayilunganga, iya kuncipha. I-n iya kulungelelaniswa, indawo apho umgca uya kusika i-axis yokulungelelanisa.

Umsebenzi wesazisi

Kungumsebenzi weseti uqobo. Oko kukuthi, umfanekiso walo naluphi na uhlobo lwento uya kufana. Sihlala siyibona nge-id. Xa sithetha ngomsebenzi wesazisi sikwathetha ngomsebenzi olayini, apho m alingana no-1 kwaye adlula kwi-axis yokulungelelanisa. Oku kuthetha ukuba iyakwahlulahlula ikota yokuqala neyesithathu, kwaye zombini, zilingane ngokulinganayo. Khumbula ukuba i-id iya kuhlala iyinto engathathi hlangothi

I-id r: R-R

I-id r (x): = x

Umsebenzi weCubic

Sithetha ngemisebenzi yesidanga sesithathu, apho elona likhulu libonisa x liphakanyiswe laya kwisithathu. Khumbula ukuba i-nonzero. Inokuba nengcambu enye okanye nangaphezulu.

f (x) = izembe ³ + bx ² + cx + d

Umsebenzi obonakalayo

Kwisiseko sayo ihlala i-a kwaye u-x oguqukayo uya kubonakala njenge-exponent. Isiphumo somsebenzi wokubonisa siya kuba ngokulinganayo kwixabiso lomsebenzi. Ke ngoko, ukuhlala kwalo mlinganiso kuya kuba yi-logarithm yendalo yesiseko b.

f (x) = ab ×

Umsebenzi weLogarithmic

Ukufumana isishwankathelo esikhawulezayo, kufuneka kuthiwe yinto ephikisayo yokubonisa. Ke xa sithetha ngemisebenzi ye-logarithmic, kuya kufuneka sichaze ukuba a iya kuba sisiseko salo msebenzi, siqinisekile kwaye sahlukile ku-1.

f (x) = ilog_ax

Umsebenzi wexabiso elipheleleyo

Njengoko usazi ngokuqinisekileyo, elona xabiso lilonke lemathematika lixabiso lalo ngokwamanani. Kule meko, ayithathelwa ngqalelo ukuba kulungile okanye kukubi. Kwimisebenzi, inxulunyaniswa nobukhulu okanye imigama. Iyakuba nkulu kune okanye ilingane no-0 kodwa ingaze ibe mbi.

f (x) = | x |

Ngale nto silugqibezela ulwahlulo ngeentlobo ezilishumi zemisebenzi yemathematics, ulwazi ekufuneka silugcinile luhleli lukhona kuba kubalulekile ukuba siqonde ukuba, ngokusekwe kuhlobo lomsebenzi ophambi kwethu, ukubonakaliswa kwemizobo kuya kwahluka kakhulu , ukuze sazi zonke ezi nkcukacha, siya kuba nakho ukwenza umsebenzi omninzi ukusukela ngokujonga kube kanye siza kuba nalo lonke ulwazi oluyimfuneko ukuze sazi ukuba siyakuba yintoni isiphumo kwaye asizukubala.

Gcina ukhumbula ukuba siza kuphumeza okuninzi ukuba sele sazi kwangaphambili uhlobo lwentetho esiza kuyifumana, kuba oku kuyakusinceda ngeendlela ezimbini; Okokuqala, siya kuba nakho ukuqaphela ukuba yonke into iqhubeka ngokuchanekileyo, oko kukuthi, kufuneka sicace gca ukuba ngexesha lenkqubo siza kubona ukuba sisendleleni elungileyo, kwaye kwelinye icala, nje ukuba senze umzobo , Siza kuba nombono ocacileyo wokuba ingaba iziphumo ezifunyenweyo zichanekile na, kuba kwimeko apho ukubonakaliswa kwemizobo kwahlukile kuhlobo lomsebenzi esijongana nawo, kuyacaca ukuba kuya kuthetha ukuba sididekile kubalo oluthile, nto leyo ethetha ukuba Kuya kufuneka sibuyele umva kwakhona ngasemva de sifumane impazamo yokuyilungisa kwaye sigqibe ukujonga ukuba imbonakalo yemizobo ichanekile na.

Yiyo yonke le nto kufuneka uyazi malunga neendidi zemisebenzi, kodwa khumbula ukuba kuhlala kubalulekile ukuba ulwandise ulwazi lwakho kwaye ngaphezulu kwako konke okwenzayo, ukuqonda kwangaxeshanye into oyenzayo, kuba kuphela kwendlela yokonwabela imisebenzi kunye nemathematika kunye nokuthintela ukuba ibe sisifundo esingenakufumana kwicala elifanelekileyo.