Isixazululo nokungalingani

Noma yimuphi uhlelo esikoleni izibalo zihlanganisa izinto ku nokungalingani. Bona azungeze umfundi yonke indawo: ku amafomula, algebraic axioms nezinkinga. Kuyini ukungalingani kanye kubukeka sengathi isixazululo ukungalingani?

Lisikisela ekungalinganini yakhe, uma nje umehluko phakathi izingxenye ezimbili okuvela kuyo le nkulumo. Sekukonke kunezinhlobo ezimbili: esiqinile futhi abayekethisayo. Non-esiqinile ukungalingani uvumele samuntu, lapho izingxenye alinganayo (kuleli cala ngokusebenzisa "okungaphezulu kophawu noma elilingana" izibonakaliso "ngaphansi noma ilingane"). ukungalingani okuqinile ayivumeli ukusetshenziswa izimpendulo lapho izingxenye bayalingana. Kulokhu, isixazululo ukungalingani kuhilela 'emkhulu kunezinhliziyo "ngezibonakaliso," mbalwa kuna "kanye" ayilingani.'

Ngokuvamile, nokungalingani kufanele aphendule yonke ububanzi bamanani, kuhlanganise kokubili inamba futhi abaningi wamaqhuzu. Ukunikeza okugcwele impendulo kuphela elungile, ubhale phansi amanani ngqo, futhi ngezikhathi zabo. nokungalingani isixazululo kwenzeka kaningi kakhulu ezikhathini, lapho kuhloliwe, lapho ingxenye ingxenye ahlanganise yonke imibandela evumela ukwenza ukungalingani lesifanele. Impendulo kulotshiwe njengoba "akwaziwa kungokwalabo ingxenye Ukudidiyela idatha imingcele." ISIBONELO ukuqopha Impendulo - x ∈ (7 ;. 10], lapho abakaki lisho ukungalingani esiqinile, futhi isikwele - hhayi esiqinile (ngamanye amazwi, 10 ingenye izimpendulo kungenzeka, futhi 7 - akukho) Uma uhla izixazululo okungenzeka ukungalingani uya infinity ke infinity uphawu empendulweni njalo kuboniswa abakaki.

Nokungalingani kuyinto izinhlobo eziningi, kodwa kuphakama izinkinga ezinzima kakhulu ezimweni ezimbili: nokungalingani isinqumo engenangqondo futhi ayingxenye.

Kuyini ukungalingani engenangqondo? Lokhu ukungalingani, enye ingxenye okuyinto umsebenzi impande. Kubukeka ukungalingani esinjalo kubaluleke ngempela nzima umfundi ongenalwazi, futhi abafundi abaningi amakhono zezibalo. Nokho, isinqumo ukungalingani engenangqondo esicacile: wena nje kudingeka ukwakha zonke kungalingani ngezinga elingakanani impande ingenye yezingxenye zayo. eyodwa kuphela umthetho zezitsha ukugcina: uma omunye wemisebenzi alivumi, ekwakhiweni ngisho degree phendulela ukungalingani futhi kwenze kube ezahlukene kusukela yokuqala essence yayo kakhulu. Ngakho-ke, isinqumo ukungalingani engenangqondo ingenye lezo zikhathi lapho share sengonyama of examinees abafundi okungalungile.

Isixazululo ukungalingani wamaqhuzu ulula futhi. nokungalingani Fractional - kuba, lapho omunye izingxenye kuyinto ingxenyenamba. Yini okufanele ukwenze ukuze enze isinqumo esifanele nokungalingani wamaqhuzu? Vele wande zombili izinhlangothi ukungalingani ubukhulu bale zihilela kwemisebenzi umsindo. It izosebenza ifomu elula elikuvumela ukuba ngokushesha futhi kalula ukubala ibanga efanele izixazululo we ukungalingani.

Kunezinhlobo eziningi ukungalingani, futhi ikhambi abaningi babo ihluke nomunye. Udinga ukwazi futhi uhlinzeke indlela efanele ukuxazulula ngamunye wabo ukuze bakwazi ngokuphumelelayo wenze isimo, bhala impendulo bese ezikhombisa izinga eliphezulu umsebenzi. I efanayo nokungalingani isinqumo engenangqondo futhi ayingxenye? Ngokuyinhloko ukuthi yokuncishiswa ngokubhubhisa isici ukuba kuhlalwe izixazululo zabo (kwelinye icala - impande, kwesibili - umsebenzi zihilela). Ngakho-ke, zonke umfundi kanye umfundi kufanele ukhumbule ukuthi azizange ziyinake ku impande ukungalingani noma zifana, kufanele asabele futhi noma ukukhulisa zombili ngezinga oyifunayo noma wande zombili zokungalingani yi zifana. Le ndlela solution isebenza ezimweni eziningi, ngaphezu yinkimbinkimbi ezehlukile imisebenzi (okuyinto ngenhlanhla kakhulu ezingavamile). Ngakho-ke, singasho ngokuqiniseka ukuthi ikhambi nokungalingani ezihlongozwayo ngenhla kungaba kweqiniso cishe sasiyikhulu namashumi amaphesenti isikhathi. impumelelo Academic!