Kuyini impande sikwele?

Phakathi isethi ulwazi, okuyisibonakaliso kokukwazi endaweni yokuqala zamagama. Ngokulandelayo, yona leyo nto "esikhulu" iyona amakhono kwalokho-ukuphindaphinda eduze kubo, kodwa incazelo reverse, ukukhupha izibalo, division. Izifundo amakhono ezikude ebuntwaneni esikoleni, uyikhonze ngokwethembeka imini nobusuku: TV, iphephandaba, SMS invoyisi. Futhi kuyo yonke indawo, sifunda, bhala, buka, ungengeza, ususe, nande. Futhi, ngitsheleni, kukangaki une ekuphileni, kokukhipha izimpande, ngaphandle kuleli zwe? Ngokwesibonelo, umsebenzi bezijabulisa ezinjalo, ezifana, impande skwele inombolo 12345 ... Kukhona ukuphila e inja endala? Yingcweti? Yebo, akukho lutho kulula! Likuphi wokubala yami ... Futhi ngaphandle kwalo, kwesinye isandla iye kwesinye, kancane?

Okokuqala, ake ucacise ukuthi iyini - impande skwele inombolo. Ngokuvamile, "umucu impande skwele inombolo" kusho ukwenza operation izibalo Exponentiation okuphambene - lokho wena ubunye bahlukene empilweni isicelo. Exponentiation, ake sithi, isikwele, kuyinto ukuphindwaphindwa inombolo ngawodwana, ie, njengoba efundisa esikoleni, X * X = A noma amanye okufakiwe X2 = A, futhi amagama - "X yisikwele ilingana A". Khona-ke inkinga ephambene kuyinto: impande skwele A, X inombolo wenziwa elalizokwakhiwa e isikwele is elilingana A.

izimpande Square

Kusukela inkambo esikoleni izindlela izibalo kuthiwa Computing eyaziwa "kukholamu" ukuthi usizo ukwenza kokusebenzisa izibalo besebenzisa imisebenzi yokuqala emine arithmetical. Alas ... Ukuze Square, hhayi kuphela izimpande square yalezi algorithm abekho. Futhi kulokhu, njengoba impande square ngaphandle wokubala? Ngokusekelwe incazelo ezobuyisa impande okukhipha - kubalulekile ukukhetha ukubaluleka yi amandla isilo esinonya izinombolo zabo square osondela ukubaluleka kwengosi kuba radicand. Yilokho! Awunayo isikhathi sidlule ihora noma amabili, njengoba kungenzeka ukubala, usebenzisa indlela owaziwa zokuphindaphinda ku "ikholomu" yanoma yimuphi impande square. Uma ukhululekile ngokwanele ukwenza amaminithi ambalwa. Ngisho hhayi eziphambili kakhulu wokubala umsebenzisi noma PC kwenza kube kwelinye Shintshela ngokuwa - kuyaqhubeka.

Kodwa sina, impande square ngokuvamile kusetshenziswa indlela "wezikhali izimfoloko": okokuqala uthathe inani kabani sikwele, cishe kulingana ezizivelelayo. Kungcono uma "sikwele yethu" waba ngaphansana kunabanjengonkulunkulu le nkulumo. Khona-ke, ulungise inani ikhono abo, ukuqonda, isibonelo, iphindwe ezimbili, futhi ... futhi yisikwele. Uma umphumela kunenani ngezansi impande zilandelana Oqondisa inombolo yokuqala kancane kancane esondela "umlingani" alo ngaphansi impande. Njengoba ubona - akukho wokubala, kuphela ikhono kubhekwe "ngo ikholomu". Yiqiniso, zikhona algorithm eziningi zesayensi kanye wabonisana futhi elungiselelwe Computing izimpande square, kodwa "ukusetshenziswa ekhaya" engayitholi ngenhla inikeza 100% bathembela yi.

Oh, Ngacishe bakhohlwa ukuqinisekisa ukwazi ukufunda nokubhala yayo anda, ukubala impande skwele inombolo ngaphambilini ecacisiwe 12345. Yenza igxathu negxathu:

1. Thatha intuitively, X = 100. Thina ukubala: X * X = 10,000 Intuition ezindaweni eziphakeme - umphumela uba ngaphansi kuka 12345.

2. Zama futhi intuitively, X = 120. Khona-ke: X * X = 14400.I futhi nge umuzwa oda - umphumela ezingaphezu kuka 12345.

3. etholwe ngenhla "ekuphambukeni" 100 futhi 120. Khetha inombolo entsha - 110 futhi 115. Thina ukuthola, ngokulandelana, 12100 futhi 13225 - Fork unciphise.

4. Zama "okungahleliwe" X = 111. * Thola X = 12321. Le nombolo usondele ngokwanele 12345. Ngokuhambisana ukunemba okunjalo "bamba" Ungaqhubeka noma ame imiphumela eyatholakala. Yilokho. Njengoba-ke wathembisa - yonke into ilula kakhulu futhi ngaphandle wokubala.

Impela kancane umlando ...

Beshaya owavela nomqondo ukusebenzisa izimpande square namanje Pythagoreans, zesikole futhi abalandeli Pythagoras, 800 BC bese "wagijima" ngenxa yezinto ezintsha emkhakheni izinombolo. Futhi lapho lokho kuvela?

1. Isixazululo yenkinga nge kokukhipha impande, inika yi ngesimo isigaba esisha izinombolo. Babizwa ngokuthi bangabantu engenangqondo okungukuthi, 'engenangqondo' ngoba bona ingangeni inombolo ephelele. Isibonelo zakudala kakhulu lolu hlobo - impande skwele 2. Leli cala oluhambisana ekubalweni diagonal isikwele nohlangothi elilingana 1 - okungukuthi, ithonya isikole Pythagoras. Kwavela ukuthi calantsatfu usayizi ethize kakhulu uhlangothi olulodwa, hypotenuse of usayizi ukuthi uwukubonakaliswa inombolo, lapho "akunakuphela." Ngakho-mathematics uvele izinombolo engenangqondo.

2. Kuyaziwa ukuthi eligadulayo zaqala. Kwavela ukuthi lo msebenzi zezibalo iqukethe elinye iqhinga - ukuthatha impande square, asazi esigcawini inombolo, emihle noma emibi, lawa amazwi olukhulu. Lokhu ukungaqiniseki, umphumela kabili umsebenzi olulodwa, futhi iqoshwe.

Lolu cwaningo ezihlobene nale mkhuba ukukhathazeka kwaba isiqondiso mathematics, obizwa imfundiso yokuziphendukela variable eziyinkimbinkimbi, okuyinto kubaluleke kakhulu okungokoqobo physics zezibalo.

Kwenzeka inqaba, ukuqokwa impande - a - isicelo "izibalo Universal" wakhe kufana ikuyo yonke indawo Newton, futhi look zanamuhla ncamashi ukuqopha impande yaziwa kusukela 1690 encwadini engumFulentshi Rolle "Qondisa algebra".