Binomials

Munyori: Peter Berry
Zuva Rekusika: 11 Chikunguru 2021
Gadziridza Zuva: 12 Chivabvu 2024
Anonim
Binomial theorem | Polynomial and rational functions | Algebra II | Khan Academy
Vhidhiyo: Binomial theorem | Polynomial and rational functions | Algebra II | Khan Academy

Zvemukati

Izwi rekuti 'binomialInoenderana nemutauro wealgebra uye inoratidza chimwe chezvinhu zvakasiyana siyana izvo munhu anogara achijaira.

Kunyanya, binomial mubatanidzwa wezvinhu zviviri zvemasvomhu (zvinonzi nhengo), mukati meiyo equation kana hukama pakati pezvakawanda kana zvivakwa.

Hunhu

Izvo zvinodikanwa kujekesa kuti patinotaura nezve 'masvomhu zvinhu' tiri kureva nhamba kana zvisingazivikanwe zvingazopedzisira zvatsiviwa nenhamba.

Nekudaro, mumwe musiyano wepakati unofanirwa kuitwa: binomial inogara iine nhengo mbiri dzakawedzerwa kana kubviswa kubva kune mumwe nemumwe, uye isina kuwanda kana kupatsanurwa, kana kuita chimwe chiitiko.

Nekudaro, zvinogona kutaurwa kuti iyo mutsauko pakati penhengo unoitwa ne '+' chiratidzo kana na '-', uye saka A + B ibinomial, asi kwete A B kana A ^ B (idzi dzinogona kuita nhengo imwechete).

Imwe neimwe yenhengo dzebinomial inodaidzwa 'apedza'. Maitiro anokosha ekushandisa anoshanda nemabhinomial. Iko kuvhiyiwa kunowanzo shandiswa kumabinomials ndiko kwe zvakajairika chinhu.


Kana mazwi maviri ebinomial akawedzerwa kana kupatsanurwa zvakafanana, kuwanda kwacho kunogona kuve kamwe chete. Nekudaro, kaviri A kuwedzerwa kaviri B zvakaenzana kaviri (A + B). Izvi zvinoitika nekuti mumabinomials inoshandiswa (uye inosangana) pfuma yekuwanza inoiswa, zvinoreva kuti kana nhamba ikapamhidzira binomial inogona zvakare kuwedzera imwe neimwe yenhengo dzayo zvakasiyana (uye zvakafanana zvinoitika neshure).

Izvo zvakafanana hazviitike mune nyaya ye masimba, mune iyo nyaya mubvunzo unenge wakaomesesa: iyo square yehuwandu hweA uye B haina kuenzana nekwere yeumwe neumwe wavo zvakasiyana. Simba N remubatanidzwa pakati paA naB richava A ^ N + B ^ N, asi pakati pematemu maviri aya pachave nemutengo weN-1 mazwi.

Nyaya inowanzoitika ndeye iyo sikweya ye binomial, kupi (A + B)2 = (A2 + 2 * A * B + B2). Chinhu chinowanzoitika chinoita kuti zviome kugadzirisa equation, Fomura yaNewton kazhinji inogadzirisa dambudziko iri.


Nhasi, pfungwa ye 'binomial' yakapfuura nyika yealgebra uye masvomhu. Iyo binomial inonzi kusanganiswa kwemazita maviri muchimiro chechero chiitiko chevanhu. Zvese izvo zvinoumbwa nezita remumwe munhu uye remumwe munhu zvine hunyanzvi, uye zvinoshanda pamusoro pezvese mune zvematongerwo enyika, zvakare mumitambo uye hunyanzvi kana varaidzo.

Mienzaniso ye binomials

Algebraic binomials:

  1. (34 * A + B / 23)
  2. (12 – 263/3)
  3. ½ (5 + 14 * G)
  4. (43 A + 1/3 * B) 2
  5. (114 + 42) 3
  6. (21 B - A)
  7. (412 - 5A 2)
  8. (1/9 – 1/5)
  9. (5*10^9,61 – 3,5*10^5,41)
  10. 1/6 * (A + B)3

Binomials yevanhu kana mavara:

  1. Carlos Gardel naAlfredo Le Pera (muimbi uye munyori wematangos)
  2. Brad Pitt naAngelina Jolie (vaviri vatambi)
  3. John Kennedy - Lyndon Johnson (United States mutungamiriri wenyika)
  4. Mickey naMinnie (vanyori vanofungidzira kubva kumatangi epakutanga)
  5. Juan Domingo Perón - María Estela Martínez de Perón (fomu yemutungamiri)
  6. Tristan naIsolde (vatambi kubva mungano dzekare, iyo yakapa zita rayo kuna Opner ane mukurumbira opera)
  7. Don Quixote uye San Panza (vanyori vanofungidzira kubva mubhuku raCervantes)
  8. Mombe nehuku (vatuni vemifananidzo)
  9. Mick Jagger naKeith Richards (vaimbi vanobva kubhendi rimwe chete, Rolling Stones)
  10. Mafuta neakaonda (mavara anonakidza kubva panguva yekunyarara yemuvhi)



Zvinyorwa Zvinonakidza

Chiito Haber
Quasi-Reflex zviito
Mashoko anoenderana "mupunga"