1 / 9

Liceul Teoretic “ Petru Cercel ” Targoviste

Liceul Teoretic “ Petru Cercel ” Targoviste. Sisteme de ecuatii liniare. Coordonator : Nica Ionut. Elev : Ciubotariu Ionut. Sisteme de 2 ecuatii cu 2 necunoscute. Def : un sistem liniar de doua ecuatii cu doua necunoscute are forma : a1x+b1y+c1 =d1 a2y+b2y+c2 =d2

vashon
Download Presentation

Liceul Teoretic “ Petru Cercel ” Targoviste

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. LiceulTeoretic “PetruCercel” Targoviste Sisteme de ecuatiiliniare Coordonator: NicaIonut Elev: CiubotariuIonut

  2. Sisteme de 2 ecuatii cu 2 necunoscute Def: un sistemliniar de douaecuatiicudouanecunoscute are forma : a1x+b1y+c1 =d1 a2y+b2y+c2 =d2 undea,b,c,dapartin la R.

  3. Metode de rezolvare 1.Metoda combinatiilor liniare 2.Metoda substitutiei 3.Metoda eliminarii (Gauss) 4.Regula lui Cramer

  4. Sisteme de 3 ecuatii cu 3 necunoscute Def:Unsistemliniar de treiecuatiicutreinecunoscute are forma : a1x+b1y+c1=d1 a2y+b2y+c2=d2 a3y+b3y+c3=d3 Undea,b,c,dapartin la R.

  5. Metode de rezolvare 1.Metoda combinatiilor liniare 2.Metoda eliminarii (Gauss) 3.Regula lui Cramer 4. Metoda matricii inverse

  6. Sisteme de n ecuatii cu m necunoscute Def:Unsistemliniar cu n ecuatii cu m necunoscute are forma: a11x1+a12x2+…+a1nxn=b1 a21x1+a22x2+ …+a2nxn=b2 …………………………. Am1x1+am2x2+…+amnxn=bm

  7. Ecuatii Chimice • In procesul de fotosintezaplanteleutilizeazaenergia radiate de soarepentru a transformadioxidul de carbon (CO2)siapa(H2O)in glucoza(C6H12O6)sioxigen(O2) • Ecuatiachimica a reactieieste de forma: x1CO2+x2H2O →x3O2+x4C6H12O6. Pentru a obtineechilibrul(balanta)ecuatieitrebuiesaalegem x1,x2,x3,x4astfelincatnumarul de atomi de carbon hidrogensioxigen din ceidoimembrisa fie acelasi.Deoarecedioxidul de carbon contine un atom de carbon,iarglucozacontinesase,atuncipentruegalizareanumarului de atomi de carbon trebuiesaavem x1=6x4.

  8. Analog,pentruatomii de oxigensi respective hidrogenavemecuatiile: 2x1+x2=2x3+6x4,2x2=12x4.Cele tri ecuatiiconduc la sistemul: Solutia sistemuluieste :x1=6 גּ X2= 6 גּ X3=6 גּ X4= גּ גּ ≥0 ; Pentruגּ =1 se obtine Solutia particulara x1=x2=x3=6,x4=1 siecuatia are forma: 6CO2+6H2O→6O2+C­6H12O6­.

  9. Cuprins Sisteme de 2 ecuatii cu 2 necunoscute-definitie ……………………………slide 2 Sisteme de 2 ecuatii cu 2 necunoscute-metode de rezolvare…………….slide 3 Sisteme de 3 ecuatii cu 3 necunoscute-definite ……………………………slide 4 Sisteme de 3 ecuatii cu 3 necunoscute-metode de rezolvare ……………slide 5 Sisteme de n ecuatii cu m necunoscute……………………………………..slide 6 Ecuatichimice…………………………………………………………………….slide 7

More Related