Matematiki leksikon

  • View
    256

  • Download
    8

Embed Size (px)

Text of Matematiki leksikon

  • O SIDE KOUTI RADOBOJ

    MATEMATIKI LEKSIKON

    Radoboj, 2012.

  • O SIDE KOUTI RADOBOJ

    MATEMATIKI LEKSIKON

    PROJEKT

    Predmet : Matematika

    Mentor: Ivica valjek

    Radoboj, 2012. godina

  • I

    Matematiki leksikon O Side Kouti Radoboj

    SADRAJ Predgovor ................................................................................................................................... 1

    Cijeli brojevi ........................................................................................................................... 2

    Zbrajanje i oduzimanje cijelih brojeva ............................................................................... 3

    Mnoenje i dijeljenje cijelih brojeva .................................................................................. 4

    etverokut .............................................................................................................................. 6

    Paralelogram ....................................................................................................................... 6

    Kvadrat ............................................................................................................................... 7

    Pravokutnik ........................................................................................................................ 8

    Romb .................................................................................................................................. 8

    Trapez ................................................................................................................................. 9

    Decimalni brojevi ................................................................................................................. 11

    Zbrajanje decimalnih brojeva ........................................................................................... 11

    Oduzimanje decimalnih brojeva ....................................................................................... 12

    Mnoenje decimalnih brojeva s dekadskim jedinicama ................................................... 12

    Dijeljenje decimalnih brojeva dekadskim jedinicama ..................................................... 12

    Mnoenje decimalnih brojeva cijelim brojevima ............................................................. 13

    Dijeljenje decimalnih brojeva cijelim brojevima ............................................................. 13

    Djeljivost prirodnih brojeva ................................................................................................. 14

    Viekratnik i djelitelj ........................................................................................................ 14

    Djeljivost sa 2, 3, 5, 9 i 10 ................................................................................................ 15

    Rastavljanje broja na proste faktore ................................................................................. 15

    Geometrijska tijela ............................................................................................................... 17

    Prizme ............................................................................................................................... 17

    Piramide ........................................................................................................................... 23

    Valjak ............................................................................................................................... 26

  • II

    Matematiki leksikon O Side Kouti Radoboj

    Stoac ............................................................................................................................... 27

    Kugla i sfera ..................................................................................................................... 28

    Jednostavni kamatni raun ................................................................................................... 29

    Koordinatni sustav u ravnini ................................................................................................ 30

    Koordinatni sustav na pravcu ............................................................................................... 30

    Korjenovanje racionalnih brojeva (drugi korijen) ................................................................ 32

    Racionalizacija nazivnika ................................................................................................. 33

    Krunica i krug ..................................................................................................................... 34

    Osnovni pojmovi kod kruga i krunice ............................................................................ 34

    Kutovi ................................................................................................................................... 37

    Vrste kutova ..................................................................................................................... 37

    Sukuti i vrni kutovi ......................................................................................................... 38

    Kvadriranje racionalnih brojeva ........................................................................................... 39

    Kvadrat binoma ................................................................................................................ 40

    Razlika kvadrata ............................................................................................................... 40

    Linearna funkcija .................................................................................................................. 41

    Linearna jednadba s jednom nepoznanicom ....................................................................... 43

    Ekvivalentne jednadbe .................................................................................................... 43

    Mnogokuti ............................................................................................................................ 45

    Pojmovi bitni za mnogokut .............................................................................................. 45

    Omjer i proporcija ................................................................................................................ 47

    Proporcionalne i obrnuto proporcionalne veliine ........................................................... 47

    Osnovni geometrijski pojmovi ............................................................................................. 50

    Pitagorin pouak ................................................................................................................... 52

    Primjena Pitagorina pouka na pravokutnik i kvadrat ..................................................... 52

    Primjena Pitagorina pouka na jednakostranini i jednakokrani trokut ......................... 53

    Primjena Pitagorinog pouka na romb ............................................................................. 55

  • III

    Matematiki leksikon O Side Kouti Radoboj

    Primjena Pitagorinog pouka na jednakokrani trapez .................................................... 55

    Postotak ................................................................................................................................ 56

    Preslikavanje ravnine ........................................................................................................... 57

    Translacija ........................................................................................................................ 57

    Osna simetrija ................................................................................................................... 57

    Centralna simetrija ........................................................................................................... 58

    Rotacija ............................................................................................................................. 59

    Prirodni brojevi .................................................................................................................... 60

    Dijeljenje prirodnih brojeva ............................................................................................. 60

    Izvoenje vie raunskih radnji ........................................................................................ 60

    Oduzimanje prirodnih brojeva ......................................................................................... 62

    Racionalni brojevi ................................................................................................................ 64

    Pozitivni i negativni racionalni brojevi ............................................................................ 65

    Prikazivanje racionalnih brojeva na pravcu. .................................................................... 65

    Usporeivanje racionalnih brojeva ................................................................................... 66

    Razlomci ............................................................................................................................... 67

    Raunske operacije s razlomcima .................................................................................... 67

    Sustavi linearnih jednadbi .................................................................................................. 70

    Trokut ..................................