4 VIŠE I. KOORDINATNI SUSTAV ................................................................................................................. 6 Koordinatni sustav na pravcu i pravokutni koordinatni sustav u ravnini ................................................. 6 Provjera .............................................................................................................................................................................8 II. PROPORCIONALNOST I OBRNUTA PROPORCIONALNOST ..................................................... 10 Omjer .............................................................................................................................................................................. 10 Razmjer ili proporcija ................................................................................................................................................ 12 Omjer i razmjer ............................................................................................................................................................ 14 Proporcionalne veličine ........................................................................................................................................... 16 Obrnuto proporcionalne veličine ......................................................................................................................... 22 Postoci. Računanje s postocima ............................................................................................................................ 26 Provjera 1 ........................................................................................................................................................................ 30 Provjera 2 ....................................................................................................................................................................... 32 Provjera 3 ....................................................................................................................................................................... 34 III. SLIČNOST TROKUTA ................................................................................................................. 36 Dijeljenje dužine na jednake dijelove i u zadanom omjeru ........................................................................ 36 Sličnost trokut i primjena ........................................................................................................................................ 38 Provjera .......................................................................................................................................................................... 40 IV. MNOGOKUTI .............................................................................................................................. 42 Dijagonale mnogokuta ............................................................................................................................................ 42 Kutovi mnogokuta ..................................................................................................................................................... 44 Opseg i površina mnogokuta ................................................................................................................................ 46 Provjera .......................................................................................................................................................................... 48 V. KRUŽNICA I KRUG ...................................................................................................................... 50 Dvije kružnice .............................................................................................................................................................. 50 Kružnica i pravac .......................................................................................................................................................... 51 Središnji kut .................................................................................................................................................................. 53 Opseg kruga i kružnog luka .................................................................................................................................... 54 Površina kruga i kružnog isječka ........................................................................................................................... 56 Opseg i površina pobojanih likova ...................................................................................................................... 58 Provjera 1 ........................................................................................................................................................................ 60 Provjera 2 ....................................................................................................................................................................... 62 VI. LINEARNA FUNKCIJA ................................................................................................................ 64 Linearna funkcija ........................................................................................................................................................ 64 Graf linearne funkcije ................................................................................................................................................ 66 Jednadžba pravca ....................................................................................................................................................... 68 KAZALO