matematika 3 - zbirka resenih zadataka za iii razred gimnazija i tehnickih skola (krug)

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  • 3

    III

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  • 1. ................................... 11.1. ........................................................................... 11.2. .................................................... 51.3. I .............................................................................. 7

    2. ................................................................................................... 92.1. , . . ......... 92.2. , ................................... 112.3. .................................................... 13

    2.3.1. ....................................................................................... 132.3.2. .................................................................................. 172.3.3. ............................................................... 21

    2.4. .............................................................................. 222.5. I I .............................................................................. 24

    3. ................... ............................................................. 273.1. , ........................................................... 27

    3.1.1. ......................................................................................... 273.1.2. ............................................................................................ 293.1.3. ......................................................................... 32

    3.2. ..................................................................................................... 343.2.1. , ............................................................... 343.2.2. , .............................. 353.2.3. ...................................................................... 353.2.4. ......... 363.2.5. ........................................................ 39

    3.3. III ........................................................................... 394.

    ................................................................................... 424.1. ........................................................... 424.2. ........................................................... 444.3. ........................... 484.4. .................................................................... 49

    5. ....................................................................................................... 515.1. ................................. 515.2. ............................................................. 535.3. .............................................................................. 555.4. ...................................................... 58

    6. ........................ .............................. 616.1. . .

    ................................................................................................ 61

  • 6.2. ..................................................................................... 646.2.1. ............................................... 646.2.2. ............................................... 676.2.3. ......................................................................... 696.2.4. .......................................... 706.2.5. 6.1 6.2.4............................................. 71

    6.3. ....................................................................................................... 746.4. ................................................................................................... 806.5. ............................................................................................ 846.6. .............................................................................................. 886.7. VI ........................................................................... 91

    7. . .................................................... 957.1. .......................................... 957.2. ............................................................. 98

    7.2.1. . ...................................................... 987.2.2. ........................................................... 997.2.3. ............................................................. 101

    7.3. ............................................................. 1027.4. ...................................................... 1047.5. ........................................................................... 1107.6. ........................................................................... 1137.7. ............................................... 116

    8. .................................................... 1178.1. ........................................................................... 117

    8.1.1. . ...................................................... 1178.1.2. .

    . .......................... 1198.2. .............................................................................................. 122

    8.2.1. ................................................. 1228.2.2. .................................................................... 1248.2.3. ................................. 126

    8.3. ................................... 1279. ....................................................................................................... 128

    9.1. ........................................ 1289.2. .............................................................................................. 1299.3. ......................................................................................... 1309.4. . . . 1319.5. ................................................................................................ 1329.6. (I) ................................................. 1339.7. (II) ............................................... 1349.8. . ............................................. 1359.9. . ........................................................ 136

  • 1. ............................................... 1372. ........................................................................................................ 1473. ................................................................................................. 1654. .............. 1845. .......................................................................................................... 1956. ................................................................ 2027. . ................................................................ 2478. ................................................................ 2649. .......................................................................................................... 276

    ............................................................................................................... 277

  • I

    1.1. : = ( 6 - )

    ? .: = 2 = { ,

  • 2 I

    1. 7,4 , 2? |2 . 5 = 20 ,

    | = 4 .3. 60. ! = 6\/3 .4 . 6. 2, 5, 32. . 5. 60 50 . 120 . .6 . = 6 = . -

    : 2 + 2 = 117.

    7. ; + (1 = 9,64 (: \/2 = 1,41).

    8 . 10%. , ?

    9 . 100 2. 2 , .10. . ! .11. 16 2

    = 1 * 2.9 .12. 18 2 - 7 2. -

    .: 13. 12 60. , .

    14. = 5, = 14. .15.

    5 4,2 .1

    : 16. 1 - . 150 , .

    17. 35 42 , 35 .

    18. 12 16 . -: 8 . . 19. 20 , 30,| 2: 3.

    20 . = 8 6 = = 60. .

  • 1.1. 3.... ....................... ........ ...... .................. . ......... ................... ^

    21. 20. \ .22. . 38 = , ' .23. 18 , ! . .24. 3 : 4, 54 2. .

    |25. 1 = 7 = 4. .26. (1)2 2 = 7 \ . .27. 80 , 5 : 6 : 5 . \ .28. , , ; , 1 : 2. .

    I29. :

    25 269 183 ,) 17, 65, 80; ) , , |()(): ) = - , 6 = , = + .

    30. , 63, 45, 40 13.31. = 39 6 = 25 1 = 28.32. 10, 17 21. .33. 2 + 6 = 22 6 = 2.: , .34. : (5)" --(+9)(