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

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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

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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. -

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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. .

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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)(