Matematika 3 - Zbirka Resenih Zadataka Za III Razred Gimnazija i Tehnickih Skola (Krug)

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zbirka zadataka iz matetmatike

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<ul><li><p>3</p><p> III </p><p> ,.</p><p>\ \ / , 2008.</p></li><li><p>: , , </p><p>3</p><p> III </p><p>: , , 244 : : , </p><p> , , </p><p>: . 4 5-5# : , . . </p><p>18 978-86-7136-140-8</p><p>1 - , </p><p>37.016:51(075.3) (076) , </p><p> 3 : [ ] III / , ;[ ]. - 9. . - : , 2008 ( : ). 278 . : . ; 24 </p><p>. - : . [279].18^ 978-86-7136-140-81. , []188.8- 149312780</p><p>: 3000 </p><p>: - </p></li><li><p> , , 1992/93. . :1. 2. 3. 4. . 5. 6. 7. . 8. .</p><p> , - . . , , - , . .</p><p> , , - . 2. . , , 8-10 5-7 . - . , - , , - III . .</p><p> , , - . .</p><p> : 1. ; 2. , , .</p><p> - 4 5.</p><p> , 1992. </p></li><li><p> , - - ( 2 3 - ), ( 4 5 - ) ( - ). , , , , .</p><p> , 2004. </p><p> 7 </p><p>3 X ' </p><p>0 1 X </p><p> V </p><p>0 0 </p><p> 7 </p><p> X </p></li><li><p>1. ................................... 11.1. ........................................................................... 11.2. .................................................... 51.3. I .............................................................................. 7</p><p>2. ................................................................................................... 92.1. , . . ......... 92.2. , ................................... 112.3. .................................................... 13</p><p>2.3.1. ....................................................................................... 132.3.2. .................................................................................. 172.3.3. ............................................................... 21</p><p>2.4. .............................................................................. 222.5. I I .............................................................................. 24</p><p>3. ................... ............................................................. 273.1. , ........................................................... 27</p><p>3.1.1. ......................................................................................... 273.1.2. ............................................................................................ 293.1.3. ......................................................................... 32</p><p>3.2. ..................................................................................................... 343.2.1. , ............................................................... 343.2.2. , .............................. 353.2.3. ...................................................................... 353.2.4. ......... 363.2.5. ........................................................ 39</p><p>3.3. III ........................................................................... 394. </p><p> ................................................................................... 424.1. ........................................................... 424.2. ........................................................... 444.3. ........................... 484.4. .................................................................... 49</p><p>5. ....................................................................................................... 515.1. ................................. 515.2. ............................................................. 535.3. .............................................................................. 555.4. ...................................................... 58</p><p>6. ........................ .............................. 616.1. . . </p><p> ................................................................................................ 61</p></li><li><p>6.2. ..................................................................................... 646.2.1. ............................................... 646.2.2. ............................................... 676.2.3. ......................................................................... 696.2.4. .......................................... 706.2.5. 6.1 6.2.4............................................. 71</p><p>6.3. ....................................................................................................... 746.4. ................................................................................................... 806.5. ............................................................................................ 846.6. .............................................................................................. 886.7. VI ........................................................................... 91</p><p>7. . .................................................... 957.1. .......................................... 957.2. ............................................................. 98</p><p>7.2.1. . ...................................................... 987.2.2. ........................................................... 997.2.3. ............................................................. 101</p><p>7.3. ............................................................. 1027.4. ...................................................... 1047.5. ........................................................................... 1107.6. ........................................................................... 1137.7. ............................................... 116</p><p>8. .................................................... 1178.1. ........................................................................... 117</p><p>8.1.1. . ...................................................... 1178.1.2. . </p><p>. .......................... 1198.2. .............................................................................................. 122</p><p>8.2.1. ................................................. 1228.2.2. .................................................................... 1248.2.3. ................................. 126</p><p>8.3. ................................... 1279. ....................................................................................................... 128</p><p>9.1. ........................................ 1289.2. .............................................................................................. 1299.3. ......................................................................................... 1309.4. . . . 1319.5. ................................................................................................ 1329.6. (I) ................................................. 1339.7. (II) ............................................... 1349.8. . ............................................. 1359.9. . ........................................................ 136</p></li><li><p>1. ............................................... 1372. ........................................................................................................ 1473. ................................................................................................. 1654. .............. 1845. .......................................................................................................... 1956. ................................................................ 2027. . ................................................................ 2478. ................................................................ 2649. .......................................................................................................... 276</p><p>............................................................................................................... 277</p></li><li><p> I </p><p>1.1. : = ( 6 - )</p><p>? .: = 2 = { , </p></li><li><p>2 I</p><p>1. 7,4 , 2? |2 . 5 = 20 , </p><p>| = 4 .3. 60. ! = 6\/3 .4 . 6. 2, 5, 32. . 5. 60 50 . 120 . .6 . = 6 = . - </p><p> : 2 + 2 = 117.</p><p>7. ; + (1 = 9,64 (: \/2 = 1,41).</p><p>8 . 10%. , ?</p><p>9 . 100 2. 2 , .10. . ! .11. 16 2 </p><p>= 1 * 2.9 .12. 18 2 - 7 2. - </p><p> .: 13. 12 60. , .</p><p>14. = 5, = 14. .15. </p><p>5 4,2 .1</p><p>: 16. 1 - . 150 , .</p><p>17. 35 42 , 35 .</p><p>18. 12 16 . -: 8 . . 19. 20 , 30,| 2: 3.</p><p>20 . = 8 6 = = 60. .</p></li><li><p>1.1. 3.... ....................... ........ ...... .................. . ......... ................... ^</p><p>21. 20. \ .22. . 38 = , ' .23. 18 , ! . .24. 3 : 4, 54 2. .</p><p>|25. 1 = 7 = 4. .26. (1)2 2 = 7 \ . .27. 80 , 5 : 6 : 5 . \ .28. , , ; , 1 : 2. .</p><p>I29. :</p><p> 25 269 183 ,) 17, 65, 80; ) , , |()(): ) = - , 6 = , = + .</p><p>30. , 63, 45, 40 13.31. = 39 6 = 25 1 = 28.32. 10, 17 21. .33. 2 + 6 = 22 6 = 2.: , .34. : (5)" --(+9)( 11) = 4 3(26 1) 2(6 + 4) = 21. .35. : = 5, = 6, = 9. </p><p> .36. = 16, 10. </p><p> , ^ 5 .!</p><p>37. = 6 = 8 . .38. . - 9\/3- .</p></li><li><p>4 I</p><p>39. ; , . 10 ,</p><p>; .40. , 594 2, 22 , 6 . ?41. = 20 = 5, = 13 = 14. .42. = 1,5 = 15 2. .43. = 25 6 = 15 , = 8 . .44. </p><p>; 40 , 25 , 52 . .45. 2,7 3,6 . </p><p> .46. 6,4 3,6 , - = 8 (!&gt; = . </p><p>. . _____</p><p>\ 47. ) . , . ; .</p><p>48. = 8, 6 = 4, | 45 30.</p><p>49. . 1 , 14 . </p><p> .50. , 60.51. , </p><p> 2. .52. . </p><p> 2\/5 3 : 1.53. . </p><p>| .54. , </p><p>; 2. .55. , </p><p>: 9. .56. </p></li><li><p>57. - ] . 1 , 4 9. </p><p> .58. = = , + ^ I</p><p>I . .! ' ;</p><p>59. = 6\/3, = 3 I) = 7 . .60. - </p><p> , , . : ! 1 .</p><p>61. 7 8 , I 3 6 .</p><p>62. ( &gt;) . : \ 2 2. I</p><p>1.2. 5</p><p>1.2. </p><p> : 5 = 2 ( - )^ , : I = ( - )</p><p> : = 2 ( , ).</p><p> . : = ------ ( , , </p><p> ); = ( ).</p><p> ^ 1 : = - 2 ( - ) "</p><p>................... . .......... ................................................63. I , , /3 </p><p>| , :) (3 I { - , 7 , , I I; ) I /3 6 {60, 20,45, 90}.</p><p>6 4 12 9 64. 20 </p><p>\ 1 1. :1</p><p>) ;I) .</p><p>65. 120, . .</p></li><li><p>6 I</p><p>66 . 8,17 2 9 .67. 9,7 2 I </p><p> = 12 .68 . ) = 2230' = 1,8 .</p><p>) = 36 } ; I = 45 .</p><p>) , ! ; .</p><p>69. , , = 4 .</p><p>70. , 8 10 . .71. , 4 , 24 . - </p><p>| .72. ?</p><p>: 73. 15 \ 17 . . </p><p>74. = 5 , &amp; = , = 7 . ) : 6, . .</p><p>75. 12 , . .76. </p></li><li><p>3. I 7</p><p>83. 30. . , '2\/2. .84. , , /3. </p></li><li><p>8 I</p><p>96. . .97. . . . . ( ) . _ .98. - , ( ). .99. (.) () :</p><p>( 2 = -, =4 ' + I) + '</p><p> . 1&gt; , . .100. . = \/( )($ - ))(. ) ( ), , 1&gt; , 8 . . .</p><p>101. = - / 81 </p></li><li><p> II</p><p>2.1. , . . </p><p> . : - .: . . . . . : . . : - , .</p><p>106. 45 . ?107. , , , 30. .108. 7 . . .</p></li><li><p>10 II</p><p>109. . , \ , , .</p><p>110. , 6 , 6, . /?</p><p>111. , , \ .</p><p>) \ , \ = 6, \\ , ( .</p><p>) \ = 3, \ = 4, \\ = 6, 7.!</p><p>112. 7, ?7. 7 30, [60, .113. {/.(' = 90) , </p><p>| 45. = 2 , : = 3 : 1 , .</p><p>114. . I) . .</p><p>115. , , . , N. , , , , 1) ) </p><p> 1) N 0 " </p><p>.</p><p> ) : = ()() : !V = .116. . ..</p><p>117. 8 . :</p><p>) .</p><p>) 8 . .</p><p>) 8, 8 8 .</p><p>118. {</p></li><li><p>2.2. , 11</p><p>2.2. , \</p><p> 120. , , - </p><p>! ?121. , 6 . .122. 10 , 11 </p><p>I 23 , 2 : 3. .123. 5 , 4 . 60.124. ' '''' 1?125. . .126. , - </p><p> . ^ (. ).</p><p>127. 8 , . 13 . .</p><p>. .....128. 6 60, () ; () . </p><p> .I '</p><p>129. 12 , 10 . 45. .130. | . 8 . ?131. = 3, = 2. , I = 4, 1132. .133. = 5\/2 5 = 13. .134. , | &amp; (6 &gt; ). 2. </p><p>! .</p></li><li><p>12 II</p><p>135. . ?136. . 4II. . \ 2 {\ &lt; 2) . . 3/4 . .</p><p>' 137. . 1&gt;. (2 &gt; 2 + 1&gt;'2). . . 77 . ( 6).138. . , (1. .139. 60, . . .140. . , .141. , , . . . ..142. \. - . ?143. - : , . .</p><p>V_________________________________ _____________ _______</p></li><li><p>2.3. 13</p><p>2.3. 2.3.1. </p><p> :</p><p> = 2 + , V = </p><p>( . , ) ();</p><p>( - ) ( )</p><p> = 2 ( + 6 + ),</p><p>(, 6, - ) :</p><p>( - , - ) :</p><p>144. 20 , \ 4 . ;145. 1 2, 2 2, 2. ? \</p><p> 146. 10 17, 2 1, 29. .147. 1 : 2 : 5, 5\/. ?148. = 20\/2, 4 . .149. , 60 , . 150. 17 : 10 : 9, \ 16, 1440. . I151. 12 5 , </p><p>: 4 . .</p></li><li><p>14 II/" \</p><p>152. 2 , 98 3. ?153. 30. - .154. 2\ /2 5 45, 7 . .155. 64 2, 80 2 48 2. 16 , .156. 9-/2 30. 8 2. . |157. /). &gt; /*. .158. , V = 3\/3.159. , 4. :160. </p></li><li><p>2.3. 15</p><p>169. : . | , . I : .</p><p>170. . , /. ?171. = 2 . </p><p>I 1 . . ?</p><p>172. , ;| 4 , 60, - </p><p> 5.I 1</p><p>173. , 36012. - 20,5 1. . .174. 61 : </p><p> 45. 41 3...</p></li></ul>