{"id":1252,"date":"2023-09-14T04:38:46","date_gmt":"2023-09-14T04:38:46","guid":{"rendered":"https:\/\/gbelentzas.sites.sch.gr\/?p=1252"},"modified":"2024-09-14T07:23:21","modified_gmt":"2024-09-14T07:23:21","slug":"%ce%b1-7-7-%ce%b4%ce%b5%ce%ba%ce%b1%ce%b4%ce%b9%ce%ba%ce%ae-%ce%bc%ce%bf%cf%81%cf%86%ce%ae-%cf%81%ce%b7%cf%84%cf%8e%ce%bd-%ce%b1%cf%81%ce%b9%ce%b8%ce%bc%cf%8e%ce%bd","status":"publish","type":"post","link":"https:\/\/gbelentzas.sites.sch.gr\/?p=1252","title":{"rendered":"\u0391.7.7. \u0394\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03ae \u03bc\u03bf\u03c1\u03c6\u03ae \u03c1\u03b7\u03c4\u03ce\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd"},"content":{"rendered":"

<\/i> \u03a3\u03b7\u03bc\u03b5\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2 \u0398\u03b5\u03c9\u03c1\u03af\u03b1\u03c2\u00a0<\/em><\/span><\/strong><\/h4>\n

\u039f\u03b9 \u03c0\u03b5\u03c1\u03b9\u03bf\u03b4\u03b9\u03ba\u03bf\u03af \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af<\/strong><\/span> \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf\u03b9 \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03c0\u03bf\u03c5 \u03bc\u03b5\u03c4\u03ac \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03b5\u03c0\u03b1\u03bd\u03b1\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03ad\u03bd\u03b1\u03bd \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf \u03c4\u03c1\u03cc\u03c0\u03bf.<\/p>\n

\u03a4\u03bf \u03c4\u03bc\u03ae\u03bc\u03b1 \u03c4\u03c9\u03bd \u03b5\u03c0\u03b1\u03bd\u03b1\u03bb\u03b1\u03bc\u03b2\u03b1\u03bd\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03ce\u03bd \u03c8\u03b7\u03c6\u03af\u03c9\u03bd \u03ba\u03ac\u03b8\u03b5 \u03c0\u03b5\u03c1\u03b9\u03bf\u03b4\u03b9\u03ba\u03bf\u03cd \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c0\u03b5\u03c1\u03af\u03bf\u03b4\u03bf\u03c2<\/strong>. \u039f \u03c0\u03b5\u03c1\u03b9\u03bf\u03b4\u03b9\u03ba\u03cc\u03c2 \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c3\u03c5\u03bc\u03b2\u03bf\u03bb\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03bc\u03b9\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae \u03c0\u03ac\u03bd\u03c9 \u03b1\u03c0\u03cc \u03c4\u03b1 \u03c8\u03b7\u03c6\u03af\u03b1 \u03c0\u03bf\u03c5 \u03b5\u03c0\u03b1\u03bd\u03b1\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9.<\/p>\n

\u03a5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03b4\u03cd\u03bf \u03c4\u03cd\u03c0\u03bf\u03b9:<\/p>\n

1.\u00a0\u039f\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03c0\u03bf\u03c5 \u03b7 \u03b5\u03c0\u03b1\u03bd\u03ac\u03bb\u03b7\u03c8\u03b7 \u03b1\u03c1\u03c7\u03af\u03b6\u03b5\u03b9 \u03b1\u03bc\u03ad\u03c3\u03c9\u03c2 \u03bc\u03b5\u03c4\u03ac \u03c4\u03b7\u03bd \u03c5\u03c0\u03bf\u03b4\u03b9\u03b1\u03c3\u03c4\u03bf\u03bb\u03ae.<\/strong><\/p>\n

\u03a0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1: \"\dfrac{1}{3} = 0{,}3333\ldots = 0{,}\overline{3}\"<\/p>\n

2. \u039f\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03c0\u03bf\u03c5 \u03bc\u03b5\u03c4\u03ac \u03c4\u03b7\u03bd \u03c5\u03c0\u03bf\u03b4\u03b9\u03b1\u03c3\u03c4\u03bf\u03bb\u03ae \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03ad\u03bd\u03b1 \u03bc\u03b7 \u03c0\u03b5\u03c1\u03b9\u03bf\u03b4\u03b9\u03ba\u03cc \u03bc\u03ad\u03c1\u03bf\u03c2, \u03ba\u03b1\u03b9 \u03bc\u03b5\u03c4\u03ac \u03b1\u03c1\u03c7\u03af\u03b6\u03b5\u03b9 \u03b7 \u03b5\u03c0\u03b1\u03bd\u03b1\u03bb\u03b1\u03bc\u03b2\u03b1\u03bd\u03cc\u03bc\u03b5\u03bd\u03b7 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1.<\/strong><\/p>\n

\u03a0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1: \"\dfrac{7}{6} = 1{,}16666\ldots = 1{,}1\overline{6}\"<\/p>\n

\u03a3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b1\u03af\u03bd\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9:<\/p>\n

    \n
  • \u03ad\u03bd\u03b1\u03c2 \u03c1\u03b7\u03c4\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b3\u03c1\u03b1\u03c6\u03b5\u03af \u03bc\u03b5 \u03c4\u03b7 \u03bc\u03bf\u03c1\u03c6\u03ae \u03c0\u03b5\u03c1\u03b9\u03bf\u03b4\u03b9\u03ba\u03bf\u03cd \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03bf\u03cd \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd \u03ba\u03b1\u03b9<\/li>\n
  • \u03ba\u03ac\u03b8\u03b5 \u03c0\u03b5\u03c1\u03b9\u03bf\u03b4\u03b9\u03ba\u03cc\u03c2 \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03c4\u03b7 \u03bc\u03bf\u03c1\u03c6\u03ae \u03ba\u03bb\u03b1\u03c3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd \u03c1\u03b7\u03c4\u03bf\u03cd.<\/li>\n<\/ul>\n

    <\/i> \u00a0\u03a0\u03b1\u03c1\u03b1\u03c4\u03ae\u03c1\u03b7\u03c3\u03b7:<\/span> <\/strong><\/em><\/span>\u039f \u03bb\u03cc\u03b3\u03bf\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03bf\u03c0\u03bf\u03af\u03bf \"\pi\" <\/em>\u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c1\u03b7\u03c4\u03cc\u03c2<\/span> \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03ad\u03c7\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03b1\u03c4\u03b5\u03bb\u03b5\u03af\u03c9\u03c4\u03b7 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03b1\u03c0\u03cc \u03c8\u03b7\u03c6\u03af\u03b1 \u03c0\u03bf\u03c5 \u03b4\u03b5\u03bd \u03b5\u03c0\u03b1\u03bd\u03b1\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03ba\u03cc \u03bc\u03bf\u03c4\u03af\u03b2\u03bf. \u0388\u03bd\u03b1\u03c2 \u03c1\u03b7\u03c4\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03b5\u03af\u03c4\u03b5 \u03ad\u03c7\u03b5\u03b9 \u03c0\u03b5\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ad\u03bd\u03b7 \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03ae \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03b5\u03af\u03c4\u03b5 \u03c0\u03b5\u03c1\u03b9\u03bf\u03b4\u03b9\u03ba\u03ae \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03ae \u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7.<\/em><\/p>\n

    \n

    <\/i> \u039c\u03b5\u03b8\u03bf\u03b4\u03bf\u03bb\u03bf\u03b3\u03af\u03b1<\/i><\/b><\/span><\/h4>\n

    \u0393\u03b9\u03b1 \u03bd\u03b1 \u03b3\u03c1\u03ac\u03c8\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1\u03bd \u03c0\u03b5\u03c1\u03b9\u03bf\u03b4\u03b9\u03ba\u03cc \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03cc \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03c3\u03b5 \u03bc\u03bf\u03c1\u03c6\u03ae \u03c1\u03b7\u03c4\u03bf\u03cd (\u03ba\u03bb\u03ac\u03c3\u03bc\u03b1\u03c4\u03bf\u03c2), \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03bf\u03cd\u03bc\u03b5 \u03bc\u03b9\u03b1 \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1. \u0391\u03c2 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03ad\u03bd\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03c0\u03b5\u03c1\u03b9\u03bf\u03b4\u03b9\u03ba\u03cc \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \"0{,} \overline{36}\" (\u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \"0{,}36363636\ldots\").<\/p>\n

      \n
    • \u0392\u03ae\u03bc\u03b1 1\u03bf:<\/strong>\u00a0\u039f\u03bd\u03bf\u03bc\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \"x\":\n

        <\/span>   <\/span>\"\[<\/p>\n<\/li>\n

    • \u0392\u03ae\u03bc\u03b1 2\u03bf: <\/strong>\u03a0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03bc\u03b5 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7 \u03c4\u03bf\u03c5 10 \u03ce\u03c3\u03c4\u03b5\u00a0\u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03c6\u03ad\u03c1\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03cc \u03bc\u03ad\u03c1\u03bf\u03c2 \u03c0\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03ad\u03c7\u03b5\u03b9 \u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03bf\u03b4\u03bf \u03b1\u03ba\u03c1\u03b9\u03b2\u03ce\u03c2 \u03bc\u03b5\u03c4\u03ac \u03c4\u03b7\u03bd \u03c5\u03c0\u03bf\u03b4\u03b9\u03b1\u03c3\u03c4\u03bf\u03bb\u03ae. \u0395\u03c0\u03b5\u03b9\u03b4\u03ae \u03b7 \u03c0\u03b5\u03c1\u03af\u03bf\u03b4\u03bf\u03c2 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc 2 \u03c8\u03b7\u03c6\u03af\u03b1, \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03bc\u03b5 100:\n

        <\/span>   <\/span>\"\[<\/p>\n<\/li>\n

    • \u0392\u03ae\u03bc\u03b1 3\u03bf:<\/strong> \u0391\u03c6\u03b1\u03b9\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03ba\u03b1\u03b9\u03bd\u03bf\u03cd\u03c1\u03b9\u03b1:\n

        <\/span>   <\/span>\"\[<\/p>\n

        <\/span>   <\/span>\"\[<\/p>\n<\/li>\n

    • \u0392\u03ae\u03bc\u03b1 4\u03bf:<\/strong> \u039b\u03cd\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \"x\":\n

        <\/span>   <\/span>\"\[<\/p>\n<\/li>\n<\/ul>\n

      \u0386\u03c1\u03b1, \u03bf \u03c0\u03b5\u03c1\u03b9\u03bf\u03b4\u03b9\u03ba\u03cc\u03c2 \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \"0{,} \overline{36}\" \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03bf\u03c2 \u03bc\u03b5 \u03c4\u03bf \u03ba\u03bb\u03ac\u03c3\u03bc\u03b1 \"\dfrac{4}{11}\".<\/p>\n

      \n

      <\/i> <\/i>\u0391\u03c2 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c9\u03b8\u03bf\u03cd\u03bc\u03b5<\/b><\/span><\/h4>\n

      1.<\/strong> \u0392\u03c1\u03b5\u03c2 \u03c4\u03b7 \u03b4\u03b5\u03ba\u03b1\u03b4\u03b9\u03ba\u03ae \u03bc\u03bf\u03c1\u03c6\u03ae \u03c4\u03c9\u03bd \u03c1\u03b7\u03c4\u03ce\u03bd:<\/p>\n

      \u03b1. \"\dfrac{17}{10}\"<\/p>\n

      \u03b2. \"\dfrac{5}{8}\"<\/p>\n

      \u03b3. \"\dfrac{5}{6}\"<\/p>\n

      2.<\/strong> \u0392\u03c1\u03b5\u03c2 \u03c4\u03b7\u03bd \u03ba\u03bb\u03b1\u03c3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03bc\u03bf\u03c1\u03c6\u03ae \u03c4\u03c9\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd:<\/p>\n

      \u03b1. \u00a0\"0{,}\overline{7}\"<\/p>\n

      \u03b2. \"0{,}\overline{23}\"<\/p>\n

      \u03b3. \"0{,}5\overline{12}\"<\/p>\n

      \n

      \u0392\u03b9\u03b2\u03bb\u03b9\u03bf\u03b3\u03c1\u03b1\u03c6\u03af\u03b1:<\/strong> \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u0391 \u0393\u03c5\u03bc\u03bd\u03b1\u03c3\u03af\u03bf\u03c5 (\u0399\u03c9\u03ac\u03bd\u03bd\u03b7\u03c2 \u0392\u03b1\u03bd\u03b4\u03bf\u03c5\u03bb\u03ac\u03ba\u03b7\u03c2,\u00a0\u03a7\u03b1\u03c1\u03ac\u03bb\u03b1\u03bc\u03c0\u03bf\u03c2 \u039a\u03b1\u03bb\u03bb\u03b9\u03b3\u03ac\u03c2,\u00a0\u039d\u03b9\u03ba\u03b7\u03c6\u03cc\u03c1\u03bf\u03c2 \u039c\u03b1\u03c1\u03ba\u03ac\u03ba\u03b7\u03c2,\u00a0\u03a3\u03c0\u03cd\u03c1\u03bf\u03c2 \u03a6\u03b5\u03c1\u03b5\u03bd\u03c4\u03af\u03bd\u03bf\u03c2, \u03a5.\u03a0\u0391\u0399.\u0398.)<\/p>\n

      Creative Commons \u0391\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac \u0394\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03bf\u03cd – \u039c\u03b7 \u0395\u03bc\u03c0\u03bf\u03c1\u03b9\u03ba\u03ae \u03a7\u03c1\u03ae\u03c3\u03b7 – \u03a0\u03b1\u03c1\u03cc\u03bc\u03bf\u03b9\u03b1 \u0394\u03b9\u03b1\u03bd\u03bf\u03bc\u03ae 4.0 \u0394\u03b9\u03b5\u03b8\u03bd\u03ad\u03c2<\/strong><\/p>\n

      \"\"<\/p>\n","protected":false},"excerpt":{"rendered":"

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