{"id":2046,"date":"2024-10-27T17:28:48","date_gmt":"2024-10-27T17:28:48","guid":{"rendered":"https:\/\/gbelentzas.sites.sch.gr\/?p=2046"},"modified":"2024-10-31T11:37:21","modified_gmt":"2024-10-31T11:37:21","slug":"1%ce%bf-%ce%ba%cf%81%ce%b9%cf%84%ce%ae%cf%81%ce%b9%ce%bf-%ce%b9%cf%83%cf%8c%cf%84%ce%b7%cf%84%ce%b1%cf%82-%cf%84%cf%81%ce%b9%ce%b3%cf%8e%ce%bd%cf%89%ce%bd-%cf%80-%ce%b3-%cf%80","status":"publish","type":"post","link":"https:\/\/gbelentzas.sites.sch.gr\/?p=2046","title":{"rendered":"1\u03bf \u03ba\u03c1\u03b9\u03c4\u03ae\u03c1\u03b9\u03bf \u03b9\u03c3\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c4\u03c1\u03b9\u03b3\u03ce\u03bd\u03c9\u03bd (\u03a0 – \u0393 – \u03a0)"},"content":{"rendered":"

\u0393\u03b9\u03b1 \u03b4\u03cd\u03bf \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03b1 \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03b7 \u03b5\u03be\u03ae\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1:<\/p>\n

\u0391\u03bd \u03b4\u03cd\u03bf \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bd \u03b4\u03cd\u03bf \u03c0\u03bb\u03b5\u03c5\u03c1\u03ad\u03c2 \u03af\u03c3\u03b5\u03c2 \u03bc\u03af\u03b1 \u03c0\u03c1\u03bf\u03c2 \u03bc\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03b9\u03b5\u03c7\u03cc\u03bc\u03b5\u03bd\u03b7 \u03b3\u03c9\u03bd\u03af\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03af\u03c3\u03b7, \u03c4\u03cc\u03c4\u03b5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03b1.<\/b><\/b><\/p>\n

\u0391\u03c5\u03c4\u03cc \u03c4\u03bf \u03ba\u03c1\u03b9\u03c4\u03ae\u03c1\u03b9\u03bf \u03b5\u03ba\u03c6\u03c1\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c5\u03bd\u03ae\u03b8\u03c9\u03c2 \u03c9\u03c2\u00a0\u03a0-\u0393-\u03a0<\/i> (\u03a0\u03bb\u03b5\u03c5\u03c1\u03ac-\u0393\u03c9\u03bd\u03af\u03b1-\u03a0\u03bb\u03b5\u03c5\u03c1\u03ac).<\/p>\n

\u0393\u03b9\u03b1 \u03bd\u03b1 \u03c4\u03bf \u03b5\u03c0\u03b9\u03b2\u03b5\u03b2\u03b1\u03b9\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03ba\u03c1\u03b9\u03c4\u03ae\u03c1\u03b9\u03bf, \u03b1\u03c2 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03bc\u03b9\u03b1 \u03b4\u03c1\u03b1\u03c3\u03c4\u03b7\u03c1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c3\u03c4\u03bf Geogebra <\/strong>(\u03ba\u03bb\u03b9\u03ba \u03c3\u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1).<\/em><\/p>\n

\"\"<\/a><\/p>\n

\n

\u0391\u03c2 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03c3\u03c4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03b1 \"AB\Gamma\" \u03ba\u03b1\u03b9 \"\Delta EZ\" \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03cc\u03c4\u03b9:<\/p>\n

1.\u0397 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u00a0\"AB = \Delta E\"<\/p>\n

2.\u0397 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u00a0\"A\Gamma = \Delta Z\"<\/p>\n

3.\u0397 \u03b3\u03c9\u03bd\u03af\u03b1\u00a0\"\hat{A}= \hat{\Delta}\"<\/p>\n

\"Rendered<\/p>\n

 <\/p>\n

\u03a3\u03cd\u03bc\u03c6\u03c9\u03bd\u03b1 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03a0-\u0393-\u03a0, \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b1\u03af\u03bd\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03b1 \u03b4\u03cd\u03bf \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03b1, \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03c4\u03b1 \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03b1 \u03b8\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03c5\u03c0\u03cc\u03bb\u03bf\u03b9\u03c0\u03b1 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b1 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03af\u03c3\u03b1.<\/p>\n

\u0393\u03b5\u03bd\u03b9\u03ba\u03cc\u03c4\u03b5\u03c1\u03b1 \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03cc\u03c4\u03b9, \u00a0\u03c3\u03b5 \u03af\u03c3\u03b1 \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03b1 \u03b1\u03c0\u03ad\u03bd\u03b1\u03bd\u03c4\u03b9 \u03b1\u03c0\u03cc \u03af\u03c3\u03b5\u03c2 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ad\u03c2 \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03bd\u03c4\u03b1\u03b9 \u03af\u03c3\u03b5\u03c2 \u03b3\u03c9\u03bd\u03af\u03b5\u03c2<\/strong>, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae<\/p>\n

1.\u0397 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac \"B\Gamma = EZ\"<\/p>\n

2.\u0397 \u03b3\u03c9\u03bd\u03af\u03b1 \"\hat{B} = \hat{E}\"<\/p>\n

3.\u0397 \u03b3\u03c9\u03bd\u03af\u03b1 \"\hat{\Gamma}= \hat{Z}\"<\/p>\n

\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 1<\/strong><\/span><\/em><\/p>\n

\u03a3\u03b5 \u03b9\u03c3\u03bf\u03c3\u03ba\u03b5\u03bb\u03ad\u03c2 \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03bf \u0391\u0392\u0393 (\u0391\u0392 = \u0391\u0393) \u03c6\u03ad\u03c1\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7 \u03b4\u03b9\u03c7\u03bf\u03c4\u03cc\u03bc\u03bf \u0391\u0394.<\/p>\n

\u03b1) \u039d\u03b1 \u03c3\u03c5\u03b3\u03ba\u03c1\u03b9\u03b8\u03bf\u03cd\u03bd \u03c4\u03b1 \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03b1 \u0391\u0392\u0394 \u03ba\u03b1\u03b9 \u0391\u0394\u0393.<\/p>\n

\u03b2) \u039d\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03c7\u03b8\u03b5\u03af \u03cc\u03c4\u03b9 \"\hat{B}=\hat{\Gamma}\"<\/p>\n

\u03b3) \u039d\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03c7\u03b8\u03b5\u03af \u03cc\u03c4\u03b9 \u03b7 \u03b4\u03b9\u03c7\u03bf\u03c4\u03cc\u03bc\u03bf\u03c2 \u0391\u0394 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b9\u03ac\u03bc\u03b5\u03c3\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03cd\u03c8\u03bf\u03c2.<\/p>\n

\u03b4) \u039d\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03c7\u03b8\u03b5\u03af \u03cc\u03c4\u03b9 \u03b7 \u03b4\u03b9\u03c7\u03bf\u03c4\u03cc\u03bc\u03bf\u03c2 \u0391\u0394 \u03b5\u03af\u03bd\u03b1\u03b9 \u03cd\u03c8\u03bf\u03c2.<\/p>\n

\"Rendered<\/p>\n

(\u0395\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03c3\u03c7\u03bf\u03bb\u03b9\u03ba\u03bf\u03cd \u03b2\u03b9\u03b2\u03bb\u03af\u03bf\u03c5)<\/span><\/em><\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 2<\/strong><\/span><\/em><\/p>\n

\u03a3\u03c4\u03bf \u03b4\u03b9\u03c0\u03bb\u03b1\u03bd\u03cc \u03c3\u03c7\u03ae\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u0391\u0392 = \u0391\u0393 \u03ba\u03b1\u03b9 \u0391\u0394 = \u0391\u0395. \u039d\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u0392\u0394 = \u0393\u0395.<\/p>\n

(\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 \u03c3\u03c7\u03bf\u03bb\u03b9\u03ba\u03bf\u03cd \u03b2\u03b9\u03b2\u03bb\u03af\u03bf\u03c5)<\/span><\/em><\/p>\n

\"\"<\/p>\n

 <\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 3<\/strong><\/span><\/em><\/p>\n

\u03a3\u03c4\u03bf \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03c3\u03c7\u03ae\u03bc\u03b1, \u03c4\u03b1 \u03c4\u03bc\u03ae\u03bc\u03b1\u03c4\u03b1 \u0391\u0397 \u03ba\u03b1\u03b9 \u0392\u0396 \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03ad\u03bc\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u039f \u03ad\u03c4\u03c3\u03b9 \u03ce\u03c3\u03c4\u03b5 \u03b7 \u03b3\u03c9\u03bd\u03af\u03b1 \u0391\u039f\u0392 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03b7 \u03bc\u03b5 800<\/sup>. \u0388\u03c3\u03c4\u03c9 \u03cc\u03c4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u0391\u0397 = \u0392\u0396 = 5 \u03ba\u03b1\u03b9 \u039f\u0397 = \u039f\u0396 =3.<\/p>\n

\u03b1) \u039d\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 = \u00a0=1000<\/sup>.<\/p>\n

\u03b2) \u0395\u03af\u03bd\u03b1\u03b9 \u03c4\u03b1 \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03b1 \u0391\u039f\u0396 \u03ba\u03b1\u03b9 \u0392\u039f\u0397 \u03af\u03c3\u03b1? \u039d\u03b1 \u03b1\u03b9\u03c4\u03b9\u03bf\u03bb\u03bf\u03b3\u03ae\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03ae \u03c3\u03b1\u03c2.<\/p>\n

(\u03a4\u03c1\u03ac\u03c0\u03b5\u03b6\u03b1 \u03b8\u03b5\u03bc\u03ac\u03c4\u03c9\u03bd \u0395\u03a0\u0391\u039b – 13445)<\/span><\/em><\/p>\n

\"\"<\/p>\n

 <\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 4<\/strong><\/span><\/em><\/p>\n

\u03a3\u03c4\u03bf \u03b4\u03b9\u03c0\u03bb\u03b1\u03bd\u03cc \u03c3\u03c7\u03ae\u03bc\u03b1 \u03b7 \u039f\u03b4 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03b9\u03c7\u03bf\u03c4\u03cc\u03bc\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03b3\u03c9\u03bd\u03af\u03b1\u03c2 x\u00d4y. \u0391\u03bd \u039f\u0391 = \u039f\u0392 \u03ba\u03b1\u03b9 \u03a3 \u03c4\u03c5\u03c7\u03b1\u03af\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03c4\u03b7\u03c2 \u03b4\u03b9\u03c7\u03bf\u03c4\u03cc\u03bc\u03bf\u03c5, \u03bd\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03a3\u0391 = \u03a3\u0392.<\/p>\n

\"\"<\/p>\n

(\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 \u03c3\u03c7\u03bf\u03bb\u03b9\u03ba\u03bf\u03cd \u03b2\u03b9\u03b2\u03bb\u03af\u03bf\u03c5)<\/span><\/em><\/p>\n

 <\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 5<\/strong><\/span><\/em><\/p>\n

\u03a3\u03c4\u03bf \u03b4\u03b9\u03c0\u03bb\u03b1\u03bd\u03cc \u03c3\u03c7\u03ae\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u039f\u0391 = \u039f\u0393 \u03ba\u03b1\u03b9 \u039f\u0392 = \u039f\u0394. \u039d\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u0392\u0393 = \u0391\u0394.<\/p>\n

\"\"<\/p>\n

(\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 \u03c3\u03c7\u03bf\u03bb\u03b9\u03ba\u03bf\u03cd \u03b2\u03b9\u03b2\u03bb\u03af\u03bf\u03c5)<\/span><\/em><\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 6<\/strong><\/span><\/em><\/p>\n

\u03a3\u03c4\u03b9\u03c2 \u03c0\u03c1\u03bf\u03b5\u03ba\u03c4\u03ac\u03c3\u03b5\u03b9\u03c2 \u03c4\u03c9\u03bd \u03af\u03c3\u03c9\u03bd \u03c0\u03bb\u03b5\u03c5\u03c1\u03ce\u03bd \u0391\u0392, \u0391\u0393 \u03b5\u03bd\u03cc\u03c2 \u03b9\u03c3\u03bf\u03c3\u03ba\u03b5\u03bb\u03bf\u03cd\u03c2 \u03c4\u03c1\u03b9\u03b3\u03ce\u03bd\u03bf\u03c5 \u0391\u0392\u0393 \u03bd\u03b1 \u03c0\u03ac\u03c1\u03b5\u03c4\u03b5 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03af\u03c7\u03c9\u03c2 \u03c4\u03bc\u03ae\u03bc\u03b1\u03c4\u03b1 \u0392\u0394 = \u0393\u0395. \u039d\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \"\hat{\Delta}=\hat{E}\".<\/p>\n

\"\"<\/p>\n

(\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 \u03c3\u03c7\u03bf\u03bb\u03b9\u03ba\u03bf\u03cd \u03b2\u03b9\u03b2\u03bb\u03af\u03bf\u03c5)<\/span><\/em><\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 7<\/strong><\/span><\/em><\/p>\n

\u039a\u03ac\u03b8\u03b5 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac \u03c4\u03bf\u03c5 \u03b9\u03c3\u03bf\u03c0\u03bb\u03b5\u03cd\u03c1\u03bf\u03c5 \u03c4\u03c1\u03b9\u03b3\u03ce\u03bd\u03bf\u03c5 \u0391\u0392\u0393 \u03b5\u03af\u03bd\u03b1\u03b9 8 cm. \u0391\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u0391\u0396 = \u0392\u0394 = \u0393\u0395 = 3 cm, \u03bd\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03bf \u0394\u0395\u0396 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b9\u03c3\u03cc\u03c0\u03bb\u03b5\u03c5\u03c1\u03bf.<\/p>\n

\"\"<\/p>\n

(\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 \u03c3\u03c7\u03bf\u03bb\u03b9\u03ba\u03bf\u03cd \u03b2\u03b9\u03b2\u03bb\u03af\u03bf\u03c5)<\/span><\/em><\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 8<\/span><\/em><\/strong><\/p>\n

\u0394\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b4\u03cd\u03bf \u03af\u03c3\u03b1 \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03b1 \u0391\u0392\u0393 \u03ba\u03b1\u03b9 \u0394\u0396\u0395 \u03b3\u03b9\u03b1 \u03c4\u03b1 \u03bf\u03c0\u03bf\u03af\u03b1 \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u0391\u0392 =\u0394\u0396 = 4cm, \u0391\u0393 = \u0394\u0395 \u03ba\u03b1\u03b9 \"\hat{A}=\hat{\Delta}\" . \u0388\u03c3\u03c4\u03c9 \u0398 \u03c4\u03bf \u03bc\u03ad\u03c3\u03bf \u03c4\u03b7\u03c2 \u0391\u0392 \u03ba\u03b1\u03b9 \u0397 \u03c4\u03bf \u03bc\u03ad\u03c3\u03bf \u03c4\u03b7\u03c2 \u0394\u0396.<\/p>\n

\u03b1) \u039d\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03b5\u03c4\u03b5 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03c9\u03bd \u03b5\u03c5\u03b8\u03c5\u03b3\u03c1\u03ac\u03bc\u03bc\u03c9\u03bd \u03c4\u03bc\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u0391\u0398 \u03ba\u03b1\u03b9 \u0394\u0397.<\/p>\n

\u03b2) \u039d\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03b1 \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03b1 \u0391\u0393\u0398 \u03ba\u03b1\u03b9 \u0394\u0395\u0397 \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03b1.<\/p>\n

(\u03a4\u03c1\u03ac\u03c0\u03b5\u03b6\u03b1 \u03b8\u03b5\u03bc\u03ac\u03c4\u03c9\u03bd \u0395\u03a0\u0391\u039b – 12454)<\/span><\/em><\/p>\n

\u00a0 \"\"<\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 9<\/strong><\/span><\/em><\/p>\n

\u0394\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03bf \u0391\u0392\u0393 \u03bc\u03b5 \u00a0\u03ba\u03b1\u03b9 \u00a0\u03ba\u03b1\u03b9 \u03b7 \u03b4\u03b9\u03c7\u03bf\u03c4\u03cc\u03bc\u03bf\u03c2 \u03c4\u03bf\u03c5 \u0391\u0394. \u03a3\u03c4\u03b7\u03bd \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac \u0391\u0393 \u03c0\u03b1\u03af\u03c1\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u0395, \u03ce\u03c3\u03c4\u03b5 .<\/p>\n

\u03b1) \u039d\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03b5\u03c4\u03b5 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03c4\u03bc\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u0391\u0395. \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(\u039c\u03bf\u03bd\u03ac\u03b4\u03b5\u03c2 10)<\/p>\n

\u03b2) \u039d\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03b1 \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03b1 \u0391\u0392\u0394 \u03ba\u03b1\u03b9 \u0391\u0395\u0394 \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03b1.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0(\u039c\u03bf\u03bd\u03ac\u03b4\u03b5\u03c2 15)<\/p>\n

(\u03a4\u03c1\u03ac\u03c0\u03b5\u03b6\u03b1 \u03b8\u03b5\u03bc\u03ac\u03c4\u03c9\u03bd \u0395\u03a0\u0391\u039b – 13436)<\/span><\/em><\/p>\n

\"\"<\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 10<\/strong><\/span><\/em><\/p>\n

\u0398\u03b5\u03c9\u03c1\u03bf\u03cd\u03bc\u03b5 \u03b9\u03c3\u03bf\u03c3\u03ba\u03b5\u03bb\u03ad\u03c2 \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03bf \u0391\u0392\u0393 \u03bc\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03c4\u03b7\u03bd \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac \u0392\u0393. \u0391\u03c0\u03cc \u03c4\u03b9\u03c2 \u03ba\u03bf\u03c1\u03c5\u03c6\u03ad\u03c2 \u0392 \u03ba\u03b1\u03b9 \u0393 \u03c6\u03ad\u03c1\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b9\u03c2 \u03b4\u03b9\u03b1\u03bc\u03ad\u03c3\u03bf\u03c5\u03c2 \u0392\u039c \u03ba\u03b1\u03b9 \u0393\u039d \u03c0\u03bf\u03c5 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf\u03cd\u03bd \u03c3\u03c4\u03b9\u03c2 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ad\u03c2 \u03c4\u03bf\u03c5 \u0391\u0393 \u03ba\u03b1\u03b9 \u0391\u0392 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b1.<\/p>\n

\u03b1) \u039d\u03b1 \u03c3\u03c5\u03b3\u03ba\u03c1\u03af\u03bd\u03b5\u03c4\u03b5 \u03c4\u03b1 \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03b1 \u0392\u0393\u039c \u03ba\u03b1\u03b9 \u0393\u0392\u039d \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b1\u03b9\u03c4\u03b9\u03bf\u03bb\u03bf\u03b3\u03ae\u03c3\u03b5\u03c4\u03b5 \u03b3\u03b9\u03b1\u03c4\u03af \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03b1.<\/p>\n

\u03b2) \u039d\u03b1 \u03b5\u03be\u03b7\u03b3\u03ae\u03c3\u03b5\u03c4\u03b5 \u03b3\u03b9\u03b1\u03c4\u03af \u03bf\u03b9 \u03b4\u03b9\u03ac\u03bc\u03b5\u03c3\u03bf\u03b9 \u0392\u039c \u03ba\u03b1\u03b9 \u0393\u039d \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03b5\u03c2.<\/p>\n

(\u03a4\u03c1\u03ac\u03c0\u03b5\u03b6\u03b1 \u03b8\u03b5\u03bc\u03ac\u03c4\u03c9\u03bd \u0395\u03a0\u0391\u039b – 13683)<\/span><\/em><\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 11<\/strong><\/span><\/em><\/p>\n

\u03a3\u03c4\u03b7 \u03b2\u03ac\u03c3\u03b7 \u0392\u0393 \u03b5\u03bd\u03cc\u03c2 \u03b9\u03c3\u03bf\u03c3\u03ba\u03b5\u03bb\u03bf\u03cd\u03c2 \u03c4\u03c1\u03b9\u03b3\u03ce\u03bd\u03bf\u03c5 \u0391\u0392\u0393 \u03bd\u03b1 \u03c0\u03ac\u03c1\u03b5\u03c4\u03b5 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u0394, \u0395, \u03ce\u03c3\u03c4\u03b5 \u0392\u0394 = \u0393\u0395. \u039d\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u0391\u0394 = \u0391\u0395.<\/p>\n

(\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 \u03c3\u03c7\u03bf\u03bb\u03b9\u03ba\u03bf\u03cd \u03b2\u03b9\u03b2\u03bb\u03af\u03bf\u03c5)<\/span><\/em><\/p>\n

\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 12<\/strong><\/span><\/em><\/p>\n

\u0398\u03b5\u03c9\u03c1\u03bf\u03cd\u03bc\u03b5 \u03ba\u03cd\u03ba\u03bb\u03bf \u03ba\u03ad\u03bd\u03c4\u03c1\u03bf\u03c5 \u039f \u03ba\u03b1\u03b9 \u03c7\u03bf\u03c1\u03b4\u03ae \u03c4\u03bf\u03c5 \u0391\u0392. \u03a0\u03ac\u03bd\u03c9 \u03c3\u03c4\u03b7 \u03c7\u03bf\u03c1\u03b4\u03ae \u0391\u0392 \u03c0\u03b1\u03af\u03c1\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u0393 \u03ba\u03b1\u03b9 \u0394 \u03c4\u03ad\u03c4\u03bf\u03b9\u03b1, \u03ce\u03c3\u03c4\u03b5 \u0391\u0393 = \u0392\u0394.<\/p>\n

\u03b1) \u039d\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03bf \u0391\u039f\u0392 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b9\u03c3\u03bf\u03c3\u03ba\u03b5\u03bb\u03ad\u03c2<\/p>\n

\u03b2) \u039d\u03b1 \u03b5\u03be\u03b5\u03c4\u03ac\u03c3\u03b5\u03c4\u03b5 \u03b1\u03bd \u03c4\u03b1 \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03b1 \u039f\u0391\u0393 \u03ba\u03b1\u03b9 \u039f\u0392\u0394 \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03b1. \u039d\u03b1 \u03b1\u03b9\u03c4\u03b9\u03bf\u03bb\u03bf\u03b3\u03ae\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03ae \u03c3\u03b1\u03c2.<\/p>\n

\u03b3) \u0395\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03b1 \u03c4\u03b1 \u03c4\u03bc\u03ae\u03bc\u03b1\u03c4\u03b1 \u039f\u0393 \u03ba\u03b1\u03b9 \u039f\u0394; \u039d\u03b1 \u03b1\u03b9\u03c4\u03b9\u03bf\u03bb\u03bf\u03b3\u03ae\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03ae \u03c3\u03b1\u03c2.<\/p>\n

(\u03a4\u03c1\u03ac\u03c0\u03b5\u03b6\u03b1 \u03b8\u03b5\u03bc\u03ac\u03c4\u03c9\u03bd \u0395\u03a0\u0391\u039b – 13685)<\/span><\/em><\/p>\n

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

\u0393\u03b9\u03b1 \u03b4\u03cd\u03bf \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03b1 \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03b7 \u03b5\u03be\u03ae\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1: \u0391\u03bd \u03b4\u03cd\u03bf \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bd \u03b4\u03cd\u03bf \u03c0\u03bb\u03b5\u03c5\u03c1\u03ad\u03c2 \u03af\u03c3\u03b5\u03c2 \u03bc\u03af\u03b1 \u03c0\u03c1\u03bf\u03c2 \u03bc\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03b9\u03b5\u03c7\u03cc\u03bc\u03b5\u03bd\u03b7 \u03b3\u03c9\u03bd\u03af\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03af\u03c3\u03b7, \u03c4\u03cc\u03c4\u03b5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03b1. \u0391\u03c5\u03c4\u03cc \u03c4\u03bf \u03ba\u03c1\u03b9\u03c4\u03ae\u03c1\u03b9\u03bf \u03b5\u03ba\u03c6\u03c1\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c5\u03bd\u03ae\u03b8\u03c9\u03c2 \u03c9\u03c2\u00a0\u03a0-\u0393-\u03a0 (\u03a0\u03bb\u03b5\u03c5\u03c1\u03ac-\u0393\u03c9\u03bd\u03af\u03b1-\u03a0\u03bb\u03b5\u03c5\u03c1\u03ac). \u0393\u03b9\u03b1 \u03bd\u03b1 \u03c4\u03bf \u03b5\u03c0\u03b9\u03b2\u03b5\u03b2\u03b1\u03b9\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03ba\u03c1\u03b9\u03c4\u03ae\u03c1\u03b9\u03bf, \u03b1\u03c2 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03bc\u03b9\u03b1 \u03b4\u03c1\u03b1\u03c3\u03c4\u03b7\u03c1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c3\u03c4\u03bf Geogebra (\u03ba\u03bb\u03b9\u03ba \u03c3\u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1)….<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[41],"tags":[],"class_list":["post-2046","post","type-post","status-publish","format-standard","hentry","category-1-"],"featured_image_src":null,"author_info":{"display_name":"admin","author_link":"https:\/\/gbelentzas.sites.sch.gr\/?author=1"},"yoast_head":"\n1\u03bf \u03ba\u03c1\u03b9\u03c4\u03ae\u03c1\u03b9\u03bf \u03b9\u03c3\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c4\u03c1\u03b9\u03b3\u03ce\u03bd\u03c9\u03bd (\u03a0 - \u0393 - \u03a0) - MathsEdu.gr<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/gbelentzas.sites.sch.gr\/?p=2046\" \/>\n<meta property=\"og:locale\" content=\"el_GR\" \/>\n<meta property=\"og:type\" content=\"article\" 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