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Παρασκευή 31 Μαΐου 2013

Όταν οι μαθητές βάζουν τα γυαλιά στους καθηγητές!

Παρουσιάζουμε μία όμορφη λύση ενός μαθητή στο επίμαχο ερώτημα Β3 στα Μαθηματικά Κατεύθυνσης. Είναι από τις λύσεις που δεν κυκλοφορούν και συνδυάζει γνώσεις Β Λυκείου και κυρίως δεν χρησιμοποιεί απαγωγή σε άτοπο που τελικά αποδείχθηκε δύσκολη κίνηση.

Μόλις ολοκληρωθεί η βαθμολόγηση των γραπτών θα αναφέρουμε και σε ποιο βαθμολογικό κέντρο βρήκαμε την παρακάτω λύση.

Δείτε την, αξίζει!

Ανανέωση (1/6/2013): Αντικατέστησα την Ευκλείδεια Διαίρεση με το σχήμα Horner για να απεικονίσω την ακριβή λύση του μαθητή. 



Θέματα εξετάσεων Μαΐου - Ιουνίου στα Μαθηματικά A - B Λυκείου


Από την τράπεζα θεμάτων της Δευτεροβάθμιας Εκπαίδευσης Στερεάς Ελλάδας, Μαθηματικά A΄ Β΄ Λυκείου, περιόδου Μαΐου - Ιουνίου.

Είναι περιόδου 2005 έως 2008, όμως τα θέματα εξετάσεων Λυκείου είναι διαχρονικά.

Η ανάρτηση των θεμάτων που τέθηκαν στις εξετάσεις Α΄ Λυκείου και Β΄ Λυκείου των σχολικών μονάδων την περίοδο Μαΐου – Ιουνίου στοχεύει στην ενημέρωση των συναδέλφων εκπαιδευτικών, κυρίως νεοδιόριστων, για το πνεύμα και το επίπεδο των θεμάτων που τίθενται στις εξετάσεις. Ταυτόχρονα αποτελεί και ευκαιρία εμπλουτισμού των εμπειριών όλων μας. Οι παρατηρήσεις που συνοδεύουν τα θέματα αναφέρονται κυρίως στο νομότυπο, στον όγκο και στο επίπεδο δυσκολίας.

Η επιλογή των θεμάτων στο Γυμνάσιο γίνεται σύμφωνα με τα Π.Δ. 508/77 (άρθρο 3 παρ. 21) και 429/91 (άρθρο 2 παρ. 8) και στο Λύκειο σύμφωνα με τα Π.Δ. 86/01, 26/02 και 80/03 (άρθρα 12, 14, 15, 16 και 17, όπως έχουν τροποποιηθεί και ισχύουν σήμερα στο μέρος που αναφέρεται στην επιλογή των θεμάτων της Β΄ Λυκείου).

Είναι ευθύνη και των Διευθυντών των Σχολικών Μονάδων η ενημέρωση των διδασκόντων για τα ισχύοντα όσον αφορά στη μορφή των θεμάτων εξετάσεων που προβλέπεται από τις κείμενες διατάξεις.

Σημείωση: Την ηλεκτρονική επεξεργασία των θεμάτων των Μαθηματικών επιμελήθηκε ο Μαθηματικός Σπ. Παναγιωτόπουλος. Οι παρατηρήσεις που συνοδεύουν τα θέματα επισημάνθηκαν από το Σχολικό Σύμβουλο Μαθηματικών Ηλ. Αργυρόπουλο, σε συνεργασία με το Σπ. Παναγιωτόπουλο.


A΄ Λυκείου

Άλγεβρα
2008
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2007
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2006
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Γεωμετρία
2008
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2007
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2005
Β΄ Λυκείου

Άλγεβρα
2008
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2007
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2005
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Γεωμετρία
2008
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2007
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2005
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  • 28.pdf 188.95 KB 2006-05-08 14:07:34
  • 29.pdf 192.52 KB 2006-05-08 14:07:56
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  • 32.pdf 157.13 KB 2006-05-08 14:08:59
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  • 41.pdf 147.85 KB 2006-05-08 14:12:11
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  • 43.pdf 130.29 KB 2006-05-08 14:12:55
  • 44.pdf 136.81 KB 2006-05-08 14:13:10
  • 45.pdf 135.04 KB 2006-05-08 14:13:34
  • 46.pdf 150.58 KB 2006-05-08 14:14:09
  • 47.pdf 219.86 KB 2006-05-08 14:14:59
  • 48.pdf 164.75 KB 2006-05-08 14:15:25
  • 49.pdf 157.88 KB 2006-05-08 14:15:57
  • 50.pdf 186.88 KB 2006-05-08 14:16:43
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  • 52.pdf 237.78 KB 2006-05-08 14:17:26
  • 53.pdf 186.28 KB 2006-05-08 14:17:48
  • 54.pdf 134.19 KB 2006-05-08 14:18:01
  • 55.pdf 224.05 KB 2006-05-08 14:18:28
  • 56.pdf 191.89 KB 2006-05-08 14:19:21
  • 57.pdf 168.03 KB 2006-05-08 14:20:02
  • 58.pdf 160.83 KB 2006-05-08 14:21:03
  • 59.pdf 189.39 KB 2006-05-08 14:21:36
  • 60.pdf 178.11 KB 2006-05-08 14:22:08
  • 61.pdf 208.03 KB 2006-05-08 14:22:50
  • 62.pdf 194.94 KB 2006-05-08 14:23:20
  • 63.pdf 165.79 KB 2006-05-08 14:23:43
  • 64.pdf 186.65 KB 2006-05-08 14:24:13
  • 65.pdf 196.82 KB 2006-05-08 14:24:57
  • 66.pdf 197.13 KB 2006-05-08 14:25:32
  • 67.pdf 153.88 KB 2006-05-08 14:25:52
  • 68.pdf 259.53 KB 2006-05-08 14:26:27
  • 69.pdf 204.75 KB 2006-05-08 14:26:46
  • 70.pdf 152.39 KB 2006-05-08 14:27:02
  • 71.pdf 221.15 KB 2006-05-08 14:27:25
  • 72.pdf 154.87 KB 2006-05-08 14:27:44
  • 73.pdf 202.72 KB 2006-05-08 14:28:09
  • 74.pdf 228.26 KB 2006-05-08 14:28:30
Κατεύθυνση
2008
  • 1.pdf 974.05 KB 2009-05-08 13:31:18
  • 2.pdf 1.04 MB 2009-05-08 13:32:22
  • 3.pdf 1011.84 KB 2009-05-08 13:32:30
  • 4.pdf 958.12 KB 2009-05-08 13:32:53
  • 5.pdf 944.50 KB 2009-05-08 13:33:03
  • 6.pdf 968.32 KB 2009-05-08 13:33:23
  • 7.pdf 984.55 KB 2009-05-08 13:33:33
  • 8.pdf 927.10 KB 2009-05-08 13:33:51
  • 9.pdf 1.02 MB 2009-05-08 13:33:59
  • 10.pdf 971.57 KB 2009-05-08 13:31:30
  • 11.pdf 983.68 KB 2009-05-08 13:31:44
  • 12.pdf 953.24 KB 2009-05-08 13:31:58
2007
  • 1.pdf 169.32 KB 2007-11-29 13:23:54
  • 2.pdf 152.96 KB 2007-11-29 13:24:01
  • 3.pdf 208.72 KB 2007-11-29 13:24:09
  • 4.pdf 128.57 KB 2007-11-29 13:24:14
  • 5.pdf 224.56 KB 2007-11-29 13:24:24
  • 6.pdf 171.18 KB 2007-11-29 13:24:32
  • 7.pdf 151.95 KB 2007-11-29 13:24:38
  • 8.pdf 109.62 KB 2007-11-29 13:24:45
  • 9.pdf 159.92 KB 2007-11-29 13:24:55
  • 10.pdf 231.01 KB 2007-11-29 13:25:08
  • 11.pdf 183.80 KB 2007-11-29 13:25:17
  • 12.pdf 187.07 KB 2007-11-29 13:25:26
  • 13.pdf 184.41 KB 2007-11-29 13:25:37
  • 14.pdf 198.64 KB 2007-11-29 13:25:50
  • 15.pdf 160.56 KB 2007-11-29 13:25:57
  • 16.pdf 154.51 KB 2007-11-29 13:26:06
  • 17.pdf 147.96 KB 2007-11-29 13:26:14
  • 18.pdf 203.13 KB 2007-11-29 13:26:22
  • 19.pdf 177.17 KB 2007-11-29 13:26:40
  • 20.pdf 110.19 KB 2007-11-29 13:26:46
  • 21.pdf 171.44 KB 2007-11-29 13:27:00
  • 22.pdf 177.03 KB 2007-11-29 13:27:09
2005
  • 01.pdf 200.03 KB 2006-05-04 13:36:17
  • 02.pdf 149.04 KB 2006-05-04 13:36:44
  • 03.pdf 122.52 KB 2006-05-04 13:37:26
  • 04.pdf 127.32 KB 2006-05-04 13:38:01
  • 05.pdf 206.08 KB 2006-05-04 13:39:14
  • 06.pdf 202.34 KB 2006-05-04 13:40:11
  • 07.pdf 126.34 KB 2006-05-04 13:40:44
  • 08.pdf 126.65 KB 2006-05-04 13:41:23
  • 09.pdf 268.80 KB 2006-05-04 13:42:28
  • 10.pdf 221.90 KB 2006-05-04 13:43:30
  • 11.pdf 208.15 KB 2006-05-04 13:44:37
  • 12.pdf 125.68 KB 2006-05-04 13:45:13
  • 13.pdf 153.82 KB 2006-05-04 13:46:17
  • 14.pdf 125.44 KB 2006-05-04 13:46:47
  • 15.pdf 179.17 KB 2006-05-04 13:47:42
  • 16.pdf 131.38 KB 2006-05-04 13:48:19
  • 17.pdf 133.27 KB 2006-05-04 13:49:10
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  • 21.pdf 142.30 KB 2006-05-04 13:52:03
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  • 25.pdf 131.49 KB 2006-05-04 13:56:06
  • 26.pdf 196.98 KB 2006-05-04 13:57:07
  • 27.pdf 188.99 KB 2006-05-04 13:58:08
  • 28.pdf 145.24 KB 2006-05-04 13:58:52
  • 29.pdf 160.21 KB 2006-05-04 13:59:34
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  • 32.pdf 149.11 KB 2006-05-04 14:02:02
  • 33.pdf 186.53 KB 2006-05-04 14:02:55
  • 34.pdf 191.40 KB 2006-05-04 14:03:40
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  • 42.pdf 149.91 KB 2006-05-04 14:09:39
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  • 62.pdf 214.52 KB 2006-05-04 14:23:47
  • 63.pdf 265.04 KB 2006-05-04 14:24:56
  • 64.pdf 218.28 KB 2006-05-04 14:25:58
  • 65.pdf 189.83 KB 2006-05-04 14:26:50
  • 66.pdf 213.03 KB 2006-05-04 14:27:51
  • 67.pdf 145.62 KB 2006-05-04 14:28:28
  • 68.pdf 196.66 KB 2006-05-04 14:29:10
  • 69.pdf 213.83 KB 2006-05-04 14:30:02
  • 70.pdf 179.11 KB 2006-05-04 14:30:38
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  • 72.pdf 188.79 KB 2006-05-04 14:32:09
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  • 75.pdf 191.13 KB 2006-05-04 14:34:25
  • 76.pdf 129.52 KB 2006-05-04 14:34:58
  • 77.pdf 215.65 KB 2006-05-04 14:35:49
  • 78.pdf 123.89 KB 2006-05-04 14:36:14
  • 79.pdf 132.89 KB 2006-05-04 14:36:38

Γ΄ Λυκείου
2007
  • 1.pdf 125.24 KB 2007-11-29 13:34:18
  • 2.pdf 207.97 KB 2007-11-29 13:34:29
  • 3.pdf 191.93 KB 2007-11-29 13:34:39
  • 4.pdf 171.99 KB 2007-11-29 13:34:47
  • 5.pdf 142.12 KB 2007-11-29 13:34:53
  • 6.pdf 147.48 KB 2007-11-29 13:35:00
  • 7.pdf 180.01 KB 2007-11-29 13:35:08
  • 8.pdf 139.05 KB 2007-11-29 13:35:15
  • 9.pdf 183.76 KB 2007-11-29 13:35:23
  • 10.pdf 180.92 KB 2007-11-29 13:35:32
  • 11.pdf 177.02 KB 2007-11-29 13:35:40
  • 12.pdf 165.13 KB 2007-11-29 13:35:50
  • 13.pdf 217.30 KB 2007-11-29 13:35:59
  • 14.pdf 145.14 KB 2007-11-29 13:36:09
  • 15.pdf 116.70 KB 2007-11-29 13:36:15
  • 16.pdf 182.62 KB 2007-11-29 13:36:23
  • 17.pdf 165.52 KB 2007-11-29 13:36:34
  • 18.pdf 152.55 KB 2007-11-29 13:36:42
  • 19.pdf 151.21 KB 2007-11-29 13:36:50
  • 20.pdf 257.14 KB 2007-11-29 13:37:04