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002FA0: 78 E7 EF FF 47 01 0D 00 00 79 E7 EF FF 48 01 A0 x...G....y...H..
002FB0: 20 1E 38 2C 00 24 00 3C 2D A1 20 0D 00 00 74 72 .8,.$.<-. ...tr
002FC0: 61 69 F4 EF 0E 20 FC 20 0D 00 00 74 72 61 69 F4 ai... . ...trai.
002FD0: EF 0F 20 EB 20 1E 38 2C 00 4E 00 46 2D AE 20 0D .. . .8,.N.F-. .
002FE0: 00 00 78 E7 2C 0D 00 00 79 E7 01 95 20 F5 19 10 ..x.,...y... ...
002FF0: 2C 0E 2C 0D 00 00 63 6F 6C B0 01 0D 00 00 78 E7 ,.,...col.....x.
003000: EF FF 47 01 0D 00 00 79 E7 EF FF 48 01 0D 00 00 ..G....y...H....
003010: 74 72 61 69 F4 EF 0D 00 00 74 72 61 69 F4 F5 0F trai.....trai...
003020: 01 A0 20 1E 38 2C 00 28 00 50 2D C5 20 2A 2A 2A .. .8,.(.P-. ***
003030: 2A 20 65 63 72 69 74 75 72 65 20 64 27 75 6E 65 * ecriture d'une
003040: 20 66 72 61 63 74 69 6F 6E 20 2A 2A 2A 2A 00 4A fraction ****.J
003050: 00 5A 2D A1 20 28 0D 00 00 64 65 EE EF 0F 20 FC .Z-. (...de... .
003060: 20 0D 00 00 4E 55 CD EF 0E 29 20 EB 20 A9 20 0D ...NU...) . . .
003070: 00 00 78 F8 2C 0D 00 00 79 F9 01 BF 20 0D 00 00 ..x.,...y... ...
003080: 6E 75 ED 3B 01 99 72 0D 00 00 70 78 B1 EF FF 78 nu.;..r...px...x
003090: 28 23 0E 29 01 A0 20 1E AA 2D 00 49 00 64 2D A1 (#.).. ..-.I.d-.
0030A0: 20 28 0D 00 00 EC F5 0D 00 00 6C EE 29 20 FB 20 (........l.) .
0030B0: 10 20 EF 0E 20 FA 20 0D 00 00 6E 75 ED EE 0E 20 . .. . ...nu...
0030C0: EB 20 0D 00 00 70 EE EF 0D 00 00 78 F8 F4 28 0D . ...p.....x..(.
0030D0: 00 00 EC F5 0D 00 00 6C EE 29 F7 10 20 01 A0 20 .......l.).. ..
0030E0: 1E 82 2D 00 49 00 6E 2D A1 20 28 0D 00 00 EC F5 ..-.I.n-. (.....
0030F0: 0D 00 00 6C EE 29 20 FB 20 10 20 EF 0F 20 FA 20 ...l.) . . .. .
003100: 0D 00 00 6E 75 ED EE 0E 20 EB 20 0D 00 00 70 EE ...nu... . ...p.
003110: EF 0D 00 00 78 F8 F4 28 0D 00 00 EC F5 0D 00 00 ....x..(........
003120: 6C EE 29 F7 10 20 01 A0 20 1E 82 2D 00 64 00 78 l.).. .. ..-.d.x
003130: 2D A1 20 28 0D 00 00 EC F5 0D 00 00 6C EE 29 20 -. (........l.)
003140: FB 20 10 20 EF 0E 20 FA 20 0D 00 00 6E 75 ED F1 . . .. . ...nu..
003150: 0E 20 EB 20 0D 00 00 70 EE EF 0D 00 00 78 F8 F4 . . ...p.....x..
003160: 28 0D 00 00 EC F5 0D 00 00 6C EE F4 10 29 F7 10 (........l...)..
003170: 20 01 97 20 0D 00 00 70 EE EF 0D 00 00 78 F8 F4 .. ...p.....x..
003180: 28 0D 00 00 EC F5 0D 23 65 00 00 6C EE F4 0F 29 (......#e..l...)
003190: F7 10 00 2C 00 82 2D A9 20 0D 00 00 70 EE 2C 0D ...,..-. ...p.,.
0031A0: 00 00 79 F9 F5 0F 01 BF 20 0D 00 00 6E 75 ED 3B ..y..... ...nu.;
0031B0: 01 0D 00 00 70 78 B1 EF FF 78 28 23 0E 29 00 57 ....px...x(#.).W
0031C0: 00 8C 2D A1 20 28 0D 00 00 EC F5 0D 00 00 6C E4 ..-. (........l.
0031D0: 29 20 FB 20 10 20 EF 0E 20 EB 20 0D 00 00 70 E4 ) . . .. . ...p.
0031E0: EF 0D 00 00 78 F8 F4 28 0D 00 00 EC F5 0D 00 00 ....x..(........
0031F0: 6C E4 29 F7 10 20 01 97 20 0D 00 00 70 E4 EF 0D l.).. .. ...p...
003200: 00 00 78 F8 F4 28 0D 00 00 EC F5 0D 00 00 6C E4 ..x..(........l.
003210: F4 0F 29 F7 10 00 37 00 96 2D A9 20 0D 00 00 70 ..)...7..-. ...p
003220: E4 2C 0D 00 00 79 F9 F4 0F 01 BF 20 0D 00 00 64 .,...y..... ...d
003230: 65 EE 3B 01 0D 00 00 70 78 B1 EF FF 76 28 0D 00 e.;....px...v(..
003240: 00 70 78 B1 2C FF 78 28 23 0E 29 29 00 38 00 A0 .px.,.x(#.)).8..
003250: 2D AE 20 19 10 F6 28 0D 00 00 70 78 B1 F5 10 29 -. ...(...px...)
003260: 2C 28 19 19 F5 0D 00 00 79 F9 29 F6 19 10 F4 17 ,(......y.).....
003270: 01 95 20 F5 19 10 F6 0D 00 00 EC 2C 0E 2C 0D 00 .. ........,.,..
003280: 00 63 6F EC 00 06 00 AA 2D EA DF FF FF FF FF 11 .co.....-.......
003290: 84 04 22 03 FE 01 55 02 AB 04 E9 0F 08 57 00 07 .."...U......W..
0032A0: 01 00 2C 46 41 43 45 32 34 00 00 00 00 00 00 00 ..,FACE24.......
0032B0: 00 00 00 06 00 00 00 08 70 29 00 94 4A 00 00 00 ........p)..J...
0032C0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
0032D0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
0032E0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
0032F0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003300: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003310: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003320: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003330: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003340: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003350: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003360: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003370: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003380: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003390: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
0033A0: 00 00 00 AF CA FF FF FF FF 11 84 04 22 03 47 02 ............".G.
0033B0: 49 02 93 04 E9 0F 08 31 09 15 08 00 16 C9 00 15 I......1........
0033C0: 00 B4 2D C5 20 2A 2A 2A 2A 20 70 67 63 64 20 2A ..-. **** pgcd *
0033D0: 2A 2A 2A 00 11 00 BE 2D A1 20 0D 00 00 F1 EF 0E ***....-. ......
0033E0: 20 EB 20 C9 00 0B 00 C8 2D 0D 00 00 F2 EF 0F 00 . .....-.......
0033F0: 40 00 D2 2D D6 20 0D 00 00 F2 F2 0E 01 0D 00 00 @..-. ..........
003400: F2 EF 0D 00 00 F0 F5 FF 0C 28 0D 00 00 F0 F7 0D .........(......
003410: 00 00 F1 29 F6 0D 00 00 F1 01 0D 00 00 F0 EF 0D ...)............
003420: 00 00 F1 01 0D 00 00 F1 EF 0D 00 00 F2 01 D5 00 ................
003430: 06 00 DC 2D C9 00 1A 00 E6 2D C5 20 2A 2A 2A 2A ...-.....-. ****
003440: 20 6C 6F 6E 67 75 65 75 72 20 2A 2A 2A 2A 20 00 longueur **** .
003450: 0B 00 F0 2D 0D 00 00 EC EF 0E 00 31 00 FA 2D A1 ...-.......1..-.
003460: 20 0D 00 00 F8 F7 19 0A F0 0F 20 EB 20 0D 00 00 ......... . ...
003470: EC EF 0D 00 00 EC F4 0F 01 0D 00 00 F8 EF 0D 00 ................
003480: 00 F8 F7 19 0A 01 A0 20 1E FA 2D 00 12 00 04 2E ....... ..-.....
003490: 0D 00 00 EC EF 0D 00 00 EC F4 0F 01 C9 00 15 00 ................
0034A0: 0E 2E A9 20 0D 00 00 78 F8 2C 0D 00 00 79 F9 01 ... ...x.,...y..
0034B0: C5 20 00 59 00 18 2E 0D 00 00 F8 EF FF 80 57 00 . .Y..........W.
0034C0: 28 0D 00 00 6E 75 6D E1 29 01 9F 20 1E E6 2D 01 (...num.).. ..-.
0034D0: 0D 00 00 6C EE EF 0D 00 00 EC 01 0D 00 00 F8 EF ...l............
0034E0: 0D 00 00 64 65 6E E1 01 9F 20 1E E6 2D 01 0D 00 ...den... ..-...
0034F0: 00 6C E4 EF 0D 00 00 EC 01 0D 00 00 EC EF FF 76 .l.............v
003500: 28 0D 00 00 6C EE 2C 0D 00 00 6C E4 29 00 16 00 (...l.,...l.)...
003510: 22 2E A1 20 0D 00 00 6E 75 6D E1 EF 0E 20 EB 20 ".. ...num... .
003520: 1E 68 2E 00 39 00 2C 2E A1 20 0D 00 00 6E 75 6D .h..9.,.. ...num
003530: E1 F1 0E 20 EB 20 BF 22 2D 22 3B 01 0D 00 00 78 ... . ."-";....x
003540: F8 EF FF 78 28 23 0E 29 01 0D 00 00 6E 75 6D E1 ...x(#.)....num.
003550: EF FF 00 28 0D 00 00 6E 75 6D E1 29 00 16 00 36 ...(...num.)...6
003560: 2E A1 20 0D 00 00 64 65 6E E1 F2 0F 20 EB 20 1E .. ...den... . .
003570: 5E 2E 00 48 00 40 2E 01 C0 20 49 46 20 6E 75 6D ^..H.@... IF num
003580: 61 3D 2D 31 20 54 48 45 4E 20 4C 4F 43 41 54 45 a=-1 THEN LOCATE
003590: 20 78 78 2C 79 79 3A 50 52 49 4E 54 22 2D 20 78 xx,yy:PRINT"- x
0035A0: 22 3B 3A 78 78 3D 50 4F 53 28 23 30 29 2B 31 3A ";:xx=POS(#0)+1:
0035B0: 47 4F 54 4F 20 36 31 33 30 30 00 3C 00 4A 2E 2D GOTO 61300.<.J.-
0035C0: 75 A1 20 0D 00 00 6E 75 6D E1 EF 0F 20 EB 20 A9 u. ...num... . .
0035D0: 20 0D 00 00 78 F8 2C 0D 00 00 79 F9 01 BF 22 20 ...x.,...y..."
0035E0: 78 22 3B 01 0D 00 00 78 F8 EF FF 78 28 23 0E 29 x";....x...x(#.)
0035F0: F4 0F 01 A0 20 1E 68 2E 00 36 00 54 2E A9 20 0D .... .h..6.T.. .
003600: 00 00 78 F8 2C 0D 00 00 79 F9 01 BF 20 0D 00 00 ..x.,...y... ...
003610: 6E 75 6D E1 3B 22 78 22 3B 01 0D 00 00 78 F8 EF num.;"x";....x..
003620: FF 78 28 23 0E 29 F4 0F 01 A0 20 1E 68 2E 00 52 .x(#.).... .h..R
003630: 00 5E 2E 0D 00 00 6E 75 ED EF 0D 00 00 6E 75 6D .^....nu.....num
003640: E1 01 0D 00 00 64 65 EE EF 0D 00 00 64 65 6E E1 .....de.....den.
003650: 01 9F 20 1E 50 2D 01 20 A9 20 0D 00 00 70 78 B1 .. .P-. . ...px.
003660: 2C 0D 00 00 79 F9 01 BF 22 78 20 22 3B 01 0D 00 ,...y..."x ";...
003670: 00 78 F8 EF FF 78 28 23 0E 29 01 A0 20 1E 68 2E .x...x(#.).. .h.
003680: 00 16 00 68 2E A1 20 0D 00 00 6E 75 6D E2 EF 0E ...h.. ...num...
003690: 20 EB 20 1E EA 2E 00 59 00 72 2E 0D 00 00 F8 EF . ....Y.r......
0036A0: FF 00 28 0D 00 00 6E 75 6D E2 29 01 9F 20 1E E6 ..(...num.).. ..
0036B0: 2D 01 0D 00 00 6C EE EF 0D 00 00 EC 01 0D 00 00 -....l..........
0036C0: F8 30 3F EF 0D 00 00 64 65 6E E2 01 9F 20 1E E6 .0?....den... ..
0036D0: 2D 01 0D 00 00 6C E4 EF 0D 00 00 EC 01 0D 00 00 -....l..........
0036E0: EC EF FF 76 28 0D 00 00 6C EE 2C 0D 00 00 6C E4 ...v(...l.,...l.
0036F0: 29 00 16 00 7C 2E A1 20 0D 00 00 64 65 6E E2 F2 )...|.. ...den..
003700: 0F 20 EB 20 1E CC 2E 00 3E 00 86 2E A1 20 0D 00 . . ....>.... ..
003710: 00 6E 75 6D E2 EF F5 0F 20 EB 20 A9 20 0D 00 00 .num.... . . ...
003720: 78 F8 2C 0D 00 00 79 F9 01 BF 22 2D 20 79 22 3B x.,...y..."- y";
003730: 01 0D 00 00 78 F8 EF FF 78 28 23 0E 29 F4 0F 01 ....x...x(#.)...
003740: A0 20 1E EA 2E 00 49 00 90 2E A1 20 0D 00 00 6E . ....I.... ...n
003750: 75 6D E2 EF 0F 20 FA 20 0D 00 00 6E 75 6D E1 F2 um... . ...num..
003760: 0E 20 EB 20 A9 20 0D 00 00 78 F8 2C 0D 00 00 79 . . . ...x.,...y
003770: F9 01 BF 22 2B 20 79 22 3B 01 0D 00 00 78 F8 EF ..."+ y";....x..
003780: FF 78 28 23 0E 29 F4 0F 01 A0 20 1E EA 2E 00 3C .x(#.).... ....<
003790: 00 9A 2E A1 20 0D 00 00 6E 75 6D E2 EF 0F 20 EB .... ...num... .
0037A0: 20 A9 20 0D 00 00 78 F8 2C 0D 00 00 79 F9 01 BF . ...x.,...y...
0037B0: 22 20 79 22 3B 01 0D 00 00 78 F8 EF FF 78 28 23 " y";....x...x(#
0037C0: 0E 29 F4 47 CA 0F 01 A0 20 1E EA 2E 00 4E 00 A4 .).G.... ....N..
0037D0: 2E A9 20 0D 00 00 78 F8 2C 0D 00 00 79 F9 01 A1 .. ...x.,...y...
0037E0: 20 0D 00 00 6E 75 6D E2 EE 0E 20 FA 20 0D 00 00 ...num... . ...
0037F0: 6E 75 6D E1 F2 0E 20 EB 20 BF 20 22 2B 22 3B 0D num... . . "+";.
003800: 00 00 6E 75 6D E2 3B 22 79 22 3B 01 0D 00 00 78 ..num.;"y";....x
003810: F8 EF FF 78 28 23 0E 29 F4 0F 00 3C 00 AE 2E A1 ...x(#.)...<....
003820: 20 0D 00 00 6E 75 6D E2 EE 0E 20 FA 20 0D 00 00 ...num... . ...
003830: 6E 75 6D E1 EF 0E 20 EB 20 BF 20 0D 00 00 6E 75 num... . . ...nu
003840: 6D E2 3B 22 79 22 3B 01 0D 00 00 78 F8 EF FF 78 m.;"y";....x...x
003850: 28 23 0E 29 F4 0F 00 30 00 B8 2E A1 20 0D 00 00 (#.)...0.... ...
003860: 6E 75 6D E2 F1 0E 20 EB 20 BF 20 0D 00 00 6E 75 num... . . ...nu
003870: 6D E2 3B 22 79 22 3B 01 0D 00 00 78 F8 EF FF 78 m.;"y";....x...x
003880: 28 23 0E 29 F4 0F 00 0A 00 C2 2E A0 20 1E EA 2E (#.)........ ...
003890: 00 31 00 CC 2E A1 20 0D 00 00 6E 75 6D E2 EE 0E .1.... ...num...
0038A0: 20 FA 20 0D 00 00 6E 75 6D E1 F2 0E 20 EB 20 BF . ...num... . .
0038B0: 22 2B 22 3B 01 0D 00 00 78 F8 EF FF 78 28 23 0E "+";....x...x(#.
0038C0: 29 00 37 00 D6 7A CB 2E A1 20 0D 00 00 6E 75 6D ).7..z... ...num
0038D0: E2 F1 0E 20 20 EB 20 BF 22 2D 22 3B 01 0D 00 00 ... . ."-";....
0038E0: 78 F8 EF FF 78 28 23 0E 29 01 0D 00 00 6E 75 6D x...x(#.)....num
0038F0: E2 EF F5 0D 00 00 6E 75 6D E2 00 57 00 E0 2E 0D ......num..W....
003900: 00 00 6E 75 ED EF FF 00 28 0D 00 00 6E 75 6D E2 ..nu....(...num.
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003920: 01 9F 20 1E 50 2D 01 20 A9 20 0D 00 00 70 78 B1 .. .P-. . ...px.
003930: 2C 0D 00 00 79 F9 01 BF 22 79 22 3B 01 0D 00 00 ,...y..."y";....
003940: 78 F8 EF FF 78 28 23 0E 29 F4 0F 01 A0 20 1E EA x...x(#.).... ..
003950: 2E 00 14 00 EA 2E A1 20 0D 00 00 6E 75 6D E3 EF ....... ...num..
003960: 0E 20 EB 20 C9 00 59 00 F4 2E 0D 00 00 F8 EF FF . . ..Y.........
003970: 00 28 0D 00 00 6E 75 6D E3 29 01 9F 20 1E E6 2D .(...num.).. ..-
003980: 01 0D 00 00 6C EE EF 0D 00 00 EC 01 0D 00 00 F8 ....l...........
003990: EF 0D 00 00 64 65 6E E3 01 9F 20 1E E6 2D 01 0D ....den... ..-..
0039A0: 00 00 6C E4 EF 0D 00 00 EC 01 0D 00 00 EC EF FF ..l.............
0039B0: 76 28 0D 00 00 6C EE 2C 0D 00 00 6C E4 29 00 16 v(...l.,...l.)..
0039C0: 00 FE 2E A1 20 0D 00 0D B7 00 64 65 6E E3 F2 0F .... .....den...
0039D0: 20 EB 20 1E 26 2F 00 3F 00 08 2F A9 20 0D 00 00 . .&/.?../. ...
0039E0: 78 F8 2C 0D 00 00 79 F9 01 A1 20 0D 00 00 6E 75 x.,...y... ...nu
0039F0: 6D E3 EE 0E 20 EB 20 BF 22 2B 22 3B 0D 00 00 6E m... . ."+";...n
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003A10: 29 F4 0F 01 C9 00 33 00 12 2F A1 20 0D 00 00 6E ).....3../. ...n
003A20: 75 6D E3 F1 0E 20 EB 20 BF 20 22 2D 22 3B F5 0D um... . . "-";..
003A30: 00 00 6E 75 6D E3 3B 01 0D 00 00 78 F8 EF FF 78 ..num.;....x...x
003A40: 28 23 0E 29 F4 0F 01 C9 00 14 00 1C 2F A1 20 0D (#.)......../. .
003A50: 00 00 6E 75 6D E3 EF 0E 20 EB 20 C9 00 4E 00 26 ..num... . ..N.&
003A60: 2F A1 20 0D 00 00 6E 75 6D E3 EE 0E 20 EB 20 BF /. ...num... . .
003A70: 22 20 2B 22 3B 01 0D 00 00 78 F8 EF FF 78 28 23 " +";....x...x(#
003A80: 0E 29 01 01 97 20 BF 22 20 2D 22 3B 01 0D 00 00 .)... ." -";....
003A90: 78 F8 EF FF 78 28 23 0E 29 01 0D 00 00 6E 75 6D x...x(#.)....num
003AA0: E3 EF F5 0D 00 00 6E 75 6D E3 00 3B 00 30 2F 0D ......num..;.0/.
003AB0: 00 00 6E 75 ED EF FF 00 28 0D 00 00 6E 75 6D E3 ..nu....(...num.
003AC0: 29 01 0D 00 00 64 65 EE EF F7 8E 0D 00 00 64 65 )....de.......de
003AD0: 6E E3 01 9F 20 1E 50 2D 01 0D 00 00 78 F8 EF 0D n... .P-....x...
003AE0: 00 00 70 78 B1 01 C9 00 0D 00 20 4E 01 C0 63 6F ..px...... N..co
003AF0: 75 72 62 65 00 08 00 21 4E AD 20 0F 00 0A 00 22 urbe...!N. ...."
003B00: 4E 9F 20 1E 9E 07 00 12 00 2A 4E A2 20 10 2C 19 N. ......*N. .,.
003B10: 0F 01 A2 20 11 2C 19 18 00 0E 00 34 4E B2 20 9C ... .,.....4N. .
003B20: 20 A0 20 1E 66 4E 00 17 00 3E 4E 9E 20 0D 00 00 . .fN...>N. ...
003B30: E9 EF 0E 20 EC 20 0D 00 00 6A B0 F5 0F 00 34 00 ... . ...j....4.
003B40: 48 4E BC 20 0D 00 00 69 B1 F4 0D 00 00 69 6D F0 HN. ...i.....im.
003B50: 28 0D 00 00 E9 29 F5 0D 00 00 78 B0 2C 0D 00 00 (....)....x.,...
003B60: E1 28 0D 00 00 69 6D F0 28 0D 00 00 E9 29 29 2C .(...im.(....)),
003B70: 10 00 06 00 52 4E B0 00 0A 00 5C 4E A0 20 1E 84 ....RN....\N. ..
003B80: 4E 00 23 00 66 4E 20 A1 20 FF 41 EF 13 20 FC 20 N.#.fN . .A.. .
003B90: FF 41 EF 14 20 FC 20 FF 41 EF 19 0B 20 EB 20 C8 .A.. . .A... . .
003BA0: 20 1E 52 4E 00 1C 00 70 4E A1 20 FF 41 EF 10 20 .RN...pN. .A..
003BB0: FC 20 FF 41 EF 19 16 20 20 EB 20 C8 20 1E 66 08 . .A... . . .f.
003BC0: 00 14 00 7A 4E A1 20 E3 EF 1E 48 69 D8 FF FF FF ...zN. ...Hi....
003BD0: FF 11 84 04 22 03 FE 01 57 02 AF 04 EB 0F 08 55 ...."...W......U
003BE0: 00 07 01 00 2C 46 41 43 45 32 34 00 00 00 00 00 ....,FACE24.....
003BF0: 00 00 00 00 00 07 00 00 00 08 70 31 00 94 4A 00 ..........p1..J.
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003C10: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003C20: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003C30: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003C40: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003C50: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003C60: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003C70: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003C80: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003C90: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003CA0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003CB0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003CC0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003CD0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
003CE0: 00 00 00 00 00 FE 55 FF FF FF FF 11 84 04 22 03 ......U.......".
003CF0: FE 01 4A 02 95 04 F2 0F 08 34 09 15 08 00 16 4E ..J......4.....N
003D00: 20 EB 20 C8 20 1E 52 4E 00 06 00 84 4E C9 00 1D . . .RN....N...
003D10: 00 30 75 C5 20 2A 2A 2A 2A 20 74 72 61 63 65 20 .0u. **** trace
003D20: 64 65 20 79 3D 78 20 2A 2A 2A 2A 00 2C 00 3A 75 de y=x ****.,.:u
003D30: BC 20 F5 0D 00 00 78 B0 2C F5 0D 00 00 78 B0 2C . ....x.,....x.,
003D40: 0F 01 94 20 1A 7F 02 F5 0D 00 00 78 B0 2C 1A 7F ... .......x.,..
003D50: 02 F5 0D 00 00 78 B0 00 26 00 44 75 D0 01 BC 20 .....x..&.Du...
003D60: 1A 86 01 F5 0D 00 00 79 B0 2C 1A 86 01 F5 0D 00 .......y.,......
003D70: 00 79 B0 01 BF 22 79 3D 78 22 3B 01 D1 00 06 00 .y..."y=x";.....
003D80: 4E 75 C9 00 0C 00 40 9C 01 C0 69 6D 61 67 65 00 Nu....@...image.
003D90: 0E 00 54 9C B2 20 9C 20 A0 20 1E 86 9C 00 17 00 ..T.. . . ......
003DA0: 5E 9C 9E 20 0D 00 00 E9 EF 0E 20 EC 20 0D 00 00 ^.. ...... . ...
003DB0: 6A B0 F5 0F 00 34 00 68 9C BC 20 0D 00 00 E1 28 j....4.h.. ....(
003DC0: 0D 00 00 69 6D F0 28 0D 00 00 E9 29 29 2C 0D 00 ...im.(....)),..
003DD0: 00 69 B1 F4 0D 00 00 69 6D F0 28 0D 00 00 E9 29 .i.....im.(....)
003DE0: F5 0D 00 00 78 B0 2C 11 00 06 00 72 9C B0 00 0A ....x.,....r....
003DF0: 00 77 9C A0 20 1E A4 9C 00 23 00 86 9C 20 A1 7A .w.. ....#... .z
003E00: 5A 20 FF 41 EF 13 20 FC 20 FF 41 EF 14 20 FC 20 Z .A.. . .A.. .
003E10: FF 41 EF 19 0B 20 EB 20 C8 20 1E 72 9C 00 1C 00 .A... . . .r....
003E20: 90 9C A1 20 FF 41 EF 10 20 FC 20 FF 41 EF 19 16 ... .A.. . .A...
003E30: 20 20 EB 20 C8 20 1E 66 08 00 0A 00 9A 9C C8 20 . . .f.......
003E40: 1E 72 9C 00 06 00 A4 9C C9 00 12 00 50 C3 01 C0 .r..........P...
003E50: 74 6F 75 74 20 72 65 76 6F 69 72 00 0A 00 5A C3 tout revoir...Z.
003E60: 9F 20 1E 20 4E 00 0A 00 64 C3 9F 20 1E 40 9C 00 . . N...d.. .@..
003E70: 0A 00 6E C3 A0 20 1E AE 29 00 08 00 20 CB 8A 01 ..n.. ..)... ...
003E80: 86 00 0C 00 25 CB B3 20 9F 20 1E 00 FA 00 0E 00 ....%.. . ......
003E90: 26 CB B2 20 9C 20 A0 20 1E 0A FA 00 20 00 2A CB &.. . . .... .*.
003EA0: A2 20 0E 2C 19 0D 01 A2 20 0F 2C 19 0D 01 A2 20 . .,.... .,....
003EB0: 10 2C 19 0D 01 A2 20 11 2C 19 0D 00 18 00 34 CB .,.... .,.....4.
003EC0: D8 23 0F 2C 0F 2C 19 0F 2C 12 2C 19 14 01 BA 23 .#.,.,..,.,....#
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005B00: 20 20 20 20 20 20 20 20 20 20 20 20 20 46 49 4E FIN
005B10: 20 44 4F 43 55 4D 45 4E 54 41 54 49 4F 4E 00 15 DOCUMENTATION..
005B20: 00 D8 D1 8C 20 2C 2C 2C 2C 2C 2C 2C 2C 2C 2C 2C .... ,,,,,,,,,,,
005B30: 2C 2C 2C 00 06 00 E2 D1 C9 00 11 00 EC D1 A1 20 ,,,............
005B40: FF 41 EF 12 20 C8 20 1E 03 00 00 06 00 00 FA C9 .A.. . .........
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005BB0: 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ................
005BC0: 00 00 00 00 00 00 00 00 00 3A 61 FF FF FF FF .........:a....
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, ,x.A 8, ,, , , ,F ,"ENTER"P C( )d , , , ,f ix ' ,"DEFINITION DE LA FONCTION"
, (,"")2 ,"N.BLA VARIABLE EST " "x"" introduction de la fonction ,"f(x)"" ,(
) ",,o,O,, lon"""" ( ) (C) "" 0 (() ( ) "" " (,) "" 0 (9) (A) "" L () (
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O370 def fn f(x)"( )"pen 1clsgoto 370"( )" ",,,/, ,"Est-ce la bonne fonction (
O/N)"6"" "O" "N"J(C)TG "N" , () , () K! h r ( ) " ,( ) ",,o,O, ! ,"
INTERVALLE D'ETUDE" , (,"") 4 , "La fonction est representee pour x"% ,"element
de (a,b) avec "0 ,"a " x(#) (#) fau i() i1 i- i i fau 0 , "b "
x(#) (#) fau i"VW,FACE24pJU"L3() i2 i! I FAU + i i , () & ,"VOUS
CONFIRMEZ (O/N)" (C) "" "O" "N" ( "N" , () N choix du repereX b , ,
,l v , ,"choix du repere" ,J, ,J, ,e, ,e, ,J, J,, v,, v,, J,, J,,+ J,,j T,,
, "(0,0)"0 v,, l,, ,"(639,399)"- v,, l,, !, "(639,0)". J,, T,, ,"(0,399)" ,"EC
RAN" ,"Origine" " (par rapport a l'Tecran)" !,, ,, ,"abscisse" x(#) (#)
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(- trai trai92- 8x, y ,, col xG yH 8,$- trai trai 8,NF- x, y ,, col xG yH
trai trai 8,(P- **** ecriture d'une fraction ****JZ- ( de NU) x, y nur pxx
(#) -Id- ( l) nu p x( l) -In- ( l) nu p x( l) -dx- ( l)
nu p x( l) p x( #el),- p, y nu pxx(#)W- ( l) p x( l) p x( l)
7- p, y de pxv( px,x(#))8- ( px),( y) ,, co-"UW,FACE24p)J"GI1- **** pgcd ****
- - - ( ) -- **** longueur **** - 1- -. . x, y Y. W( num)
- l den - l v( l, l)". num h.9,. num "-" xx(#) num( num)6. den .H. IF
numa-1 THEN LOCATE xx,yyPRINT"- x"xxPOS(#0)+1GOTO 61300J.-u num x, y" x" xx(
#) h.6T. x, y num"x" xx(#) h.R. nu num de den P- px, y"x " xx(#) h.h. num
.Yr. ( num) - l 0 den - l v( l, l). den .. num x, y"- y" xx(#) .I. num
num x, y"+ y" xx(#) .. num x, y" y" xx(#)G .N. x, y num num "+" n
um"y" xx(#). num num num"y" xx(#)0. num num"y" xx(#) . .1. num num
"+" xx(#)7z. num "-" xx(#) num numW. nu( num) de den P- px, y"y" xx(#) ..
num Y. ( num) - l den - l v( l, l). den &// x, y num "+" num xx(#)3/
num "-" num xx(#)/ num N&/ num " +" xx(#) " -" xx(#) num num0/ nu( num) d
e den P- x px Ncourbe!N "N *N , ,4N fNN j4HN i im( ) x, ( im( )),RN N N
#fN A A A RNpN A A fzN Hi"WU,FACE24p1JU"J4N RNN0u **** trace de yx **
**,u x, x, x, x&Du y, y"yx"NuimageT j4h ( im( )), i im( ) x,r w # zZ
A A A r A A f rPtout revoir Z N d n ) % & * , , , , 4#,,,,#,#
,,(,,#,H R , , , , f &p , "1- LISTER DOCUMENTATION"&z , "2- FONCTION RECIPROQU
E"' , "3- QUITTER LE PROGRAMME" , "NUMERO -- "C "" " "1" "3" w () ,, ,
, , / "SUR ECRAN OU SUR IMPRIMANTE (E ou I) "C "" () "I" "E" V ()$
z. ( ) 8 B#, ( )LV ()jt ( ) ( )4 , "APPUYER SUR UNE TOUCHE POUR LA SUIT
E" RC R"" jt(( ),"$") (( ),,)" " t(( ),"%") (( ),,)"," N $ Le l
ogiciel 'MATHS-SECOND-CYCLE' s'adresse aux eleves de la classeK( de sAeconde a c
elles de terminales et se compose de 4 sujets et de la2 documentation.% Il trait
e des themes suivants9F $ - resolution des equations du second degre*P $
- courbes d'equation yf(x)Z $ - integrales (avec i"nterpretation grap
hique)#d $ - suites recurrentes%n $ - courbes reciproquesx $ 1- LA
NCEMENT DU PROGRAMME $( - introduire la disquette face 1 - faire RUN "DISC"N Le
programme lance un menu et vous pouve "VW,FACE24p9J "E.z selectionner le sujet
traite.F - pour arreter le programme %faire un reset (control%shift%esc)G - pour
avancer dans le programme %appuyer sur enter (cpc6128) ou sur petit enter (cpc
464).5 - repondre O ou N aux questions de validationH-.M - pour definir une fonc
tion %faire tres attention a ne pas modifier le6 numero de ligne et valider par
le petit enter." - pour le choix d'un repere' abscisse comprise entre 0 et 639'
ordonnee comprise entre 0 et 399+ unite$s comprises entre 0.0001 et n L - un c
hangement de repere permettra d'affiner la representation de la5" fonction ou de
detailler aux points critiques.V, - pour definir les fonctions% utiliser les op
erateurs + - * / abs exp log ...6 $ $#J 2- EQUATIONS DU SECOND DEGRET $( Le suj
et se compose de 2 partiesh 1-1 rappel de la methode avec interpretation graphi
que"r 1-2 resolution d'equations0 3 choix - resoudre l'equation $
- un cporrige, $ - l'eleve donne sa solution $ EXEMPLES& x2 0
a1 b0 c0& x2 + 1 0 a1 b0 c1( x2 +2*x -240 a1 b2 c-242 -5
*x +3*x -90 a-5 b3 c-9 etc... $ $A 3- COURBES YF(X) $L Le programme sur
les courbes %outre la visualisation indispensable deG la fonction &peut servir a
ux chapitres 'LIMITES D'1 FONCTION' etL 'DERIVATION'.Il permet d'etudier la cont
inuite ou non d'une fonction.l PROCEDURE A SUIVRE"& - definition de la fonction0
- choix du repere6 - choix des couleurs apres le calcul des pointsJD - appuyer
sur une touche quelconque pour continuer avec choix entreRN revoir la courbe %ch
anger de repere % cmhanger de fonction ou sauver l'imageX $b EXEMPLES/l 1- f(x)s
in(x)+1/2*sin(2*x)+1/3*sin(3*x)Lv etude de l'allure generale et imparite dans le
repere (320 200 2.5 4)K etude de la periodicite
(10 200 1 "VT,FACE24pAJGG,4) $ 2- f(x)(x-1)+1/(abs(x)+1) repere (320 200 3
3) 3- f(x)(exp(2*x)-exp(x))/sin(x) repere (320 10 10 10) 4- f(x)sin(2*x)/(1+sin
(x)) repere (320 200 1 1) $E le cpc464 calcule mal certaines puissances c
omme 3j(-1)1 (-2)22 qu'il met egal a 1 et 2 au lieu de -1 et -2 $ $ 4- INTEGRALE
S $ Le programme "INTEGRALES" est compose de 3 partiesE 4-1 rappel de la methode
(basee sur la methode des rectangles)I 4-2 calculs de la valeur approchee suiva
nt le nombre de rectangles0 4-3 calculs avec representation graphique $* EXEMPL
ESD4 1- avec a-2 b2 de f(x)sin(x2) repere (320 200 4 6)D 2- avec a0 b3 d
e f(x)1/(sqr(x4 +1)) repere (320 50 3 10)FH 3- AVEC a0 b1 de f(x)exp(-(x2))
repere (100 10 15 12) CR 4- avec a0.1 b0.8 de f(x)-1/log(x) repere (10 10 20
2) $f $p 5- SUITES RECURRENTESz $A Le programme 'SUITES RECURRENTES' se compose
de 2 parties6 1- Etude de Un+1f(Un) avec rappel de la methode sur la suite Un+1
cos(Un) Uo1L Il est possible d'etudier la convergence ou la divergence d'une sui
te donnee en fonction du premier terme ou de la parite de n. $2 2- EtudeV de aUn
+2 + bUn+1 + cUn0 avec ac#0B On y retrouve la notion de base d'espaces vectoriel
s reels. $ EXEMPLES 1- Un+1(3/2)*(1-Un) suite convergente avec Uo0.5 reper
e (10 10 23 14) suite divergente avec Uo2 G repere (500 350 2 0.5)D 2- U
n+1(4*Un -1)/(Un +2) avec Uo-0.25 repere (320 150 1 1) 3- Un+1(Un -2)/Un ave
c Uo0.25 repere (320 200 1 1) 4- Un+1(1/2)*(Un +2/Un) avec Uo0.5 repere (10 10
5 4)$ 5- Un+1(3/2)*Un*(1-Un) avec Uo0.9 repere (10 10 20 20). $8 COURBES RECIPR
OQUESNB - cette option permet d'obtenir le trace de courbes comme ARCSIN ARCCOSZ
L - pour cela , prendre la fonction SIN ou COS en choisissant un intervalle appr
oprieV $ REMARQUESKh"GVX,FACE24 pIJOi"JXj - il peut arriver que pour certaines f
onctions f %il n'existe aucune7t suite verifiant Un+1f(Un) ex LOG(Un) avec Uo0/
- le cpc ne resout pas toutes les suitesG ex Un2*Un/(Un -1) avec Uo-0.2 U11/
3 et le cpc prend 0.3333+ - le cpc est parfois en debordement - ex Un2*Un +1 a
vec Uo0 avec n127 $P Si vous etes interesses par des fonctions plus complexes
comme des tracesM d'HYPERBOLE , les courbes de LISSAJOUS ou des problemes de CIN
EMATIQUE vous po%uvez contacter la SOCIETE MICRO-C a RENNES 35( $
FIN DOCUMENTATION ,,,,,,,,,,,,,, A a