Maths-Second-Cycle 2 (F) (Face 4) (1987) [Original] [TAPE] [EDUCATIF].cdt
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000000:  5A 58 54 61 70 65 21 1A 01 0C 20 8D 0C 11 86 04    ZXTape!... .....
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0002A0:  19 0D 01 BF 22 50 52 45 4D 49 45 52 45 22 00 19    ...."PREMIERE"..
0002B0:  00 04 01 A9 20 19 1E 2C 19 10 01 BF 22 54 45 52    .... ..,...."TER
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000660:  2D 00 32 00 BB 20 11 01 A9 20 14 2C 19 0C 01 BF    -.2.. ... .,....
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0006B0:  66 20 65 73 74 20 62 69 6A 65 63 74 69 76 65 20    f est bijective 
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002D40:  E1 EF 22 2D 22 20 FA 20 0D 00 00 74 6F 75 F2 EF    .."-" . ...tou..
002D50:  0E 20 EB 20 0D 00 00 6D 6F 69 6E F3 EF 0F 01 03    . . ...moin.....
002D60:  00 00 E2 EF 03 00 00 E1 01 A0 20 1E F6 2C 00 21    .......... ..,.!
002D70:  00 A6 2C A1 20 03 00 00 E1 EF 22 2D 22 20 FA F0    ..,. ....."-" ..
002D80:  D1 20 0D 00 00 74 6F 75 F2 EF 0F 20 EB 20 1E 38    . ...tou... . .8
002D90:  2C 00 20 00 B0 2C A1 20 03 00 00 E1 EF FF 03 28    ,. ..,. .......(
002DA0:  19 F2 29 20 EB 20 0D 00 00 66 61 75 F8 EF 0F 01    ..) . ...fau....
002DB0:  C9 00 25 00 BA 2C A1 20 03 00 00 E1 EF FF 03 28    ..%..,. .......(
002DC0:  19 F3 29 20 FA 20 0D 00 00 74 72 61 69 F4 EF 0E    ..) . ...trai...
002DD0:  20 EB 20 1E 38 2C 00 9B 00 C4 2C A1 20 03 00 00     . .8,....,. ...
002DE0:  E1 EF FF 03 28 19 F3 29 20 FA 20 03 00 00 E2 EF    ....(..) . .....
002DF0:  22 22 20 EB 20 0D 00 00 62 6C 61 6E E3 EF 0D 00    "" . ...blan....
002E00:  00 62 6C 61 6E E3 F4 0F 01 A1 20 0D 00 00 62 6C    .blan..... ...bl
002E10:  61 6E E3 EF 0D 00 00 74 72 6F F0 F5 0F 20 EB 20    an.....tro... . 
002E20:  0D 00 00 62 6C 61 6E E3 EF 0E 01 0D 00 00 66 61    ...blan.......fa
002E30:  75 F8 EF 0F 01 C9 01 01 97 20 A9 20 0D 00 00 F8    u........ . ....
002E40:  2C 0D 00 00 F9 01 BF 22 20 22 01 0D 00 00 F8 EF    ,......" "......
002E50:  0D 00 00 F8 F4 0F 01 A9 20 0D 00 00 F8 2C 0D 00    ........ ....,..
002E60:  00 F9 01 BF 20 FF 03 28 19 8F 29 01 A0 20 1E 38    .... ..(..).. .8
002E70:  2C 00 13 00 CE 2C 9E 20 0D 00 00 E9 EF 19 30 20    ,....,. ......0 
002E80:  EC 37 EF 20 19 39 00 30 00 D8 2C A1 20 03 00 00    .7. .9.0..,. ...
002E90:  E1 EF FF 03 28 0D 00 00 E9 29 20 20 EB 20 03 00    ....(....)  . ..
002EA0:  00 E2 EF 03 00 00 E2 F4 03 00 00 E1 01 0D 00 00    ................
002EB0:  74 6F 75 F2 EF 0F 00 06 00 E2 2C B0 00 25 00 EC    tou.......,..%..
002EC0:  2C A1 20 FF 0E 28 03 00 00 E2 29 EF 0D 00 00 6C    ,. ..(....)....l
002ED0:  6F 6E E7 20 EB 20 0D 00 00 66 61 75 F8 EF 0F 01    on. . ...fau....
002EE0:  C9 00 32 00 F6 2C A9 20 23 0E 2C 0D 00 00 F8 2C    ..2..,. #.,....,
002EF0:  0D 00 00 F9 01 BF 20 03 00 00 E2 3B 01 0D 00 00    ...... ....;....
002F00:  70 F8 EF FF 76 28 0D 00 00 70 F8 2C FF 78 28 23    p...v(...p.,.x(#
002F10:  0E 29 29 00 0A 00 00 2D A0 20 1E 38 2C 00 20 00    .))....-. .8,. .
002F20:  0A 2D 20 A9 20 23 0E 2C 0D 00 00 F8 2C 0D 00 00    .- . #.,....,...
002F30:  F9 01 BF 20 FF 03 28 1C 12 00 29 01 C9 00 07 00    ... ..(...).....
002F40:  14 2D 01 C0 00 1D 00 1E 2D A1 20 0D 00 00 74 72    .-......-. ...tr
002F50:  61 69 F4 F0 0D 00 00 74 72 6F F0 20 EB 20 1E 38    ai.....tro. . .8
002F60:  2C 00 18 00 28 2D 0D 00 00 74 72 61 69 F4 EF 0D    ,...(-...trai...
002F70:  00 00 74 72 61 69 F4 F4 0F 00 39 00 32 2D AE 20    ..trai....9.2-. 
002F80:  0D 00 00 83 38 78 E7 2C 0D 00 00 79 E7 01 95 20    ....8x.,...y... 
002F90:  19 10 2C 0E 2C 0D 00 00 63 6F 6C B1 01 0D 00 00    ..,.,...col.....
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.
003910:  29 01 0D 00 00 64 65 EE EF 0D 00 00 64 65 6E E2    )....de.....den.
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
003A00:  75 6D E3 3B 01 0D 00 00 78 F8 EF FF 78 28 23 0E    um.;....x...x(#.
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.(....)),
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005A60:  65 20 64 65 73 20 74 72 61 63 65 73 00 4D 00 BA    e des traces.M..
005A70:  D1 8C 20 64 27 48 59 50 45 52 42 4F 4C 45 20 2C    .. d'HYPERBOLE ,
005A80:  20 6C 65 73 20 63 6F 75 72 62 65 73 20 64 65 20     les courbes de 
005A90:  4C 49 53 53 41 4A 4F 55 53 20 6F 75 20 64 65 73    LISSAJOUS ou des
005AA0:  20 70 72 6F 62 6C 65 6D 65 73 20 64 65 20 43 49     problemes de CI
005AB0:  4E 45 4D 41 54 49 51 55 45 00 3B 00 C4 D1 8C 20    NEMATIQUE.;.... 
005AC0:  76 6F 75 73 20 70 6F 25 5D 75 76 65 7A 20 63 6F    vous po%]uvez co
005AD0:  6E 74 61 63 74 65 72 20 6C 61 20 53 4F 43 49 45    ntacter la SOCIE
005AE0:  54 45 20 4D 49 43 52 4F 2D 43 20 61 20 52 45 4E    TE MICRO-C a REN
005AF0:  4E 45 53 20 33 35 00 28 00 CE D1 8C 20 24 20 20    NES 35.(.... $  
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.. . .........
005B50:  00 0A 00 0A FA A0 20 1E 03 00 00 00 00 00 00 00    ...... .........
005B60:  00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00    ................
005B70:  00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00    ................
005B80:  00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00    ................
005B90:  00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00    ................
005BA0:  00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00    ................
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....
RESULT OF SEARCH :
PRO=15   CHEA=0   COD=0   MUSI=0   COP=0   GRA=15   WRIT=0   198=0   199=0   STARTER=0   KBI=0   CAAV=0   L.TOURNIER=0  
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UIO" #,,#,"A.COLLIN"6  , "MATHS 2"()"nd"( )N"CYCLE"         T,P0  ,,  ,  , "PREM
IERE" ,"TERMINALE"5     , ,, ,, ,,5     6 ,, ,, ,,5"      ,, ,, ,,8,      2 ,, ,
 , d,86       ,, , , d, , , , ,  J "!" "WW,FACE24pJ8"L5            (), im()   , 
, , , ,   - , "REPRESENTATION GRAPHIQUE DE"( ,  "y  f(x)   et  y  f"()"-1"( )"(x
)"-2  ,"DA3NS UN REPERE ORTHONORME" E7  ,  () " f est bijective "  () . , ,, ,x 
, ,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 ()  (
)  ()  ()  Q"" 0 (z)  ()  "" * ()   lon( )* ()   lon( ) , 2  lon  ""   , () E ,"
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(#) (#)   
  fau    * x()64 ()   x   x      H  ,"ordonnee" R x(#) (#)  f  fau    Hp z y()6 
()   y   y    H + ,"Unites  " "(en cm)"  !,N, ,N,      fau      uni()$  uni     
9  uni x   , ()  K LO(( I2 I1) UNI)  LO   FAU  uni uni8  B $L  xj.       ($V  y,
       +  , "CE REPERE CONVIENT-IL "jC ""  jt() "O"   "N"  X  j i uni i1 x i uni
 iL2 x 3 ,"CALCULS DES 'POINTS' DES COURBES ..." , ,   I      i i) ( i  x)( uni)
O    ( ) ( )  uni im( ) "XT,FACE24pJ"GL/  FG   H j   M#I  A  A  A   FJ A  A    f
LMP  N 0u Z+  s   ".c-p", ,, " ,"Suite  S","  (C)"S"  ,6 ,"          " INK 3,15I
NK 1,26E SJ0T ,  ()"1"()"REVOIR .."/ , ()"2"()"AUTRE REPERE"1h , ()"3"()"AUTRE F
ONCTION"*o , ()"4"()"QUITTER"rC ""  r) "1"    N 0u  1 "2"   i ii i ii N8 "3"   ,
 , , ,  d "4"     rC ""  n()# "o"   chan N  "n"    "". tou fau poin moinC ""  D 
("."  "-"  "-.")  ( )   fau ( ) B " "-"   poin  8 "-"   tou   moin v! "-"   tou 
 & "."   poin   poin"." v"0 "."   poin    ()   fauDd  0  90N ( )    touXb  tou  
  l ()   fauv  ,    trace du repere   , ,    x,,  x,,  , y, , y,  x, y(  uni,,  
uni,,)  uni,,  uni,,( , uni, , uni,) , uni, , uni, t( x( uni)) t f(( x)( uni)) t
( y( uni)) t(( y)( uni))(   t   t    *1    uni,,   uni,,*(4   t   t    H1 ,  uni
,GUS,FACE24pJ"K3 ,  uni,HR!   ,   ()f , , , ,p  ()z    , , u, , u,,  ,,  , ,4 ,,
 ,, ,, ,, ,,. ,"VOUS AVgEZ SANS DOUTE MAL DEFINIE" ,"LA FONCTION f"3 ,"Je vous r
envoie a la definition de f"  ,"ENTER" C( )   d A  f A  % ,  "NOM DE SAUVEGARDE 
" I$S""""  I,  SC S""    S( )    S"."   ) ()   , ()  s-S  I,  I I  I  #    S(  I
M   op    N   IM    N   IM    P +* **** ECRITURE x,yx2x trop,long***** x  x y + 
,O+  fau   (""   trai)    x  - p  + A+  trai  "-"    -  x p  + . +  trai   nu() 
de*+   x xF4+  ,  () fau"" moin tou 8,J+  fau  "-" 9 ""    -  x p  4+ H+ nu()R+ 
   xF+  ,  ()"" fau moin tou 8,Jf+  fau  "-"  ""    -  x p  + p+ de()z+  de    -
 ++ %+ **** longueur de la barre ****+ trai""+  ,( )+ ( )+C+ fint5+ ()"D"  ( tra
i   trai)  ++ ()"D"    x, y ,, col xG yH trai trai +L+ " "   ,, col xG yH trai t
rai +5+ ()   fau trai( )+ ( )  +4+ ( )   trai tro  "GXY,FACE24p!JeGJ2( ) ,, ,  ,
  () $, trai p A., tou fau moin blan fint""8,C ""  8,B, ()"D"  -6L, " "   tou   
fint   fau"V, " "   trai  -, " "  "-"   ( ),( ) ,, col xG yH trai   x   moin +qj
, " "    , " " ( ),( ) ,, col xG yH trai +t, "."  8,, ( )  E, "-"   trai   tou  
 moin ,!, "-"   deu  8,8, "-"   tou   moin ,!, "-"   tou  8, , ()   fau%, ()   t
rai  8,, ()  ""   blan blan  blan tro   blan fau   , " "    ,  () 8,,  0 7 90, (
 )    tou,%, () lon   fau2, #, ,   pv( p,x(#)) - 8,  -  #, ,  ()--  trai tro  8,
(- trai trai92-  8x, y ,, col xG yH 8,$-  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
Tous droits réservés. Reproduction sans autorisation interdite. © Kukulcan