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RESULT OF SEARCH :
PRO=13 CHEA=0 COD=0 MUSI=0 COP=0 GRA=22 WRIT=0 198=0 199=0 STARTER=0 KBI=0 CAAV=0 L.TOURNIER=0
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VS,ORTHO1p zUfS , , , , , , h,( ' ,( ' ,( $'0 ,( 'D ,( .'X ,r 8'b 7,r B'l P,r L
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, , , PA , , , , , , , , a/' , , , , , M6' , , , , , , E$' , , , , , , , G#.
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X,ORTHOREPpLVkS P& *******************************& ******** Frank Megel ***
*******& ******** presente **********&( ******** **********&2 ***
** REPERE ORTHONORME ******& *******************************F&P *5******** REMA
RQUES ***********&Z ** SHIFT+ CROCHET GAUCHE **&d ** SHIFT+ CROCHET DROIT *
*&n ** CROCHET DROIT **&x ** CTRL+ H **& *************
******************E (d), (d), (d),(), (d), (d), (d) B,, , , "R E P E R E" $
,. "O R T H O N O R M E"8 ,,B ,L "R POUR REGLES"V , ,, "D POUR DEBUTuER"j
,%t , "PAR FRANK MEGELC "" S S ,( S) S S ( ()"R" , *N ()"D"
5 **********************S*********************** ,,,,$,H,% ,,,,,,,% ,,,,,,,
(( . pn8()"O"" #,,,, #, #,, ********************************5*****,**********
DEBUT DES OPTIONS *********, ************************************* ------- POINT
------- £ #,"Un point (O/N)"O -- Le signe avant "UN" se tappe en appuyant simul
tanement sur (CTRL) & L ()"O" pn pn£ #,"Nom "," () "0" ( pn)u(,)M valeu
pn ( )( pn) valeuY valeu #,"Le point " ( pn)"l est ""deja repertorie"
' (£ #,"Abscisse ", ( pn) ( ( pn)) (2£ #,"Ordonnee ", ( pn) ( ( pn)) (#£ #,"C
onfirmation (O/N)"F ()"O" ,P ( pn), ( EU,ORTHOREPpLWhS pn), Z ,*d ( pn), ( pn
)n ,x , ( pn) " ---------- DROITE ---------)£ #,"Tracer une droite (O/N)" ()"
O" '& V v ' *C co co( co)"A"( p)( p) " --------- SEGMENT ---------)£
#,"Tracer un segment (O/N)" ()"O" ", ' V V ' 0*C co co( co)"B"( p)(
p) ( ---------- DEMI-DROITE ----------0"£ #,"Tracer une demi-droite (O/N)" , (
)"O" 6 .6£ #,"Origine de la demi-droite ",d£ #,"2em POINT ",BdJ vT v '&h v
v ' " r D*C co co( co)"C"( p)( p) "3 ------ TROUVER UNE EQUATION DE DROITE --
----£ #,"Determiner une equation de droite(O/N)" jh" ()"O" # ----- DR
OITE (xy) -----)£ #,"Avec 2 points (O/N)" ()"O" l '3 ( V v) jh '
3 ( V v) jh ' '3 w "" "+"l( )& y"" y"+"&gy( )(0f( q)"x"g"y"l
ky XD #,"Equation de ""("dd")"""f" 0"N C""X2b ------------- VECTEUR + POINT
------------3l£ #,"Avec un point et un vecteur (O/N)""v ()"O" % #,"Solutio
n "f ' n2 --------- POSITION DE 2 DROITES ----------6£ #,"Position rel
ative de 2 droites (O/N)" ()"O" #,"1ere droite" jh ky ' vd q vd ptsW,O
RTHOREPpLlYgT dptd j p #,"2eme droite" * ' 4 E vda q vdb ptdptd h pHz"("ptpt")"
z"("ptpt")""M p h p j 'R #dK vda vd vdb vd vda vdb q #,z" "z Ef vda vd v
db vd #,z" "z Dp vda vd vdb vd #,z" "z z #,z" coupe D"z ' ----------- RE
PRESENTATION D'UNE EQUATION -------------M ky£ #,"Representation graphique d'
une equation (O/N)" ()"O" j #,"ax + by + c 0"£ #,"a", £ #,"b", H£ #,"c",
#,"c est trop grand" '# B #,"Erreur (a0 donc b0)" ' ) co co( co)"D
"( )( )( ) ( co) ( co) ( co) ***********************************************
********4£ #,"Coordonnees du vecteur ", v, v+£ #,"Abscisse du point ",
a,£ #,"Ordonnee du point ", or& ( a v)( v o3zr)%$ h"" h"+".hh( )(8 v
v1"" v1"+"Bv1v1( v)1Lf( v)"x"v1"y"h" 0"V7 -------- APPARTENANCE D'UN POINT A
(xy) --------j£ #,"A.Gppartenance d'un point a une droite(O/N)" t ()"O" 5 #,
"Points de la droite " ' '. p v v ' j(£ #,"Point du plan ", h p
n+ ( ) h p 6 h p p p j ' ( p) ( p) w #,"""("( p)( p)")" #,
""()()" / ("()()( 5X,ORTHOREPpLXhV p)( p)")"* ( p) ( p) ( ( p) ( p) ( p)
( p)) ( ( p) ( p) ( p) ( p)) #,"""("( p)( p)")" ( q ( p))( ( p))( w ) #
,"""("( p)( p)")" #,""()()" / ("()()( p)( p)")" ' j, ------- MILIEU D'UN SE
GMENT ---------1£ #,"Milieu d'un segment (O/N)" ()"O" ( 4( #,"Extremite
s du segment " ' ' &2 v v ' 6£ #,"Nom du milieu ",u(,) (LF VALEU ""
#,"Nom deja repertorie " e' #P pn pnZ( pn)-d ( pn)( ( p) ( p))-n ( pn)( ( p) (
p))Hx ( p), ( p), ( p), ( p),N (( ( p) ( p))),(( ( p) ( p))), ,L (( ( p) ( p)
)),(( ( p) ( p))) , , C co co( co)"B"( p)( p) ----------------- parr-allelogr
amme --------------------B£ #,"Parallelogramme a partir de trois points (O/N)"
()"O" #,"Diagonale " ' '& v v ' D£ #,"Extremite de la 2eme diagon
ale ",u(,) (" valeu "" #,"Non repertorie" ' , p p6£ #,"Nom de l'autre extre
mite ",u(,) (AJ valeu "" #,"Deja repertorie" ' 6T up p& h( ( p) ( p))&h v(
( p) ( p))r pn pn( pn)% ( pn) h ( p)% ( pn) v ( p), ( pn), ( pn), ,JYW,ORTHORE
Pp!LXWlW * ( pn), ( pn) , , ( pn)1£ #,"Tracage du parallelogramme (O/N)"" ()"O
" T) co co( co)"E"( p)( p)( p)( pn) e, -------- LISTE DES POINTS -----------
3£ #,"Liste des points existants (O/N)" ()"O" &W # PN #,( )" (" ( )""
( )")" ' *& ----------- SAUVEGARDE Gl------------"0£ #,"Sauvegarde (O/N)" ()"O
" D #D£ #,"Confirmation (O/N)" N ()"O" X 0!X£ #,"Nom du fichier ", b l ,v
#, pn pn* a#,( ), ( ), ( ) #, co coS #,( ) u(( ),)"D" #, ( ), ( ), (
) , & ------------- LECTURE ---------£ #,"Lecture (O/N)" ()"O" #£ #,"Confi
rmation (O/N)" ()"O" ((E% (d), (d), (d),(), (d), (d), (d)"*£ #,"Nom du fi
chier ",4 , Hz ,R£ #, pn pn*f£ #,( ), ( ), ( )(p ( ), ( ), z ,& ( ), ( )
, , ( )£ #, co a qco£ #,( a) ( a)"" * ' ************** RE-RUN *********3
£ #,"Reexecution du programme (O/N)" ()"O" 8$£ #,"Etes-vous bien sur "$ (
)"O" &8 ************* CLS *************1B£ #,"Effacement de l'ecran (O/N)"
L ()"O" Q QR V (( &' ****** SOUS PROGRAMMES ********' ( p)$' a ( p).' ( Y,
ORTHOREPp)LYlZ p)8' b ( p)B' q b aL' V' w q' ( a)j'+t' -- ATTEND QU'ON FRAPP
E UNE TOUCHE --' ,P, , C""+' ------------------------------------' v' v'£ #,"1er
POINT ",d'£ #,"2em POINT ",d' pn,' d( ) v p ,' d( ) v p ')' V #,"1er
POINT INCONNU")' V #,"2em POINT INCONN&U"'4' ------------ VERIFICATION DE NO
M ------------S( valeu ts pn ( ts) valeu p ts ((2( *********** TRACAGE DU R
EPERE ************* (( ,2( ,( ,F( ,P( Z( d( ,n( ,, ,x( , ,( ,( ,( "x'" ( ,,( (,(
"x" ( ,( "y"( , ( ,( "y'"(( , "O") , ,) ,P, ,) , ,") , ,(,) ,,(6)
, ,)J) ***** PARALLO *******&T) ( p), ( p),$) ( p), ( p)$h) ( p), ( p)&r) (
pn), ( pn)$) ( p), ( p)).) *********** EQUATION GR ***************D) ( ),,
( ),,, F) ,,( ), ,K,( ), $) z(( ) ,)%) z(( ) ,)() yz(( ( ) ) ,)') xz
(( y ) ,) ) p) j (( x p ( p))) j ( y p ( p)) j (( p x( p))) j ( p y( p)) j
p p p ) y y x x )C) ( x p ( p)), ,ORTHOREPp1LT-xg y p ( p),A) ( p x
( p)), p y( p)) ,,)%) ************ DROITE **********D* ( p) ( p), ( p) ( p),B*
( p) ( p), b( p) ( p)*!&* ******** SEGMENT *********H0* ( p), ( p), ( p), (
p)!* ******* 1/2 DROITE *******&D* ( p), ( p),BN* ( p) ( p), ( pz) ( p)X*!b* *
*************************0l*(( a),,) ( P P0v*(( a),,) ( P P0*(( a),,) ( P P0*((
a),,) ( P P*+%* ******************************%* **** TRACAGE DE LA FIGURE ****%
* ********************************"* u(( a),)"A" +* ******** DROITE ******** *
l* + v* + * + B," + u(( a),)"#B" +"*+ ********* SEGMENT ******** 4+ l* + v* H
+ 0* R+ B,"+ u(( a),)"C" +%f+ ******** 1/2 droite ********** p+ l* z+ v* + D* +
B,"+ u(( a),)"D" +%+ **** EQUATION DE DROITE ******-+£ #, ( a), ( a), ( a)+ (
a)+ ( a)+ ( a) + ) + B,&+ ******* parallelogramme ******* + l* + v* , * , *!,
inve pn pn p $, T)., pn inve8,B,, N *************************************,*N **
*** M O D E D ' E M P L O I *****,4N *************************************N ,H
N " ORTHO-REPERERN "Introduction"N "C'estU un programme u
tilitaire qui a pour but d'aider les eleves de 4em,3em et de 2nd a resoudre
des problemes de geometrie et d'algebre dans le plan"fNpN "Je m'explique zNN "-
Ce Programme se base dans un repere (O,i,j) dans lequel vous pis,ORTHOREPp9Lrm
ouvez placer points,segments,demi-droites,droitesN "- Mais ce n'est pas qu'
un simple D A O puisqu'il vous permet de trouver l' equation d'une droite
a partir de deux points,ou alors a partir d'un point et du vecteur directeur
de la droit5aejN "- Inversement,le programme represente graphiquement la droite
dont vous aurez donne l'equationN "- Ce programme permet egalement de voir s
i un point appartient ou non a une droiteN "- Vous pouvez aussi trouver le
s positions relatives de 2 droites (secantes, strictement paralleles,confo
ndues,orthogonales))N , "UNE TOUCHE POUR CONTINUER" N QN/N "
MODE D'EMPLOIN " "N "* Point N " vous propose de placer un poinSt dans
le plan.Vous devez entrer l'abscisse et l'ordonnee puis confirmer en tapan
t 'o'NO "* Tracer une droiteO " vous propose de tracer une droite.Pour cela,
vous devez donner deux points de cette droite.Elle s'affichera normalCement
sur l'ecranO $O "* Tracer une demi-droiteg.O " vous propose de tracer une de
mi-droite.Entrer L'origine puis un point de la demi-droite8OBO "* Tracer un
segmentILO " vous propose de tracer un segment.Validez les deux extremites)O
, "UNE TOUCHE POUR CONTINUER" jO QtO-O " MODE D'EMPLOI (suite)O "
"-O "* Determiner l'equation d'une droite oO " vous permet de trouver l'eq
uation d'une droite.Vous pouvez LA determiner de deux manieres 5O "
1) En donnant deux points de la droiteKO " 2) En donnant un point de la d
roite et son vecteur directeurO " Reponder 'o' a la question '1 point et
un vecteur',puis entrer les coordonnee du vecteur separes par une
virgule (Ex (4,3) ),puis l'abscisse du point,et enfin son ordonn
eeOCO "* Representation d'une droite d'equation du type ax+by+c0"O " vous per
met de representer graphiquement l'ensemble des soluEW,ORTHOREPpALEl tions d'une
equation des types ax+by+c0,ax+c0,by+c0O " Pour cela, donnez la vale
ur de 'a',puis celle de 'b',et enfin celle de 'c' (N.Bpour une equation du
type ax+c0,donnez 0 pour valeur a 'b',meme principe pour by+c0,avec a0
))O , "UNE TOUCHE POUR CONTINUER" O QP0 P " MODE D'EMPLOI (sui
te) P " ".P "* Appartenance d'un point a une droiteK(P " vous permet de voir
si un point appartient ou non a une droite.C2P " Taper deux points pour defin
ir la droite, puis le pointP+FP "* Position relative de deux droitesuPP " vou
s permet de voir si deux droites sont secantes,perpendiculaires, par
alelles,ou confondues.UZP " Entrer d'abord deux poi nts de la premiere droite
, puis deux de la secondedPnP "* Milieu d'un segmentxP " vous permet de trouv
er le milieu du segment dont vous aurez fourni les extremites.Le logici
el vous demandera le nom du milieu du segmentPP "* ParallelogrammeP " vous pe
rmet de determiner le point qui,associe a quatre autres,forme un paralle
logramme.Vous devez d'abord entrer les deux extremites d'une diagona
le,puis l'extremite de la 2eme diagonale ,et enfin le nom det P " l'autre ex
tremite.Exentrer A,B,C,D et vous obtiendrez le parallelogramme ACBD.De plu
s,si vous repondez 'o' a la question suivante,le parallelogramme sera dessin
e&P , "APPUYER SUR UNE TOUCHE" P QP7P " MODE D'EMPLOI (suite e
t fin) P " "P "* ListerP " vous permet d'obtenir la liste des points se trouva
nt a l'ecran,ainsi que leurs coordonnees.Le Programme attend que vous ayez
tape sur une touche pour passer au point suivantPP "* SauvegarderlQ "
vous permet d'enregistrer sur cassette l'ensemble des points,ainsi que
leurs coordonneesQ "* LireNQ " permet de lire les donnees enregistrees grace
a l'option precedente"Q",Q "* Reexe3R,ORTHOREP pIL3B4cution du programmeu6Q "
efface tout les points de la memoire.Le logiciel est au meme etat que
lorsqu'il avait ete chargeQJQ "* Effacement de l'ecranTQ " efface uniquement l
'ecran,sans modifier la memoire&Q , "APPUYERa SUR UNE TOUCHE" hQ QrQQQ "REMARQUE
S "vQ "-appuyer sur 'o' puis 'enter' pour obtenir une option,et sur 'enter' u
niquement pour passer a une autre optionQQ "-Lorsqu'on indique des points,il fau
t evidemment les avoir au prealable representes sur l'ecran grace a l'o
ption pointQdQ "-Les noms de points ne peuvents avoir qu'une lettre et les point
s 'a' et 'A' sont differentsQQ "-La difference entre 'reexecution' et 'effacemen
t' est que le premier 'efface de sa memoire tous les points,alors que le sec
ond ne fait qu'effacer l'ecran QkQ "-Lorsque un son aigu retentit,le logiciel a
ttend que vous frappiez une touche avant de continuer&Q , "APPUYER SUR UNE TO
UCHE" Q QQgEQ C""Pp