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tutoriels:ressources:mathgraph:exercice_inequation_tableau_signe

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tutoriels:ressources:mathgraph:exercice_inequation_tableau_signe [16/08/2024 11:39] ybitontutoriels:ressources:mathgraph:exercice_inequation_tableau_signe [05/11/2025 18:21] (Version actuelle) – modification externe 127.0.0.1
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-Cet article est en tour de réécriture.+====== Tableau de signes et résolution d'inéquation ====== 
  
 Nous désirons créer une ressource de calcul demandant d'abord de remplir un tableau de signes puis de résoudre une inéquation analogue à cet exercice : [[https://bibliotheque.sesamath.net/public/voir/64818e50498f2e6972d9fcbf]] Nous désirons créer une ressource de calcul demandant d'abord de remplir un tableau de signes puis de résoudre une inéquation analogue à cet exercice : [[https://bibliotheque.sesamath.net/public/voir/64818e50498f2e6972d9fcbf]]
  
-Pour créer cette ressource vous devez utiliser la version JavaScript de MathGraph32, version 7.9.6 ou ultérieure, ou utiliser la [[https://www.mathgraph32.org/ftp/js/mtg32online/indexLyceeSansComplexes.html|version en ligne]] sur le site de MathGraph32.+Pour créer cette ressource vous pouvez utiliser MathGraph32 dans sa [[https://app.mathgraph32.org/|version en ligne]].
  
 Si nécessaire, à l'aide de l'icône {{:exercices_calcul:outiloptionsfig.png?32|}} de la barre supérieure, mettez MathGraph32 en mode Avancé sans prise en charge des nombres complexes. Si nécessaire, à l'aide de l'icône {{:exercices_calcul:outiloptionsfig.png?32|}} de la barre supérieure, mettez MathGraph32 en mode Avancé sans prise en charge des nombres complexes.
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 ==== Etape 1 : Création de la figure MathGraph ==== ==== Etape 1 : Création de la figure MathGraph ====
  
-Commencez par [[tutoriels:ressources:mathgraph:start|créer la figure mathgraph]].+Commencez par [[figure_mathgraph|créer la figure mathgraph]].
  
 Si vous désirez sauter ce qui suit vous pouvez utiliser le code Base 64 de la figure ci-dessous et, dans MathGraph32, utiliser l'icône {{:exercices_calcul:outilnew.png?32|}} puis choisir **Figure par code Base 64**. Si vous désirez sauter ce qui suit vous pouvez utiliser le code Base 64 de la figure ci-dessous et, dans MathGraph32, utiliser l'icône {{:exercices_calcul:outilnew.png?32|}} puis choisir **Figure par code Base 64**.
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 </code> </code>
  
Ligne 22: Ligne 23:
 Téléchargez ci-dessous deux bibliothèques de macro constructions créées pour simplifier le travail. Décompressez les deux fichiers zip dans le dossier de votre choix. Téléchargez ci-dessous deux bibliothèques de macro constructions créées pour simplifier le travail. Décompressez les deux fichiers zip dans le dossier de votre choix.
  
-{{ :exercices_calcul:aidepourmultietapes.zip |}}+{{ :exercices_calcul:macrosaidepourmultietapes.zip |}}
 {{ :exercices_calcul:tableauxsignesurr.zip |}} {{ :exercices_calcul:tableauxsignesurr.zip |}}
  
Ligne 29: Ligne 30:
 Si vous voulez éviter l'étape de création des calculs et fonctions ci-dessous, vous pouvez utiliser le code Base 64 ci-dessous en utilisant l'icône {{:exercices_calcul:outilnew.png?32|}} et en choisissant l'item Figure par code Base 64. Si vous voulez éviter l'étape de création des calculs et fonctions ci-dessous, vous pouvez utiliser le code Base 64 ci-dessous en utilisant l'icône {{:exercices_calcul:outilnew.png?32|}} et en choisissant l'item Figure par code Base 64.
 <code> <code>
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 </code> </code>
  
Ligne 121: Ligne 122:
 Cliquez de nouveau sur l'icône {{:exercices_calcul:outilgestionconst.png?32|}} et choisissez l'item **Implémenter une construction de la figure**. Cliquez de nouveau sur l'icône {{:exercices_calcul:outilgestionconst.png?32|}} et choisissez l'item **Implémenter une construction de la figure**.
  
-L'implémentation de cette macro nécessite aussi un calcul comme objet source 1. Sélectionnez le calcul prov dans la liste des objets proposés puis validez. La macro est implémentée.+L'implémentation de cette macro nécessite aussi un calcul comme objet source 1. Sélectionnez le calcul //prov// dans la liste des objets proposés puis validez. La macro est implémentée.
  
 Lorsqu'on implémente une construction, les objets finaux qu'elle génère ne sont pas modifiables (à part leur aspect). Lorsqu'on implémente une construction, les objets finaux qu'elle génère ne sont pas modifiables (à part leur aspect).
Ligne 130: Ligne 131:
  
 Vous voyez apparaître sur la figure deux macros et des affichages LaTeX. En utilisant l'outil {{:exercices_calcul:outilexecutionmacro.png?32|}} puis en cliquant sur la macro //Etape1// ou //Etape2// vous changez la valeur de la variable //etape// créée par la macro, ce qui fait apparaître ou disparaître les objets utiles pour chacune des ses étapes. Vous voyez apparaître sur la figure deux macros et des affichages LaTeX. En utilisant l'outil {{:exercices_calcul:outilexecutionmacro.png?32|}} puis en cliquant sur la macro //Etape1// ou //Etape2// vous changez la valeur de la variable //etape// créée par la macro, ce qui fait apparaître ou disparaître les objets utiles pour chacune des ses étapes.
 +
 +En utilisant dans la barre supérieure l'outil {{:exercices_calcul:outilmodifobjnum.png?32|}} vous vrrez que la construction a aussi créé un calcul nomme nbEtapes avec comme formule 2+0*prov. Vous pouvez remplacer la formule par 2 (il fallait que ce calcul dépende de prov pour que ce soit un objet final de construction). La présence de ce calcul est indispensable pour que LaboMep sache que cet exercice se déroule en deux étapes.
  
 Il est maintenant temps de créer notre tableau de signes. Il est maintenant temps de créer notre tableau de signes.
Ligne 444: Ligne 447:
 Sélectionnez dans la liste de gauche la fonction //solution1// et utilisez l'icône {{:tutoriels:ressources:mathgraph:up.png?32|}} pour reclasser cette fonction juste après le calcul //etapeResIneq2// comme ici : {{:exercices_calcul:tableau_signes:tutotableausignesfig5.png?400|}}. Sélectionnez dans la liste de gauche la fonction //solution1// et utilisez l'icône {{:tutoriels:ressources:mathgraph:up.png?32|}} pour reclasser cette fonction juste après le calcul //etapeResIneq2// comme ici : {{:exercices_calcul:tableau_signes:tutotableausignesfig5.png?400|}}.
  
-Procédez de même pour reclasser //solution2//, //solution3// et //solution4// au-dessous de //solution1//, //teq1//, //teq2//, //teq3// et //teq4// juste au-dessous de //rep2//.+Procédez de même pour reclasser //solution2//, //solution3// et //solution4// juste au-dessous de //solution1//, //teq1//, //teq2//, //teq3// et //teq4// juste au-dessous de //rep2//.
  
 Maintenant, toujours dans la boîte de dialogue de protocole, vous allez modifier les calculs ou fonctions créés par la macro construction en utilisant l'icône {{:exercices_calcul:outilmodifobjnum.png?32|}} ou en double-cliquant sur le nom du calcul ou de la fonction Maintenant, toujours dans la boîte de dialogue de protocole, vous allez modifier les calculs ou fonctions créés par la macro construction en utilisant l'icône {{:exercices_calcul:outilmodifobjnum.png?32|}} ou en double-cliquant sur le nom du calcul ou de la fonction
Ligne 461: Ligne 464:
 |eps|0.000000000001+0*prov|0.000000000001|idem| |eps|0.000000000001+0*prov|0.000000000001|idem|
 |zeroBorne|abs(x)<eps|Cette formule ne doit pas être modifiée| | |zeroBorne|abs(x)<eps|Cette formule ne doit pas être modifiée| |
-|estSolution2|sol21(xTest)|0|Sera modifié ci-dessous| 
 |estBorneFermee2|zeroBorne(xTest-0)|zeroBorne(xTest-2)|zeroBorne(xTest-0)|Cette fonction doit renvoyer1 si //xTest// est proche d'une des bornes formées d'un des intervalles solutions. Ici la seule borne fermée est 0.| |estBorneFermee2|zeroBorne(xTest-0)|zeroBorne(xTest-2)|zeroBorne(xTest-0)|Cette fonction doit renvoyer1 si //xTest// est proche d'une des bornes formées d'un des intervalles solutions. Ici la seule borne fermée est 0.|
 |plusInfSolution2|0+0*prov|sup&apos%%|%%inf&aneg|doit valoir 1 quand l'ensemble des solutions est non borné à droite ce qui est vrai ici quand l'ensemble des solutions est l'extérieur des racines| |plusInfSolution2|0+0*prov|sup&apos%%|%%inf&aneg|doit valoir 1 quand l'ensemble des solutions est non borné à droite ce qui est vrai ici quand l'ensemble des solutions est l'extérieur des racines|
Ligne 470: Ligne 472:
 |rep2|0*prov|0|Contiendra la formule correspondant à la réponse entrée par l'élève| |rep2|0*prov|0|Contiendra la formule correspondant à la réponse entrée par l'élève|
 |repPourBornes2|0*prov|0|Servira à communiquer entre la figure et LaboMep| |repPourBornes2|0*prov|0|Servira à communiquer entre la figure et LaboMep|
-|nbBornesIsolees2|0*prov|0|0 (pour faux) car ici il n'y a pas de solution isolée| +|nbSolIsolees2|0*prov|0|0 (pour faux) car ici il n'y a pas de solution isolée| 
-|estBorneIsolee2|0*prov|0|0 (pour faux) car par exemple l'ensemble des solutions n'est pas de la forme R -{1} ou R - {1;2}|+|estSolIsolee2|0*prov+zeroBorne(xTest-100)|0|0 (pour faux) car par exemple l'ensemble des solutions n'est pas de la forme R - {1;2} auquel cas il y aurait deux solution isolées 1 et 2| 
 +|estBorneIsolee2|0*prov+zeroBorne(xTest-50)|0|0 (pour faux) car par exemple l'ensemble des solutions n'est pas de la forme [0;3[U ]3;4] auquel cas 3 serait une borne isolée|
 |repPourBornes2|0*prov|0|Servira à communiquer entre la figure et LaboMep| |repPourBornes2|0*prov|0|Servira à communiquer entre la figure et LaboMep|
-|estBorneIsolee2|0*prov*zeroBorne(xTest-100)|0|0 (pour faux) car il n'y a ppas d'intervalle réduit à une valeur dans l'ensemble des solutions| 
 |solutionBornesFermees2|x%%<%%=0%%|%%x>=1|0|Nous n'utiliserons pas cette fonction car nous ne souhaitons pas donner d'indication si l'ensemble des solutions est faux à cause d'une erreur de crochet| |solutionBornesFermees2|x%%<%%=0%%|%%x>=1|0|Nous n'utiliserons pas cette fonction car nous ne souhaitons pas donner d'indication si l'ensemble des solutions est faux à cause d'une erreur de crochet|
  
Ligne 578: Ligne 580:
 Nous allons maintenant rajouter des éléments de correction sur le tableau de variations. Nous allons maintenant rajouter des éléments de correction sur le tableau de variations.
  
-Ces éléments ne devront apparaître que lors de la correction. Pour cela nous allons créer une variable cor qui ne pourra prendre que deux valeurs 0 et 1, la valeur 1 étant réservée au mode correction.+Ces éléments ne devront apparaître que lors de la correction. Pour cela nous allons créer une variable //cor// qui ne pourra prendre que deux valeurs 0 et 1, la valeur 1 étant réservée au mode correction.
  
 Déroulez la barre des calculs et activez l'outil {{:exercices_calcul:outilvariable.png?32|}} de création d'une variable. Déroulez la barre des calculs et activez l'outil {{:exercices_calcul:outilvariable.png?32|}} de création d'une variable.
Ligne 679: Ligne 681:
 Vous pouvez utiliser l'outil {{:exercices_calcul:outilrecalculer.png?32|}} (recalcul de la figure) qui relance les tirages aléatoires pour voir si tout se passe bien dans la première ligne de notre tableau de  variations. Vous pouvez utiliser l'outil {{:exercices_calcul:outilrecalculer.png?32|}} (recalcul de la figure) qui relance les tirages aléatoires pour voir si tout se passe bien dans la première ligne de notre tableau de  variations.
  
-Utilisez l'outil {{:exercices_calcul:outilmodifobjnum.png?32|}} (modification d'objet numérique) pour modifier la variable cor et lui donner comme valeur actuelle 0 comme ci-dessous puis validez.+Utilisez l'outil {{:exercices_calcul:outilmodifobjnum.png?32|}} (modification d'objet numérique) pour modifier la variable //cor// et lui donner comme valeur actuelle 0 comme ci-dessous puis validez.
  
 {{:exercices_calcul:tableau_signes:tutoriel1fig16.png?400|}} {{:exercices_calcul:tableau_signes:tutoriel1fig16.png?400|}}
Ligne 695: Ligne 697:
 {{:exercices_calcul:tableau_signes:tutoriel1fig17.png?500|}} {{:exercices_calcul:tableau_signes:tutoriel1fig17.png?500|}}
  
-Cette macro affectera la valeur 1 à la variable cor ce qui rendra visible nos éléments de correction.+Cette macro affectera la valeur 1 à la variable //cor// ce qui rendra visible nos éléments de correction.
  
 Utilisez l'outil {{:exercices_calcul:outilgomme.png?32|}} pour masquer cette macro. Utilisez l'outil {{:exercices_calcul:outilgomme.png?32|}} pour masquer cette macro.
Ligne 719: Ligne 721:
 Une remarque : une fois la figure finie on peut supprimer les macro constructions qu'elle contient pour la rendre plus légère. Il faut pour cela utiliser l'outil {{:exercices_calcul:outilgestionconst.png?32|}} puis l'item **Supprimer une construction de la figure**. Une remarque : une fois la figure finie on peut supprimer les macro constructions qu'elle contient pour la rendre plus légère. Il faut pour cela utiliser l'outil {{:exercices_calcul:outilgestionconst.png?32|}} puis l'item **Supprimer une construction de la figure**.
  
-==== Etape 2 : Création de notre ressource dans LaboMep V2. ====+==== Etape 2 : Création de notre ressource dans LaboMep ====
  
-Connectez vous à LaboMep V2 avec votre identifiant et votre mot de passe : https://labomep.sesamath.net/+Connectez vous à LaboMep avec votre identifiant et votre mot de passe : https://labomep.sesamath.net/
  
 A droite, déroulez Mes Ressources, et faites un clic droit sur un dossier contenu dans Mes Ressources. Dans l’exemple ci-dessous, il s’agit du dossier Test. Si vous n’avez pas de dossier dans Mes Ressources, vous devez en créer un (en cliquant droit sur l’icône avec un dossier et un signe + vert). A droite, déroulez Mes Ressources, et faites un clic droit sur un dossier contenu dans Mes Ressources. Dans l’exemple ci-dessous, il s’agit du dossier Test. Si vous n’avez pas de dossier dans Mes Ressources, vous devez en créer un (en cliquant droit sur l’icône avec un dossier et un signe + vert).
tutoriels/ressources/mathgraph/exercice_inequation_tableau_signe.1723801181.txt.gz · Dernière modification : de ybiton

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