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[{"$nulls":26},"Carré33"]
[null,"A toi de disposer dans les cases bleutées ci-contre les 9 entiers de 1 à 9 pour que les sommes des lignes, des colonnes, des diagonales,  soient toutes égales.",{"$nulls":5},"  __",5,10,"CARRES MAGIQUES D'ORDRE 3",{"$nulls":15},"pas touche !"]
[{"$nulls":7},"/"]
[{"$nulls":7},"——",0,15]
[{"$nulls":5},5,null,"——",5,10,""]
[{"$nulls":7},"——",0,15]
[null,"Pour voir une solution possible (pendant 5 secondes) appuie sur la combinaison de touches :",null,null,"|","|","|","\\",null,null,""]
[{"$nulls":4},"|","|","|"," \\__",5,10]
[{"$nulls":4},0,5,0]
[null,"[Ctrl]+m",null,null,15,10,15,null,null,15]
[null,"Pour tout reprendre à zéro appuie sur la combinaison de touches :",{"$nulls":4},""]
[{"$nulls":4},4,9,2,{"$nulls":3},""]
[{"$nulls":4},3,5,7,null,"Au fait, pourquoi le nombre 5 est-il\nobligatoirement au centre du carré?"]
[null,"[Ctrl]+r",null,null,8,1,6]
[]
[{"$nulls":17},"Pas touche !"]
[{"$nulls":17},"",0]
[null,"Danger : ne pas toucher à la structure de la feuille sous peine de la rendre inopérante !",{"$nulls":15},"",0]
[null,"¤ L'ordinateur gère les calculs immédiats et pointe les erreurs les plus flagrantes.",{"$nulls":15},"",0]
[null,"¤ On permet ainsi à l'enfant de se concentrer uniquement sur une stratégie efficace de recherche d'une solution.",{"$nulls":15},"",0]
[{"$nulls":17},"",1]
[{"$nulls":17},"",0]
[{"$nulls":17},"",0]
[{"$nulls":17},"",0]
[{"$nulls":17},"",0]
[{"$nulls":17},""]
[{"$nulls":17},""]
[{"$nulls":17},""]
[{"$nulls":17},""]
[{"$nulls":17},""]
[{"$nulls":17},""]
[{"$nulls":17},""]
[{"$nulls":17},""]

{"sheet":"Tableaux de nombres","index":1,"n_rows":35,"n_cols":30,"rows_kept":35,"merged":[[2,1,6,1],[2,3,2,9],[2,11,3,11],[7,1,9,1],[8,11,9,11],[10,19,10,21],[10,26,10,28],[11,1,12,1],[14,1,15,1],[16,19,16,21],[16,25,16,27]],"flags":["formulas_cached_only"]}
[]
[{"$nulls":26},"Bethermin"]
[null,"A toi de disposer dans les cases bleutées ci-contre les 4 entiers indiqués dans la liste ci-dessus pour que les sommes des lignes et des colonnes soient justes.",null,"1 , 3 , 8 , 17",{"$nulls":7},"Tableaux de Nombres 2x2\nd'après A. Bethermin\nArras 2000",{"$nulls":14},"pas touche !"]
[]
[{"$nulls":5},"+",null,"=","?",4,"","",{"$nulls":12},14,null,16]
[{"$nulls":4},"+",null,"+"]
[{"$nulls":5},"+",null,"=","?",25,"","",{"$nulls":12},8,null,1]
[null,"Pour voir une solution possible (pendant 5 secondes) appuie sur la combinaison de touches :",null,null,"||",null,"||"]
[{"$nulls":4},"?",null,"?",{"$nulls":4},""]
[{"$nulls":4},9,null,20]
[null,"[Ctrl]+m",null,null,"",null,"",{"$nulls":12},"Pas touche !",{"$nulls":4},"laliste",null,"Pas touche !"]
[null,"Pour valider une saisie, n'oublie pas d'appuyer sur la touche [Entrée].",null,null,"",null,"",{"$nulls":12},9,null,1,null,null,1,1,1,1,1]
[{"$nulls":4},"",{"$nulls":19},3,3,3,3,3]
[{"$nulls":19},4,null,3,null,null,8,8,8,8,8]
[null,"Pour tout reprendre à zéro appuie sur la combinaison de touches :",null,null,1,null,3,{"$nulls":17},17,17,17,17,17]
[]
[null,"[Ctrl]+r",null,null,8,null,17,{"$nulls":12},"Pas touche !",{"$nulls":4},"laliste","Pas touche !",{"$nulls":3},false]
[]
[{"$nulls":19},0,null,0,null,null,0,0,0,0,0,false]
[{"$nulls":24},0,0,0,0,0,false]
[null,"Danger : ne pas toucher à la structure de la feuille sous peine de la rendre inopérante !",{"$nulls":22},0,0,0,0,0,false]
[null,"¤ L'ordinateur gère les calculs immédiats et pointe les erreurs les plus flagrantes.",{"$nulls":17},0,null,0,null,null,0,0,0,0,0,false]
[null,"¤ On permet ainsi à l'enfant de se concentrer uniquement sur une stratégie efficace de recherche d'une solution."]
[null,"¤ Source : André Béthermin, Arras 2000, repris par F. Boule"]
[]
[]
[]
[]
[{"$nulls":18},""]
[{"$nulls":18},""]
[{"$nulls":18},"Dernière ligne : total trop fort\n"]
[{"$nulls":18},""]
[{"$nulls":18},"Première colonne : total trop fort\n"]
[{"$nulls":18},""]
[{"$nulls":18},"Dernière colonne : total trop fort\n"]

{"sheet":"Opé_Imaginaires","index":2,"n_rows":38,"n_cols":36,"rows_kept":38,"flags":["formulas_cached_only"]}
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[null,"Opérations Imaginaires",{"$nulls":4},"D'après F. Boule",{"$nulls":7},"¤",3,5,8,"niveau","forme1","forme2","aux","signe1","a","b","a'","b'","a\"","b\"","phi0","signe2","signe3","n°forme","formuleMaths","formuleRC"]
[null,"Il s'agit de découvrir la règle qui à deux nombres associent un troisième.",{"$nulls":12},2,{"$nulls":3},"facile","produit ± phi0","aX ± bY",4," - ",1,1,"","","",""," - 4"," + ",null,2,"x - y","x - y"]
[null,"La règle fait appel à une combinaison du produit (xy) de la somme (x+y) des nombres eux-mêmes.",{"$nulls":12},3,{"$nulls":3},"moyen","phi0 - produit","aSomme ± b",null," - ",3,14,3,14,"3*","14*",48," + ",null,2,"3Somme + 14","3*(x + y) + 14"]
[null,"Des coefficients entiers peuvent affecter les composants de cette règle.",{"$nulls":12},6,{"$nulls":3},"difficile","Produit + aX ± bY ± phi0","aProduit-bsomme",3," + ",2,1,2,"","2*",""," - 3"," - "," - ",1,"Produit + 2X - Y - 3","x*y + 2*x - y - 3"]
[]
[null,"1/ Choisis le niveau de difficulté de l'énigme :",{"$nulls":5},"facile",{"$nulls":25},"x - y","x - y"]
[]
[null,"2/ Appuie sur la combinaison de touches",{"$nulls":21},"Pas touche !"]
[null,"[Ctrl] + r pour générer une nouvelle devinette"]
[]
[null,"3/ A toi de compléter le tableau",{"$nulls":12},"¤",4,7,8,"niveau","forme1","forme2","aux","signe1","a","b","a'","b'","a\"","b\"","phi0","signe2","signe3","n°forme","formuleMaths","formuleRC"]
[{"$nulls":14},2,{"$nulls":3},"facile","produit ± phi0","aX ± bY",3," + ",1,1,"","","",""," + 3"," - ",null,1,"Produit + 3","x*y + 3"]
[{"$nulls":14},5,{"$nulls":3},"moyen","phi0 - produit","aSomme ± b",null," + ",4,3,4,3,"4*","3*",128," + ",null,1,"128 - Produit","128 - x*y"]
[null,null,"¤",4,7,8,null,null,"Indicateur de validité",{"$nulls":5},8,{"$nulls":3},"difficile","Produit + aX ± bY ± phi0","aProduit-bsomme",3," + ",2,1,2,"","2*",""," - 3"," + "," - ",2,"2Produit - Somme","2*x*y - (x + y)"]
[null,null,2,11,null,19,null,"J","","J"]
[null,null,5,23,{"$nulls":3},"J","","",{"$nulls":23},"Produit + 3","x*y + 3","36 - x*y"]
[null,null,8,35,59,67,null,"J","J","J"]
[]
[{"$nulls":6},"4/ Pour voir la solution  (5 secondes max)"]
[{"$nulls":6},"appuie sur la combinaison de touches [Ctrl] + m ."]
[]
[]
[{"$nulls":3},"La formule :","Produit + 3"]
[]
[{"$nulls":3},"Le tableau complet :"]
[]
[null,null,"¤",4,7,8]
[null,null,2,11,17,19]
[null,null,5,23,38,43]
[null,null,8,35,59,67]
[]
[]
[]
[]
[null,"Danger : ne pas toucher à la structure de la feuille sous peine de la rendre inopérante !"]
[null,"¤ L'ordinateur gère les calculs immédiats et pointe les réponses erronées."]
[null,"¤ On permet ainsi à l'enfant de se concentrer uniquement sur une stratégie efficace de recherche d'une solution."]