{[Aplusix {[modele aplusix_modele] [noms_prop (objet statut_aplusix sorte_activite_aplusix titre_aplusix auteurs_aplusix description_aplusix discipline_aplusix theme_aplusix niveau_aplusix age_aplusix mots_cles_aplusix domaine_calcul domaine_bouton_calcul niv_alg_dyn nombre_maxi_exercices exercices_aleatoires les_langues langage_repertoire lexique_multilingue commentaires_widget nombre_phases_aplusix)] [objet Aplusix] [titre_aplusix "F1 - Syst~00e8mes lin~00e9aires " 2*2 " " - " Tr~00e8s facile " ] [auteurs_aplusix "JF Nicaud " ] [description_aplusix "Exemples : " {and [2x+1=4] [2y-1=1]} " " {and [x+y=1] [x+2y=5]} " " ] [discipline_aplusix "Math " ] [theme_aplusix "Syst~00e8mes lin~00e9aires " ] [niveau_aplusix " " ] [age_aplusix " " ] [mots_cles_aplusix " " ] [langue_aplusix " " ] [nombre_phases_aplusix 10] [phases (Aplusix_Phase1 Aplusix_Phase2 Aplusix_Phase3 Aplusix_Phase4 Aplusix_Phase5 Aplusix_Phase6 Aplusix_Phase7 Aplusix_Phase8 Aplusix_Phase9 Aplusix_Phase10)] [nombre_maxi_exercices " " ] [exercices_aleatoires oui] [statut_aplusix 2] [domaine_calcul nombres_reels] [domaine_bouton_calcul calculs_7] [niv_alg_dyn 2] [les_langues " " ] [langage_repertoire " " ] [lexique_multilingue " " ] [commentaires_widget " " ] [sorte_activite_aplusix libre]}] [Aplusix_Phase1 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase1] [numero_phase 1] [titre_phase " " ] [explication_phase " " ] [nombre_maxi_exercices " " 1 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for {and [ax=b] [cy=d]} {and {natAnd 2<=a<=5 1<=b<=5} {natAnd -5<=c<=-2 1<=d<=5} {number 10}}} " " ] [exercices_aplusix {and [3x=1] [-2y=4]} " " {and [2x=4] [-2y=3]} " " {and [3x=5] [-2y=4]} " " {and [5x=2] [-5y=4]} " " {and [2x=2] [-5y=2]} " " {and [4x=1] [-4y=5]} " " {and [3x=1] [-2y=2]} " " {and [2x=3] [-5y=1]} " " {and [4x=3] [-5y=3]} " " {and [5x=1] [-4y=3]} " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase2 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase2] [numero_phase 2] [titre_phase " " ] [explication_phase " " ] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for {and [ax+b=c] [cy-a=d]} {and {natAnd 2<=a<=5 1<=b<=5} {natAnd 2<=c<=5 1<=d<=5} {number 10}}} " " ] [exercices_aplusix {and [2x+1=4] [4y-2=2]} " " {and [5x+1=3] [3y-5=5]} " " {and [3x+5=5] [5y-3=4]} " " {and [2x+2=3] [3y-2=5]} " " {and [4x+4=5] [5y-4=1]} " " {and [4x+1=4] [4y-4=1]} " " {and [5x+1=3] [3y-5=3]} " " {and [4x+5=2] [2y-4=5]} " " {and [4x+4=3] [3y-4=4]} " " {and [5x+2=2] [2y-5=3]} " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase3 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase3] [numero_phase 3] [titre_phase " " ] [explication_phase " " ] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix " " {for {and [ax+by=u] [cx+dy=v]} {and {natAnd 1<=a<=1 1<=b<=1} {natAnd 1<=c<=1 -1<=d<=-1} {natAnd -5<=u<=5 -5<=v<=5} [ad-bc<>0] {natAnd u<>0 v<>0} {number 10}}} " " ] [exercices_aplusix {and [x+y=-2] [x-y=-5]} " " {and [x+y=1] [x-y=-2]} " " {and [x+y=-2] [x-y=4]} " " {and [x+y=-2] [x-y=-3]} " " {and [x+y=-3] [x-y=-5]} " " {and [x+y=-5] [x-y=2]} " " {and [x+y=-5] [x-y=5]} " " {and [x+y=2] [x-y=3]} " " {and [x+y=-5] [x-y=-3]} " " {and [x+y=1] [x-y=-1]} " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase4 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase4] [numero_phase 4] [titre_phase " " ] [explication_phase " " ] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for {and [ax+by=u] [cx+dy=v]} {and {natAnd -1<=a<=-1 -1<=b<=-1} {natAnd 1<=c<=1 -1<=d<=-1} {natAnd -5<=u<=5 -5<=v<=5} [ad-bc<>0] {natAnd u<>0 v<>0} {number 10}}} " " ] [exercices_aplusix {and [-x-y=-3] [x-y=3]} " " {and [-x-y=-5] [x-y=2]} " " {and [-x-y=-1] [x-y=3]} " " {and [-x-y=1] [x-y=-3]} " " {and [-x-y=-3] [x-y=1]} " " {and [-x-y=-3] [x-y=-5]} " " {and [-x-y=-2] [x-y=-1]} " " {and [-x-y=4] [x-y=-5]} " " {and [-x-y=5] [x-y=5]} " " {and [-x-y=-1] [x-y=-2]} " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase5 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase5] [numero_phase 5] [titre_phase " " ] [explication_phase " " ] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for {and [ax+by=u] [cx+dy=v]} {and {natAnd 1<=a<=1 1<=b<=1} {natAnd 1<=c<=1 2<=d<=2} {natAnd -5<=u<=5 -5<=v<=5} [ad-bc<>0] {natAnd u<>0 v<>0} {number 10}}} " " ] [exercices_aplusix {and [x+y=3] [x+2y=-2]} " " {and [x+y=1] [x+2y=1]} " " {and [x+y=-4] [x+2y=4]} " " {and [x+y=1] [x+2y=2]} " " {and [x+y=5] [x+2y=-3]} " " {and [x+y=-2] [x+2y=-2]} " " {and [x+y=1] [x+2y=4]} " " {and [x+y=-1] [x+2y=-1]} " " {and [x+y=1] [x+2y=-5]} " " {and [x+y=1] [x+2y=5]} " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase6 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase6] [numero_phase 6] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for {and [ax+by=u] [cx+dy=v]} {and {natAnd 1<=a<=1 3<=b<=3} {natAnd 2<=c<=2 1<=d<=1} {natAnd -5<=u<=5 -5<=v<=5} [ad-bc<>0] {natAnd u<>0 v<>0} {number 10}}} " " ] [exercices_aplusix {and [x+3y=-5] [2x+y=1]} " " {and [x+3y=4] [2x+y=-4]} " " {and [x+3y=-4] [2x+y=4]} " " {and [x+3y=1] [2x+y=-3]} " " {and [x+3y=-5] [2x+y=2]} " " {and [x+3y=-3] [2x+y=1]} " " {and [x+3y=-3] [2x+y=-3]} " " {and [x+3y=2] [2x+y=-2]} " " {and [x+3y=-3] [2x+y=-5]} " " {and [x+3y=-3] [2x+y=3]} " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase7 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase7] [numero_phase 7] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for {and [ax+by=u] [cx+dy=v]} {and {natAnd -1<=a<=-1 2<=b<=2} {natAnd 2<=c<=2 1<=d<=1} {natAnd -5<=u<=5 -5<=v<=5} [ad-bc<>0] {natAnd u<>0 v<>0} {number 10}}} " " ] [exercices_aplusix {and [-x+2y=5] [2x+y=4]} " " {and [-x+2y=-2] [2x+y=-1]} " " {and [-x+2y=-3] [2x+y=3]} " " {and [-x+2y=-4] [2x+y=4]} " " {and [-x+2y=-1] [2x+y=1]} " " {and [-x+2y=1] [2x+y=-5]} " " {and [-x+2y=-4] [2x+y=-4]} " " {and [-x+2y=-3] [2x+y=2]} " " {and [-x+2y=1] [2x+y=5]} " " {and [-x+2y=2] [2x+y=2]} " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase8 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase8] [numero_phase 8] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for {and [ax+by=u] [cx+dy=v]} {and {natAnd -1<=a<=-1 -1<=b<=-1} {natAnd 3<=c<=3 -1<=d<=-1} {natAnd -5<=u<=5 -5<=v<=5} [ad-bc<>0] {natAnd u<>0 v<>0} {number 10}}} " " ] [exercices_aplusix " " {and [-x-y=5] [3x-y=-5]} " " {and [-x-y=-1] [3x-y=-5]} " " {and [-x-y=3] [3x-y=4]} " " {and [-x-y=-5] [3x-y=-3]} " " {and [-x-y=4] [3x-y=5]} " " {and [-x-y=3] [3x-y=-4]} " " {and [-x-y=5] [3x-y=2]} " " {and [-x-y=3] [3x-y=5]} " " {and [-x-y=2] [3x-y=-2]} " " {and [-x-y=5] [3x-y=-2]} " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase9 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase9] [numero_phase 9] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for {and [ax+by=u] [cx+dy=v]} {and {natAnd 6<=a<=6 -1<=b<=-1} {natAnd 3<=c<=3 1<=d<=1} {natAnd -5<=u<=5 -5<=v<=5} [ad-bc<>0] {natAnd u<>0 v<>0} {number 10}}} " " ] [exercices_aplusix {and [6x-y=3] [3x+y=-2]} " " {and [6x-y=-2] [3x+y=5]} " " {and [6x-y=2] [3x+y=3]} " " {and [6x-y=2] [3x+y=-3]} " " {and [6x-y=3] [3x+y=-3]} " " {and [6x-y=-4] [3x+y=-3]} " " {and [6x-y=5] [3x+y=-2]} " " {and [6x-y=-3] [3x+y=3]} " " {and [6x-y=3] [3x+y=-1]} " " {and [6x-y=-4] [3x+y=-1]} " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase10 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase10] [numero_phase 10] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for {and [ax+by=u] [cx+dy=v]} {and {natAnd 1<=a<=1 2<=b<=2} {natAnd -1<=c<=-1 2<=d<=2} {natAnd -5<=u<=5 -5<=v<=5} [ad-bc<>0] {natAnd u<>0 v<>0} {number 10}}} " " ] [exercices_aplusix {and [x+2y=3] [-x+2y=-5]} " " {and [x+2y=4] [-x+2y=-3]} " " {and [x+2y=-5] [-x+2y=5]} " " {and [x+2y=-3] [-x+2y=-2]} " " {and [x+2y=4] [-x+2y=5]} " " {and [x+2y=-2] [-x+2y=-4]} " " {and [x+2y=-5] [-x+2y=-4]} " " {and [x+2y=5] [-x+2y=2]} " " {and [x+2y=-4] [-x+2y=5]} " " {and [x+2y=-2] [-x+2y=-1]} " " " " ] [commentaires_phase " " ] [liste_exercices ()]}]}