{[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 url_tutoriel url_video langage_repertoire lexique_multilingue commentaires_widget nombre_phases_aplusix)] [objet Aplusix] [titre_aplusix "F2 - Syst~00e8mes lin~00e9aires " 2*2 " " - " Facile " ] [auteurs_aplusix "JF Nicaud " ] [description_aplusix "Exemples : " {and [4x+2y=5] [-3x+2y=-4]} " " {and [-3y=-x+5] [4x=2y+4]} " " ] [discipline_aplusix "Math " ] [theme_aplusix "Syst~00e8mes lin~00e9aires " ] [niveau_aplusix " " ] [age_aplusix " " ] [mots_cles_aplusix " " ] [langue_aplusix " " ] [nombre_phases_aplusix 8] [phases (Aplusix_Phase1 Aplusix_Phase2 Aplusix_Phase3 Aplusix_Phase4 Aplusix_Phase5 Aplusix_Phase6 Aplusix_Phase7 Aplusix_Phase8)] [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] [url_tutoriel " " ] [url_video " " ]}] [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 2 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for {and [cx+dy-v=0] [ax+by-u=0]} {and [{natAnd -4<=a<=4 {abs [a]}>=2}] [2<=b<=2] [-1<=c<=-1] [{natAnd -4<=d<=4 {abs [d]}>=2}] {natAnd -5<=u<=5 -5<=v<=5} [ad-bc<>0] {natAnd u<>0 v<>0} {number 10}}} " " "un coef " 1 " ou " -1 " " {for {and [cy+dz-b=uy+(b-1)z+v] [-ay+bz-v+2=(v-1)y+(c-1)z+u]} {and [2<=a<=4] [-4<=b<=4] [3<=c<=5] [{natAnd -4<=d<=4 {abs [d]}>=2}] [-4<=u<=-1] [3<=v<=5] {let m=c-u} {let n=d-b+1} {let p=-a-v+1} {let q=b-c+1} [{natAnd {abs [m]}>1 {abs [n]}=1 {abs [p]}>1 {abs [q]}>1}] [{natAnd {abs [m]}<>{abs [p]} {abs [n]}<>{abs [q]}}] [mq-np<>0] {number 10}}} " " ] [exercices_aplusix " " " " " " {and [1+2y=0] [-3x+2y-3=0]} " " {and [x+2y+1=0] [4x+2y-1=0]} " " {and [-2x+3y+5=0] [4x+2y-1=0]} " " {and [2x+4y+1=0] [-4x+2y-3=0]} " " {and [-x+2y+5=0] [4x+2y-3=0]} " " {and [2+3y=0] [3x+2y+3=0]} " " {and [2x+2y+2=0] [-4x+2y+5=0]} " " {and [2+4y=0] [-3x+2y-3=0]} " " {and [x+3y+5=0] [-4x+2y-2=0]} " " {and [-x-3y+3=0] [-2x+2y-1=0]} " " " " {and [-x+3y+4=0] [3x+2y+4=0]} " " {and [-x-3y+2=0] [2x+2y+5=0]} " " {and [-x+4y-3=0] [4x+2y+2=0]} " " {and [-x+2y-4=0] [2x+2y+4=0]} " " {and [-x+3y+3=0] [2x+2y+5=0]} " " {and [-x+4y+2=0] [4x+2y+5=0]} " " {and [-x+2y-4=0] [3x+2y+4=0]} " " {and [-x+3y+2=0] [4x+2y+5=0]} " " {and [-x+3y-3=0] [3x+2y+4=0]} " " {and [-x-2y-4=0] [2x+2y-1=0]} " " " " ] [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 2 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for {and [cx+dy=v] [ax+by=u]} {and [{natAnd -4<=a<=4 {abs [a]}>=2}] [1<=b<=1] [4<=c<=4] [{natAnd -4<=d<=4 {abs [d]}>=2}] {natAnd -5<=u<=5 -5<=v<=5} [ad-bc<>0] {natAnd u<>0 v<>0} {number 10}}} " " ] [exercices_aplusix {and [4x-3y=-1] [4x+y=-4]} " " {and [4x+2y=-2] [-3x+y=5]} " " {and [4x+3y=-1] [4x+y=-4]} " " {and [4x-4y=2] [2x+y=-3]} " " {and [4x-3y=-5] [-3x+y=-2]} " " {and [4x+2y=2] [4x+y=3]} " " {and [4x+4y=1] [2x+y=3]} " " {and [4x+3y=-5] [4x+y=3]} " " {and [4x+2y=1] [-3x+y=3]} " " {and [4x+3y=-4] [4x+y=5]} " " ] [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 2 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix " " {for {and [dy=-cx+v] [ax=by+u]} {and [{natAnd -4<=a<=4 {abs [a]}>=2}] [2<=b<=2] [1<=c<=1] [{natAnd -4<=d<=4 {abs [d]}>=2}] {natAnd -5<=u<=5 -5<=v<=5} [ad-bc<>0] {natAnd u<>0 v<>0} {number 10}}} " " ] [exercices_aplusix {and [-3y=-x-5] [-2x=2y+4]} " " {and [3y=-x-4] [3x=2y+3]} " " {and [4y=-x-3] [-4x=2y-2]} " " {and [2y=-x+5] [-4x=2y+4]} " " {and [-2y=-x+5] [3x=2y+4]} " " {and [-2y=-x-1] [4x=2y+5]} " " {and [-3y=-x+5] [4x=2y+4]} " " {and [-4y=-x+1] [3x=2y-3]} " " {and [-3y=-x-3] [3x=2y+2]} " " {and [2y=-x+5] [2x=2y+5]} " " " " ] [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 2 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for {and [0=-cx-dy+v] [ax+u=by]} {and [{natAnd -4<=a<=4 {abs [a]}>=2}] [3<=b<=4] [1<=c<=1] [{natAnd -4<=d<=4 {abs [d]}>=2}] {natAnd -5<=u<=5 -5<=v<=5} [ad-bc<>0] {natAnd u<>0 v<>0} {number 10}}} " " ] [exercices_aplusix {and [0=-x+2y-2] [2x-5=4y]} " " {and [0=-x+2y-3] [3x+5=3y]} " " {and [0=-x-2y-5] [-4x+2=3y]} " " {and [0=-x+3y-2] [-3x-1=4y]} " " {and [0=-x+4y+4] [-2x+3=3y]} " " {and [0=-x-2y-1] [-2x+5=4y]} " " {and [0=-x+2y-1] [-2x+5=3y]} " " {and [0=-x-3y+5] [2x-5=3y]} " " {and [0=-x+2y+1] [-3x+5=4y]} " " {and [0=-x+3y-3] [-2x+2=4y]} " " " " ] [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 2 " " ] [exercices_aleatoires oui] [type_exercice operator_solve] [consigne_exercice " " ] [reserve_aplusix {for {and [ax+by=u] [cx+dy=v]} {and [{natAnd -4<=a<=4 {abs [a]}>=2}] [3<=b<=4] [3<=c<=4] [{natAnd -4<=d<=4 {abs [d]}>=2}] {natAnd -5<=u<=5 -5<=v<=5} [ad-bc<>0] {natAnd u<>0 v<>0} [b=d] {number 10}}} " " ] [exercices_aplusix {and [3x+4y=-4] [4x+4y=3]} " " {and [-2x+4y=-1] [3x+4y=-4]} " " {and [4x+3y=5] [3x+3y=-2]} " " {and [-3x+4y=-1] [3x+4y=-5]} " " {and [2x+4y=4] [3x+4y=-1]} " " {and [-2x+3y=-4] [3x+3y=5]} " " {and [2x+4y=1] [4x+4y=-5]} " " {and [2x+3y=-5] [3x+3y=-4]} " " {and [-4x+3y=3] [3x+3y=5]} " " {and [4x+3y=-2] [3x+3y=-3]} " " " " ] [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 " " ] [exercices_aplusix " " " " ] [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 " " ] [exercices_aplusix " " ] [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 " " ] [exercices_aplusix " " " " ] [commentaires_phase " " ] [liste_exercices ()]}]}