Quiz : Algèbre et Géométrie — 1ère année secondaire

Question 1 sur 10 10:00

[{"id":16978,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 3","option_c":"x = 15\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 10 → 3x = 15 → x = 5. Cette équation est une équation du premier degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16979,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore est valable uniquement pour les triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16980,"question":"Quelle est la forme générale d'une fonction affine ?","option_a":"f(x) = ax + b","option_b":"f(x) = ax² + bx + c","option_c":"f(x) = a\/x","option_d":"f(x) = √x","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b, où a et b sont des réels.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16981,"question":"Si un triangle a des côtés de longueurs 3, 4 et 5, alors il est rectangle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"3² + 4² = 9 + 16 = 25 = 5². Le triangle est donc rectangle d'après le théorème de Pythagore.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16982,"question":"Quelle est la solution de l'inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003E 4","option_c":"x \u003C 2","option_d":"x \u003C 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 3 \u003E 7 → 2x \u003E 4 → x \u003E 2. L'inéquation est résolue en isolant x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16983,"question":"Le théorème de Thalès permet de calculer des longueurs dans des triangles semblables.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Thalès établit une proportionnalité entre les longueurs des côtés de triangles semblables.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16984,"question":"Quelle est la valeur de f(2) pour la fonction f(x) = 3x² - 2x + 1 ?","option_a":"f(2) = 7","option_b":"f(2) = 9","option_c":"f(2) = 11","option_d":"f(2) = 13","option_e":"","option_f":"","bonne_reponse":"C","explication":"f(2) = 3*(2)² - 2*(2) + 1 = 12 - 4 + 1 = 9. Le calcul est effectué en remplaçant x par 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16985,"question":"Un triangle isocèle a deux angles égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, un triangle isocèle a deux côtés égaux et donc deux angles égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16986,"question":"Quelle est la solution de l'équation x² - 4x + 4 = 0 ?","option_a":"x = 2","option_b":"x = -2","option_c":"x = 4","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 4x + 4 = (x - 2)² = 0 → x = 2. L'équation est un carré parfait.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":16987,"question":"La fonction f(x) = 5x est une fonction linéaire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire s'écrit sous la forme f(x) = ax, où a est un réel. Ici, a = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]