Maths 3ème : Algèbre et Géométrie — Testez vos connaissances !

Question 1 sur 10 10:00

[{"id":26648,"question":"Quelle est la solution de l'équation 2x + 5 = 11 ?","option_a":"x = 3","option_b":"x = 4","option_c":"x = 2","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraire 5 des deux côtés donne 2x = 6, puis diviser par 2 donne x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26649,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26650,"question":"Quelle est la forme canonique de la fonction f(x) = x² + 4x + 3 ?","option_a":"f(x) = (x + 2)² - 1","option_b":"f(x) = (x - 2)² + 1","option_c":"f(x) = (x + 1)² + 2","option_d":"f(x) = (x - 1)² + 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Compléter le carré : f(x) = (x² + 4x + 4) - 1 = (x + 2)² - 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26651,"question":"Si un triangle a des côtés de longueurs 3, 4 et 5, est-il rectangle ?","option_a":"Oui, car 3² + 4² = 5²","option_b":"Non, car 3 + 4 ≠ 5","option_c":"Oui, car 3 + 4 \u003E 5","option_d":"Non, car 5² ≠ 3² + 4²","option_e":"","option_f":"","bonne_reponse":"A","explication":"3² + 4² = 9 + 16 = 25 = 5², donc le triangle est rectangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26652,"question":"La fonction f(x) = 2x + 3 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine a la forme f(x) = ax + b, ce qui est le cas ici.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26653,"question":"Quelle est la solution de l'inéquation 3x - 7 ≤ 2x + 1 ?","option_a":"x ≤ 8","option_b":"x ≥ 8","option_c":"x ≤ -8","option_d":"x ≥ -8","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraire 2x des deux côtés donne x - 7 ≤ 1, puis ajouter 7 donne x ≤ 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26654,"question":"Le volume d'un cube de côté 4 cm est-il égal à 64 cm³ ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le volume d'un cube est côté³, donc 4³ = 64 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26655,"question":"Quelle est la dérivée de la fonction f(x) = 3x² + 2x - 5 ?","option_a":"f'(x) = 6x + 2","option_b":"f'(x) = 3x + 2","option_c":"f'(x) = 6x - 5","option_d":"f'(x) = 2x + 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"La dérivée de 3x² est 6x, celle de 2x est 2, et celle de -5 est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26656,"question":"Si un triangle a des angles de 30°, 60° et 90°, est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Un triangle avec un angle de 90° est rectangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":26657,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 ou x = 3","option_b":"x = -2 ou x = -3","option_c":"x = 1 ou x = 6","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Factoriser : (x - 2)(x - 3) = 0, donc x = 2 ou x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]