Quiz : Les bases de l'algèbre et de la géométrie en seconde

Question 1 sur 10 10:00

[{"id":46296,"question":"Quelle est la solution de l'équation 3x - 5 = 16 ?","option_a":"x = 7","option_b":"x = 11","option_c":"x = 5","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"3x - 5 = 16 → 3x = 21 → x = 7. La solution est donc x = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46297,"question":"Le théorème de Pythagore s'applique-t-il 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 ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46298,"question":"Quelle est la forme réduite de l'expression 2(x + 3) - 5x ?","option_a":"-3x + 6","option_b":"3x - 6","option_c":"2x + 6","option_d":"-3x - 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"2(x + 3) - 5x = 2x + 6 - 5x = -3x + 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46299,"question":"Dans un triangle ABC, si AB = 5 cm, BC = 12 cm et AC = 13 cm, alors ce triangle est rectangle en B.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"5² + 12² = 25 + 144 = 169 = 13². Le triangle est donc rectangle en B.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46300,"question":"Quelle est la solution de l'inéquation 2x + 7 \u003E 15 ?","option_a":"x \u003E 4","option_b":"x \u003C 4","option_c":"x \u003E -4","option_d":"x \u003C -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 7 \u003E 15 → 2x \u003E 8 → x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46301,"question":"La fonction f(x) = 3x + 2 est 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 pour forme f(x) = ax + b, ce qui est le cas ici.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46302,"question":"Quelle est l'image de 4 par la fonction f(x) = x² - 3x + 1 ?","option_a":"5","option_b":"3","option_c":"1","option_d":"7","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(4) = 4² - 3*4 + 1 = 16 - 12 + 1 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46303,"question":"Dans un triangle isocèle, les angles à la base sont toujours 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 angles égaux (ceux à la base).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46304,"question":"Quelle est la solution de l'équation x² - 9 = 0 ?","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 ou x = -3","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"C","explication":"x² - 9 = 0 → x² = 9 → x = 3 ou x = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46305,"question":"La droite d'équation y = 2x + 1 passe-t-elle par le point (1, 3) ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour x = 1, y = 2*1 + 1 = 3. Le point (1, 3) appartient donc à la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]