Quiz — 67a1f29ace5ac_lección 8 3er curso.pdf

Question 1 sur 10 20:00

[{"id":151500,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = 2","option_d":"x = -2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 7, on ajoute 5 des deux côtés : 3x = 12, puis on divise par 3 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = 4\", \"b\": \"x = 12\", \"c\": \"x = 2\", \"d\": \"x = -2\"}}","_debug_options_count":4},{"id":151501,"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, où le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":151502,"question":"Quelle est l'image de 2 par la fonction f(x) = 2x² - 3x + 1 ?","option_a":"f(2) = 3","option_b":"f(2) = 5","option_c":"f(2) = 7","option_d":"f(2) = 9","option_e":"","option_f":"","bonne_reponse":"b","explication":"En remplaçant x par 2 dans f(x) = 2x² - 3x + 1, on obtient : f(2) = 2*(4) - 3*(2) + 1 = 8 - 6 + 1 = 3. La bonne réponse est f(2) = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"f(2) = 3\", \"b\": \"f(2) = 5\", \"c\": \"f(2) = 7\", \"d\": \"f(2) = 9\"}}","_debug_options_count":4},{"id":151503,"question":"La médiane d'un triangle est toujours perpendiculaire à la base.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La médiane d'un triangle joint un sommet au milieu du côté opposé, mais elle n'est pas nécessairement perpendiculaire à ce côté.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":151504,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 7 ?","option_a":"7","option_b":"-4","option_c":"4","option_d":"-7","option_e":"","option_f":"","bonne_reponse":"b","explication":"Dans l'équation y = mx + p, m représente le coefficient directeur. Ici, m = -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"7\", \"b\": \"-4\", \"c\": \"4\", \"d\": \"-7\"}}","_debug_options_count":4},{"id":151505,"question":"La fonction f(x) = x² est-elle croissante sur ℝ ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"La fonction f(x) = x² est décroissante sur ]-∞, 0] et croissante sur [0, +∞[. Elle n'est donc pas croissante sur tout ℝ.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":151506,"question":"Résoudre l'inéquation 2x + 3 \u003E 7.","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 5","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x + 3 \u003E 7, on soustrait 3 : 2x \u003E 4, puis on divise par 2 : x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x \u003E 2\", \"b\": \"x \u003C 2\", \"c\": \"x \u003E 5\", \"d\": \"x \u003C 5\"}}","_debug_options_count":4},{"id":151507,"question":"Le cosinus d'un angle aigu dans un triangle rectangle est toujours inférieur à 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le cosinus d'un angle aigu est défini comme le rapport de la longueur du côté adjacent à l'hypoténuse. Comme l'hypoténuse est toujours plus longue que le côté adjacent, cos(θ) \u003C 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":151508,"question":"Quelle est la nature de la fonction f(x) = -3x + 2 ?","option_a":"Affine décroissante","option_b":"Affine croissante","option_c":"Constante","option_d":"Quadratic","option_e":"","option_f":"","bonne_reponse":"a","explication":"La fonction f(x) = -3x + 2 est une fonction affine de la forme f(x) = mx + p avec m = -3 \u003C 0, donc elle est décroissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Affine décroissante\", \"b\": \"Affine croissante\", \"c\": \"Constante\"","_debug_options_count":4},{"id":151509,"question":"Le point A(2, -3) appartient-il à la droite d'équation y = 2x - 7 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En remplaçant x par 2 dans l'équation y = 2x - 7, on obtient y = 2*2 - 7 = -3. Le point A(2, -3) vérifie donc l'équation.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]