Quiz — Annexe-3-math-dc-1-20-21-pilote.pdf

Question 1 sur 10 20:00

[{"id":19579,"question":"Quelle est la solution de l'équation 3x + 5 = 2x - 7 ?","option_a":"x = -12","option_b":"x = -2","option_c":"x = 12","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x + 5 = 2x - 7, on soustrait 2x des deux côtés : x + 5 = -7. Ensuite, on soustrait 5 : x = -12.","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 = -12\", \"b\": \"x = -2\", \"c\": \"x = 12\", \"d\": \"x = 2\"}}","_debug_options_count":4},{"id":19580,"question":"L'inéquation 2x - 4 \u003E 6 a pour solution :","option_a":"x \u003E 5","option_b":"x \u003C 5","option_c":"x \u003E 10","option_d":"x \u003C 10","option_e":"","option_f":"","bonne_reponse":"a","explication":"Résolvez 2x - 4 \u003E 6 : ajoutez 4 des deux côtés (2x \u003E 10), puis divisez par 2 (x \u003E 5).","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 5\", \"b\": \"x \u003C 5\", \"c\": \"x \u003E 10\", \"d\": \"x \u003C 10\"}}","_debug_options_count":4},{"id":19581,"question":"Vrai ou Faux ? La somme des angles d'un triangle est toujours égale à 180°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une propriété fondamentale de la géométrie euclidienne : la somme des angles d'un triangle est toujours 180°.","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":19582,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)²","option_b":"(x - 3)(x + 3)","option_c":"(x + 3)²","option_d":"x(x - 9)","option_e":"","option_f":"","bonne_reponse":"b","explication":"x² - 9 est une différence de carrés : (x - 3)(x + 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\": \"(x - 3)²\", \"b\": \"(x - 3)(x + 3)\", \"c\": \"(x + 3)²\", \"d\": \"x(x - ","_debug_options_count":4},{"id":19583,"question":"Vrai ou Faux ? L'équation x² = -4 a des solutions réelles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Un carré est toujours positif ou nul. x² = -4 n'a donc pas de solution réelle.","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":19584,"question":"Quelle est la solution de l'inéquation -3x + 2 ≤ 11 ?","option_a":"x ≥ -3","option_b":"x ≤ -3","option_c":"x ≥ 3","option_d":"x ≤ 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Résolvez -3x + 2 ≤ 11 : soustrayez 2 (-3x ≤ 9), puis divisez par -3 (attention au changement de sens : x ≥ -3).","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 ≥ -3\", \"b\": \"x ≤ -3\", \"c\": \"x ≥ 3\", \"d\": \"x ≤ 3\"}}","_debug_options_count":4},{"id":19585,"question":"Quelle propriété géométrique permet de dire que deux triangles sont semblables ?","option_a":"Ils ont les mêmes angles.","option_b":"Ils ont les mêmes côtés.","option_c":"Ils ont le même périmètre.","option_d":"Ils ont la même aire.","option_e":"","option_f":"","bonne_reponse":"a","explication":"Deux triangles sont semblables s'ils ont les mêmes angles (critère d'angle-angle-angle).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Ils ont les mêmes angles.\", \"b\": \"Ils ont les mêmes côtés.\", ","_debug_options_count":4},{"id":19586,"question":"Vrai ou Faux ? L'expression 2(x + 3) est développée.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'expression 2(x + 3) est factorisée. Développée, elle devient 2x + 6.","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":19587,"question":"Quelle est la solution de l'équation (x + 2)(x - 3) = 0 ?","option_a":"x = -2 ou x = 3","option_b":"x = 2 ou x = -3","option_c":"x = 0","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un produit de facteurs est nul si l'un des facteurs est nul. Donc x + 2 = 0 (x = -2) ou x - 3 = 0 (x = 3).","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 = -2 ou x = 3\", \"b\": \"x = 2 ou x = -3\", \"c\": \"x = 0\", \"d\": \"x =","_debug_options_count":4},{"id":19588,"question":"Quelle est la nature du triangle dont les angles mesurent 60°, 60° et 60° ?","option_a":"Équilatéral","option_b":"Isocèle","option_c":"Rectangle","option_d":"Quelconque","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un triangle avec trois angles égaux à 60° est équilatéral (tous ses côtés sont égaux).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Équilatéral\", \"b\": \"Isocèle\", \"c\": \"Rectangle\", \"d\": \"Quelconq","_debug_options_count":4}]