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<!DOCTYPE html>
<html lang="fr">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Aide aux devoirs Maths/Physique/Chimie</title>
<script src="https://cdn.tailwindcss.com"></script>
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.0/css/all.min.css">
<style>
.mind-map {
min-height: 500px;
background-color: #f8fafc;
border-radius: 1rem;
position: relative;
overflow: hidden;
}
.node {
position: absolute;
padding: 1rem;
border-radius: 0.5rem;
box-shadow: 0 4px 6px -1px rgba(0, 0, 0, 0.1);
cursor: move;
transition: all 0.2s;
max-width: 250px;
min-width: 150px;
}
.node:hover {
box-shadow: 0 10px 15px -3px rgba(0, 0, 0, 0.1);
transform: scale(1.02);
}
.node-main {
background-color: #3b82f6;
color: white;
font-weight: bold;
z-index: 10;
}
.node-question {
background-color: #f59e0b;
color: white;
z-index: 5;
}
.node-answer {
background-color: #10b981;
color: white;
z-index: 3;
}
.node-blank {
background-color: white;
border: 2px dashed #64748b;
color: #334155;
}
.connector {
position: absolute;
background-color: #94a3b8;
height: 2px;
transform-origin: left center;
z-index: 1;
}
.blank-input {
background-color: transparent;
border-bottom: 2px solid #3b82f6;
color: #3b82f6;
font-weight: bold;
width: 80px;
text-align: center;
margin: 0 5px;
}
.blank-input:focus {
outline: none;
border-bottom-color: #1d4ed8;
}
.subject-tab.active {
background-color: #3b82f6;
color: white;
}
.level-tab.active {
background-color: #10b981;
color: white;
}
</style>
</head>
<body class="bg-gray-50 min-h-screen">
<div class="container mx-auto px-4 py-8">
<header class="mb-8 text-center">
<h1 class="text-4xl font-bold text-blue-600 mb-2">Aide aux Devoirs</h1>
<h2 class="text-2xl text-gray-700">Mathématiques • Physique • Chimie</h2>
<p class="text-gray-500 mt-2">De la 2nde à la Terminale</p>
</header>
<div class="flex flex-col lg:flex-row gap-6">
<!-- Sidebar -->
<div class="w-full lg:w-1/4 bg-white p-6 rounded-xl shadow-md">
<div class="mb-6">
<h3 class="text-lg font-semibold mb-3 text-gray-800">Matières</h3>
<div class="grid grid-cols-3 gap-2">
<button class="subject-tab active py-2 px-3 rounded-lg transition" data-subject="maths">
<i class="fas fa-square-root-alt mr-2"></i> Maths
</button>
<button class="subject-tab py-2 px-3 rounded-lg transition" data-subject="physics">
<i class="fas fa-atom mr-2"></i> Physique
</button>
<button class="subject-tab py-2 px-3 rounded-lg transition" data-subject="chemistry">
<i class="fas fa-flask mr-2"></i> Chimie
</button>
</div>
</div>
<div class="mb-6">
<h3 class="text-lg font-semibold mb-3 text-gray-800">Niveau</h3>
<div class="grid grid-cols-3 gap-2">
<button class="level-tab py-2 px-3 rounded-lg transition" data-level="2nde">
2nde
</button>
<button class="level-tab py-2 px-3 rounded-lg transition active" data-level="1ere">
1ère
</button>
<button class="level-tab py-2 px-3 rounded-lg transition" data-level="terminale">
Terminale
</button>
</div>
</div>
<div class="mb-6">
<h3 class="text-lg font-semibold mb-3 text-gray-800">Thèmes</h3>
<div class="space-y-2" id="themes-container">
<!-- Thèmes seront chargés dynamiquement -->
</div>
</div>
<div class="mb-6">
<h3 class="text-lg font-semibold mb-3 text-gray-800">Outils</h3>
<button id="add-question" class="w-full bg-yellow-500 hover:bg-yellow-600 text-white py-2 px-4 rounded-lg mb-2 transition flex items-center justify-center">
<i class="fas fa-question-circle mr-2"></i> Ajouter Question
</button>
<button id="add-answer" class="w-full bg-green-500 hover:bg-green-600 text-white py-2 px-4 rounded-lg mb-2 transition flex items-center justify-center">
<i class="fas fa-lightbulb mr-2"></i> Ajouter Réponse
</button>
<button id="add-blank" class="w-full bg-white border border-blue-500 text-blue-500 hover:bg-blue-50 py-2 px-4 rounded-lg transition flex items-center justify-center">
<i class="fas fa-edit mr-2"></i> Ajouter Trou
</button>
</div>
<div class="bg-blue-50 p-4 rounded-lg border border-blue-200">
<h4 class="font-medium text-blue-800 mb-2 flex items-center">
<i class="fas fa-info-circle mr-2"></i> Comment utiliser
</h4>
<p class="text-sm text-blue-700">
1. Sélectionnez une matière et un niveau<br>
2. Choisissez un thème<br>
3. Explorez les questions et réponses<br>
4. Complétez les trous pour vérifier vos connaissances
</p>
</div>
</div>
<!-- Main content -->
<div class="w-full lg:w-3/4">
<div class="bg-white p-6 rounded-xl shadow-md mb-6">
<div class="flex justify-between items-center mb-4">
<h3 class="text-xl font-semibold text-gray-800" id="current-theme">Sélectionnez un thème</h3>
<div class="flex space-x-2">
<button id="zoom-in" class="bg-gray-200 hover:bg-gray-300 p-2 rounded-lg">
<i class="fas fa-search-plus"></i>
</button>
<button id="zoom-out" class="bg-gray-200 hover:bg-gray-300 p-2 rounded-lg">
<i class="fas fa-search-minus"></i>
</button>
<button id="reset-view" class="bg-gray-200 hover:bg-gray-300 p-2 rounded-lg">
<i class="fas fa-expand"></i>
</button>
</div>
</div>
<div class="mind-map relative" id="mind-map">
<!-- Mind map content will be generated here -->
<div class="node node-main absolute top-1/2 left-1/2 transform -translate-x-1/2 -translate-y-1/2" style="transform: translate(-50%, -50%);">
<div class="text-center">
<i class="fas fa-brain text-2xl mb-2"></i>
<div>Commencez par sélectionner un thème</div>
</div>
</div>
</div>
</div>
<div class="bg-white p-6 rounded-xl shadow-md">
<h3 class="text-xl font-semibold text-gray-800 mb-4">Vérifiez vos réponses</h3>
<div class="flex flex-wrap gap-4" id="blanks-container">
<!-- Blank answers will appear here -->
<div class="bg-gray-100 p-4 rounded-lg text-center w-full">
<p class="text-gray-500">Les trous que vous complétez apparaîtront ici pour vérification.</p>
</div>
</div>
<button id="check-answers" class="mt-4 bg-blue-600 hover:bg-blue-700 text-white py-2 px-6 rounded-lg transition hidden">
<i class="fas fa-check-circle mr-2"></i> Vérifier les réponses
</button>
</div>
</div>
</div>
</div>
<script>
// Sample data for questions and answers
const data = {
maths: {
'2nde': {
'Fonctions': [
{
question: "Quelle est la définition d'une fonction ?",
answer: "Une fonction est une relation qui à chaque élément d'un ensemble de départ associe au plus un élément d'un ensemble d'arrivée."
},
{
question: "Comment calcule-t-on l'image d'un nombre par une fonction f ?",
answer: "On remplace x par le nombre dans l'expression de f(x)."
},
{
question: "Qu'est-ce qu'un antécédent ?",
answer: "Un antécédent d'un nombre y par une fonction f est un nombre x tel que f(x) = y."
}
],
'Géométrie': [
{
question: "Quelle est la formule du théorème de Pythagore ?",
answer: "Dans un triangle rectangle, si a et b sont les longueurs des côtés de l'angle droit et c celle de l'hypoténuse, alors a² + b² = c²."
}
]
},
'1ere': {
'Dérivation': [
{
question: "Quelle est la dérivée de f(x) = x² ?",
answer: "f'(x) = 2x"
},
{
question: "Que représente f'(a) graphiquement ?",
answer: "C'est le coefficient directeur de la tangente à la courbe de f au point d'abscisse a."
}
],
'Probabilités': [
{
question: "Comment calcule-t-on la probabilité de A sachant B ?",
answer: "P(A|B) = P(A∩B) / P(B)"
}
]
},
'terminale': {
'Limites': [
{
question: "Que signifie lim f(x) = +∞ quand x→+∞ ?",
answer: "La fonction f prend des valeurs aussi grandes qu'on veut dès que x est suffisamment grand."
}
],
'Exponentielle': [
{
question: "Quelle est la dérivée de exp(x) ?",
answer: "exp(x) (la fonction exponentielle est sa propre dérivée)"
}
]
}
},
physics: {
'2nde': {
'Mouvement': [
{
question: "Comment calcule-t-on la vitesse moyenne ?",
answer: "v = distance parcourue / durée du parcours"
}
]
},
'1ere': {
'Ondes': [
{
question: "Quelle est la relation entre longueur d'onde, fréquence et célérité ?",
answer: "λ = v / f où λ est la longueur d'onde, v la célérité et f la fréquence."
}
]
},
'terminale': {
'Mécanique': [
{
question: "Énoncez la 2ème loi de Newton",
answer: "ΣF = m·a (la somme des forces est égale à la masse fois l'accélération)"
}
]
}
},
chemistry: {
'2nde': {
'Atome': [
{
question: "Quels sont les 3 constituants principaux d'un atome ?",
answer: "Protons, neutrons et électrons"
}
]
},
'1ere': {
'Transformations': [
{
question: "Qu'est-ce qu'une réaction d'oxydoréduction ?",
answer: "Une réaction où il y a transfert d'électrons entre espèces chimiques."
}
]
},
'terminale': {
'Cinétique': [
{
question: "Quels facteurs influencent la vitesse d'une réaction chimique ?",
answer: "Température, concentration, catalyseur, état de division des réactifs"
}
]
}
}
};
// Current selections
let currentSubject = 'maths';
let currentLevel = '1ere';
let currentTheme = '';
let nodes = [];
let connectors = [];
let blanks = [];
let scale = 1;
// DOM elements
const mindMap = document.getElementById('mind-map');
const themesContainer = document.getElementById('themes-container');
const currentThemeDisplay = document.getElementById('current-theme');
const blanksContainer = document.getElementById('blanks-container');
const checkAnswersBtn = document.getElementById('check-answers');
// Initialize
document.addEventListener('DOMContentLoaded', () => {
// Set up event listeners
setupEventListeners();
// Load initial data
updateThemeList();
});
function setupEventListeners() {
// Subject tabs
document.querySelectorAll('.subject-tab').forEach(tab => {
tab.addEventListener('click', () => {
document.querySelectorAll('.subject-tab').forEach(t => t.classList.remove('active'));
tab.classList.add('active');
currentSubject = tab.dataset.subject;
updateThemeList();
});
});
// Level tabs
document.querySelectorAll('.level-tab').forEach(tab => {
tab.addEventListener('click', () => {
document.querySelectorAll('.level-tab').forEach(t => t.classList.remove('active'));
tab.classList.add('active');
currentLevel = tab.dataset.level;
updateThemeList();
});
});
// Tool buttons
document.getElementById('add-question').addEventListener('click', addQuestionNode);
document.getElementById('add-answer').addEventListener('click', addAnswerNode);
document.getElementById('add-blank').addEventListener('click', addBlankNode);
document.getElementById('check-answers').addEventListener('click', checkAnswers);
// Zoom controls
document.getElementById('zoom-in').addEventListener('click', () => {
scale += 0.1;
updateZoom();
});
document.getElementById('zoom-out').addEventListener('click', () => {
if (scale > 0.5) {
scale -= 0.1;
updateZoom();
}
});
document.getElementById('reset-view').addEventListener('click', () => {
scale = 1;
updateZoom();
});
}
function updateZoom() {
mindMap.style.transform = `scale(${scale})`;
}
function updateThemeList() {
themesContainer.innerHTML = '';
const themes = data[currentSubject][currentLevel];
if (!themes) return;
Object.keys(themes).forEach(theme => {
const button = document.createElement('button');
button.className = 'w-full text-left py-2 px-3 rounded-lg hover:bg-gray-100 transition';
button.textContent = theme;
button.addEventListener('click', () => {
currentTheme = theme;
currentThemeDisplay.textContent = theme;
loadThemeContent();
});
themesContainer.appendChild(button);
});
}
function loadThemeContent() {
// Clear existing content
clearMindMap();
// Get questions for current theme
const questions = data[currentSubject][currentLevel][currentTheme];
if (!questions || questions.length === 0) return;
// Create main theme node
const mainNode = createNode(currentTheme, 'node-main', mindMap.offsetWidth / 2, mindMap.offsetHeight / 2);
nodes.push(mainNode);
// Create question nodes around the main node
const angleStep = (2 * Math.PI) / questions.length;
const radius = 150;
questions.forEach((q, i) => {
const angle = i * angleStep;
const x = mainNode.offsetLeft + mainNode.offsetWidth / 2 + Math.cos(angle) * radius - 100;
const y = mainNode.offsetTop + mainNode.offsetHeight / 2 + Math.sin(angle) * radius - 50;
const questionNode = createNode(q.question, 'node-question', x, y);
nodes.push(questionNode);
// Create answer node
const answerX = x + (Math.cos(angle) * 120);
const answerY = y + (Math.sin(angle) * 120);
const answerNode = createNode(q.answer, 'node-answer', answerX, answerY);
nodes.push(answerNode);
// Create connectors
createConnector(mainNode, questionNode);
createConnector(questionNode, answerNode);
// Add some blanks randomly
if (Math.random() > 0.7) {
addBlankToNode(answerNode);
}
});
// Make nodes draggable
makeNodesDraggable();
}
function clearMindMap() {
// Remove all nodes and connectors
nodes.forEach(node => node.remove());
connectors.forEach(connector => connector.remove());
blanks = [];
nodes = [];
connectors = [];
// Clear blanks container
blanksContainer.innerHTML = `
<div class="bg-gray-100 p-4 rounded-lg text-center w-full">
<p class="text-gray-500">Les trous que vous complétez apparaîtront ici pour vérification.</p>
</div>
`;
checkAnswersBtn.classList.add('hidden');
}
function createNode(content, className, x, y) {
const node = document.createElement('div');
node.className = `node ${className}`;
node.style.left = `${x}px`;
node.style.top = `${y}px`;
node.innerHTML = content;
mindMap.appendChild(node);
return node;
}
function createConnector(node1, node2) {
const connector = document.createElement('div');
connector.className = 'connector';
// Calculate position and dimensions
updateConnectorPosition(connector, node1, node2);
mindMap.appendChild(connector);
connectors.push(connector);
return connector;
}
function updateConnectorPosition(connector, node1, node2) {
const x1 = node1.offsetLeft + node1.offsetWidth / 2;
const y1 = node1.offsetTop + node1.offsetHeight / 2;
const x2 = node2.offsetLeft + node2.offsetWidth / 2;
const y2 = node2.offsetTop + node2.offsetHeight / 2;
const length = Math.sqrt(Math.pow(x2 - x1, 2) + Math.pow(y2 - y1, 2));
const angle = Math.atan2(y2 - y1, x2 - x1) * 180 / Math.PI;
connector.style.width = `${length}px`;
connector.style.left = `${x1}px`;
connector.style.top = `${y1}px`;
connector.style.transform = `rotate(${angle}deg)`;
}
function makeNodesDraggable() {
nodes.forEach(node => {
let isDragging = false;
let offsetX, offsetY;
node.addEventListener('mousedown', (e) => {
isDragging = true;
offsetX = e.clientX - node.getBoundingClientRect().left;
offsetY = e.clientY - node.getBoundingClientRect().top;
node.style.zIndex = 100;
node.style.cursor = 'grabbing';
});
document.addEventListener('mousemove', (e) => {
if (!isDragging) return;
const x = e.clientX - offsetX - mindMap.getBoundingClientRect().left;
const y = e.clientY - offsetY - mindMap.getBoundingClientRect().top;
node.style.left = `${x}px`;
node.style.top = `${y}px`;
// Update all connectors connected to this node
updateAllConnectors();
});
document.addEventListener('mouseup', () => {
isDragging = false;
node.style.zIndex = '';
node.style.cursor = 'move';
});
});
}
function updateAllConnectors() {
// This is a simplified version - in a real app you'd track which nodes are connected
connectors.forEach(connector => connector.remove());
connectors = [];
// Recreate connectors between main node and questions
if (nodes.length > 1) {
const mainNode = nodes[0];
for (let i = 1; i < nodes.length; i++) {
if (nodes[i].classList.contains('node-question')) {
createConnector(mainNode, nodes[i]);
// Connect question to its answer
if (i + 1 < nodes.length && nodes[i+1].classList.contains('node-answer')) {
createConnector(nodes[i], nodes[i+1]);
i++; // Skip the answer node in next iteration
}
}
}
}
}
function addQuestionNode() {
if (!currentTheme) {
alert('Veuillez sélectionner un thème d\'abord');
return;
}
const question = prompt('Entrez votre question:');
if (!question) return;
// Find main node
const mainNode = nodes[0];
if (!mainNode) return;
// Position new question node around main node
const angle = Math.random() * 2 * Math.PI;
const radius = 150;
const x = mainNode.offsetLeft + mainNode.offsetWidth / 2 + Math.cos(angle) * radius - 100;
const y = mainNode.offsetTop + mainNode.offsetHeight / 2 + Math.sin(angle) * radius - 50;
const questionNode = createNode(question, 'node-question', x, y);
nodes.push(questionNode);
createConnector(mainNode, questionNode);
makeNodesDraggable();
}
function addAnswerNode() {
const questionNodes = nodes.filter(node => node.classList.contains('node-question'));
if (questionNodes.length === 0) {
alert('Ajoutez d\'abord une question');
return;
}
// Find the last question node
const lastQuestionNode = questionNodes[questionNodes.length - 1];
const answer = prompt('Entrez la réponse:');
if (!answer) return;
// Position answer node near the question
const x = lastQuestionNode.offsetLeft + 120;
const y = lastQuestionNode.offsetTop + 120;
const answerNode = createNode(answer, 'node-answer', x, y);
nodes.push(answerNode);
createConnector(lastQuestionNode, answerNode);
makeNodesDraggable();
}
function addBlankNode() {
const answerNodes = nodes.filter(node => node.classList.contains('node-answer'));
if (answerNodes.length === 0) {
alert('Ajoutez d\'abord une réponse');
return;
}
// Add blank to the last answer node
addBlankToNode(answerNodes[answerNodes.length - 1]);
}
function addBlankToNode(node) {
const text = node.textContent;
const words = text.split(' ');
// Choose a random word (not too short)
let wordIndex;
do {
wordIndex = Math.floor(Math.random() * words.length);
} while (words[wordIndex].length < 3);
const wordToBlank = words[wordIndex];
// Replace the word with an input
words[wordIndex] = `<input type="text" class="blank-input" data-answer="${wordToBlank.toLowerCase()}" placeholder="...">`;
// Update node content
node.innerHTML = words.join(' ');
// Store blank info
blanks.push({
node: node,
answer: wordToBlank.toLowerCase(),
input: node.querySelector('.blank-input')
});
// Update blanks container
updateBlanksDisplay();
}
function updateBlanksDisplay() {
if (blanks.length === 0) {
blanksContainer.innerHTML = `
<div class="bg-gray-100 p-4 rounded-lg text-center w-full">
<p class="text-gray-500">Les trous que vous complétez apparaîtront ici pour vérification.</p>
</div>
`;
checkAnswersBtn.classList.add('hidden');
return;
}
blanksContainer.innerHTML = '';
checkAnswersBtn.classList.remove('hidden');
blanks.forEach((blank, index) => {
const blankElement = document.createElement('div');
blankElement.className = 'bg-gray-100 p-4 rounded-lg flex items-center';
blankElement.innerHTML = `
<span class="text-gray-700 mr-2">${index + 1}.</span>
<input type="text" class="flex-1 border border-gray-300 rounded px-3 py-1"
data-answer="${blank.answer}" placeholder="Votre réponse...">
<button class="ml-2 bg-blue-100 text-blue-600 px-3 py-1 rounded check-blank-btn">
<i class="fas fa-check"></i>
</button>
`;
blanksContainer.appendChild(blankElement);
// Add event listener to check button
blankElement.querySelector('.check-blank-btn').addEventListener('click', (e) => {
checkSingleBlank(e.target.closest('.bg-gray-100'));
});
});
}
function checkSingleBlank(blankElement) {
const input = blankElement.querySelector('input');
const userAnswer = input.value.trim().toLowerCase();
const correctAnswer = input.dataset.answer;
if (userAnswer === correctAnswer) {
blankElement.classList.remove('bg-gray-100');
blankElement.classList.add('bg-green-100');
input.classList.remove('border-gray-300');
input.classList.add('border-green-500');
} else {
blankElement.classList.remove('bg-gray-100');
blankElement.classList.add('bg-red-100');
input.classList.remove('border-gray-300');
input.classList.add('border-red-500');
// Show correct answer after a delay
setTimeout(() => {
input.value = correctAnswer;
}, 1000);
}
}
function checkAnswers() {
const blankInputs = blanksContainer.querySelectorAll('input');
let allCorrect = true;
blankInputs.forEach(input => {
const blankElement = input.closest('.bg-gray-100');
checkSingleBlank(blankElement);
if (input.value.trim().toLowerCase() !== input.dataset.answer) {
allCorrect = false;
}
});
if (allCorrect) {
setTimeout(() => {
alert('Félicitations ! Toutes vos réponses sont correctes.');
}, 500);
}
}
</script>
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