菱形的判定实验探究

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菱形的判定实验探究
菱形的判定实验探究

菱形的判定实验探究

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<a href="http://www.glsxkz.com">数学课栈</a><br /><!DOCTYPE html>
<html lang="zh-CN">
<head>
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0, maximum-scale=1.0, user-scalable=no">
    <title>菱形的判定实验探究</title>
    <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.0/css/all.min.css">
    <style>
        * {
            box-sizing: border-box;
            margin: 0;
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            font-family: 'Segoe UI', 'Microsoft YaHei', sans-serif;
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        body {
            background: linear-gradient(135deg, #1a2a6c, #b21f1f, #fdbb2d);
            color: #333;
            min-height: 100vh;
            padding: 10px;
            display: flex;
            justify-content: center;
            align-items: center;
            touch-action: manipulation;
        }
        
        .container {
            max-width: 100%;
            width: 100%;
            background: rgba(255, 255, 255, 0.97);
            border-radius: 16px;
            box-shadow: 0 12px 30px rgba(0, 0, 0, 0.25);
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        header {
            background: linear-gradient(to right, #2c3e50, #3498db);
            color: white;
            padding: 12px 15px;
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            border-bottom: 4px solid #e74c3c;
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        .header-content {
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        .title-container {
            display: flex;
            align-items: center;
            gap: 8px;
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        h1 {
            font-size: 1.3rem;
            margin-bottom: 4px;
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        .title-image {
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        .subtitle {
            font-size: 0.75rem;
            opacity: 0.9;
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            font-weight: 300;
            max-width: 90%;
        }
        
        .main-content {
            display: flex;
            flex-direction: column;
            gap: 12px;
            padding: 12px;
        }
        
        .game-section {
            background: #f8f9fa;
            border-radius: 14px;
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        .section-title {
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            font-size: 1.1rem;
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        .section-title i {
            margin-right: 6px;
            color: #3498db;
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        /* 游戏探究区 */
        #game-canvas-container {
            position: relative;
            width: 100%;
            height: 300px;
            background: white;
            border-radius: 8px;
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            box-shadow: 0 3px 6px rgba(0, 0, 0, 0.1);
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            touch-action: none;
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        #game-canvas {
            width: 100%;
            height: 100%;
            cursor: pointer;
        }
        
        .property-display {
            position: absolute;
            top: 8px;
            left: 50%;
            transform: translateX(-50%);
            background: rgba(52, 152, 219, 0.9);
            color: white;
            padding: 5px 10px;
            border-radius: 40px;
            font-size: 0.85rem;
            font-weight: bold;
            box-shadow: 0 3px 8px rgba(0, 0, 0, 0.2);
            text-align: center;
            z-index: 10;
            min-width: 180px;
            max-width: 90%;
            white-space: nowrap;
            overflow: hidden;
            text-overflow: ellipsis;
        }
        
        .vertex-hint {
            position: absolute;
            font-size: 12px;
            background: rgba(0,0,0,0.6);
            color: white;
            padding: 4px 8px;
            border-radius: 4px;
            z-index: 30;
            display: none;
        }
        
        .drag-hint {
            text-align: center;
            margin-top: 8px;
            font-size: 0.85rem;
            color: #3498db;
            font-weight: bold;
            padding: 0 5px;
        }
        
        .controls-container {
            display: flex;
            flex-direction: column;
            gap: 8px;
            margin-top: 8px;
        }
        
        .display-controls {
            display: flex;
            flex-wrap: wrap;
            gap: 6px;
            justify-content: center;
        }
        
        .display-btn {
            padding: 8px 10px;
            background: linear-gradient(to right, #16a085, #1abc9c);
            color: white;
            border: none;
            border-radius: 25px;
            font-size: 0.8rem;
            font-weight: bold;
            cursor: pointer;
            transition: all 0.3s;
            text-align: center;
            min-width: 100px;
            flex: 1;
        }
        
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            background: linear-gradient(to right, #27ae60, #2ecc71);
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            box-shadow: 0 2px 6px rgba(0, 0, 0, 0.15);
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        .rhombus-controls {
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            gap: 6px;
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        .control-btn {
            padding: 8px 10px;
            background: linear-gradient(to right, #3498db, #2c3e50);
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            font-weight: bold;
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            transition: all 0.3s;
            text-align: center;
            min-width: 80px;
            flex: 1;
        }
        
        .control-btn:hover, .control-btn:active {
            transform: translateY(-2px);
            box-shadow: 0 3px 8px rgba(0, 0, 0, 0.2);
        }
        
        .experiment-btns {
            display: flex;
            flex-wrap: wrap;
            gap: 6px;
            margin-top: 8px;
            justify-content: center;
        }
        
        .experiment-btn {
            flex: 1;
            padding: 9px;
            background: linear-gradient(to right, #9b59b6, #8e44ad);
            color: white;
            border: none;
            border-radius: 5px;
            font-size: 0.8rem;
            font-weight: bold;
            cursor: pointer;
            transition: all 0.3s;
            text-align: center;
            min-width: 120px;
        }
        
        .experiment-btn:hover, .experiment-btn:active {
            transform: translateY(-2px);
            box-shadow: 0 3px 8px rgba(0, 0, 0, 0.2);
        }
        
        footer {
            text-align: center;
            padding: 12px;
            background: #2c3e50;
            color: #ecf0f1;
            font-size: 0.75rem;
        }
        
        /* 定理卡片 */
        .theorem-card {
            background: #f9f9f9;
            border-radius: 8px;
            padding: 10px;
            margin: 10px 0;
            border-left: 3px solid #3498db;
            box-shadow: 0 1px 6px rgba(0,0,0,0.1);
        }
        
        .theorem-title {
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            font-weight: bold;
            margin-bottom: 6px;
            display: flex;
            align-items: center;
            gap: 6px;
            font-size: 0.9rem;
        }
        
        .theorem-content {
            color: #444;
            line-height: 1.5;
            font-size: 0.85rem;
        }
        
        /* 尝试挑战栏目样式 */
        .challenge-section {
            background: #e3f2fd;
            border-radius: 14px;
            padding: 12px;
            margin-top: 12px;
            border: 1px solid #3498db;
        }
        
        .challenge-header {
            display: flex;
            justify-content: space-between;
            align-items: center;
            margin-bottom: 12px;
            flex-wrap: wrap;
        }
        
        .difficulty-tabs {
            display: flex;
            gap: 6px;
            margin-bottom: 10px;
            flex-wrap: wrap;
        }
        
        .difficulty-tab {
            padding: 5px 10px;
            border-radius: 18px;
            cursor: pointer;
            background: #f1f1f1;
            border: 1px solid #ddd;
            transition: all 0.3s;
            font-size: 0.85rem;
        }
        
        .difficulty-tab.active {
            background: #3498db;
            color: white;
            border-color: #3498db;
        }
        
        .question-card {
            background: white;
            padding: 10px;
            border-radius: 8px;
            box-shadow: 0 2px 6px rgba(0,0,0,0.1);
            margin-bottom: 10px;
        }
        
        .options {
            display: grid;
            grid-template-columns: 1fr;
            gap: 6px;
            margin: 10px 0;
        }
        
        .option {
            padding: 9px;
            border: 2px solid #ddd;
            border-radius: 7px;
            cursor: pointer;
            transition: all 0.3s;
            text-align: center;
            font-size: 0.85rem;
        }
        
        .option:hover, .option:active {
            background: #f1f1f1;
        }
        
        .option.selected {
            background: #3498db;
            color: white;
            border-color: #3498db;
        }
        
        .submit-btn {
            background: linear-gradient(to right, #2ecc71, #27ae60);
            color: white;
            border: none;
            padding: 9px 12px;
            font-size: 0.85rem;
            border-radius: 4px;
            cursor: pointer;
            transition: all 0.3s;
            display: block;
            margin: 8px auto;
            box-shadow: 0 2px 6px rgba(0, 0, 0, 0.12);
            width: 100%;
            max-width: 160px;
            font-weight: bold;
        }
        
        .submit-btn:hover, .submit-btn:active {
            transform: translateY(-2px);
            box-shadow: 0 4px 10px rgba(0, 0, 0, 0.18);
        }
        
        .feedback {
            padding: 7px;
            border-radius: 7px;
            margin-top: 7px;
            text-align: center;
            font-weight: bold;
            display: none;
            font-size: 0.85rem;
        }
        
        .correct {
            background: #d4edda;
            color: #155724;
            border: 2px solid #c3e6cb;
        }
        
        .incorrect {
            background: #f8d7da;
            color: #721c24;
            border: 2px solid #f5c6cb;
        }
        
        .theorems-container {
            display: block;
            transition: all 0.5s ease;
        }
        
        /* 顶点标签 - 优化位置 */
        .vertex-label {
            position: absolute;
            font-size: 16px;
            font-weight: bold;
            z-index: 15;
            color: #2c3e50;
            background: rgba(255, 255, 255, 0.85);
            border-radius: 4px;
            padding: 2px 6px;
            pointer-events: none;
            transform: translate(-50%, -50%);
            text-shadow: 0 0 3px rgba(255, 255, 255, 0.8);
            box-shadow: 0 1px 3px rgba(0,0,0,0.1);
            min-width: 24px;
            text-align: center;
        }
        
        /* 模态框样式 */
        .modal {
            display: none;
            position: fixed;
            top: 0;
            left: 0;
            width: 100%;
            height: 100%;
            background: rgba(0,0,0,0.7);
            z-index: 1000;
            justify-content: center;
            align-items: center;
        }
        
        .modal-content {
            background: white;
            border-radius: 14px;
            width: 90%;
            max-width: 500px;
            max-height: 80vh;
            overflow-y: auto;
            padding: 18px;
            position: relative;
            box-shadow: 0 15px 30px rgba(0,0,0,0.3);
        }
        
        .close-modal {
            position: absolute;
            top: 8px;
            right: 8px;
            font-size: 22px;
            color: #777;
            cursor: pointer;
            transition: color 0.3s;
        }
        
        .close-modal:hover, .close-modal:active {
            color: #e74c3c;
        }
        
        .modal-title {
            color: #2c3e50;
            margin-bottom: 12px;
            text-align: center;
            font-size: 1.2rem;
            display: flex;
            align-items: center;
            justify-content: center;
            gap: 8px;
        }
        
        .modal-content h3 {
            color: #3498db;
            margin: 10px 0 6px;
            padding-bottom: 4px;
            border-bottom: 2px solid #3498db;
            font-size: 1.05rem;
        }
        
        .modal-content ul {
            padding-left: 18px;
            margin-bottom: 10px;
        }
        
        .modal-content li {
            margin-bottom: 6px;
            line-height: 1.5;
            font-size: 0.9rem;
        }
        
        .modal-content p {
            margin-bottom: 10px;
            line-height: 1.5;
            font-size: 0.9rem;
        }
        
        .math-formula {
            background: #f8f9fa;
            border-left: 3px solid #3498db;
            padding: 8px 12px;
            margin: 10px 0;
            font-style: italic;
            font-size: 0.85rem;
        }
        
        .experiment-highlight {
            background: #e3f2fd;
            padding: 8px;
            border-radius: 7px;
            margin: 10px 0;
            border-left: 3px solid #3498db;
            font-size: 0.85rem;
        }
        
        /* 触摸反馈 */
        .touch-feedback {
            position: absolute;
            width: 40px;
            height: 40px;
            border-radius: 50%;
            background: rgba(231, 76, 60, 0.3);
            transform: translate(-50%, -50%) scale(0);
            pointer-events: none;
            z-index: 20;
            animation: touchEffect 0.5s ease-out;
        }
        
        @keyframes touchEffect {
            to {
                transform: translate(-50%, -50%) scale(1.5);
                opacity: 0;
            }
        }
        
        /* 手机端优化 */
        @media (max-width: 480px) {
            h1 {
                font-size: 1.2rem;
            }
            
            #game-canvas-container {
                height: 280px;
            }
            
            .display-btn {
                padding: 8px;
                font-size: 0.75rem;
                min-width: 90px;
            }
            
            .control-btn {
                padding: 7px;
                font-size: 0.75rem;
                min-width: 70px;
            }
            
            .experiment-btn {
                min-width: 110px;
                font-size: 0.75rem;
                padding: 8px;
            }
            
            .vertex-label {
                font-size: 15px;
                padding: 1px 4px;
            }
            
            .section-title {
                font-size: 1.05rem;
            }
            
            .theorem-title {
                font-size: 0.85rem;
            }
            
            .theorem-content {
                font-size: 0.8rem;
            }
        }
        
        /* 防止按钮在移动设备上被长按时出现默认菜单 */
        button {
            -webkit-touch-callout: none;
            -webkit-user-select: none;
            -moz-user-select: none;
            -ms-user-select: none;
            user-select: none;
        }
    </style>
</head>
<body>
    <div class="container">
        <header>
            <div class="header-content">
                <div class="title-container">
                    <h1>菱形的判定实验探究 </h1> 
 <img src="data:image/jpeg;base64,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" 
                 class="title-image">

<div class="title-image"></div>
                </div>
                <p class="subtitle">实验目的：探究啥样的图形才算是菱形？</p>
            </div>
        </header>
        
        <div class="main-content">
            
            <div class="game-section">
                <h2 class="section-title"><i class="fas fa-ruler-combined"></i> 实验探究</h2>
                
                <div id="game-canvas-container">
                    <canvas id="game-canvas"></canvas>
                    <div class="property-display" id="property-display">菱形特性验证中...</div>
                    <div class="vertex-hint" id="vertex-hint">拖动顶点</div>
                    
                    
                    <div class="vertex-label" id="label-A">A</div>
                    <div class="vertex-label" id="label-B">B</div>
                    <div class="vertex-label" id="label-C">C</div>
                    <div class="vertex-label" id="label-D">D</div>
                </div>
                
                <div class="drag-hint">
                    <i class="fas fa-hand-pointer"></i> 点击并拖动A、B、C、D四个顶点
                </div>
                
                <div class="controls-container">
                    <div class="display-controls">
                        <button class="display-btn active" id="btn-show-sides">
                            <i class="fas fa-ruler"></i> 显示边长
                        </button>
                        <button class="display-btn active" id="btn-show-diagonals">
                            <i class="fas fa-grip-lines"></i> 显示对角线
                        </button>
                        <button class="display-btn active" id="btn-show-vertices">
                            <i class="fas fa-font"></i> 显示顶点标签
                        </button>
                    </div>
                    
                    <div class="rhombus-controls">
                        <button class="control-btn" id="btn-reset">
                            <i class="fas fa-redo"></i> 重置
                        </button>
                        <button class="control-btn" id="btn-square">
                            <i class="fas fa-square"></i> 正方形
                        </button>
                        <button class="control-btn" id="btn-random">
                            <i class="fas fa-random"></i> 随机菱形
                        </button>
                    </div>
                    
                    <div class="experiment-btns">
                        <button class="experiment-btn" id="btn-instructions">
                            <i class="fas fa-info-circle"></i> 实验说明
                        </button>
                        <button class="experiment-btn" id="btn-conclusion">
                            <i class="fas fa-lightbulb"></i> 实验结论
                        </button>
                    </div>
                </div>
                
                
                <div class="challenge-section">
                    <div class="challenge-header">
                        <h2><i class="fas fa-graduation-cap"></i> 尝试挑战</h2>
                        <div class="difficulty-tabs">
                            <div class="difficulty-tab active" data-level="1">初级</div>
                            <div class="difficulty-tab" data-level="2">中级</div>
                            <div class="difficulty-tab" data-level="3">高级</div>
                        </div>
                    </div>
                    
                    
                    <div class="question-card" id="question-level-1">
                        <h3>初级问题</h3>
                        <p>下列哪个图形一定是菱形？</p>
                        <div class="options">
                            <div class="option" data-value="A">四条边相等的四边形</div>
                            <div class="option" data-value="B">四个角都是直角的四边形</div>
                            <div class="option" data-value="C">对角线相等的四边形</div>
                            <div class="option" data-value="D">邻边相等的四边形</div>
                        </div>
                        <button class="submit-btn" data-level="1">提交答案</button>
                        <div class="feedback" id="feedback-level-1"></div>
                    </div>
                    
                    
                    <div class="question-card" id="question-level-2" style="display:none;">
                        <h3>中级问题</h3>
                        <p>四边形ABCD中，AB=BC=CD=DA，AC⊥BD，则这个四边形是：</p>
                        <div class="options">
                            <div class="option" data-value="A">矩形</div>
                            <div class="option" data-value="B">菱形</div>
                            <div class="option" data-value="C">正方形</div>
                            <div class="option" data-value="D">梯形</div>
                        </div>
                        <button class="submit-btn" data-level="2">提交答案</button>
                        <div class="feedback" id="feedback-level-2"></div>
                    </div>
                    
                    
                    <div class="question-card" id="question-level-3" style="display:none;">
                        <h3>高级问题</h3>
                        <p>下列命题中，正确的是：</p>
                        <div class="options">
                            <div class="option" data-value="A">对角线相等的四边形是菱形</div>
                            <div class="option" data-value="B">对角线互相垂直的四边形是菱形</div>
                            <div class="option" data-value="C">对角线互相垂直平分的四边形是菱形</div>
                            <div class="option" data-value="D">对角线互相平分的四边形是菱形</div>
                        </div>
                        <button class="submit-btn" data-level="3">提交答案</button>
                        <div class="feedback" id="feedback-level-3"></div>
                    </div>
                </div>
            </div>
        </div>
        
        <footer>
            <p>菱形的判定实验探究 | 2025@数学课栈动感积件研究室</p>
        </footer>
    </div>

<div class="modal" id="instructions-modal">
        <div class="modal-content">
            <span class="close-modal">×</span>
            <h2 class="modal-title"><i class="fas fa-info-circle"></i> 实验说明</h2>
            
            <div class="info-panel">
                <p>本实验旨在通过交互式探究，验证并理解菱形的几何特性：</p>
                
                <div class="experiment-highlight">
                    <h3>操作指南：</h3>
                    <ol>
                        <li><strong>拖动顶点改变菱形形状</strong>：点击并拖动A、B、C、D四个顶点，观察菱形形状的变化</li>
                        <li><strong>观察边长是否保持相等</strong>：注意四条边的长度变化关系</li>
                        <li><strong>验证对角线是否垂直平分</strong>：观察两条对角线的位置关系和交点特征</li>
                        <li><strong>使用按钮切换显示/隐藏信息</strong>：根据需要显示或隐藏边长、对角线、顶点标签等信息</li>
                    </ol>
                </div>
            </div>
        </div>
    </div>

<div class="modal" id="conclusion-modal">
        <div class="modal-content">
            <span class="close-modal">×</span>
            <h2 class="modal-title"><i class="fas fa-lightbulb"></i> 实验结论</h2>
            
            <div class="info-panel">
                <p>通过实验探究，我们可以得出以下菱形判定定理：</p>
                
                <div class="theorem-card">
                    <div class="theorem-title">
                        <i class="fas fa-1"></i> 四条边相等的四边形
                    </div>
                    <div class="theorem-content">
                        如果一个四边形的四条边长度都相等，那么这个四边形是菱形。
                    </div>
                </div>
                
                <div class="theorem-card">
                    <div class="theorem-title">
                        <i class="fas fa-2"></i> 对角线互相垂直的平行四边形
                    </div>
                    <div class="theorem-content">
                        如果一个平行四边形的两条对角线互相垂直，那么这个平行四边形是菱形。
                    </div>
                </div>
                
                <div class="theorem-card">
                    <div class="theorem-title">
                        <i class="fas fa-3"></i> 邻边相等的平行四边形
                    </div>
                    <div class="theorem-content">
                        如果一个平行四边形有一组邻边相等，那么这个平行四边形是菱形。
                    </div>
                </div>
                
                <div class="experiment-highlight">
                    <p><i class="fas fa-lightbulb"></i> 核心结论：菱形是特殊的平行四边形，具有所有平行四边形的性质，同时具有独特的对称性和对角线特性。</p>
                </div>
            </div>
        </div>
    </div>