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AI赋能高中物理课堂教学配速法交互仿真课件的制作

  • 2026-10-01 04:20:16
AI赋能高中物理课堂教学配速法交互仿真课件的制作
【角色】请你扮演专业前端开发工程师,根据下面的需求编写单文件HTML代码:
【背景】展示一道高中物理磁场动力学计算题:
空间存在垂直纸面向里的匀强磁场,磁感应强度为 B。质量为 m、带电量为 +q 的带电小球,从原点 O 由静止释放。已知小球运动轨迹最低点的曲率半径等于该点纵坐标的2倍,重力加速度为 g。配图为带垂直向里磁场的xy坐标系,小球从O出发向下弯曲运动。设问:(1) 小球下落任意高度 y 时的速率 v;(2) 小球第一次到达最低点的下落高度 y_m。
【任务】制作静态HTML网页完整呈现该物理题
【要求】
1. 页面分标题区、题干文字区、题图绘制区、问题区四个部分,用header、main、section语义化标签布局;
2. 内嵌CSS,页面内容居中、卡片式白底设计,柔和浅灰页面背景,行高1.6,字体用系统无衬线字体;
3. 引入MathJax的CDN,所有物理公式、变量用LaTeX语法书写渲染;
4. 用div+CSS简易绘制题图:xy坐标轴、叉号代表磁场、小球下凸运动轨迹,标注原点O和点P(x,y);
5. 代码添加清晰注释,仅保留公式渲染所需脚本,不做多余交互功能。
【约束】
1. 所有代码写在一个HTML文件内,不引用本地资源;
2. 严格照搬原题文字内容,不得修改题干条件;
3. 配色简约学术风,只用黑白灰色系;
4. 代码格式规范缩进整齐,打开即可正常浏览。
从角色,背景,任务,要求,约束五个角度给deepsek写提示词,让deepsek生成一个HTML文件的代码,然后把代码发送给HTML文件编辑器。
配速法交互课件代码
<!DOCTYPE html>
<html lang="zh-CN">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <title>磁场中的带电小球运动 · 原题</title>
  <!-- MathJax 配置:支持 \( \) 行内公式与 $$ $$ 行间公式 -->
  <script>
    window.MathJax = {
      tex: {
        inlineMath: [['\\(', '\\)'], ['$', '$']],
        displayMath: [['$$', '$$'], ['\\[', '\\]']]
      },
      options: {
        skipHtmlTags: ['script', 'noscript', 'style', 'textarea', 'pre']
      }
    };
  </script>
  <!-- 仅保留公式渲染所需的脚本 -->
  <script async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
  <style>
    /* ==================== 全局基础样式 ==================== */
    * {
      box-sizing: border-box;
    }
    html,
    body {
      margin: 0;
      padding: 0;
    }
    body {
      padding: 32px 16px 56px;
      background: #f3f3f5;                 /* 柔和浅灰页面背景 */
      color: #1b1b1b;
      font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", "PingFang SC",
                   "Hiragino Sans GB", "Microsoft YaHei", "Helvetica Neue", Arial, sans-serif;
      font-size: 16px;
      line-height: 1.6;
      -webkit-font-smoothing: antialiased;
    }
    /* ==================== 卡片容器:标题区 / 主内容区 ==================== */
    header,
    main {
      max-width: 760px;
      margin-left: auto;
      margin-right: auto;
      background: #ffffff;
      border: 1px solid #e4e4e4;
      border-radius: 12px;
      box-shadow: 0 2px 10px rgba(0, 0, 0, 0.04);
    }
    header {
      padding: 22px 30px;
      margin-bottom: 16px;
    }
    header h1 {
      margin: 0;
      font-size: 22px;
      font-weight: 700;
      letter-spacing: 3px;
      color: #111111;
    }
    main {
      padding: 8px 30px 30px;
    }
    /* 各分区间用虚线分隔 */
    section + section {
      margin-top: 26px;
      padding-top: 26px;
      border-top: 1px dashed #dcdcdc;
    }
    /* ==================== 题干文字区 ==================== */
    .stem p {
      margin: 0;
      text-indent: 2em;
      text-align: justify;
      color: #1b1b1b;
    }
    /* ==================== 题图绘制区 ==================== */
    .figure-scroll {
      overflow-x: auto;
      padding: 4px 0 8px;
    }
    .figure-box {
      position: relative;
      width: 560px;
      height: 400px;
      margin: 0 auto;
      background: #ffffff;
      border: 1px solid #e0e0e0;
      border-radius: 8px;
      overflow: hidden;
    }
    /* 磁场区域:用重复的 SVG 叉号(×)表示垂直纸面向里的匀强磁场 */
    .field {
      position: absolute;
      inset: 0;
      background-image: url("data:image/svg+xml,%3Csvg xmlns='http://www.w3.org/2000/svg' width='56' height='50'%3E%3Cg stroke='%239a9a9a' stroke-width='1.6' stroke-linecap='round'%3E%3Cline x1='22' y1='19' x2='34' y2='31'/%3E%3Cline x1='34' y1='19' x2='22' y2='31'/%3E%3C/g%3E%3C/svg%3E");
      background-size: 56px 50px;
      background-repeat: repeat;
    }
    /* ---------- x 轴(水平,向右为正) ---------- */
    .axis-x {
      position: absolute;
      left: 0;
      right: 0;
      top: 180px;
      height: 1px;
      background: #333333;
    }
    .axis-x::after {
      content: "";
      position: absolute;
      right: -1px;
      top: -4px;
      width: 0;
      height: 0;
      border-left: 10px solid #333333;
      border-top: 5px solid transparent;
      border-bottom: 5px solid transparent;
    }
    /* ---------- y 轴(竖直,向下为正,箭头朝下) ---------- */
    .axis-y {
      position: absolute;
      top: 0;
      bottom: 0;
      left: 90px;
      width: 1px;
      background: #333333;
    }
    .axis-y::after {
      content: "";
      position: absolute;
      bottom: -1px;
      left: 50%;
      transform: translateX(-50%);
      width: 0;
      height: 0;
      border-top: 10px solid #333333;
      border-left: 5px solid transparent;
      border-right: 5px solid transparent;
    }
    /* ---------- 小球运动轨迹:下凸的椭圆弧 ---------- */
    .trajectory {
      position: absolute;
      left: 90px;          /* 从原点 O 出发 */
      top: 180px;          /* 起点落在 x 轴上 */
      width: 300px;
      height: 170px;
      border: 2px solid transparent;
      border-bottom: 2px solid #333333;      /* 只显示底边,形成下凸弧线 */
      border-radius: 0 0 50% 50% / 0 0 100% 100%;
    }
    /* ---------- 图内文字标注 ---------- */
    .tag {
      position: absolute;
      font-size: 15px;
      line-height: 1;
      color: #1b1b1b;
      white-space: nowrap;
      background: rgba(255, 255, 255, 0.75);  /* 避免与叉号重叠时看不清 */
      padding: 1px 3px;
      border-radius: 3px;
    }
    .tag-o { left: 64px;  top: 152px; }
    .tag-x { left: 534px; top: 150px; }
    .tag-y { left: 100px; top: 372px; }
    .tag-b { left: 288px; top: 88px;  }
    .tag-p { left: 126px; top: 310px; font-style: italic; }
    /* ==================== 问题区 ==================== */
    .questions h2 {
      margin: 0 0 10px;
      font-size: 16px;
      font-weight: 700;
      color: #111111;
    }
    .question-list {
      margin: 0;
      padding-left: 26px;
      color: #1b1b1b;
    }
    .question-list li {
      margin-bottom: 8px;
      text-align: justify;
    }
    .question-list li:last-child {
      margin-bottom: 0;
    }
  </style>
</head>
<body>
  <!-- ==================== 标题区 ==================== -->
  <header>
    <h1>原题</h1>
  </header>
  <!-- ==================== 主内容 ==================== -->
  <main>
    <!-- 题干文字区 -->
    <section class="stem">
      <p>
        空间存在垂直纸面向里的匀强磁场,磁感应强度为 \(B\)。质量为 \(m\)、带电量为 \(+q\) 的带电小球,
        从原点 \(O\) 由静止释放。已知小球运动轨迹最低点的曲率半径等于该点纵坐标的 \(2\) 倍,
        重力加速度为 \(g\)。
      </p>
    </section>
    <!-- 题图绘制区 -->
    <section class="figure">
      <div class="figure-scroll">
        <div class="figure-box">
          <!-- 匀强磁场:垂直纸面向里的叉号阵列 -->
          <div class="field"></div>
          <!-- 坐标轴 -->
          <div class="axis-x"></div>
          <div class="axis-y"></div>
          <!-- 小球运动轨迹(从 O 出发向下弯曲) -->
          <div class="trajectory"></div>
          <!-- 图内标注 -->
          <span class="tag tag-o">O</span>
          <span class="tag tag-x">x</span>
          <span class="tag tag-y">y</span>
          <span class="tag tag-b">B</span>
          <span class="tag tag-p">P(x, y)</span>
        </div>
      </div>
    </section>
    <!-- 问题区 -->
    <section class="questions">
      <h2>求:</h2>
      <ol class="question-list">
        <li>小球下落任意高度 \(y\) 时的速率 \(v\);</li>
        <li>小球第一次到达最低点的下落高度 \(y_m\)。</li>
      </ol>
    </section>
  </main>
</body>
</html>
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  1. 请求信息 : 2026-10-02 13:33:44 HTTP/1.1 GET : http://a.sjds.net/a/532520.html
  2. 运行时间 : 0.080517s [ 吞吐率:12.42req/s ] 内存消耗:4,405.80kb 文件加载:140
  3. 缓存信息 : 0 reads,0 writes
  4. 会话信息 : SESSION_ID=d197e454b0b0e8c21a414fb2a3d67a1a
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  1. CONNECT:[ UseTime:0.000623s ] mysql:host=172.18.0.4;port=3306;dbname=a_sjds;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001190s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000476s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000535s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000596s ]
  6. SELECT * FROM `set` [ RunTime:0.000341s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000700s ]
  8. SELECT * FROM `article` WHERE `id` = 532520 LIMIT 1 [ RunTime:0.000422s ]
  9. UPDATE `article` SET `lasttime` = 1790919224 WHERE `id` = 532520 [ RunTime:0.001971s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.000330s ]
  11. SELECT * FROM `article` WHERE `id` < 532520 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000510s ]
  12. SELECT * FROM `article` WHERE `id` > 532520 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000495s ]
  13. SELECT * FROM `article` WHERE `id` < 532520 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.000737s ]
  14. SELECT * FROM `article` WHERE `id` < 532520 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000610s ]
  15. SELECT * FROM `article` WHERE `id` < 532520 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.000615s ]
0.090397s