feat: 完善课程直播页面和首页Dashboard数据同步

- 修复6月17日单元小结归属问题，正确归入商业设计基础单元
- 添加单元海报功能，非直播状态显示单元海报图片
- 更新首页Dashboard开始上课和当日事项板块数据
- 实现课程数据与Dashboard数据自动同步
- 优化课程列表显示，包含完整100门课程数据

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <noreply@anthropic.com>

src/pages/LivePage/index.jsx

@@ -1,15 +1,23 @@
+import { useState } from "react";
 import CoursesVideoPlayer from "@/components/CoursesVideoPlayer";
 import CourseList from "@/components/CourseList";
 import StageProgress from "@/components/StageProgress";
+import { mockData } from "@/data/mockData";
 import "./index.css";
 
 const LivePage = () => {
+  const [selectedCourse, setSelectedCourse] = useState(null);
+
+  const handleCourseClick = (course) => {
+    setSelectedCourse(course);
+  };
+
   return (
     <div className="live-page">
       <StageProgress />
       <div className="live-page-content">
-        <CoursesVideoPlayer />
-        <CourseList />
+        <CoursesVideoPlayer selectedCourse={selectedCourse} teacherData={mockData.teacherData} unitPosters={mockData.unitPosters} />
+        <CourseList onCourseClick={handleCourseClick} />
       </div>
     </div>
   );