feat: select school terms and smooth refractive Dock motion

mobile/lib/app/hepan_app.dart

@@ -136,12 +136,19 @@ class _ShellState extends State<_Shell> with WidgetsBindingObserver {
     }
   }
 
-  void _school({bool exams = false}) {
+  void _school({bool exams = false, bool chooseTerm = false}) {
     if (widget.schoolBuilder != null) {
+      final term = widget.controller.snapshot.schoolTerm;
       if (exams) {
-        widget.school?.openExams();
+        widget.school?.openExams(
+          term: term,
+          chooseTerm: chooseTerm || term == null,
+        );
       } else {
-        widget.school?.openTimetable();
+        widget.school?.openTimetable(
+          term: term,
+          chooseTerm: chooseTerm || term == null,
+        );
       }
       Navigator.push(
         context,
@@ -272,7 +279,10 @@ class _ShellState extends State<_Shell> with WidgetsBindingObserver {
                         child: TabDeck(
                           index: _tab,
                           children: [
-                            TimetablePage(controller: widget.controller),
+                            TimetablePage(
+                              controller: widget.controller,
+                              onSync: _school,
+                            ),
                             ExamsPage(
                               controller: widget.controller,
                               onSync: () {
@@ -282,6 +292,7 @@ class _ShellState extends State<_Shell> with WidgetsBindingObserver {
                             ProfilePage(
                               controller: widget.controller,
                               onLogin: _school,
+                              onUpdateTerm: () => _school(chooseTerm: true),
                               authStatus: widget.school?.statusLabel ?? '未登录',
                               logoutLabel: widget.school?.logoutFailed == true
                                   ? '重试退出学校登录'