的任务.IsCancelled不起作用

我有以下示例代码:

static class Program
{
    static void Main()
    {
        var cts = new CancellationTokenSource();
        var task = Task.Factory.StartNew(
            () =>
                {
                    try
                    {
                        Console.WriteLine("Task: Running");
                        Thread.Sleep(5000);
                        Console.WriteLine("Task: ThrowIfCancellationRequested");
                        cts.Token.ThrowIfCancellationRequested();
                        Thread.Sleep(2000);
                        Console.WriteLine("Task: Completed");
                    }
                    catch (Exception exception)
                    {
                        Console.WriteLine("Task: " + exception.GetType().Name);
                        throw;
                    }
                }).ContinueWith(t => Console.WriteLine("ContinueWith: cts.IsCancellationRequested = {0}, task.IsCanceled = {1}, task.Exception = {2}", cts.IsCancellationRequested, t.IsCanceled, t.Exception == null ? "null" : t.Exception.GetType().Name));
        Thread.Sleep(1000);
        Console.WriteLine("Main: Cancel");
        cts.Cancel();
        try
        {
            Console.WriteLine("Main: Wait");
            task.Wait();
        }
        catch (Exception exception)
        {
            Console.WriteLine("Main: Catch " + exception.GetType().Name);
        }
        Console.WriteLine("Main: task.IsCanceled = {0}", task.IsCanceled);
        Console.WriteLine("Press any key to exit...");
        Console.ReadLine();
    }
}

输出为:

<
• 任务:运行/gh>
• 主要:取消
• 主要:等
• 任务:ThrowIfCancellationRequested
• 任务:OperationCanceledException
• ContinueWith: cts。IsCancellationRequested = True，任务。IsCanceled = False，任务。Exception = AggregateException
• :主要任务。IsCanceled = False
• 按任意键退出…

如果我删除ContinueWith，那么输出是:

<
• 任务:运行/gh>
• 主要:取消
• 主要:等
• 任务:ThrowIfCancellationRequested
• 任务:OperationCanceledException
• Main: Catch AggregateException
• :主要任务。IsCanceled = False
• 按任意键退出…

我不明白，为什么任务。IsCanceled在两种情况下都返回false ?

为什么只在没有ContinueWith的情况下才重新抛出异常?

---

我想要实现的是一个统一和简单的方式来等待任务完成和一个属性，将表明任务是否被取消。