不可数名词前面如果有形容词的修饰,那前面能加冠词吗?

举个例子吧,news
应说 a piece of news
a piece of good news
但可以加定冠词,the news 指有所指的,说话的人和听众都知道的那个新闻.这是用 the news.
He said he had a piece of good news and he told everybody the news.