used to stress that something is true, especially when it's surprising
As a matter of fact, I was just about to call you.
事实上,我正要给你打电话。
used to add more information or correct something
He's not just a good player; as a matter of fact, he's the best in the league.
他不仅是个好球员;事实上,他是联盟中最好的。