This letter is part of a three-part tutorial that focuses on joint radar-communication system design for vehicular networks. As Part I of the tutorial, this letter reviews the fundamental principles of dual-functional radar-communication from a technical perspective. First of all, we briefly introduce the background and the emerging applications of the technique. We then revisit the preliminaries of both radar and communication systems, with emphasis on the system modeling and key performance metrics. We then present the general design criteria and representative methodologies for joint radar-communication transmission in general settings, before finally focusing our study to the vehicular network which is the scope of Part II and III of this tutorial.