The teaching linking problems between university mathematics and high school mathematics become more and more serious because of the new curriculum implementation. Explores the teaching linking problems from aspects of teaching content and mathematical thoughts: the teaching contents of university math should simplify the repetitive contents in high school math, supplement the contents that deleted in high school and strengthen the applied content teaching; mathematical ideas and methods should strengthen the penetration of modern mathematical sense, and focus on the introduction of a variety of mathematical software and applications.