Some demonstrations of the Euler line in the mathematics curriculum of general education

Abstract

In this paper, we introduce ways to demonstrate the Euler line in a triangle, subject to the sequence of mathematics knowledge designed in the current Mathematics curriculum of general education. Drawing on different sources of reference, we refine and supplement the existing
contents so as to suit each grade level from the 6th to the 12th. Thereby, we proposed some advanced problems and their detailed solutions related to some ways of proving the three collinearity points. The obtained results help students have an overview of the Euler line with several different approaches.