Pythagorean theorem and its inverse theorem reveal the quantitative relationship among the three sides of a right triangle, which embodies the mathematical idea of "number and shape are one". Pythagorean theorem and its inverse theorem are not only the important basis for solving right triangle, but also the knowledge points that must be tested in the senior high school entrance examination in various provinces and cities, and are also widely used in real life.
In the process of studying and applying the inverse theorem of Pythagorean theorem, students can be instilled with the idea of "life mathematics" in combination with the course of "Synthesis and Practice". "Curriculum Standard" points out: "The purpose of setting the content of" synthesis and practice "is to cultivate students' comprehensive application of relevant knowledge and methods to solve practical problems, cultivate students' awareness of problems, application and innovation, accumulate students' activity experience and improve their ability to solve practical problems. "
We should follow the requirements of curriculum standards and teaching ideas, flexibly use the inverse theorem of Pythagorean theorem, and closely link the application of the inverse theorem of Pythagorean theorem with real life. We should make students understand that mathematical knowledge comes from life, but it should be applied to life. Without life, there is no mathematical knowledge, and if mathematical knowledge should not be used in life, it will lose its value.
In short, the inverse theorem of Pythagorean theorem is widely used. When guiding students to apply the inverse theorem of Pythagorean theorem, we must pay attention to the methods and methods, so that students can master and use them flexibly.