1. China cultural background of Pythagorean theorem teaching plan research: Pythagorean theorem is the root of China's geometry, and the emergence and development of China's mathematical essence, such as squares, equations, celestial bodies and other skills, are closely related to Pythagorean theorem.

2. Western cultural background of Pythagorean theorem teaching plan research: In the west, Pythagorean school discovered "irrational numbers that are incommensurable with rational numbers". Pythagorean theorem, as a measure of Euclidean space, has written a new chapter for the perfection and development of geometric axiom system through deductive reasoning.