Study Of The Sine Theorem Of "Reconstructing Triangle" In Plane Geometry

In junior high school mathematics,learn geometry before learning triangle arrangement has three regrets: one is hard geometry;The second is wronged triangle;The third is the neglect of algebra.In this paper,based on the elementary school mathematics knowledge,the triangle is reconstructed,namely,the unit diamond area is defined as sine,and then the sine theorem is automatically derived.By introducing algebraic tools from the development of trigonometry and exploring geometry,associating algebra,geometry and trigonometry,we can make up for the three regrets above.This paper designs the teaching design of the sine theorem of "reconstruction triangle" in plane geometry,analyzes and expounds its theoretical value,application example and application value,and carries on the teaching experiment research.According to the relevant literature and teaching experiments of the sinusoidal theorem of "reconstruction triangle",it shows that: 1.Compared with the traditional definition,it is more intuitive,more rigorous,more general,and more acceptable to students.2.The reconstruction of the sine theorem of trigonometry makes algebra and geometry more closely related,and improves students’ interest and motivation in learning.3.The reconstruction of the sine theorem of the triangle improves students’ academic performance,improves their spatial concept,geometric intuition and reasoning ability,helps students establish model ideas,and further strengthens their sense of application and innovation,thus enhancing their core literacy to a certain extent.