在做代数证明题时,很多学生常常出现问题.本文以三角代换在代数证明题中的应用说明解决代数证明题的思路,并说明学生在做题时需要注意的关键.一、三角代换在代数证明题应用的意义高中数学人教版的教材中的代数计算问题比例很大,比如函数计算、数列计算、导数计算、三角函数计算、参数方程计算等都涉及代数的知识.代数证明题要求学生能用逻辑严密、理论清晰的方法说明条件和结论之间的因果.许多高中生对做证明题存在一个误区,认为代数的本质就是计算,自己只要有过硬的计算能力就能做好证明题.然而解题的过程中,他们会发现即使拥有好的计算能力,自己似乎也很难证明因果之间的关系;有时他们做计算时会把代数题弄得非常复杂,他们自己都被复杂的计算过程搅 When doing algebraic proof questions, many students often have problems.This paper uses the application of trigonometry substitution in algebraic proofs to illustrate the idea of ​​solving algebraic proofs, and illustrates the key points that students need to pay attention to when making questions. The significance of the application of algebra proves that high school mathematics teaching in the textbook algebraic calculation of a large proportion of issues, such as function calculation, sequence calculation, derivative calculation, trigonometric function calculation, parametric equation algebra and other knowledge are involved. Students are required to explain the causal relations between conditions and conclusions in a rigorous and theoretically clear way.Many high school students have a misunderstanding about their proofs and believe that the essence of algebra is calculation and that they can prove themselves as long as they have excellent calculation ability However, in the process of solving the problem, they will find it very difficult to prove their causal relationship even with good computational power. Sometimes they make algebraic problems complicated and they themselves are complicated The calculation process of mixing