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在高中数学教材以及一些中学数学书刊中,经常会遇到三角数列和、积等式证明问题。由于受代数数列等式证明定势的影响,学生往往不习惯于三角函数等式证明,常常感到困难,无从下手。下面将通过例举的形式简要介绍三角数列和、积等式证明的一些常用方法。一、归纳法通常与自然数n有关的有三角数列和、积等式证明问题,常可凭借数学归纳法得以解决。例1 (高中代数甲种本第一册220页第40题(2))求证
In the high school mathematics textbooks and in some middle school mathematics books and periodicals, it is often the case that there are problems with the proof of triangular sums and product equations. Due to the influence of the fixed potential by the algebraic sequence, students are often not accustomed to the trigonometric function equations. They often feel difficult and have no way to start. In the following, some common methods for the proof of the triangular series sums and product equations will be briefly introduced in the form of examples. First, the inductive method is usually associated with the natural number n has a triangular series of sums and product equations to prove the problem, often by virtue of mathematical induction can be resolved. Case 1 (High School Algebra Algebra Type A 220 Questions 40 (2)) Proof