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三角恒等式的证明过程,实质是消除左右两边或条件与结论的差异过程。所以,差异分析就成为三角恒等式证明的思维动因和线索;差异的类型研究以及消除不同类型的差异就形成了思维的不同线索。 线索1 由于三角函数是以角为自变量的函数,因而三角恒等式往往是某些简单已知恒等式(或特定条件式)角变换的结果,所以分析所证恒等式左右两端角的差异或条件与结论中角的差异,并由此探求恒等
The proof process of trigonometric identities is essentially the elimination of the difference between the left and right sides or the conditions and conclusions. Therefore, the difference analysis becomes the motivation and clue of the trigonometric identity. The study of the types of differences and the elimination of different types of differences form different clues to thinking. Clues 1 Since the trigonometric function is a function whose angle is an independent variable, the trigonometric identity is often the result of angular transformation of some simple known identity (or specific conditional expressions), so the differences or conditions of the left and right ends of the identity identity are analyzed. Conclusion The difference in the middle angle, and thus seek for the same