论文部分内容阅读
《中学数学》一九八四年第二期王存仁同志的“关于asina+bcosa=(a~2+b~2)~(1/2)sin(α+)中的确定”一文,谈了对新编高中数学教材第一册关于asina+bcosa=(a~2+b~2)~(1/2)sin(a+)中的确定的新结论的理解,并举实例进行说明,无疑是正确的,这个问题是在三角恒等变形中,学生应该很好掌握的一项基本技能,应加以重视。但学生在学习过程中,对辅助角的确定往往出错。本人在教学中,对辅助角的确定采用数形合一的方法,利用直角三角形去确定,颇受学生欢迎,方法是:
Comrade Wang Cunren’s “On the determination of asina+bcosa=(a~2+b~2)~(1/2)sin(α+)” in the second issue of “Middle School Mathematics” in 1984 talks about The first volume of the new high school mathematics textbook is about the understanding of the new conclusions in asina+bcosa=(a~2+b~2)~(1/2)sin(a+). It is undoubtedly correct to give an example to explain. This question is a basic skill that should be well mastered by students in the trigonometric equalization and should be taken seriously. However, students often make mistakes in determining the assistant angle during the learning process. In teaching, I decided to use the method of number and unity in the determination of the assistant angle, using the right-angle triangle to determine, and it is popular among students. The methods are: