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1.引言关于反三角函数的教学,目前有两种不同的意见,一种主张讨论反三角函数的多值性,另一种主张讨论反三角函数的单值性。这就牵涉到函数的定义的问题,如果在代数课中定义函数时,只研究它的单值性,那末讲反三角函数也可以只讨论单值性,在前后的教学过程中,应采用一致的概念,以免引起学生的混乱思想。事实上,客观存在着单值函数和多值函数,因此采用任何一种意见进行教学,都没有违背科科性。但是为了大中学教学的紧密卸接,目前高等学校所采用的数
1. INTRODUCTION There are currently two different opinions on the teaching of inverse trigonometric functions. One advocates the discussion of the multivalued nature of the inverse trigonometric function, and the other advocates the discussion of the singular value of the inverse trigonometric function. This involves the definition of a function. If the function is defined in an algebra class and only the singularity of the function is studied, then the inverse trigonometric function can also be used to discuss only the singular value. In the teaching process before and after, it should be consistent. Concept so as not to cause student confusion. In fact, there are objectively single-valued functions and multi-valued functions. Therefore, the use of any kind of advice for teaching does not violate the nature of science. However, for the sake of the close connection of teaching in middle schools, the number of colleges and universities is currently used.