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反三角函数是高中数学教学的一个突出难点,拙文就反三角函数教学问题谈几点粗浅体会,恳请大家指教.1.如何讲清 arcsinx 含义的问题教材(指现行六年制重点中学高中代数第二册、十年制高中数学第一册有关反三角函数内容,下同)在紧接反正弦函数 y=arcsinx(x∈[-1,1])定义之后,就提出 arcsinx 的含义问题,搞清它显得十分必要.这不仅能加深对反正弦函数定义的理解,对接下来要证明、演算反正弦有关问题
The anti-trigonometric function is a prominent difficulty in high school mathematics teaching. Hao Wen talked a little about the teaching of anti-trigonometric functions and asked for advice. 1. How to clarify the meaning of arcsinx teaching material (refers to the current six-year key middle school high school algebra The second volume, ten-year high school mathematics in the first volume of the relevant anti-trigonometric functions, the same below) immediately after the definition of the inverse sine function y = arcsinx (x ∈ [-1, 1]), it proposed the meaning of arcsinx, engage in It is necessary to clarify it. This not only deepens the understanding of the definition of the arc sine function, but also proves the problem of calculus and inverse sine.