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1.问题的提出在高中数学教学中,经常会遇到一些知识点,当学生学到这部分内容时,就会出现“屡做屡错”.比如学到函数这个知识,学生总是忘记考虑定义域;再如,用向量法求立体几何中的线面夹角α时,总是弄不清算出的结果是sinα还是cosα.笔者发现,尤其在三角函数中,有更多知识使学生做题时会“一错再错”.如两角和差正余弦公式sin(α±β)和cos(α±β)易混淆,三角函数值记错,运用平方关系求三角函数时总是忽略负的结果,只会直接展开计算而不会配凑角等等,虽经过教师的多次纠正,但在之后的做题中错
1. Problems raised in high school mathematics teaching, often encounter some knowledge points, when students learn this part of the content, there will be “repeated mistakes ” For example, to learn the function of this knowledge, the students are always Forgetting to consider the domain; Another example, the vector method for the geometry of the line surface angle α, always wondering whether the calculated result is sinα or cosα. I found that, especially in the trigonometric function, there is more knowledge Students make a mistake, “a mistake again.” Such as the two corners and the difference cosine formula sin (α ± β) and cos (α ± β) easily confused, the value of the trigonometric function mistaken, using the square relationship between the trigonometric function Negative results are always ignored, only the calculation will be carried out directly without fitting corners, etc., although after repeated correction by the teacher, but in the next question