渐近线是双曲线教学的重点和难点.过去,唯恐学生听不懂,课堂上讲得很多,学生也听清楚了,但课中对教师的讲法感到迷惑不解.如,有些学生问:“怎样知道存在这条直线y=±b ax?”“在证明过程中为什么想到把x-x2-a槡2有理化?”这就促使笔者反思:在数学教学中怎样根据学生年龄特征,在传授知识同时培养能力,发展心智,提高数学素养,值得深思.事实上,高二的学生已具有独立思考能力,思想活跃,创新发现的欲望强烈,故在渐近线的教学中,釆用以下五点策 Asymptotes are the emphasis and difficulty of hyperbolic teaching.In the past, students were confused by the fact that they did not understand the students, they talked a lot in the classroom and listened to the students, but some students asked: “How to know the existence of this line y = ± bax? ” “Why did we think of the rationalization of x-x2-a? 2 in the proof process?” This prompted the author to reflect on how to teach mathematics according to the students In fact, sophomore students have the ability of independent thinking, active thinking, strong desire for innovation and discovery, so in the teaching of asymptoticism, Preclude the use of the following five strategies