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只要我们愿做有心人,善于观察,乐于钻研,终会发现隐藏于数学知识中的奥秘。导数方法研究函数,实质上是研究函数图像的变化规律。在利用导数来研究含参数的函数问题时,常常用到两种方法:一种是对参数进行分类讨论,但这种方法思维量大,学生难以找到讨论参数的分类点;另一种是分离参数,这种方法虽然思维量小,但常常又要研究函数的极限,这样才能精确地刻画函数的图像特征,以便解决问题。而求函数的极限往往要遇到
As long as we are willing to be conscientious, good at observation, willing to study, we will find the mystery hidden in mathematical knowledge. Derivative method research function, in essence, is to study the changing law of function images. In the use of derivatives to study the problem with function parameters, often used two methods: one is to discuss the parameters of the classification, but this method has a large amount of thinking, the students difficult to find the classification points to discuss the parameters; the other is the separation Although this method has a small amount of thinking, it is often necessary to study the limits of the function in order to accurately characterize the image of the function in order to solve the problem. The function of the limit often encountered