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在前面学习函数的过程中,我们已经接触过形如y=x、y=x~2、y=x~3、y=x~(-1)、y=x~(1/2)专等的函数,这些函数从解析式的结构来看,它们有一个共同的特点:以自变量x的幂的形式出现,底数x是自变量,指数是一个常数,我们把这一类函数叫做幂函数.与指数函数、对数函数一样,幂函数也是一种常见的函数模型,在中学数学的学习和日常生活中的应用非常广泛,因此掌握好幂函数的有关知识的重要性是不言而喻的.那么怎样才能学好幂函数呢?以下是笔者在教学中的一些体会,供大家参考.
In the process of learning the function in the front, we have been in contact with shapes such as y=x, y=x~2, y=x~3, y=x~(-1), y=x~(1/2), etc. The functions, these functions have a common characteristic from the analytical structure: They appear as the power of the independent variable x, the base x is the independent variable, and the exponent is a constant. We call this type of function the power function. Like exponential functions and logarithmic functions, power functions are also a common function model. They are widely used in the study of middle school mathematics and in daily life. Therefore, it is self-evident that the importance of mastering the knowledge of power functions is self-evident. So, how can we learn the power function? Here are some of the author’s experience in teaching for your reference.