论文部分内容阅读
研究幂函数,由定义域可知,所有幂函数在()0,+∞上都有意义,所以研究幂函数的第一个关键问题是研究幂函数第一象限的图象及其性质。部分幂函数在()-∞,0上无意义,研究它在第一象限的图像及性质及可了解此类幂函数,部分幂函数在(-∞,0)有意义且此类幂函数具有较强的对称性,结合第一象限的图象及性质和奇偶性即可知此类幂函数在()-∞,0上的函数图象及性质,所以幂函数研究的第二关键为通过对幂函数的奇偶性的探究。本文通过对幂函数在第一象限的图象及其性质和幂函数的奇偶性的分析从而了解幂函数,在教学中有助于学生理解幂函数。
Studying the power function, we know from the domain that all power functions have meaning on () 0, + ∞. Therefore, the first key problem to study the power function is to study the image and its properties in the first quadrant of the power function. Part of the power function is meaningless on () -∞, 0, its image and its properties in the first quadrant are studied, and the power function can be known. The partial power function has significance at (-∞, 0) and such power function has Strong symmetry, combined with the first quadrant of the image and the nature and parity we can see that such power function in () -∞, 0 on the function of the image and the nature of the power function of the second key is through the Exploring the Parity of Power Function. In this paper, we can understand the power function by analyzing the image of the power function in the first quadrant and its properties and the parity of the power function, which helps students understand the power function in teaching.