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函数既是中学数学各骨干知识的交汇点,又是数学思想、数学方法应用的载体,还是中学数学联系实际的切入点,因此,函数便理所当然地成为了历年高考的重点考查内容。而对函数三要素之一值域的考查,或是以单题形式出现,但更多的是以解题的一个环节的形式出现,其中求分式函数的值域更是学生失分较大知识点之一。为此,笔者就中学阶段出现的各种类型的分式函数值域问题进行分类研究,运用初等数学知识给出解决方法。
The function is not only the meeting point of middle school mathematics backbone knowledge, but also the carrier of application of mathematical thought and mathematics method, or the entry point of middle school mathematics connection reality. Therefore, the function becomes the key examination content of the college entrance examination for granted. However, the examination of one of the three elements of the function, or in the form of single questions, but more in the form of a part of the problem-solving, which is the fractional function of the value range is more students lose more One of the big ideas. To this end, I classify the various types of fractional function range problems that appear in the middle school stage, and apply elementary mathematics knowledge to give solutions.