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求无理函数的值域问题是高中数学的重点、难点,也是各级各类考试的热点.这类问题内涵丰富,灵活多变,涉及多个知识点,技巧性、综合性较强,解法灵活多样.学生在解决这类问题时,错误率较高,许多同学感到困难,甚至不知从何入手.如何求无理函数的值域?探求的思维途径何在?本文试图通过实例对此问题作一些探究.
Seeking irrational function of the value of the domain is the high school mathematics, the difficulty, but also all kinds of examinations at all levels of hot. Such issues are rich in content, flexible, involving multiple knowledge points, skills, comprehensive, flexible solution Many students in the solution of such problems, the error rate is high, many students feel difficult, and even do not know where to start How to seek the range of irrational function? Seeking ways of thinking? This article attempts to explore this issue by some examples .