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一、问题的提出问题1:设a>0,d<0且ac>bd求函数的f(x)=ax+b+c+dx(-ba≤-dc)值域最近读了贵刊文[1]关于这类无理函数的值域的解法文章后,深受启发,但感到美中不足,问题的解法运算量大,学生不易掌握。如果让学生只记结论,运用结论解题,学生也不好理解。正如文[1]提到希尔伯特说过“当我听到别人讲解某些数学问题时,常觉得很难理解,甚至不可能理解,这时便想,是否可以将问题化简些呢?往往,在终
First, the question raised Question 1: Let a> 0, d <0 and ac> bd Find the function f (x) = ax + b + c + dx [1] Insofar as the solution to the range of such irrational functions is inspired, but the fly in the ointment is lacking, the solution to the problem is computationally intensive and difficult for students to master. If students only write conclusions, using the results to solve problems, students do not understand. As mentioned in the article [1], Hilbert said: ”When I hear others explain certain math problems, I often find it hard to understand or even impossible to understand. At this juncture, I think I can simplify the problem Often, in the end