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对于无理函数f(x)=■±■(ab≠0且c,d不同时为零)值域的求法,当f(x)在定义域內为单调函数时,利用单调性容易求得其函数的值域:当f(x)在定义域內不单调时,不容易求得其函数的值域:在这种情形下,许多中学数学刊物曾探讨过其求解方法;本文将运用两个变量的平方和(差)为正常数作参数代换,给出求此类函数值域的新方法.先
For f (x) = ■ ± (ab ≠ 0 and c, d are both zero), f (x) is a monotonic function in the domain of definition, which can be easily obtained by monotonicity Function Range: When f (x) is not monotonous in the domain, it is not easy to find the value range of its function: in this case, many high school mathematics publications have explored its solution method; this article will use two The square sum (difference) of variables is replaced by the parameter of the normal number, and a new method for finding the value range of such a function is given.