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本刊84年第3期上登载了陆幼芳同志题为《y=(dx~2+ex+f)/(ax~2+bx+c)的值域求法的一点注记》一文.读后受到一定的启发,同时又感到文中只谈到这个问题的一个侧面,本文将全面分析此类问题.我们首先想到分式(ax~2+bx+c)/(mx~2+nx+p)(a、m不同时为零)能否化简,这又决定于ax~2+bx+c和mx~2+nx+p是否有公共根,因此想到要分下面三种情况进行分析.
In the 3rd issue of the 84th issue of this volume, a commentary by Comrade Lu Lufang on the value range of “y=(dx~2+ex+f)/(ax~2+bx+c)” was published. Some inspiration, but also feel that the article only talks about a side of this issue, this article will comprehensively analyze such issues. We first think of the fraction (ax~2+bx+c)/(mx~2+nx+p) ( A, m is not zero at the same time can be reduced, which in turn depends on whether ax~2+bx+c and mx~2+nx+p have a common root, so I think the following three situations should be analyzed.