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文献〔１〕给出一道推广命题：若实数ｘ、ｙ满足Ａｘ２＋Ｂｘｙ＋Ｃｙ２＝Ｄ（其中Ｂ２＜４ＡＣ，Ｄ≠０），设Ｓ＝ｍｘ２＋ｎｙ２（ｍ＞０，ｎ＞０），则１Ｓｍａｘ＋１Ｓｍｉｎ＝ｍＣ＋ｎＡｍｎＤ．本文将在该文的基础上作一点改进，对这一命题再作一个推广，并给出它的...
Literature [1] gives a promotion proposition: If the real numbers x, y satisfy Ax2+Bxy+Cy2=D (where B2<4AC, D≠0), let S=mx2+ny2 (m>0, n>0), then 1Smax+1Smin=mC+nAmnD. This article will be based on the article to make some improvements, and then make an extension of this proposition, and give it ...