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[不等式] 20181118循环不等式

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wanhuihua posted 2018-11-18 14:15 |Read mode
$$
\eqalign{
  & {\cal 设}a,b,c,d{\cal 为}{\cal 正}{\cal 实}{\cal 数}  \cr
  & {\rm{   }}{\cal 求}{\cal 证}{\cal :}  \cr
  & {\rm{ }}{{b^2 } \over a} + {{c^2 } \over b} + {{d^2 } \over c} + {{a^2 } \over d} \ge 4\,{{a^2  + b^2  + c^2  + d^2 } \over {a + b + c + d}} + {{(a + c - b - d)^2 } \over {a + b + c + d}}  \cr
  & {\cal 万}{\cal 惠}{\cal 华}{\rm{20181118}} \cr}
$$

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