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安振平老师在《中学数学教学参考》2010年第1—2期(上旬)《二十六个优美不等式》中提出了二十六个优美不等式,本文用换元法给出第24个优美不等式的证明,用综合法给出第26个优美不等式的证明,同时给出它们根式形式推广和证明.
Teacher An Zhenping proposed twenty-six graceful inequalities in the “Twenty-six Beautiful Inequalities” in the “Referral of Mathematics Teaching in Middle Schools” in the first 1-2 period (2010). This article gives the 24th graceful inequality using the exchange method. Proof of inequality, using the synthesis method to give the proof of the 26th graceful inequality, at the same time give their root form extension and proof.