一元高次不等式的证明 ,因其次数高 ,作差后常不易分解而导致解题失败 .尽管有时经分类讨论能使问题得到解决 ,但是证明过程复杂 .也常面临着如何分类的问题 .经探讨发现 ,若注意观察不等式左右两边项数、次数特征 ,采用配方法 ,常使此类问题简洁获证 .例 1　求证 :ｘ8+ｘ2 + 1 The proof of one-dimensional high-order inequality, because of its high number of times, is often difficult to decompose after the difference and causes the problem to fail. Although sometimes the classified discussion can solve the problem, the proof process is complicated and often faced with the problem of how to classify. It was found that if we pay attention to the observation of the number of inequalities and the number of times on the left and right sides of the inequality, the matching method is often used to make such problems concise. Example 1 Proof: x8+x2 + 1