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解题时,通过换元引参,常可使问题简捷获解,但应注意换元引参的合理性和等价性,否则将出现这样或那样的错误.下面剖析四种常见错误,供同学们参考.一、忽略代换的合理性致错例1 若x+y+z=1,求证:x2+y2+z2≥1/3.
When solving the problem, the problem can be solved simply by replacing the parameters, but attention should be paid to the rationality and equivalence of the meta-parameter. Otherwise, this or that error will occur. The following analysis of four common mistakes for students to refer to. I. Ignoring the Reasonability of Substitution Error Example 1 If x+y+z=1, verify that: x2+y2+z2≥1/3.