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在一个数学问题的条件中,如果包含了没有直接言明,但又确实存在的事实,我们把这种条件称之为隐含条件.同学们在解决某些数学问题时,常常由于忽视隐含条件的存在,或者对隐含条件的揭示得不够彻底,而导致思维或曲折或受阻,抑或出现失误.一个数学问题中的隐含条件,一般在何处隐身?解题时,如何让问题中的隐含条件现出真身?本文仅以椭圆中的几个典型问题为例,作出若干归纳与总结,供同学们参考.
In the condition of a mathematical problem, if there is no direct statement, but there is a fact that does exist, we call this condition an implicit condition.Students in solving some mathematical problems, often due to neglect of implied conditions The existence of the hidden conditions or the disclosure is not thorough enough, leading to thinking or zigzag or blocked, or mistakes in a mathematical problem implicit conditions, where the general invisible problem? Problem-solving, how to make the problem Implicit conditions show the real body? This article only to several typical problems in the ellipse, for example, made a number of induction and summary for the students reference.