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平面几何的证明题,如何添加辅助线,历来是教学的难点和关键.什么题目需要添加辅助线,怎样添加辅助残,没有十分明确的标准.一般说,已知条件比较分散,或者已知条件与待证结论没有明显联系时,就可以考虑添加辅助线.添加辅助线要有的放矢,不能胡添乱加.无用的辅助线不仅对证明毫无帮助,而且会造成混乱,影响思路,使问题更加复杂化.针对不同情况,添加辅助线的方法可以从下面三个方面去寻找.一、寻找已知与求证的联系,把已知条件和待证的结论用辅助线联系在一起,使隐含的条件显露出来,揭示出题目的内在联
The proof of plane geometry, how to add auxiliary lines, has always been the difficulty and key to teaching. What topics need to add auxiliary lines, how to add supplementary residues, there is no very clear standard. In general, known conditions are more dispersed, or known conditions When there is no obvious connection with the conclusion of the probation, we can consider adding an auxiliary line. Adding an auxiliary line must be targeted and cannot be added. The useless auxiliary line not only does not help the proof, but it also causes confusion, affects the way of thinking, and makes the problem more complicated. For different situations, the method of adding auxiliary lines can be searched from the following three aspects. First, find the connection between the known and the verification, and link the known conditions and the conclusions to be proved with the auxiliary lines. The conditions revealed, revealing the intrinsic links of the topics