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平面几何中,常常出现 ab=c~2±ef 型的证明题.这类问题学生深感难解,很有必要进行研讨.我认为用平方项转化法,容易解决这类问题.平方项的转化通常有两类:线段的内分和线段的外分.
In plane geometry, there is often a proving question of ab=c~2±ef. This kind of problem is very difficult for students to understand and it is necessary to discuss. I think that it is easy to solve this kind of problem with the square term transformation method. There are usually two types of conversions: the inner part of a line segment and the outer part of a line segment.