补形法应用三则

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本文列举的习题均有别的解法,当中不乏个别解法更简洁,笔者只是从对补形法的理解做个尝试.补形法是通过适当添加辅助线,将不规则或不熟悉的图形补成相对规则的、熟悉的图形,凸显结论与条件之间的关联,延展思考的空间,进而形成解题思路.一、补出三角形题1如图1,已知3个边长相等的正方形相邻并排,求∠ABC+∠DBC的度数. The exercises listed in this article have other solutions, many of them more concise solution, the author is only from the understanding of the shape of the method to make a try.Fill method is through the appropriate addition of auxiliary lines, the irregular or unfamiliar graphics make up Relative rules, familiar graphics, highlighting the connection between the conclusion and the conditions, extend the space for thinking, and then form a problem-solving ideas.First, make up the triangular problem 1As shown in Figure 1, known three equal-length square adjacent Side by side, find ∠ ABC + ∠DBC degree.
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