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寻找辅助工具解决问题是人们常用的一种思想方法,解数学题也不例外.在解几何题时,适当地添加辅助线往往起关键作用。同样,在解代数问题时,适当地引入辅助元素,也能起化难为易,变未知为已知的重要作用。辅助元素种类繁多,有辅助量、辅助式、辅助函数、辅助方程、辅助图形等。利用辅助元素解题是一种综合运用数学知识的方法,具有一定的技巧性,它能丰富学生的想象,开阔他们的思路,有利于培养学生的创造能力。解代数题时,添置辅助元常用的方法有: 一、在解题过程中,我们常遇到这样的问题,其题设不完全符合原有定理、法则、公式的要求,使得现成的定理、公式、法则
Finding ancillary tools to solve problems is a commonly used method of thinking. Solving mathematics problems is no exception. When solving geometric problems, adding appropriate auxiliary lines often plays a key role. In the same way, when the problem of solving algebra is solved, the introduction of auxiliary elements is appropriate, and it can also be difficult to make changes. Unknown is an important role that is known. There are many types of auxiliary elements, such as auxiliary quantities, auxiliary types, auxiliary functions, auxiliary equations, and auxiliary graphics. The use of auxiliary elements to solve problems is a method of comprehensive use of mathematical knowledge, with a certain degree of skill, it can enrich students’ imagination, broaden their thinking, and help cultivate students’ creative ability. When solving algebraic problems, the commonly used methods for adding auxiliary elements are: First, in the process of solving problems, we often encounter such problems, and their questions do not fully meet the requirements of the original theorems, rules, and formulas, making ready-made theorems, Formulas and rules