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勾股定理是几何中的一条重要定理,在解决直角三角形问题中,可以说它无处不在.但是,在实际解题过程中,常常受思维限制,极易造成错解.将学生学习中产生的错误进行收集和整理,并合理利用这些错题资源,能够更好地培养学生的反思能力和创新思维,从而提高教学效率,达到“减负增效”的目的.下面,笔者举例浅析应用勾股定理的几个误区.一、忽略定理应用的条件例1已知△ABC中,三边长a、b、c为整数,其中a=3,
Pythagorean theorem is an important theorem in geometry. In solving the right-angle triangle problem, it can be said that it is ubiquitous. However, in the actual problem-solving process, it is often limited by thinking, and can easily lead to misunderstanding. The mistakes of collecting and sorting out, and rational use of these wrong resources, can better cultivate the students’ reflection ability and innovative thinking, thereby improving the teaching efficiency and achieving the purpose of reducing burdens and increasing efficiency. The following is an example of the author’s analysis. Some misunderstandings of the application of the Pythagorean theorem. First, ignore the condition of the application of the theorem Example 1 is known in △ ABC, the length of the three sides a, b, c is an integer, where a = 3,