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勾股定理是初中数学中的一个重要的定理,利用它能解决许多数学问题.利用勾股定理解平面直角坐标系中的几何变换问题,是近年中考的一个热点.这类题目综合性比较强,大多数学生感到困难,解题容易出现错误.其实解这类问题并不难,关键是要充分理解题意,将问题转化为有关的数学模型来思考.再利用勾股定理和其他知识,问题便能迎刃而解.一、利用勾股定理解三角形平移问题例1在Rt△ABC中,∠C=90°,AC=2.如图1,
The Pythagorean Theorem is an important theorem in junior middle school mathematics, and it can solve many mathematical problems by using it. Using the Pythagorean Theorem to solve the geometric transformation problem in Cartesian coordinate system is one of the hottest points in recent years. , Most students find it difficult to solve problems prone to error.In fact, this problem is not difficult to solve, the key is to fully understand the problem, the problem into the mathematical model to think about .Remove the Pythagorean theorem and other knowledge, First, the use of Pythagorean theorem solve triangular translation problem Example 1 In Rt △ ABC, ∠ C = 90 °, AC = 2. As shown in Figure 1,