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勾股定理是用代数思想解决几何问题的重要工具,方程是解决数学问题的另一重要工具,两者的有机结合,能轻松解决许多数学问题.下面,我们依旧利用前文中引用的教材例题,深入探讨如何将勾股定理和方程联手解题.原题(苏科版教材八上第86页例1)《九章算术》中有一道“折竹”问题:“今有竹高一丈,末折抵地,去本三尺,问折者高几何?”题意是:一根竹子原高1丈(1丈=10尺),中部有一处折断,竹梢触地面
The Pythagorean theorem is an important tool for solving geometric problems with algebraic thinking. Equations are another important tool for solving mathematical problems. The organic combination of the two can solve many mathematical problems easily. Below, we still use the examples cited in the previous article. In-depth discussion on how to combine the Pythagorean theorem and the equation to solve the problem. The original question (Su Ke version of textbooks on the eighty-eighth page of Example 1) “Nine chapters of arithmetic” has a “fold bamboo” problem: “ There is a bamboo high one Zhang Zhang, finally arrived at the ground, go to the three feet, ask the creator of high geometry? ”Title meaning is: a bamboo is 1 foot high (1 foot = 10 feet), the middle has a break, bamboo touch the ground