在运用勾股定理解题时,有时会遇到多种情况,如果不注意分类讨论,就会丢解或错解.所以有必要利用分类讨论思想逐类求解.现将与勾股定理有关的需要分类讨论的问题归类解析.供参考.一、按边为直角边或斜边分类例1如果直角三角形的边长分别是6、8、x,则x的值是____.解:按x是斜边或直角边分:(1)若x是斜边:则可得x2=62+82=100, In the use of Pythagorean theorem to solve problems, sometimes encounter a variety of situations, if you do not pay attention to the classification of the discussion, it will be discarded or misunderstood. Therefore, it is necessary to use the taxonomy discussed by class. Now with the Pythagorean Theorem For classification, please refer to the classification. For a reference, by the edge of the right-angled edge or hypotenuse classification Example 1 If the right-angled triangle side length is 6,8, x, the value of x is ____. x is the hypotenuse or right-sided edge points: (1) If x is the hypotenuse: you can get x2 = 62 +82 = 100,