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等腰三角形是一种特殊的三角形,一些与等腰三角形的边、角有关的问题,往往由于条件没有明确给出,会出现多种情况,需要通过分类讨论才能解决.学生遇到等腰三角形中有关分类讨论的问题时,因分类不当,或者不考虑分类而造成错解或者漏解.下面就分类讨论的数学思想方法在等腰三角形的应用举例说明.例1(1)等腰三角形的两边长是4和6,求其周长(2)等腰三角形的两边长是3和7,求其周长解:(1)当腰长时4时,因为4+4>6,4+6>4,能构成三角形,所以周长是14;
Isosceles triangle is a special triangle, some and isosceles triangle edge, angle related problems, often due to conditions are not given, there will be a variety of situations, need to be discussed through the classification can be resolved. Students encounter isosceles triangle In the discussion of classification problems, due to improper classification, or regardless of classification and cause misunderstanding or leakage. The following discussion of the classification of mathematical thinking in the isosceles triangle application example .Example 1 (1) isosceles triangle (2) The isosceles triangle on both sides of the length is 3 and 7, seeking its perimeter solution: (1) when the waist length 4:00, because 4 + 4> 6, 4+ 6> 4, can form a triangle, so the circumference is 14;