分类讨论的思想方法是初中数学中一种重要的思想方法,在解决数学问题时有着广泛的运用.由于等腰三角形的特殊性,做题时更要特别注意分类讨论思想的运用,如需要分顶角还是底角,分腰还是底;分锐角三角形、直角三角形还是钝角三角形等等.所以只有将这些内容考虑全面,才能正确的解决有关等腰三角形的问题. Because of the particularity of the isosceles triangle, we should pay special attention to the application of the category discussion thought when making the questions, for example, we need to divide the thinking of the category discussion into an important way of thinking in the junior middle school mathematics, which is widely used in solving the mathematical problems The top corner or the bottom corner, the waist or bottom; sub-acute triangle, right-angle triangle or obtuse triangle, etc. So only consider these contents comprehensive, in order to correctly solve the problem of isosceles triangle.