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等腰三角形是一种特殊的三角形,它有两对特殊的元素,一是底边和腰,二是底角和顶角。若已知α是等腰三角形一边的长,则α可能是底边的长,也可能是一腰的长,但要满足三角形三边关系定理。同样地,若已知α是等腰三角形的一个内角,则α可能是底角,也可能是顶角。这就是等腰三角形的多解问题。解答有关等腰三角形的问题时,要注意它出现多解的可能性。否则将会导致错误。
The isosceles triangle is a special kind of triangle. It has two pairs of special elements, one is the bottom edge and the waist, and the other is the bottom corner and the top corner. If it is known that α is the length of the isosceles triangle side, α may be the length of the bottom edge, or it may be the length of a waist, but it must satisfy the triangle trilateral relation theorem. Similarly, if it is known that α is an interior angle of an isosceles triangle, α may be the bottom corner or the top corner. This is the problem of multiple solutions to isosceles triangles. When answering questions about isosceles triangles, be aware of the possibility of multiple solutions. Otherwise it will lead to errors.