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如果将等腰三角形ABC的顶角顶点A分裂为两个点,记为A1、A2,连线A1A2与底边BC交于点D,仍保持两腰A1B和A2C相等,我们不妨把所得图形称为畸形的等腰三角形,如图1所示.特别地,若点D为底边BC的中点,则称A1A2D为畸形的等腰三角形的底边上的中线.若∠BA1D=∠CA2D,则称A1A2D为畸形的等腰三角形的顶角平分线.非常有趣的一个现象是等腰三角形的一些性质,也传给了畸形的等腰三角形.例如,等
If the vertex of the isosceles triangle ABC vertex A split into two points, denoted as A1, A2, the connection line A1A2 BC with the bottom edge at the point D, still maintain the two sides A1B and A2C equal, we may wish to get the resulting graphic Is a deformed isosceles triangle, as shown in Figure 1. In particular, if point D is the midpoint of the base BC, then A1A2D is the center line on the base of the deformed isosceles triangle.If ∠BA1D = ∠CA2D, Then A1A2D is the apex bisector of the anomalous isosceles triangle.A very interesting phenomenon is some of the properties of the isosceles triangle and also to the anomalous isosceles triangle.For example,