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证明比例式成立,是几何证题中的一个类型,运用到很多几何基础知识。这些知识主要是: (1)比例的性质。 (2)平行于三角形一边的直线截其他两边,截得的对应线段成比例,截得的三角形和原三角形相似。 (3)三平行直线截一束直线,所截得的线段对应成比例 (4)通过一点的一束直线,在二平行线上截取成比例的线段。 (5)三角形内角平分线分对边所成两线段的比,等于夹这角两边的比。 (6)三角形外角平分线,如果和对边
Prove the establishment of the ratio, is a type of geometric proof, using a lot of geometric basics. This knowledge is mainly: (1) the nature of the ratio. (2) Parallel to the side of the triangle cut off the other two sides of the line, the corresponding section of the cut is proportional to the triangle and the original is similar to the original triangle. (3) The three parallel straight lines cut a straight line, and the corresponding line segments are proportional to each other. (4) A straight line passing through a point is taken as a proportional line segment on two parallel lines. (5) The ratio of the bisector of the inner angle bisector of the triangle to the opposite side is equal to the ratio of the two sides of the corner of the triangle. (6) triangular outer corner bisector, if and opposite