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从相似的定义出发,逐步弱化条件,通过举反例,利用三角形相似的判定定理给出证明,从而得出四边形相似的三个判定定理以及全等的判定定理.1.定义.四组角对应相等,四组边对应成比例的两个四边形叫做相似四边形.2.探索.因为四边形的内角和等于360°,所以可以减少一组角,那么三组角对应相等,至少加上几组边对应成比例,就可以判定四边形相似呢?(1)仅有三组角对应相等的两个四边形不一定相似.(2)三组角对应相等,两组对边对应成比例的两个四边形不一定相图1
Starting from a similar definition, we gradually weaken the conditions and give evidences by using the contrastive example and by using the similar theorem of triangles to get the three theorems of congruence and congruent judgments. , Four groups of sides corresponding to the proportion of the two quadrilateral is called similar quadrilateral .2 exploration .Because the interior angle of the quadrilateral and equal to 360 °, so you can reduce a group of angles, then the three groups of angles corresponding to the same, at least plus a few groups of edges corresponding to the (1) only three groups of angles corresponding to the same two quadrilateral may not be the same. (2) The three groups of angles correspond to the same, the two groups corresponding to the edge of the corresponding two quadrilateral not necessarily phase diagram 1