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四边形在初中几何中具有承上启下的作用,它是平行线、三角形的延续,又是学习其他几何知识的基础,对提高我们对几何的认知,以及提高逻辑思维、推理论证能力有着至关重要的作用.四边形的性质,在实际生产与生活中有着广泛的应用,同时也是中考命题的热点.知识点1:平行四边形的性质和判定例1如图1,在平行四边形ABCD中,∠ABC的平分线交CD于点E∠ADC的平分线交AB于点F.试判断AF与CE是否相等,并说明理由.分析:要判断AF与CE的大小关系,只要能判断△ADF和△CBE是等腰三角形,就能确定AF、CE的关系.
The quadrilateral has a bearing on the junior middle school geometry. It is the continuation of parallel lines and triangles. It is also the basis for learning other geometric knowledge. It is very important to improve our understanding of geometry and to improve our ability of logical thinking and reasoning and argumentation The nature of the quadrilateral, in the actual production and life has a wide range of applications, but also the hot topic in the test. Knowledge point 1: the nature of the parallelogram and the decision 1 as shown in Figure 1, parallelogram ABCD, ∠ ABC bis Line to pay CD at point E∠ADC bisect AC to point F. try to judge AF and CE are equal, and explain the reasons. Analysis: To determine the size of the relationship between AF and CE, as long as △ ADF can be judged and △ CBE is Waist triangle, you can determine the relationship between AF, CE.