论文部分内容阅读
采用套题的方法进行平面几何总复习,可使基础知识的掌握与能力的提高有机的联系起来。一、由基本图形发展为复合图形的套题这是经常采用的类型,它是把简单的题目逐渐发展到较为复杂的综合题目。如 (1)已知:DE∥BC 求证:AD∶AB=DE∶BC (2)已知:DE∥BC 求证:DN∶BM=NE∶MC (3)已知:AD∥BC∥MN,MN过AC和BD的交点O。求证:OM=ON (4)已知:AD∥BC∥MN,MN交AC、BD于Q、P。求证:MP=NQ (5)已知:DE∥BC 求证:DN=NE,BM=MC (6)已知:AB为☉O直径,AD和BC切☉O于A、B,DC切☉O于E。EF⊥AB于F,交DB于P。求证:DB平分EF于P点。二、题设与结论互相转化的套题这类题目显示了题目的多样性和灵活性,能提
Using the method of sleeve questions to conduct a total review of plane geometry can make the mastery of basic knowledge organically related to the improvement of capabilities. First, from the basic graphics to the complex figure sets of topics This is a frequently used type, it is the gradual development of a simple title to a more complex synthesis of topics. As (1) Known: DE∥BC Proof: AD:AB=DE:BC (2) Known: DE∥BC Proof: DN:BM=NE:MC (3) Known: AD∥BC∥MN,MN The intersection point between AC and BD is O. Proof: OM = ON (4) Known: AD ∥ BC ∥ MN, MN AC, BD in Q, P. Proof: MP = NQ (5) Known: DE ∥ BC Proof: DN = NE, BM = MC (6) Known: AB is ☉ O diameter, AD and BC cut ☉ O in A, B, DC cut ☉ O In E. EF ⊥ AB in F, DB in P. Verification: DB divides EF at P point. Two sets of questions and conclusions mutually converted sets of questions These topics show the diversity and flexibility of the topics, can mention