Research On Setting Plane Geometric Problems In The Senior Middle School Mathematics Competition

Mathematics Competition has a long history and goes back to ancient times,nowadays,it has become an international accepted education activity.As a global community intelligence activity,Mathematics Competition plays a very important part in detecting,selecting and developing talented person.The center link of the Mathematics Competition activity is setting problems,Setting problems has an instruction of function in developing Mathematics Competition activity.The plane geometry,as a very important part in Mathematics Competition,and it is deeply loved by the originator and an enrich source for Mathematics Competition as it can provide various layer,various difficulty problems.Based on this,this paper using references analyzing,let the plane geometric test questions in the Mathematics Competition in recent years as the research object,on the basis of the analysis of the existing research results,combined with the new test questions,try to study systematically on the principles and methods of setting plane geometric problems in the Mathematics Competition.We go deep into summary according to the data and some experience of my own preliminary practice,combine a great deal of examples,investigate the principles and methods of setting plane geometric problems in Mathematics Competition.The fundamental principles mainly include science principle,novel principle,ability principle,selection principle,the optimized principles mainly include intuition principle,aesthetics principle,parsimony principle,and expound the principle system in the main line that:faithfulness,expressiveness,and elegance.The methods mainly include turning to deduce deeply,putting propositions together,special case,the geometric transformation.At last,we point out two essential means:based on basic graphics,deep excavation nature;based on the basic properties,cleverly construct the graphics.