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Research on Setting Plane Geometric Problems in the Mathematics Olympic

Author: ZouYu
Tutor: ShenWenXuan
School: Hunan Normal University
Course: Curriculum and Pedagogy
Keywords: Mathematical Olympiad Plane geometry Questions Proposition principle Proposition method
CLC: O123.1
Type: Master's thesis
Year: 2007
Downloads: 392
Quote: 1
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Mathematical Olympiad development to today , has become an internationally recognized education activities . Mathematical Olympiad as a global group of intellectual activity , is found to play an important role in the selection and training of personnel . The Mathematical Olympiad activities of the central link of the questions of life made ??propositions to carry out activities on Mathematical Olympiad plays a guiding role . Plane geometry as a very important part in the Olympic mathematics , be able to provide various levels , a variety of difficult questions , is a rich source of questions in the Mathematical Olympiad . This paper attempts to systematic research propositions principles and propositions method of the Mathematical Olympiad in plane geometry questions . First, the research results of the the Summary at home and abroad on Mathematical Olympiad proposition theory , Mathematical Olympiad the proposition principles and propositions all the understanding , and put forward their own views , and pointed out that the proposition of plane geometry questions Mathematical Olympiad study is the Mathematical Olympiad theoretical depth research an important aspect. Combined with the reality of the research background , ideas and innovation . Then , is also a major part of this paper , based on the data and preliminary practice their accumulated some experience , in-depth summary of combining a large number of instances , explore the the Mathematical Olympiad proposition principle and propositions . Proposition principle of scientific principles , the principle of novelty , the selection principle , the ability principle , the principle of flexibility , creativity principle , the principle of bridging adaptive principle and profound principle , to explore the principles and aesthetic principles , and on this basis they see fit principle system . The propositions main to deepen interpretation questions Chen promotion and extended transformation deformation proposition stitching , geometric transformation method , the historic theme of regeneration and analog transplantation in the final two basic means of life made ??plane geometry questions : based basic graphics dig ; graphics based on the basic nature of the cleverly constructed . Finally , an important issue pointed out that there are still insufficient and the study of this paper .

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CLC: > Mathematical sciences and chemical > Mathematics > Elementary Mathematics > Elementary Geometry > Plane geometry
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