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Teaching and research on the quadratic curve

Author: ZhangHanBing
Tutor: WangJingZuo
School: Liaoning Normal University
Course: Subject Teaching
Keywords: Quadratic curve Introduction by Computing power Teaching and research
CLC: G633.6
Type: Master's thesis
Year: 2010
Downloads: 220
Quote: 0
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Abstract


Quadratic curve also known as conic previous name is derived from the algebraic equations , the latter name is derived from its geometric method . Quadratic curve is the core content of high school mathematics analytic geometry , circle, ellipse, hyperbola and parabola . The definition equations and geometric properties of the quadratic curve , widely used in the production and science and technology , and master this knowledge , but also the future to further study the foundations of mathematics . Therefore, the to learn quadratic curve , so that students and further grasp the Shuxingjiege thinking , the idea of the idea of transformation , motion and change , understanding coordinate method to help students to establish a point of view of dialectical materialism , from the point of view of the motion of a geometric intuition thinking and analysis , further learning calculus , higher geometry , mathematical tools for learning physics, chemistry , biology and other natural sciences , has a very important significance . Quadratic curves in secondary schools teaching process , teachers should be based on students' mathematical cognitive level and the structure and characteristics of the materials , careful analysis in order to determine the appropriate teaching methods so that students receive the most in the learning process of the quadratic curve good results , which is also the subject you want to study important issues. The subject on the basis of extensive access to all kinds of information and literature , combined with their own teaching practice , given from the point of view of both static and dynamic , ellipse, hyperbola and parabola defined by the introduction of a variety of way , and analyzed their students to understand plays the role of the curve and the respective limitations. Analysis of students' in learning quadratic curve standard equations and geometric properties of the problems and try to give solution to the problem . The use of analytic geometry knowledge to solve problems and quadratic curve committed various errors , to resolve these errors . Finally, the college entrance examination syllabus and high school mathematics curriculum standards on computing power requirements , talk about analytic geometry teaching process , to make full use of the existing resources of good material ; focusing on the integrated use of algebraic knowledge in analytic geometry ; and culture the computing power of a few specific measures to illustrate to students of computing power in the teaching process of the quadratic curve .

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