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THE METHODS OF DETERMINING A SPINNING ANGLE OF THE COORDINATE AXES FOR STANDARDIZING A GENERAL QUADRATIC EQUATION

Xia Yizhong  
Theoretically speaking, it is a rather-clearly discussed subject to standardize the quadratic equation into the normal forms by spinning the coordinate axis so as to approach the shapes of its curves. But in the practical solution, a proper spinning angle must be first determined before the standar ,dization of the equation is done. However, there are, in all the books, different ways concerning the problem of determining the spinning angle, and there is no united exhaustive explanation of it. This article makes a special discussion of this problem. It is a treatise on mathematics'pedagogy,which may serve as reference for math teachers in the middle school, and for teaching Higher Mathematics at college.
【Key Words】: quadratic equation coordinate axis spinning angle.
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 CAO Guo-rong (Department of Physics, Zhenjiang Teachers Collage, 212003, Zhenjiang, Jiangshu, China);FRAUNHOFER DIFFRACTION PATTERN OF THE PLANE WAVE INCLINATION INCIDENCE[J];JOURNAL OF ANHUI NORMAL UNIVERSITY(NATURAL SCIENCE);2000-01
2 TIAN Xin-xian(Pingdingshan Institute of Education,Pingdingshan 467000,China);Unwrapped-spread curve of conical surface and cylindrical surface[J];Journal of Pingdingshan Institute of Technology;2008-05
3 ZHAO Yongliang,SHEN Kai,ZHAO Shanbiao,ZHANG Tianxiao(No.16 Research Institute of CATEC,Xi'an 710100,China);Analysis and Simulation of Angle Measurement for Coordinator Gyrorotor by Electro-optic Sensor[J];Journal of Projectiles,Rockets,Missiles and Guidance;2009-03
4 Wang Weihan;A Study of Conic Section in a way of Linear Algebra[J];;1992-04
5 GU Lu-qing(Command and Control Center, PLA Unit 91550, Dalian, Liaoning Province 116023);Positioning of Guided Targets and Its Applications in Safety Control Software[J];;2005-02
6 Chen Yuhua Zhou Daosbeg ( Dept.of Basic Course Zhenjiarg Shipbuilding Institute) ( Dept.of Mathematics Zhenjiang Teacher's Collage);An Example of Using Euler's Theorem of Homogeneous Functions[J];Journal of East China Shipbuilding Institute(Natural Science Edition);1989-04
7 JIAO Chang-jun, LI Sheng-yi, DAI Yi-fan (National University of Defense Technology, Changsha 410073);Line-Contact Machining of Conic Surfaces of Revolution and Error Analysis[J];Aviation Precision Manufacturing Technology;2005-03
8 PENG Xue-mei(College of Math.and Computer Science,Jishou University,Jishou 416000,Hunan China);On a New Property of Uniparted Hyperboloid[J];Journal of Jishou University(Natural Science Edition);2005-04
9 Tao Yingq1;A Discussion on the area of geometric figure[J];Journal of Mianyang Teachers College;1996-S2
10 DING Sheng(Mianyang Vocational and Technical College,Mangyang,Sichuan 621000);Two Theorems for the Real Line from the Crossing of Plane and Quadratic Cone and Their Application[J];Journal of Mianyang Normal University;2009-05
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