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二次曲线方程的化简
引用本文:朱玉清,柳静.二次曲线方程的化简[J].南阳理工学院学报,2009,1(6):67-71.
作者姓名:朱玉清  柳静
作者单位:南阳理工学院,河南,南阳,473004
摘    要:通过对二次曲线方程化简中的不变量法和坐标变换法的优缺点的讨论,利用两者之间的内在联系,引出并证明了三个新定理。新定理使得二次曲线的化简计算量小,画图快速方便。最后结合实例,说明三个定理在二次曲线方程化简中的具体应用。

关 键 词:二次曲线方程  坐标变换  不变量  化简

THE SIMPLIFICATION OF QUADRATIC CURVE EQUATION
ZHU Yu -qing,LIU Jing.THE SIMPLIFICATION OF QUADRATIC CURVE EQUATION[J].Journal of Nanyang Institute of Technology,2009,1(6):67-71.
Authors:ZHU Yu -qing  LIU Jing
Institution:( Nanyang Institute of Technology,Nanyang 473004,China)
Abstract:The advantages and disadvantages of nonvariable method and coordinate transformation method in the simplification process of quadratic curve equation are discussed; Through the intrinsic link between the two,three new theorems are derived and proved. The new theorem makes the calculation simplify,and makes drawing graphs quick and easy. Finally,examples of simple methods illustrate the specific application of the three theorems in quadratic equation simplification.
Keywords:Quadratic curve equation  Coordinate transformation  Invariant  Simplifies
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