逆序配方法及其应用

A Method of Completing the Square with Reverse Order and Its Application

提出了一种新的将二次型化为标准型的配方法——逆序配方法.并用这种新的配方法给出了一般椭圆曲线所围面积公式和一般空间椭球方程体积公式;还用此方法证明了Jacoby定理.

A new method of completing the square with reverse order is Presented by change quadric form into standard form. Using this new method, the authors give the formula of the area of a general elliptic curve and the volume Of a general ellipsoid. At last, a new proof for Jacoby theorem is provided.