(2-2Aw)x-2Bwy=0

问题描述:

(2-2Aw)x-2Bwy=0
-2Bwx+(2-2Cw)y=0
Ax^2+2Bxy+Cy^2-1=0
联立方程组 x y w 是未知数
怎么样能得出x^2+y^2=w^2

(2-2Aw)x-2Bwy=0 (1) -2Bwx+(2-2Cw)y=0 (2) Ax^2+2Bxy+Cy^2-1=0 (3)由(1)式得(1-Aw)x^2-Bwxy=0 (4) 由(2)式得-Bwxy+(1-Cw)y^2=0 (5) 由(4)+(5)式得 - w(Ax^2+2Bxy+Cy^2)+(x^2+y^2)=0 (6)由(3)式得 w(Ax^2+2Bxy+Cy^2)...