高中代数题直线的方程是:y=[(1+3
y=(1+3p^2)x/(1-3p^2)+p^3-(p+3p^3)/(1-3p^2) y=x^3
x^3=(1+3p^2)x/(1-3p^2)+p^3-(p+3p^3)/(1-3p^2)
(3p^2-1)x^3+(3p^2+1)x-p(3p^4+2p^2+1)=0
(x-p)[(3p^2-1)x^2+p(3p^2-1)x+3p^4+2p^2+1]=0
x-p=0 x=p
(3p^2-1)x^2+p(3p^2-1)x+3p^4+2p^2+1=0
有两个不同的根:3p^2-1不为0 p^2不为1/3
且DEL>0 p^2*(3p^2-1)^2-4(3p^2-1)(3p^4+2p^...全部
y=(1+3p^2)x/(1-3p^2)+p^3-(p+3p^3)/(1-3p^2) y=x^3
x^3=(1+3p^2)x/(1-3p^2)+p^3-(p+3p^3)/(1-3p^2)
(3p^2-1)x^3+(3p^2+1)x-p(3p^4+2p^2+1)=0
(x-p)[(3p^2-1)x^2+p(3p^2-1)x+3p^4+2p^2+1]=0
x-p=0 x=p
(3p^2-1)x^2+p(3p^2-1)x+3p^4+2p^2+1=0
有两个不同的根:3p^2-1不为0 p^2不为1/3
且DEL>0 p^2*(3p^2-1)^2-4(3p^2-1)(3p^4+2p^2+1)>0 3p^2-1<0
-√3/3
收起