求x^2+x^2y^2-y^2=1 在(1,1)处的切线方程和法线方程
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求x^2+x^2y^2-y^2=1 在(1,1)处的切线方程和法线方程
求x^2+x^2y^2-y^2=1 在(1,1)处的切线方程和法线方程
求x^2+x^2y^2-y^2=1 在(1,1)处的切线方程和法线方程
x²+x²y²-y²=1
(x²-1)(y²+1)=0
∵y²+1>0
∴x²-1=0
∴x=1或x=-1
∴这个方程表示两条垂直于x轴的直线
在点(1,1)处的切线方程就是x=1
法线方程就是:y=1
祝愉快!
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