该曲面在该点处的切平面法向量(18,2,-2),切平面的方程为(x-3)*18+(y-1)*2+(z-1)*(-2)=0,上面求出的是过该点的法线方程.
任意一平面F(x,y,z)=0在点(x,y,z)的法向量为(F'x,F'y,F'z),那有其法向量了,那切平面就好求了,F'x意思为F对x的偏导数
曲面3x^2+y^2-z^2=27在点(3,1,1)处的切平面方程是.
曲面3x^2+y^2-z^2=27在点(3,1,1)处的切平面方程是.
数学人气:915 ℃时间:2020-01-14 13:58:47
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