曲面x2+2y2+3z2=21在点(1,-2,2)处的法线方程为________.

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问题 曲面x2+2y2+3z2=21在点(1,-2,2)处的法线方程为________.

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答案(z-2)/6

解析 n={2x,4y,6z}(1,-2,2),法线方程为(x-1)/1=(y+2)/(-4)=(z-2)/6.
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