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曲線的法向量為(2x,2y,-1)=a(2,4,-1),得x=1,y=2,則z=5.因此在點(1,2,5)處的切平面為2(x-1)+4(y-2)-(z-5)=0,即 曲線z=x^2+y^2與;平面2x+4y-z=0 平行的切平面方程為2x+4y-z-5=0.
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