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:曲面z=x^2-y^2與平面2x+4y-z=0平行的切平面方程 z`(x)=2x,z`(y)=-2y 切平面與平面2x+4y-z=0平行 法向量(2x,-2y,-1)//(2,4,-1) 2x/2=-2y/4=-1/(-1) 切點 x=1,y=-2,z=1+2=3 切平面方程 2(x-1)+4(y+2)-(z-3)=0 2x+4y-z+9=0
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