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第2453题:球面方程



求经过四点 (2,0,0)(2,0,0)(0,2,0)(0,2,0)(0,0,2)(0,0,2)(2,2,2)(2,2,2) 的球面方程。

 

A. (x1)2+(y1)2+(z1)2=3 (x-1)^2+(y-1)^2+(z-1)^2=3

 

B. (x1)2+(y1)2+(z1)2=9 (x-1)^2+(y-1)^2+(z-1)^2=9

 

C. (x12)2+(y12)2+(z12)2=34(x-\dfrac{1}{2})^2+(y-\dfrac{1}{2})^2+(z-\dfrac{1}{2})^2=\dfrac{3}{4}

 

D. (x12)2+(y12)2+(z12)2=3(x-\dfrac{1}{2})^2+(y-\dfrac{1}{2})^2+(z-\dfrac{1}{2})^2=3

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