Traditional Culture Encyclopedia - Traditional culture - Solid geometry and traditional culture question bank
Solid geometry and traditional culture question bank
The distance from the point (x, y, z) to the plane aX+bY+cZ+d=0 is | ax+by+cz+d |/sqrt (a 2+b 2), so only z = x 2+y 2 is needed.
The minimum value of d = | 2x+2y-z-8 |/sqrt (4+4+1) is enough.
D=|2x+2y-x^2-y^2-8|/3
=|x^2-2x+y^2-2y+8|/3
=|(x- 1)^2+(y- 1)^2+6|/3
& gt=6/3, equals sign if and only if x=y= 1.
=2.
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