1

Surfer

1.

2015 12 6

SURFER Bianca

VioletViolet Imaginary

Surfer snowman

2.

2.1 P(x1, y1), Q(x2, y2)

PQ (x1 x2)2 + (y1 y2)2

2.2

1 5

(5, 0), (0, 5), (3, 4 )

2

3 1

P(x, y) (0,0) 5

(x 0)2 + (y 0)2 = 5

2

x2 + 2 25 = 0

41

1: x2 + 2 3 = 0

2: (x 3)2 + ( 1)2 4 = 0

3: (x + 2)2 + ( 1)2 9 = 0

2.3

5 x2 + 2 25 = 0

z

surfer

2

surfer x2 + z2 25 = 0 y2 + 2 25 = 0

x, y, z

1

2

3

2.4

2.4.1

AB=0 A=0 B=0

2.4.2

surfer xy = 0 x = 0 y = 0

xy = 0 x y

4

2.4.3

surfer

(y2 + z2 25) (x2 + z2 25) = 0

2.5

2.5.1

6 5 4 3

A G

5

2.5.2

5.1 1 3

P(x1, y1, z1), Q(x2, y2, z2)

PQ (x1 x2)2 + (y1 y2)2+(z1 z2)2

2.5.3

4

2.5.4.

Surfer snowman

3

3 Surfer

5

4

3

G

A

6

3.

Bianca Violet Surfer

Surfer

4.

Imaginary Snowman

https://imaginary.org/sites/default/files/snowman_bridges2015_0.pdf