Аналитическая геометрия и линейная алгебра. Умнов А.Е. - 85 стр.

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y
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=
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Fa
→→
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cos
sin ; .
ϕ
ϕ
ϕ
3
3
0
0
0
1
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ϕ
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xy
22
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+=
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z
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2
=N
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M

r
→

N
O

F
→
()
ϕ


a
→
èqxytvr
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M
 r
→

N
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
O F
→
()
ϕ

r
0
→
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cÈÏËã 
sËãÒÓˮө˺­žË}ˆ©Óȹ㺰}º°ˆÒÒm¹¯º°ˆ¯ÈÓ°ˆmË



                                             →               →             →
                                             r (ϕ , θ ) = F (ϕ ) + θ a  ϕ ∈ Ω , θ ∈ ( −∞,+∞) 
       
{}ºº¯ÒÓȈӺ®Áº¯ä˹º°ãËÒ°}ã ËÓÒ«θ¹ºã‚ÈËä
       
                                                  x − Fx (ϕ ) y − Fy (ϕ ) z − Fz (ϕ )
                                                             =           =            
                                                      ax          ay          az
             
             

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                                  °ˆÒ ¹Ë¯¹ËÓÒ}‚㫯Ӻ® º°Ò ȹ¹ãÒ}Ȉ ° Ëӈ¯ºä m ÓÈÈãË }ºº¯
                                  ÒÓȈ
                                

                                Ⱥ­¯Èς ÒäÒ«mã« ˆ°«¹¯«ä©Ë¹Ë¯¹ËÓÒ}‚㫯ө˪ˆº®¹ãº°
                                  }º°ˆÒ
                                

                           ÏÈÈˈ°«°ÒFˆË亮‚°ãºmÒ®
             
                                 x = 3 cos ϕ                       3 cos ϕ                                  0
                                                          →                                              →
                                 y = 3 sin ϕ ¹º°}ºã }‚ F (ϕ ) = 3 sin ϕ ;                             a= 0             .
                                 z =θ
                                                                      0                                     1
           
           
           ~ÈäˈÒ䈺˰ãÒÒϹºã‚ËÓÓ©²°ººˆÓº ËÓÒ®ˆÈ}ÎËÒ°}ã ҈ ҹȯÈäˈ¯ϕ
ˆº ¹ºã‚҈°« ‚¯ÈmÓËÓÒË mÒÈ x 2 + y 2 = 9  ã« ã ­ºº z  ºˆ}‚È °ãË‚ˈ ˆº ¹º¯«º}
ÈÓÓº®ÈãË­¯ÈÒË°}º®¹ºm˯²Óº°ˆÒ N = 2 
           
           
                                                 
                                                 
                                                  M
  M                  
               →                                  
  r                                                    →
                                                  r N
                                                 
 N                      
                                                                    →
                                                  O F (ϕ ) 
            →
    O F (ϕ )                                                        
                                                                                                 →
                                                                                 r0 
                     →
     a                                                           
                                                                                
                                                                                
                                                                                
                                                                                
    èqxytvr                                    èqxytvr
                                                                                
             

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