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  ,2026



ISBN978-5-0069-1963-1

     Ridero








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1.     ,  z  (. .1).

2.   ,       B (. .2).






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3.   ,     y (. .3).






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:

 1.

     (   AB).     F,   z  ( A).   蠖 l,  1 l = a+ b,  a   A   F, b     F  B.     RA ( A) RB (B).

:

    (Q)   (M)   .

 1.    RA RB

      F   RA, RB.   :

     :

RA+ RB F = 0? RA + RB = F(1)

    A  (    A,  RA):

RB?l F?a= 0? RB = lF?a(2)

 (1) (2) RA:

RA = F RB = F Fa/l = F (1 a/l) = F (l a) /l =Fb/l

:

RA = Fb/l, RB =Fa/l

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 1(0? x ?a):

   x  A(0?x?a).     RA.

Q (x) =RA=lFb

  (x=a)     : Q (a) = Fb/l.

 2(a<x ?l):

   x  A(a<x?l).    RA F.

Q (x) = RA F = Fb/l F = F (b/l 1) =Fa/l

  (x = l)     : Q (l) = Fa/l.

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 (0 a): Q = Fb/l ( ,   x).

 (a l): Q = Fa/l ( ,   x).

    F (x = a)      F (Fb/l Fa/l).

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   x  A.  RA   :

M (x) = RA?x = Fb/l?x

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 x = 0, M (0) =0;

 x = a, M (a) = Fb/l?a= Fab/l.

 2(a<x ?l):

   x  A.  RA F   :

M (x) = RA?x F? (x a) = Fb/l*x F (xa)

:

M (x) = F (bx/l x + a) = F (a x (1 b/l)) = F (a x*a/l) =1

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 x = a, M (a) = Fa (1 a/l) = Fab/l (  1);

 x = l, M (l) = Fa (1l/l) =0.

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 (0 a): M (x) = Fb/l?x (  0Fab/l).

 (a l): M (x) = Fa (1 x/l) (  Fab/l 0).

       F (x = a)  Mmax = Fab/l.

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   Fb/l x= 0x =a.

    x = aF.

  堖 Fa/l x = ax =l.

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 : RA = Fb/l, RB = Fa/l.

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Q (x) = Fb/l  0?x?a; Q (x) = Fa/l  a<x?l;  F  x =a.

  :

M (x) = (Fb/l) ?x  0?x?a; M (x) = Fa (1 x/l)  a<x?l;

  Mmax = Fab/l  x =a.



 



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:

[R_A= \frac {Fb} {L} = \frac {12?4} {6} = 8[R_B = \frac {Fa} {L} = \frac {12?2} {6} =4]



Q:

 02: (Q =+8)

 26: (Q = 812=-4)



M:

 02: (M = 8x),  x=2: (M=16)

 26: (M = 8x 12(x-2) = 24 4x),  x=6: (M=0)



 : (M_ {max} = 16) (  ).








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            ,        072200.62   .




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