.


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:

































 

 

 

 


.




6.1.1. ();

 

= d + 180 Δ

 

6.1.2. ();

 

= U ´ sin ´ (60 / V )

6.1.3. (W );

 

W = U ´ cos + V 蠠 (/)

6.1.4. (t );

 

t = S / W ´ 60 ()

 

6.1.5. ( );

 

= -

 

 

.

1. : :

 

d = 901. = d + 180 Δ = 90 + 180 210 10 = 50

U = 36 /.

= 210 2. = U ´ sin ´ 60 / V = sin 50 ´36´ 60 / 230 = + 7

Δ = + 10

V = 230 /. 3. W = U ´ cos + V = cos 50 ´36 + 230 = 253 /.

S = 97 .

4. t = S ´ 60 / W = 97 ´ 60 / 253 = 23 .

= - = 210 7 = 203

 

2. : :

 

d = 1501. = d + 180 Δ = 150 + 180 110 (-8) = 228

U = 40 /.

= 110 2. = U ´ sin ´ 60 / V = sin 228 ´40´ 60 / 220 = - 8

Δ = - 8

V = 220 /. 3. W = U ´ cos + V = cos 228 ´40 + 220 = 193 /.

S = 86 .

4. t = S ´ 60 / W = 86 ´ 60 / 193 = 27 .

5. = - = 110 (- 8) = 118

.

 

, (U) (U) (U) - , , .

U = U sin a. (2.1)

U = U cos a. (2.2)

 

U

U

a U ⠠

.1

 

 

a ()

(U). 0 90.

 

 

a () :

= d (2.3)

: ;

d .

 

: () ()

(U).

 

0  

0 180. ;

90 0 90 U (+).

  90 180 U (-).

180

0 (360) 180 360. ;

180 270 U (-).

270 90 270 360 U (+).

 

 

180

a 젠 . (. 2)

 

= 0(360)

    1 ( 0 90) a =

2 ( 90 180) a = 180 - = 90

270 3 ( 180 270) a = - 180

4 ( 270 360) a = 360 -

 

= 180

. 2.

 

 

a, (U) (U) a.

1.

a 0 10 20 30 40 50 60 70 80 90
sin a 0 0,17 0,34 0,5 0,64 0,76 0,86 0,94 0,98 1
cos a 1 0,98 0,94 0,86 0,76 0,64 0,5 0,34 0,17 0

U = U ´ sin a.

U = U ´ cos a.

 

. a,

, .

: a = 15 sin a = 0,3; cos a = 0,96.

a = 45 sin a = 0,7; cos a = 0,7. ..

 

(U) (). , 90 , :

 

= U ´ 60 / V : V - .

 

V / 60 , :

= U / . (2.4)

 

- , ,

. 2.

 

2.

V / 180 200 220 240
3 3,3 3,7 4

 

 

2

:

 

: :

1. V = 175 ÷ 185 /. = U / 3 (2.5)

 

2. V = 190 ÷ 210 /. = (U / 3) - 1 (2.6)

 

3. V = 215 ÷ 225 /. = (U / 4) + 1 (2.7)

 

4. V = 230 ÷ 245 /. = U / 4 (2.8)

 

:

 

(2.9) W = V + ( U)

 

 

.

 

1. : :

d = 90- d - ;

U = 36 /. d = d 180 ( Δ) = 90 +180 10 = 260

= 210 - ();

Δ = + 10 = d = 260 210 = 50 a = 50

V = 230 /. 1 , , U .

- :

 

U = U ´ sin a = 36 ´ sin 50 ≈ 36 ´ 0,75 ≈ 27 /

U = U ´ cos a = 36 ´ cos 50 = 36 ´ 0,64 ≈ 23 /

 

W:

= U / 4 = U / 4 = 27 / 4 = 6,75 ≈ + 7

W = V + ( U) = 230 + 23 = 253 /. (.2.9)

 

2. : :

d = 30- d - ;

U = 40 /. d = d 180 ( Δ) = 30 +180 + 10 = 220

= 70 - ();

Δ = - 10 = d = 220 70 = 150 a = 30

V = 180 /. 2 , , U .

 

- :

U = U ´ sin a = 40 ´ sin 30 = 40 ´ 0,5 = 20 /

U = U ´ cos a = 40 ´ cos 30 = 40 ´ 0,86 ≈ 34 /

- W:

= U / 3 = U / 3 = 20 / 3 = 6,66 ≈ + 7

(. 2.5) W = V + ( U) = 180 + 34 = 204 /.

 

 

3. : :

d = 180

U = 42 /. d = d 180 ( Δ) = 180 +180 - 5 = 355

= 135 = d = 355 135 = 220 a = 40

Δ = + 5 3 , , U .

V = 200 /.

U = U ´ sin a = 42 ´ sin 40 = 42 ´ 0,64 ≈ 27 / U = U ´ cos a = 42 ´ cos 40 = 42 ´ 0,76 ≈ 32 /

= U / 3 1 = U / 3 1 = 27 / 3 - 1 ≈ - 8

(.2.6) W = V + ( U) = 200 - 32 = 168 /.

 

. 1. ,

a . (0.64 ≈ 0,6) ..

2.

a 5. (50 ≈ 45)

 

a . ( !)

 

3.

a 0 15 30 45 60 75 90
sin a 0 0,3 0,5 0,7 0,8 0,9 1
cos a 1 0,9 0,8 0,7 0,5 0,3 0

 

 

3.

 

 

4. : .

d = 170d = d 180 ( Δ) = 170 +180 - 5 = 345

U = 40 /. = d = 345 110 = 235 a = 55

= 110 3 , , U . (..2)

Δ = + 5 a, (55) 60

 

V = 185 /. U = U ´ sin a = 40 ´ sin 60 = 40 ´ 0,8 ≈ 32 /

U = U ´ cos a = 40 ´ cos 60 = 40 ´ 0,5 ≈ 20 /

= U / 3 = 32 / 3 ≈ - 11

= U / 3 W = V + ( U) = 185 - 20 = 165 /.

(.2.5)

 

 

: 0,9

W 5/., .

 

 

5. : .

 

d = 220d = d 180 ( Δ) = 220 +180 + 5 = 45

U = 36 /. = d = 45 10 = 35 a = 35

= 10 1 , , U . (..2)

Δ = - 5 a, (35) 30

 

V = 200 /. U = U ´ sin a = 36 ´ sin 30 = 36 ´ 0,5 ≈ 18 /

U = U ´ cos a = 36 ´ cos 30 = 36 ´ 0,8 ≈ 29 /

= U / 3 1 = 18 / 3 -1 ≈ 5

= U / 3 1 W = V + ( U) = 200 + 29 = 229 /.

(.2.6)

1, W 1 /.

 

.

 

(W) , 1 .

 

W = 200 / --- 0,5 100 .

- , , 1/2.

 

W = 200 / --- 20 67 .

- , , 1/3.

 

W = 200 / --- 15 50 .

- , , 1/4.

..

 

.

 

1. : .

W = 185 /. S / W

S = 87 . 87 / 185. 1 / 2.

t =? t = S / W

;

 

t = S / W = 87 / 92,5 ≈ 87 / 93 = (93 - 6) / 93 = 30 2 = 28 .

: ½, 30

92,5 ≈ 93 . S = 87 .

(93 - 6). ; (93 - 6) /93. 93 30 . 2 .

(6), , 3.

 

 

2. : .

W = 210 /. S / W

S = 68 . 68 / 210. 1 / 3.

t =? t = S / W

;

 

t = S / W = 68 / 70 ≈ 68 / 70 = (70 - 2) / 70 = 20 1 = 19 .

: 1/3 20

70 . S = 68 .

(70 - 2). ; (70 - 2) /70. 70 20 . 1 .

(2), , 3

.

 

3. : .

W = 168 /. S / W

S = 96 . 96 / 168. 1 / 2.

t =? t = S / W

;

t = S / W = 96 / 84 ≈ (84 + 12) / 84 = 30 + 4 = 34 .

 

7. .

W.

 

8.1. (U);

U = W - V

 

8.2. 10 α;

 

젠 젠

     
 


񠠠 δ

Ӡ δ

Ϡ

α0

U

 

 

3

4 α0 α !!!

5

U V蠠

 

8.3. 10 (U);

 

3 α

4

5

U V

 

8.4. ;

 

= + ( );

 

 

8.5. (δ);

 

δ = + ( α) 1800 ; (W > V)

 

δ = - ( α); (W < V)

.

 

1. : .

 

= 900 1. U = W - V = 200 180 = 20 /

= + 50 2. α = + 380 ( 10)

V = 180 /񠠠 3. U = 26 / ( 10)

W = 200 /񠠠 4. = + ( ) = 90 + 5 = 950

5. δ = + ( α) 1800 = 95 + 38 + 180 = 3130

( .. W > V)

 

2. : .

 

= 1200 1. U = W - V = 165 180 = - 15 /

= - 80 2. α = - 590 ( 10)

V = 180 /񠠠 3. U = 29 / ( 10)

W = 165 /񠠠 4. = + ( ) = 120 - 8 = 1120

5. δ = - ( α) = 112 (- 59) = 1710

( .. W < V)

 

 

3. : .

 

= 1300 1. U = W - V = 168 180 = - 12 /

= + 60 2. α = + 570 ( 10)

V = 180 /񠠠 3. U = 23 / ( 10)

W = 168 /񠠠 4. = + ( ) = 130 + 6 = 1360

5. δ = - ( α) = 136 - 57 = 790

( .. W < V)

 

.

d

     
 


V U

d

W α

∆U ≈ U α

 


. 3.

4.2.1. U ; (. 3).

 

U ≈ ∆U = W - V蠠 (/)

4.2.2. tg α ´ U = sin ´ V, α;

 

tg α = sin ´ V / U. ..

, sin / 60.

;

α = arc tg ( ⁄ 60 ´ V ⁄ U ) = arc tg ( ´ V): (60 × U).

4.2.3. (U);

 

U = U / cos a (/).

 

4.2.4. ( . 3);

 

- : d = + ( a) 180

 

- : d = - ( a).

:

1. a - .

2. = + ( ).

 

.

 

: :

W = 200 /. 1. U = W - V = 200 180 = 20 /.

V = 180 /

= 80 2. α = arc tg ( ´ V ): (60 × U ). = + 42

= + 6

3. U = U / cos a = 20 / cos 42 = 27 /.

-.

= + ( ). 4. d = + ( a) 180 = 86 + 42 + 180 = 308

 

 

.

(.3), .

 

 





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