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( )




, , , , . , , : , , .

(1997), , . : , , . :

. . , .

. , . , . . , , , . , . . (. ).

(1997) : ... , , . , :

1) ;

2) ;

3) ;

4) ;

5) ;

6) ;

7) ;

8) .

( ) .

, . , , . 3.1.

3.1.

1018 1 () = 1018
1015 1 () = 1015
1012 () 1 () = 1012
109 (G) 1 () = 109 ()
106 () 1 () = 106 ()
103 (k) 1 () = 103 ()
102 (h) 1 () = 100
101 (da) 1 () = 10
:
10-1 (d) ; 1 = 0,1
10-2 () ; 1 = 0,01
10-3 (m) ; 1 = 0,001
10-6 () ; 1 () = 10-6
10-9 (n) ; 1 () = 10-9
10-12 (p) ; 1 () = 10-12

 

 

: 1 = 102 = 103 ; 1 = 103 ; 1 = 10

(S): 1 2 = 100 ; 1 = 10000 2; 1 2 = 100 2

(V): 1 3 = 1000 3; 1 3 = 1 ; 1 3 () = 1000 3 (); 1 = 159

(m): 1 = 103 = 106 = 109 ; 1 () = 100

(r): 1 /3 = 1 /3 = 1 /3

: m = r V; V = m/ r; r = m/V

= pR2. = 2pR. p 3,14

= (4/3)pR3. = pR2h

:

= 1,00 /3 = 1000 /3

= 0,92 /3 = 920 /3

1,0 1,4 /3

, .

1. , . (, ) . , 1 1 . = 1000 /3.

( ): m =.........................................................

. (V) (S) 1 (h) 1 :

V = S ∙ h

S = 1 = 10.000 2; h = 1 = 0,001 ; V ( ) = 10000 2 ∙ 0,001 = 10 3; (m) = r ∙ V = 1000 /3 ∙ 10 3 = 10.000 = 10 .

. 10.000 = 10 .

2. , . (m) (S) 10 . () (h) = 50 ; (r ) = 0,25 /3.

. (V.) 10 :

V. = S ∙ h

10 = 100.000 2, 50 = 0,5 ,

V. = 100 000 2 ∙ 0,5 = 50 000 3.

/3: 0,25 /3 = 0,25 ∙ 10-6 /10-6 3 = 0,25 /3

: m = r ∙ V. = 0,25 /3 ∙ 50 000 3 = 12500 .

3. . , . : 0,05 2 . 400 . , 200,0 /3. (., ) .

. 1 2 = 103 ∙ 103 = 106 2. 400 = 0,4 . 0,05 2 : 0,05 ∙ 106 2 ∙ 0,4 = 2 ∙ 104 3 = 2 ∙ 107 3.

= 200 /3 = 0,2 /3 = 2 ∙10-4 /3 = 2 ∙10-7 /3. . = 2 ∙10-7 /3 ∙ 2 ∙ 107 3 = 4,0 .

. 4,0 .

4. 10 500 . , . , , . (r) = 0,25 /3.

. (V) = 10 ∙ 500 = 5000 ; (m): m = r ∙ V; (r = 1,0 /3; V = 5000 = 5000 3);

 

m = 1,0 /3 ∙ 5000 3 = 5000 .

, (m): m = r ∙ V = 5000 .

(V) = 5000 /0,25 /3 = 20.000 3 = 20 3 = 20 .

. .

5. , (. 4). . (Z Z Z ) ?

. , (m). m = r ∙ V = 5000 . = 5000 /0,92 /3 = 5435 3; 17,6 17,6 17,6 = 5452 3.

. Z 17,6 .

6. , . , () , . , L = 62,8 m = 4,0 .

. , , (r.) (r = 1,0 /3).

: r = m /V. (V) = (4/3)pR3. L = 2pR = 62,8 , R = 62,8 /2p 10,0 . V = (4/3) ∙ p ∙ (10)3 4186,7 3.

r 4000 /4186,73 0,96 /3, . .

. 0,96 /3, .

7. :

10 / = /2; =?

. 10 = 107 ; 1 = 104 2. = 107 /104 2 = 103 /2 = 1000 /2.

: = 1000 /2.

200 /2 = /; =?

. 200 = 2 ∙ 10-4 ; 1 2 = 10-4 . = 2 ∙ 10-4 /10-4 = 2,0 /.

: = 2,0 /.

500 /3 = /; =?

. 500 = 5 ∙ 105 ; 1 3 = 103 . = 5 ∙ 105 /103 = 500 /.

: = 500 /.

 


 





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