Начертательная геометрия

8.

151

, y1 y2 1 2 ( . 8.66, ), + " , " .+ .

; , " " "-( . 8.66, ). ( , ) - . I , . @ (y , . -. I + " .

= . 8.66

152

.

"# "&( ) * & :"+" " *

1.& ? & " D ?

2.& , -" ?

3.& D , ? & " D D ?

4.& D ? & ) D ?

5.& D ?

6.D ?

7.& D ?

8.& D ?

9.& ?

10.+ -?

11.& D ?

12.& ( D + ?

13.& D ? & D D ?

14.& ' D -?

15.& D ( ? &?

9

# ". + .

C " , :

-, " " ;

-, " ) ( -

.

' " D

, %#$ 2.307-68.

F " ( ( ( . F " (

= D ( , D' ) , ' " . C -, " ( . 9.1 9.2).

= D " - . % " ( " -, , - .

& 2 – 3 .

= . 9.1

= . 9.2

D ' s + , " . = (4–5)s. 9.3. @ -.

154 .

3

	( , ) 10 . +
		1 1 -
	2,5min
		7 ( . 9.4).

= . 9.3					,			-
	, .
	=
				,			,
	. @-
	-
	-
	", " .
	/
	, -
	, D -
		( . 9.5).
	< D
	.			/
	( ) . / -
= . 9.4	"	, -
								-

( : 20 ; 3 ) D- ' ( ). 3 5 .

= .

". N " D + . I-+ . +1 1 1 . |1 % , 5 1 ( . 9.4).

= - D 1 – 1,5 . -

9.

155

-, . 9.6. / , . 9.6 + , D'-. @ , . 9.7.

= . 9.5

= . 9.6

= . 9.7

= . @ ,. "+ D D -+ ( . 9.8). C " -" . $ -" ( . 9.9).

= . 9.8	= . 9.9

3 , % ,, 5 ( . 9.10). =-, D' " , D " , -. * D, . 9.10 9.11. , -+ " , -, " – " -

156

.

. / , . 9.11 - + , " -. @ -' D " " , ( ( " 5°, . 9.11).

= . 9.10

= . 9.11

D D D ( , . 9.12).

* - 5 , 1 % . & ! ( b c, . 9.13). # D , " ". -( b, .9.14). = . /" ( " (-) " ,, . 9.15 9.16.

= . 9.12

= . 9.13

= . 9.14

9.

157

= . 9.15

= . 9.16

"D + -( . 9.17). ? " 45° - . $ + . = ( , . 9.18.

= . 9.17

= . 9.18

/ " , - , ( .9.19, ) -" ( . 9.19, ), -D, ( (10, (20 90°, . 9.19, ;20, . 9.19, ). # D6 – 10 . = -. -(10 (20, 90° 20 D( , ( .

C -, -D. ! -(. 9.19, )

158

.

= . 9.19

, , . # " D -" ( (25 (28, . 9.20), -" . = D D( – , - " D . * . 9.20, . 9.20, ,, " " , D " .

= . 9.20

, -) ", . 9.21, . / -+ " " " ( . 9.21, ), + " D + .

= . 9.21

9.	159
	" -

( . 9.10). ( -

".

G (

@ D D'

:
( - ;	R - ;	- " ;	- ) ;
- ;	- ;	- .

0. , D' ,D (, : (50. ;( . @ . =, "D ((40, . 9.22), - , " D ((20, . 9.22).

@ . 9.23 . @ . "-. -, -.

= . 9.22

= . 9.23

3 . , D' ,– R, , R25. $ , - , R -. = D D , " " . =" ". ( . 9.24, ) -

160

.

( . 9.24, ) . + " -" + " ( . 9.25, , ).

	= . 9.24			= . 9.25

C " ( " ), ( ) 1 , D . = - , . 9.25, , .

/ " , " - D ( . 9.24, ) ( . 9.26). " + " ,, D D ,(R140, . 9.27).

, " " + " , " " . = D D ( D ( . 9.28). #,90°.

= . 9.26

= . 9.27

= . 9.28

"" ( . 9.29, ). /,' ( . 9.29, , ).

= . 9.29