γεωμετρια α λυκειου βοηθημα 175-184
of 10
-
Upload
kiklades1209 -
Category
Documents
-
view
235 -
download
1
Transcript of γεωμετρια α λυκειου βοηθημα 175-184
-
8/11/2019 175-184
1/10
7
o
11o
12o
A
A EB
M
O
x y
12
34
-
8/11/2019 175-184
2/10
-
8/11/2019 175-184
3/10
.
:
AB
= =
-
.
: .
:
.
.
= =
,,,.
. .
, .
= .
.
.
= = ,
= =
= =
= = ,
= =
...
... ...
+ + += = = =
+ + +
11
-
8/11/2019 175-184
4/10
178.
, -
: MA NA
MB NB=
,
, , .
1. .
2. .
3. ,
.
4. 2OA OM ON= .
5. :2 1 1
AB AM AN=
( )
, .
:
= =
,
.
. , -
:
=
-
8/11/2019 175-184
5/10
179.
,
-
. , :
=
= = .
-
.
=
+
=+
=
=
, ( > )
.
9.
.
1
, ,
(, ). //.
( )
:
=
( )
:
=
=
=
= //.
-
8/11/2019 175-184
6/10
180.
2
-
x y .
x
, y
. :
=
1 2
O O= ( O M
= )
. :
= (1)
3 4
O O= ( O
= )
. :
= (2)
(1) (2) :
=
=
, , , .
3
. //
//. // .
:
//
= :
//
=
:
= //.
4
-
. = .
:
//
= (1)
=
= (2)
-
8/11/2019 175-184
7/10
181.
(1) (2) :
= (3)
1 2
= (: ) 1 1
= , 2 1
= (//)
1 1
= = . (3) = = .
5
, :
=
+
:
= (1)
, , :
=
=
+ +
=
+
=+
. (1), :
+= = =
+
6
(,)
.
.
1 1
= ( ,
, )
2 1 = (
A , ).
2 1 1
= = ,
. ( 1= , - ), .
.
-
8/11/2019 175-184
8/10
182.
7
(, , , ),
, :
( ) ( ) ( )22 2
4 OO = +
: M = = + = + .
( ) ( ) ( )( ) = + ( )( ) ( ) ( )2 2 = .
(4) : ( ) ( ) ( )2
=
: ( ) ( ) ( )2 2 2
=
( ) ( ) ( ) ( )
2 2
22 2 2 4
2 2
= = +
8
:
= .
: . = . =
.
.
= .
, ( )
1
= . ,
( )
2
= . (1) (2) = .
( )
3
=
. (3) //.
= = ( = )
.
1. .
. : 1
2=
2. . , ,
// // , //.
-
8/11/2019 175-184
9/10
183.
3. , (//), 6 = 4= .
, 3
2
= = .
// / /
4. ,
. //.
5.
, //.
6. . // ( ),
:1 1 1
+ =
7. ( 1= ) .
, :
2 2
4
+ =
. A
. , ,
, //, //.
: i.
ii. //
-
8/11/2019 175-184
10/10
