







60 14 10
 TS. 


Abstract: 





Keywords:  


Content
1. Lý do chọn đề tài


hình thành nhân cách con 







âng
cao.
2. Lịch sử nghiên cứu

                 
THPT- 





3. Mục đích và nhiệm vụ nghiên cứu
    
              

 
- 
- 
- 
- 
- 
4. Đối tƣợng và khách thể nghiên cứu
                


- -

5. Mẫu khảo sát
-- - Hà

1.1 Định hƣớng đổi mới phƣơng pháp dạy học và những phƣơng pháp dạy học tích cực
-









tri


              




- 
- 
- 
- 
- 



1.2 Kỹ năng




- 

- 


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

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
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
Tr


-                 

- 




 





1.3 Thực tiễn dạy học “Phƣơng phap toạ độ trong không gian” trong chƣơng trình học



                 


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 







- 
- 
- 
1.


- 
- 

t
-            








,n u v



  


)

2 2 2
0A B C  






( ; ; )n A B C

.
4. Mp(

    
0
(x
0
;y
0

1
(a;b;0); M
2
(0;b;c); M
3
(a;0;c).

là
'
1
( ; ; )M a b c
;
'
2
( ; ; )M a b c
;
'
3
( ; ; )M a b c

2.1.2 Vectơ chỉ phƣơng của đƣờng thẳng
2.1.3 Các dạng phƣơng trình đƣờng thẳng


0
, y
0
, z
0


21
2
21
)()()( zzyyxxAB 




0
, y
0
, z
0

1
, y
1
, z
1

u
=(a; b;

- 
MH.K d)d(M, 

-      


   


1
, d
2

1
u
,
2
u




||.||
|.|
cos
21
21
uu
uu





1
n
,
2

 Hình 2.4

Cách 1:
- 

- 

- 


Hình 2.6

- 
- 
2.2.2 
Bài toán 1: 



.
' ' ' '
A B C D
. 5
1) 
'
A
C. 


'
C




(Oxy). 


0
//IG.
: 6 

:
A(0; 0; 0), B(a; 0; 0), C(a; a; 0), D(0;
a; 0)
M
3
; ;0 , ; ;0
22
aa
a N a
   
   
   

AM

=







(ABCD)

Hình 2.14
2.3 Kỹ năng lập phƣơng trình mặt phẳng

  
 
0
) cho

0


() ).


0



0


1





()

).

()



()

)

()


0



0





)).

     
,:d I R C   

     
, : ,d I R C  

 




 
: Ax+By+Cz+D=0P
.
 
















; y
0
; z
0

u
= (a; b; c).

1
; y
1
; z
1
) và B(x
2
; y
2
; z
2
)
: L

.

 

nhau (P) và (Q).

d
1

    
1
d



- Do d qua M và vuông góc
2
d Hình 2.31


2
d






.
 

.


.


d
,
2
d
.
- 
1
d


2
d
và
(P).
-     
 Hình 2.43


trên

 17
1
d



.


, OA = OB = OC. 

, trên OB


: OM + ON = OC (1). 

, 







 (1),




(CMN) 







.

NGHIÊ
̣
M SƢ PHA
̣
M
3.1 Mục đích, tô
̉
chƣ
́
c thƣ
̉
nghiê
̣
m
3.1.1 


















 . 





 12
3
A
, 12
4
A





  

 

, 



 12
4
A

̣
m
3.3.1 




 , linh
, 



,  , 


























 , 





 
không gian.
3.3.2 








 , 





3.4 Kê
́
t luâ
̣
n chƣơng 3










:




 
. 











Reference
1. Trâ
̀
n Thi
̣
Vân Anh. 

















 12. 











, 2008.
3. Nguyễn Hữu Châu. . NXB

4. Vũ Cao Đàm.            
2009.
5. Trâ
̀
n Văn Ha
̣
o (



 ), Nguyê
̃
n Mô
̣
ng Hy (), Khu Quô
́
c Anh , Trâ
̀
n
Đức Huyên. 12. 


, 2008.
7. Đ Mạnh Hng , Phan Thi
̣
Luyê
́
n , Nguyê
̃
n Lan Phƣơng . 

, 






12. 



, 2008.
8. Nguyê
̃
n Tha
̀
nh Hƣng (trƣơ
̀
ng Đa
̣
i Ho


 (d










). 



, 1992.
11. Phng Hng Kổn. 













n Điê
̣
p. 

 , 








. 



, 2009.
18. Đa
̀
o Tam. 











Quý Sửu, Hà Xuân Thành. 





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
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
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
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
12. NXB
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22. 

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
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
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