Bài giảng Đường thẳng song song với mặt phẳng







Giáo viên:Vũ Thị Luyến
Bộ môn: Toán học

Ninh bình 10/2012

 !"#$#%& '()*+, -!./012"#
$34#,#%& '5)67 !*
8#39:;<=6>?@A#313B! -6C !*D9
$E$!:;<6>?@A#313B!-6C#&'()$3F3$G&?!1H
IH -??67 !
  -3J !K#,A#+
I!  -$467 !*
!
-
5
(
!
-
5
(
+
!-
5
(

"#$%
&'()*+,-(.
/0"#$123
&'()*+,-(.
"#$%
()*+,-(.".456
/0"#$123
()*+,-(.".456
"#$%()67*+,-
(.89+:66;<=
/0"#$123()67
*+,-(.89+:6
6;<=>


?(56
@@


A6?6B*C+(D%*6E#$-F

6E
A<G
A<G
A<G
A<G


8#L.M1NO! 6C#%& ??P
@>A6?6B*C+(D%*6E#$-F


6E

?"H =39&*QR39F.Q0C=S=C*
T<6N$UV@3B!
!)6C'Q)WS)6C'Q)W3)6C'Q)
@>A6?6B*C+(D%*6E#$-F

6E



Q


-
α
-X
*U3Y
Đnh l 1:
1 -Z2"#$#[
\
& 'α)6C-?
? -X"#$'α)=-??67'α)
1-3J'α)K+=
+∈-]^+∈'β)
#C+∈'α)M+∈'α)∩'β)
!.+∈-X*9+]-X∩-'#_11`67-Xaa-)
_
\

.-aa'α)
α
-
-X
β
-'()W-aa-XW-X⊂'()W8#39:;<=6>6N$UV
@3B!-6C'()*
⊄
8#L.M1&V
&F&3b#-aa
'()P
IJ-+
=-aa-XcK-1.Y#&'β)3b!-6C-X*
d9'α)∩'β)]-X

*U3Y'&)
HQaa')6C
"#$')
eHQaaP
?"H =39&*QR39F.Q0C=S=C*
*T<6N$UV@3B!
6C'Q)WS)6C'Q)W3)6C'Q)
f*g+RRh0i0G0C$1A#3B!6C*b#$"H
!)aa'Q)WS)Qaa')W
3)+aa')W-)haa')



Q


+

9S!M1
 "#$#%
& ')6C?
?67QP
F3 C.
39U3Y=P
(
5
j
h

A<?
 !??67#[
\
& 'α)*1#[
\
& 'β)3b!!
6C3J'α)k!1.S=S??67!*
!
S
β
!
α
*U3Y'&)
'α)6C'β)SH
l
'α)6C'β)39A#+31
l

'β)3b! !W!aa'α)*
d9H!1.3B!f#&'α)6C'β)0CH
m?n!∩S]d
⇒
d∈!
d∈S⊂'α)
⇒
d]!∩'α)
'+_11`)
:.Saa!
 o1!+6C??
67 !*
+
 !??67#[
\
& 'α)*
1#[
\
& 'β)3b!!6C3J'α)k!1.S*
8#39Z01:=6>6N$UV@3B!!6CSP
IJ-+

U-pfH*U3Y'&)
?"H =39&*QR39F.Q0C=S=C*+$1A#3B!*
g0C!!3<Q6C*g'α)0C#%& o1!6C?
?676CQ*
=#-q3B!=39&SN3JSr#%& 'α)P-q90C=P
s
j
E




Q

+
O

B3@
l
TF3N6N$UV@3B! 6C#%& 
l
F3-Y1q1A:S ??67
#%& R90CHt)u!6CNO!
t)u!6CN0v
l
G3&V&F&3b# ?
?67#%& *
l
M##,&V&F&3b#! 
??6C&V&F&=#!1.3B!!#%
& 

Cg32#!.33F3k#SH