duong thang va mat phang trong khong gian.pdf
TRANSCRIPT
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3 1.
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5
7
9
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A
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(P) v (Q).
VD1:
(a) (SAC) v (SBD) (b) (SBC) v (SAD)
S
A B
CD
E
O
(a) (SAC) v (SBD)
Ta c:
AC BD {O}
AC (SAC) O (SAC) (SBD)
BD (SBD)
(2)
(1)
SO = (SAC) (SBD).
(b) (SBC) v (SAD)
Ta c S = (SBC) (SAD)
AD BC {E}
AD (SAD) E (SAD) (SCB)
BC (SCB)
Suy ra: SE = (SBC) (SAD).
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P
d
a I
Q
a
PI
d
VD2:
A
D
C
B
O
H
I
J
N M
Tm (OMN) BD
MN BD = {H}
MN (OMN)H = (OMN) BD
Tm (OMN) BC, (OMN) CD
(OMN) (BCD) = OH
Trong (BCD) ta c:OH BC I
OH CD J
I (OMN) BC
J (OMN) CD
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VD3:
(a) Tm (BDE) SC
Trong (SAB): BE
(SAC) (BDE) = OF
Trong SAC: OF SC = I I = SC (BDE)
(b) Tm DE (SBC)
(BDE) (SBC) = BI.
(SBC).
A
I
CD
B
O
EF
JS
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VD4:
Ta c:
(CMN) (SBC) = NC
(CMN) (SCD) = MC
(SAC) v SO (SBD)
SO
(CMN) (SAB) = NI
(CMN) (SAD) = MI
A
C
D
B
O
S
H
N
MI
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1
v (BCM).
2
3 (ACD).
4
5
6
7
8
9
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1 DE, AG = (ABF) (ADE)
AD = N BN = (ABD) (BCM).
2 b (O; a) (O; b) = OE.
3 (MCE) (ABC) = CK
(BCN) (MAE) = HI.
4 (MIJ) AB = MI AB, (MIJ) (CD) = MJ CD, (MIJ) BD = IE
5
6 AM
7 SB = H; SO HN = K; CK
8 BM SA = H; BN
9 BD = O; SO IA = H; JH