hai duong thang song song.pdf

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    SONG SONG

    3 1.

    4

    5

    6

    8

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    c

    a b

    th

    (0 )2

    2a b.

    a

    b

    a'

    b'

    O

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    VD1:

    S

    A

    B C

    DF

    M

    N

    E

    I J

    (a)

    E SI, F SJ v:

    SE SF 2EF//IJ;

    SI SJ 3

    (b)

    Ta c: MN // AB // CD

    MN (ABF) (SCD)

    AB (ABF), CD (SCD)

    AB // CD

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    hnh chp.

    VD2:

    (a) Tm (SAB) (SCD)

    Ta c:

    S (SAB) (SCD)

    AB (SAB), CD (SCD)

    AB // CD

    Ta c:

    G (EFG) (SAD)

    EF (EFG), AD (SAD)

    EF // AD

    (b)

    S

    A

    B C

    D

    F

    GH

    E

    x

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    VD3:

    = HD

    B

    A

    C

    D

    I

    P Q

    M N

    Ta c :

    (MNPQ) (ABC) = MP

    (MNPQ) (ACD) = NQ

    (ABC) (ACD) = AC

    M MP NQ = I (v MP v NQ khng song

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    1

    2 1 v G2G1G2 // CD

    3

    4

    5trn BD sao cho KB = 2KD.

    6

    7

    8

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    1 (ABCD) (IJMN) = MN. M IJ // CD

    2

    1

    1 2 1 21 2

    2

    2IG IC

    IG IG G G 23 G G //CDIC ID CD 32

    IG ID3

    3

    BD // CE (FBD) (FCE) = Ft // BD // CE.

    4

    525a 51

    S144

    6 PI

    O HNO (ABC)

    HN (ABC)O (ABC) PI,HN,BC ng quy.

    O PIO (SBC)

    PI (SBC)

    7

    A'C' B'D' O' (1)

    O' A 'C'O' (SAC)

    A 'C' (SAC)

    O' B'D'O' (SBD)

    B'D' (SBD)

    (SAC) (SBD) SO O' SO (2)

    T (1) v (2) pcm

    8