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Duong thang va mat phang trong khong gian.pdf

Jan 14, 2016

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  • www.TOPPER.com.vn | (04) 6680.0464Ton 11Ton 11Ton 11Ton 11

    3 1.

    4

    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