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  • 8/2/2019 bai 10 - hinh 6

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    Tit 12. Bi 10

    pd f Mach ine - i s a pd f wr i te r tha t p roduces qua l it y PDF f i les w i th ease !

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    Kim tra bi c

    Bi tp: Trn tia Ax, v hai on thng AM v AB sao cho AM = 2cm; AB=4cm.

    a) Tnh MB =?b) So snh AM v MB.

    p n:4 cm

    .

    A.

    B.

    M

    2 cm.

    M

    2 cm

    x

    a)V AB>A M nn trn tia Ax, im M nm gia A v Bnn AM + M B = ABSuy ra MB = AB AMMB = 4cm 2cmMB = 2cm.b) C MA = 2cm v MB = 2cm MA = MB.

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    Tit 12: TRUNG IM ca ON THNG

    1/ Trung im ca on thng

    MA B

    M l trung im ca AB th:

    MA + MB = AB

    im M nm v tr noso vi A,B trn hnh v ?

    Hnh 61*nh ngha(SGK-124)

    + M nm ia A B

    *Ch :

    Trungim ca on thng AB cn

    c gi l im chnh gia ca onthng AB

    v MA = MB

    (MA +MB=AB)

    + MA=MB

    (M cch u A,B )

    =>

    i

    m M

    c g

    i ltrung im ca on thngAB

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    Tit 12: TRUNG IM ca ON THNG

    1/ Trung im ca on thng

    MA B

    Bi tp1: Trong cc hnh sau,

    hnh no c im I l trungim ca on thng MN?m n

    h1

    *nh ngha (SGK-124))

    M l trung im ca AB th:MA + MB = AB

    *Ch :

    Trung im ca on thng AB cnc gi l im chnh gia ca onthng AB

    m ni h2

    m nih3

    v MA = MB

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    Tit 12: TRUNG IM ca ON THNG

    1/ Trung im ca on thng

    MA B

    M l trung im ca AB th:

    MA + MB = AB

    *nh ngha (SGK-124)

    Bi 60(SGK-125):Trn tia Ox v 2 im A, B

    sao cho OA=2cm; OB = 4cm.a)im A c nm gia

    2 im O v B khng?

    *Ch :

    Trung im ca on thng AB cnc gi l im chnh gi a ca on

    thng AB

    v MA = MB

    b)So snh OA v AB?c)im A c phi l

    trung im ca on thngOB khng? V sao?

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    Bi 60 (SGK-125): Trn tia Ox v 2 im A, B sao cho OA=2cm; OB = 4cm.

    a) im A c nm gia 2 im O v B khng?b) So snh OA v AB?c) im A c phi l trung im ca on thng OB khng? V sao?p n:

    v hai im A , B cng nm trn tia Ox va) im A nm gia 2 i m O v B

    O

    .

    B

    .

    A

    2 cm2 cm

    x

    Tit 12: TRUNG IM ca ON THNG

    1/ Trung im ca on thng

    E

    F

    in cc t, k hiu cn thiu hon thnh li gii bi ton sau:

    ..b) V im A nm gia2 i m O v B .

    Nn OA + . . = OBSuyraAB= OB-OA

    AB = 4cm . = 2 c mVy OB .AB = 2cm.

    v A nm gia hai imv ..

    c) A l trung im ca on thng OB

    x

    on thng OB c my

    trung im (im chnhgia)?

    AB

    2cm

    =

    O, B

    OA=AB

    on thng OB ch c mttrung im (im chnh gia)

    Nhng c v s im nm

    gia O v B

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    product a lot easier to use and much preferable to Adobe's" A.Sarras - USA

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    Tit 12: TRUNG IM ca ON THNG

    1/ Trung im ca on thngMA B

    M l trung im ca AB th:

    MA + MB = AB

    v MA = MB2/ Cch v trung im ca on

    V d: on thng AB = 5cm.Hy v trung im M ca on thng y.

    Ta c: AM + MB = AB

    MA = MB

    Gii:

    thng

    Cch 1: Dng thc c chia khongcch.

    Trn tia AB v AM =

    Cch 2: Gp giy

    2uy ra = = = = , cm2

    MA B

    AB2

    52

    =2,5(cm)=

    pd f Mach ine - i s a pd f wr i te r tha t p roduces qua l it y PDF f i les w i th ease !

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  • 8/2/2019 bai 10 - hinh 6

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    A B

    Cch 2:. Gp giy.

    pd f Mach ine - i s a pd f wr i te r tha t p roduces qua l it y PDF f i les w i th ease !

    Get yours now !

    Thank you very much! I can use Acrobat Distiller or the Acrobat PDFWriter but I consider your

    product a lot easier to use and much preferable to Adobe's" A.Sarras - USA

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  • 8/2/2019 bai 10 - hinh 6

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    A B

    Cch 2:. Gp giy.

    pd f Mach ine - i s a pd f wr i te r tha t p roduces qua l it y PDF f i les w i th ease !

    Get yours now !

    Thank you very much! I can use Acrobat Distiller or the Acrobat PDFWriter but I consider your

    product a lot easier to use and much preferable to Adobe's" A.Sarras - USA

    http://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?cl
  • 8/2/2019 bai 10 - hinh 6

    10/28

    A

    Cch 2:. Gp giy.

    B

    pd f Mach ine - i s a pd f wr i te r tha t p roduces qua l it y PDF f i les w i th ease !

    Get yours now !

    Thank you very much! I can use Acrobat Distiller or the Acrobat PDFWriter but I consider your

    product a lot easier to use and much preferable to Adobe's" A.Sarras - USA

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  • 8/2/2019 bai 10 - hinh 6

    11/28

    A

    Cch 2:. Gp giy.

    B

    pd f Mach ine - i s a pd f wr i te r tha t p roduces qua l it y PDF f i les w i th ease !

    Get yours now !

    Thank you very much! I can use Acrobat Distiller or the Acrobat PDFWriter but I consider your

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  • 8/2/2019 bai 10 - hinh 6

    12/28

    A

    Cch 2:. Gp giy.

    B

    pd f Mach ine - i s a pd f wr i te r tha t p roduces qua l it y PDF f i les w i th ease !

    Get yours now !

    Thank you very much! I can use Acrobat Distiller or the Acrobat PDFWriter but I consider your

    product a lot easier to use and much preferable to Adobe's" A.Sarras - USA

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  • 8/2/2019 bai 10 - hinh 6

    13/28

    A

    Cch 2:. Gp giy.

    B

    pd f Mach ine - i s a pd f wr i te r tha t p roduces qua l it y PDF f i les w i th ease !

    Get yours now !

    Thank you very much! I can use Acrobat Distiller or the Acrobat PDFWriter but I consider your

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  • 8/2/2019 bai 10 - hinh 6

    14/28

    A

    Cch 2:. Gp giy.

    B

    pd f Mach ine - i s a pd f wr i te r tha t p roduces qua l it y PDF f i les w i th ease !

    Get yours now !

    Thank you very much! I can use Acrobat Distiller or the Acrobat PDFWriter but I consider your

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  • 8/2/2019 bai 10 - hinh 6

    15/28

    A

    Cch 2:. Gp giy.

    B

    pd f Mach ine - i s a pd f wr i te r tha t p roduces qua l it y PDF f i les w i th ease !

    Get yours now !

    Thank you very much! I can use Acrobat Distiller or the Acrobat PDFWriter but I consider your

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  • 8/2/2019 bai 10 - hinh 6

    16/28

    A

    Cch 2:. Gp giy.

    B

    pd f Mach ine - i s a pd f wr i te r tha t p roduces qua l it y PDF f i les w i th ease !

    Get yours now !

    Thank you very much! I can use Acrobat Distiller or the Acrobat PDFWriter but I consider your

    product a lot easier to use and much preferable to Adobe's" A.Sarras - USA

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  • 8/2/2019 bai 10 - hinh 6

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    AB

    Cch 2:. Gp giy.

    pd f Mach ine - i s a pd f wr i te r tha t p roduces qua l it y PDF f i les w i th ease !

    Get yours now !

    Thank you very much! I can use Acrobat Distiller or the Acrobat PDFWriter but I consider your

    product a lot easier to use and much preferable to Adobe's" A.Sarras - USA

    http://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?clhttp://www.pdfmachine.com/?cl
  • 8/2/2019 bai 10 - hinh 6

    18/28

    A BM

    Cch 2:. Gp giy.

    pd f Mach ine - i s a pd f wr i te r tha t p roduces qua l it y PDF f i les w i th ease !

    Get yours now !

    Thank you very much! I can use Acrobat Distiller or the Acrobat PDFWriter but I consider your

    product a lot easier to use and much preferable to Adobe's" A.Sarras - USA

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  • 8/2/2019 bai 10 - hinh 6

    19/28

    Tit 12: TRUNG IM ca ON THNG

    1/ Trung im ca on thngMA B

    M l trung im ca AB thi:

    MA + MB = AB

    v MA = MB2/ Cch v trung im ca on

    A M B

    Cch 1: Dng thc c chia khongcch.

    Trn tia AB v AM =

    Cch 2: Gp giy

    Nhn xt: M l trung im ca onthng AB th: AB

    2

    MA = MB =

    AB2

    52=2,5cm=

    pd f Mach ine - i s a pd f wr i te r tha t p roduces qua l it y PDF f i les w i th ease !

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  • 8/2/2019 bai 10 - hinh 6

    20/28

    Neu dung mot si day e chia mot thanh gothang thanh hai phan dai bang nhau th lam thenao ?

    ?

    Tit 12: TRUNG IM ca ON THNG

    1/ Trung im ca on thng

    2/ Cch v trung im ca on thng

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    product a lot easier to use and much preferable to Adobe's" A.Sarras - USA

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  • 8/2/2019 bai 10 - hinh 6

    21/28

    Tit 12: TRUNG IM ca ON THNG

    2)M l trung im ca AB th:MA + MB = ABv MA = MB

    Hoc

    3) V trung im M ca on thng AB

    Bi 63(SGK-126): Chn cutr li ng:im I l trung im ca onthng AB khi:a) IA = IB

    =

    AB

    2

    MA = MB =

    Kin thc cn ghi nh

    1) nh ngha trung im ca on thng

    Cch 1: Dng thc c chia khongcch.

    Trn tia AB v AM=

    Cch 2: Gp giy

    Cch 3: Gp dy

    AB

    2

    c) AI + IB = AB v IA = IBd) IA =IB =

    p n ng c, dAB

    2

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  • 8/2/2019 bai 10 - hinh 6

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    Tit 12: TRUNG IM ca ON THNG

    1)M l trung im ca AB khi:MA + MB = ABv MA = MB

    Hoc

    2)V trung im M ca on thng AB

    AB

    2

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    Kin thc cn ghi nh Bi 61(SGK-126)

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    p n:

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    x XA BO2cm 2cm

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    + Li c OA=OB=2cm

    Vy O l trung im ca on thngAB

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  • 8/2/2019 bai 10 - hinh 6

    23/28

    Vi hnh nh v trung im ca on thngtrong thc t

    M

    A

    BCu B bnh

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  • 8/2/2019 bai 10 - hinh 6

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    Ko co

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  • 8/2/2019 bai 10 - hinh 6

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    Cn n

    A

    B

    M

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  • 8/2/2019 bai 10 - hinh 6

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    Hng dn hc nh

    - Phn bit: im nm gia. im chnh gia. Trung im.

    - Hc bi nm trc kin thc c bn.

    - Lm cc bi tp cn li trong SGK trang126

    - Tr li cu hi phn n tp chng I.

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  • 8/2/2019 bai 10 - hinh 6

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    Chn thnh cm n ccChn thnh cm n cc

    thy c gio v cc emthy c gio v cc emh c sinhh c sinh

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  • 8/2/2019 bai 10 - hinh 6

    28/28

    Tit 12: TRUNG IM ca ON THNG

    1)M l trung im ca AB khi:MA + MB = ABv MA = MB

    Hoc

    2)V trung im M ca on thng AB

    AB

    2

    MA = MB =

    Kin thc cn ghi nh

    Hng dn hc nh

    - Phn bit: im nm gia. imchnh gia. Trung im.- Hc bi nm trc kin thc c bn.- Lm cc bi tp cn li trong SGK

    Cch 1: Dng thc c chia khongcch.

    Trn tia AB v AM=

    Cch 2: Gp giy

    Cch 3: Gp dy

    AB

    2

    trang126-Tr li cu hi phn n tp chng I

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