E-Book: Let's learn พีทาโกรัส

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    23-Jul-2015

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  • : 563050125-2 2

  • Lets Learn 241208 3 , .

  • 8 1

    9 15

    16 23

    -

    -

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  • ConceptConceptConcept

  • ?

    ?

    1

  • ABC ACB ( 90o) AB AC BC

    ^

    ___ ___

    ___

    2

  • :

    ?

    ?

    3

  • ?

    (1)

    (2)

    ABC

    MNO

    ?

    4

  • ABC ACB

    c AB a BC b AC

    c2=a2+ b2

    ___

    ___

    ___

    ^

    5

  • 6

  • 1 c

    c2 = 82+152 = 64 + 225 = 289

    = 17x17 c = 17 17

    ?

    7

  • 2 a

    242 = 252+a2 a2 = 252-242 = 625-576 = 49 = 7x7 a = 7 7

    8

  • ? 3,000 . . .

    9

  • ABC ACB BC 3 , AC 4 AB 5 ABIH, BCED ACGF AB , BC AC

    ABIH 52 = 25 BCED 32 = 9

    ACGF 42 = 16 25 = 9+16

    ABIH BCED ACGF

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  • ? ..

    11

  • ?

    1 20 12

    x 202= 122 + x2 x2 = 202-122 = 400 144 = 256 = 17x17 x = 17 17

    12

  • 2 ABCDEFGH AF 8 AB 12 BC 9 FC ___

    AFC FAC FC2 = AF2 + AC2(1) AC2 ABC ABC ABC AC2 = AB2 + BC2..(2) (2) (1) ; FC2 = AF2 + (AB2 + BC2) = 82+ (122+92) = 64 + 144 +81 = 289 = 17 x 17 FC = 17 FC 17 17

    ^

    ___

    ^

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  • 3 6 400 306

    B A C AP PQ = AB PQ BC Q AB = PQ = 400 BC = 306 AP = BQ = 6 CQ = 306-6 = 300

    PQC PQC PC2 = PQ2 + CQ2 = 4002 + 3002 = 160,000 + 90,000 = 250,000 = 500 X 500 PC = 500 500 500

    ^

    14

  • ...

    ...

    Finish 15

  • ... !!

  • 16

    .. ? ... !!?? :)

    Write it down

  • 13 1 3, 4 5 5 ... ?...

    17

  • ABC a, b c c2 = a2 +b2 ABC

    18

  • ABC AB = c , BC = a , AC = b c2 = a2 +b2 ABC ACB

    DEF EF DF a b DFE

    ^

    19

    ^

  • EF = BC = a DF = AC = b () DEF DE2 = a2 + b2 () ABC c2 = a2 + b2 ( ) DE2= c2 () DE = c DEF ABC (--) DFE = ACB = 90o ( ) ABC ACB

    ^ ^

    ^

    20

  • ABC ABC

    ?

    21

  • ?

    -

    22

  • ...?

    6.5 2.5 1. 2. 6

    1,800 2.4

    23

  • . (2553). . : . .