Summer 2014 4-5

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    1

    "2014

    ' ' 4-5"

    . .

    ! ' " "

    " ://...//////

    .

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    2

    . ,

    .

    . .

    :

    ====

    ++++

    : : 0, 1.5

    ==== . ?, . . .

    2

    3

    4

    x 4 4y 100a2 25. .

    . .

    .

    8x2+ 6x25m2 4

    1

    ====

    ====++++

    ++++

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    f(x):

    f(x) = 2(x 1)2 8f(x) = 2(x + 1)(x 3)f(x) = 2x2 4x 6

    . .. , :

    - - - . . f(x), .

    7

    8

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    :1(y = x

    22(y = (x 3)2

    3(y = (x + 3)2

    . .. ?. ?. )2( )1(?. ))3 )2(?

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    15. ,12 , . .

    ) 1025"(, , , f(x) = 4x + 19

    x ) (,-f(x) . ) 45"(, ,

    , 3

    19x

    3

    26g(x) ++++====

    : 4 3535=f(4) = 4.4 +19. .

    161210521 47

    . .161210521

    56

    . -f(x)-g(x). .

    . ? ?

    . f(10),g(10). ?. x :g(x) > f(x)

    ? . x :

    (i) f(x) = 51 (ii) 3

    169)x(g = ?. .)i(f(2) g(2))ii(f(10) g(10)

    x

    y

    14

    13

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    A

    BC

    D

    E

    1.5'

    2'28'

    -20% . 1,280".

    ). ). 30% .

    AF?

    . 20,' .

    , " : . 1.5,' .

    , ."

    . ?

    .

    15

    A

    B C D

    F E

    16

    17

    *

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    LGKC. M .CK

    RC LM,EK GM.

    :LCM. GKM. :CRM. KEM.. EGK. .:(.:REIICK. REM?(

    PEN ).) .H = 90 ET .

    S NE. SHEN .

    :. .. , .

    ) .( , .;o30=ACD":4

    )1 .)2

    ( ).

    22

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    o90=AOB).(

    . : .. : .. .: .:AON

    ).)o90=B .

    : .. ..

    . : .

    ).( . CBA.

    . . .. 10"=. .

    30

    27

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    . : , .

    . . ).(

    . . :o90=AFC.

    , .. ?.=

    . .

    .

    . ' .

    ! "."

    32

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