數學教學 實踐與探索 (二) 內地與香港教師交流及協作計劃 2007-2008 年度 教育局 校本支援服務處 校本專業支援組 School-based Professional Support Section School-based Support Services Office Education Bureau MathsExchange-A11.indd 1 8/12/08 2:08:12 PM
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t T 16 MathsExchange-A11.indd 16 8/12/08 2:08:49 PM
aa a a 17 MathsExchange-A11.indd 17 8/12/08 2:08:54 PM
a a a a a a a a a a a a 18 MathsExchange-A11.indd 18 8/12/08 2:08:56 PM
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t T 26 MathsExchange-A11.indd 26 8/12/08 2:09:20 PM
x x x i i 27 MathsExchange-A11.indd 27 8/12/08 2:09:25 PM
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x abm xx x x abxy x ABCD 29 MathsExchange-A11.indd 29 8/12/08 2:09:28 PM
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cm cm cm cm cm x x xx x x x 31 MathsExchange-A11.indd 31 8/12/08 2:09:30 PM
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t T 34 MathsExchange-A11.indd 34 8/12/08 2:09:51 PM
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t T I II 44 MathsExchange-A11.indd 44 8/12/08 2:10:17 PM
C 45 MathsExchange-A11.indd 45 8/12/08 2:10:22 PM
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x 48 MathsExchange-A11.indd 48 8/12/08 2:10:25 PM
xxx xyyx y x x y x x xx x y 49 MathsExchange-A11.indd 49 8/12/08 2:10:26 PM
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y log 3 x y x x x 52 MathsExchange-A11.indd 52 8/12/08 2:10:29 PM
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t T xyy x x x x 58 x y MathsExchange-A11.indd 58 8/12/08 2:10:47 PM
n n n n n n n n n n n n n n n 59 MathsExchange-A11.indd 59 8/12/08 2:10:52 PM
H V Vh 0 H h V h H 0 H H h 60 ABCD A E E ABEC F BD F DEF D C CBF B MathsExchange-A11.indd 60 8/12/08 2:10:54 PM
S Δ DCES Δ DCBS Δ DCF EE A DEF CBF A E B F D C ABx y x y xy x y xy x y xy x y xy B A 0 x y x x x x x x x x 61 MathsExchange-A11.indd 61 8/12/08 2:10:55 PM
x x x ABCD EF G BCCDDA AEAF BADBG ABCAE AF BG H IGIFGHE G D I H F E C A B ABCD D G F C ABCD GIF GHE I H E GIF GHE A C B 62 MathsExchange-A11.indd 62 8/12/08 2:10:56 PM
y ax x b ab ab ab ab 0 y x ax y b y bx b b b 3 3 3 63 MathsExchange-A11.indd 63 8/12/08 2:10:57 PM
b b A BP x y AP PBP x y p xy x y APPB a n a S S ns n n 64 MathsExchange-A11.indd 64 8/12/08 2:10:58 PM
n n n S n d n a d n a S S d O 3 5 7 n n= 3 + 7 = 5 2 nn S n sin x = lg x f(x)= sin x g(x)= lg x x g(x) xg(x)f(x) = sin x xf(x)= sin xg(x)lg x y = sin x sin x = lg x 65 MathsExchange-A11.indd 65 8/12/08 2:10:59 PM
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2 5 2 3 2 5 2 3 = 4 15 2 2 5 3 2 5 2 5 2 3 2 5 4 15 2 5 2 3 4 15 76 MathsExchange-A11.indd 76 8/12/08 2:11:27 PM
1 2 1 2 1 4 1 2 1 3 2 3 2 5 2 3 = 1 4 = 1 8 = 2 9 = 4 15 77 MathsExchange-A11.indd 77 8/12/08 2:11:28 PM
t T 78 MathsExchange-A11.indd 78 8/12/08 2:11:29 PM
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1 2 1 2 81 MathsExchange-A11.indd 81 8/12/08 2:11:37 PM
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40 36 30 24 27 20 16 10 0 115 MathsExchange-B10.indd 115 8/12/08 2:43:06 PM
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t T 204 MathsExchange-C5.indd 204 8/12/08 3:07:23 PM
1 4 205 MathsExchange-C5.indd 205 8/12/08 3:07:28 PM
6 1 6 4 4 9 1 6 4 9 206 MathsExchange-C5.indd 206 8/12/08 3:07:30 PM
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t T xxxx x x xx x 2x -3x x 2 208 MathsExchange-C5.indd 208 8/12/08 3:07:32 PM
xxxx 1 x x x 2 x 1 2 x x 4 ab a b 1 2 ab 2 xx x x xxx x x x 2(3x + 4) = 18 3x + 4 2 = 5 x 2(3x + 4 4) = 18 4 3x + 4 4 = 5 4 2 x x x x 209 MathsExchange-C5.indd 209 8/12/08 3:07:37 PM
x 210 MathsExchange-C5.indd 210 8/12/08 3:07:39 PM
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t T 212 MathsExchange-C5.indd 212 8/12/08 3:07:40 PM
2 0 + 2 1 + 2 2 + 2 3 +... + 2 63 = 2 64 1= 18466744073709551615 n n 0 1 2 3 63 64 2 + 2 + 2 + 2 +... + 2 = 2 1= 18446744073709551615 213 MathsExchange-C5.indd 213 8/12/08 3:07:45 PM
Tn ( ) Tn ( 1) = d Tn ( ) = r ( r 0) Tn ( 1) T(n) = a+(n-1)d Tn ( )= a r n 1 214 MathsExchange-C5.indd 214 8/12/08 3:07:47 PM
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