1000021 h t t p : / / w w w. k n s i. c o m. t w 248 30 407 40 813 2722F (02)2299-9006 (02)2299-9110. 100 KANG SI 第一期 vol.1 P.2 P.6 P.10 GGBGeoGebra P.13 1
以易經中簡易 變易 不易之原則探求遞迴數列之例 2 n 2
一 解決過程 : n 二 分析思考路徑 : 1. (1)() (a) (b) 4 3 () 3
(a)(b) (a) (b) (c) (d) 4 6 6 7 () (a)(b)(c)(d) () (d) (2) 1 2 3 1 () (a) (b) (c) () (a)(b)(c) (b) (a) (c) 3 3 (b) 3 (c) 2. (2) (a)(b)(c) 4
3. 5
高中生常見的遞迴關係式 2,, 1. 2. 3. 4. 1, α 1 n, 6 ()
a 1 =2 a 2 =4 a 3 =7, 2 α 1 2 a 1 =1 a n a n = n 7
3 n 1 2 s 3 A n n A C B = A n B, n, A B n C 1 B C, 4 Fibonacci11701250 1 1, 1 1 = 8
n 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 1 2 3 5 8 13 21 34 55 89 144 233 377 n < > n < > n 46,, (1) (2) 13 4 99 F n+2 = F n+1 + F n 9
GGB GeoGebra 來探討拋物線的美妙性質 4 GeoGebra GeoGebra GeoGebra GeoGebra GeoGebra GeoGebra P F P() ()FQ P () Q P F F Q M F Q F Q () Q 10
P F PP P P F () A F A B A A F A F A F B () Q P M F Q F F M M () F Q () () P A F M B Q O () 11
()O P O Q F B QFB 1 2 O A 6 7 F M B 8 3 5 4 9 10 O Q ()1 =22 () 3 PQM 2 =3 3 FB 43 =4 1 =2=3=4=5 6 =7=8=9=10 FAOFOP BOQ O P 1 2 AFP () BFQ F A 7 6 M 9 4 8 5 10 3 B O Q () GeoGebra 12
數學偵探物語 1994 Sunday 70 20051 ( CBS )( Numb3rs ) () ( Donald J. Sobol )( Encyclopedia Brown series ) 1. ( ) 2. ( ) 3. ( ) (Crimes demeanors ) ( Leith Hathout ) 200911 13
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