單 元 教師手冊 等差數列 1
1 2 3 4 5 n n 6 n 7 2
1 n 2 3 n 4 a 1 a 1 d a 1 2 d n a n a 1 n 1 d 5 a n a 1 n 1 d 6 N-8-3 N-8-4 8-n-05 8-n-06 8-n-07 3
n n n 4
1 2 3 1 2 3 1 2 3 4 5
1 1 1, 3, 5, 7, 9 2, 9, 5, 4, 3 1, 1, 2, 3, 5, 8 5, 5, 5, 5, 5, 5 2, 4, 8, 16, 32 8, 5, 2, 1, 4 2 1 1, 8, 15, 22, 29 1 2 1, 8, 15, 22, 29 7 P2 6
P2 1 7 教學建議事項 7 7
2 1, 2, 4, 1 2 2 3 104 10 1 0, 5, 20, 30, 45, 55, 70, 80, 95, 105, 120, 130, 1 2 5, 15, 10, 15, 10, 15, 10 P3 8
P3 2 1 8 2 16 3 n 2 n 3 1 2 5, 15, 10, 15, 10, 15, 10 教學建議事項 9
4 1 2 3 5 8 13 21 34 5 3 5 8 13 21 34 55 89 3 5 8 13 21 34 55 89 http //www.twwiki.com/wiki/%e8%b2%bb%e6%b0%8f%e6%95%b8%e5%88%97 3, 5, 8, 13, 21, 34, 55, 89 1 2 3 5 8 5 8 13 8 13 21 13 21 34 P4 10
P4 4 1 http //www.twwiki.com/wiki/%e8%b2%bb%e6%b0%8f %E6%95%B8%E5%88%97 2 教學建議事項 1 2 11
3, 5, 8, 13, 21, 34, 55, 89 3 1 a 1 5 2 a 2 8 3 a 3 8 n a n a n n n a 1 3 a 2 5 a 3 8 a 4 13 a 5 21 a 6 34 a 7 55 a 8 89 x y z Francois Viete 1540-1603 a e i o u Rene Descartes 1596-1650 x y z 任務 1 11, 3, 5, 7, 9, 2 2 2, 4, 6, 8, 10, 2 31, 1, 1, 1, 1, 41, 5, 7, 5, 6, 17, P5 12
P5 1 2 1 1 2 3 1, 5, 9, 13, 17 3, 7, 11, 15, 19, 23 4 1, 3, 9, 27, 81 3 教學建議事項 0 120, 18, 16, 14, 12, 10, 8, 6 2 6, 6, 6, 6, 6, 6, 6, 6 13
練習 1 http //www.pilio.idv.tw/ 3, 6, 8, 15, 20, 30, 40 1 2 3 7 3 40 練習 2 0, 20, 40, 60,, 240 1 2 20 3 13 0 240 練習 3 14 2, 4, 8, 1 2 2, 4, 8, 2 P6
P6 1 2 教學建議事項 1 0 240 a 0 a 240 a 1 0 a n 240 3 2, 4, 8, 1 16 2 32 3 n 2 n 15
2 1 2 3 4 任務 2 1 2 3 4 5 6 a 1 a 2 a 3 a 4 a 5 a 6 1 4 9 16 25 36 任務 3 0 1, 4, 9, 16, 25, 36, 10 10 100 P7 16
P7 1, 4, 9, 16, 1, 1+3, 1+3+5, 1 1 2, 4 2 2, 9 3 2, 16 4 2, 0 p 2 3 0 17
練習 4 1 5 1 2 3 4 5 1 1 7 2 1 7 1 1 7 1, 1, 4, 4, 9, 9, 16 2 1 7 0, 2, 2, 6, 6, 12, 12 練習 5 6 12 91 6 12 18 24 30 36 42 6, 12, 18, 24, 30, 36 18 P8
P8 4 5 教學建議事項 1 2 3 4 教學建議事項 1 1 4 4 9 4 1 0 18 2 0 36 19
3 4 33 4 35 1 3 4 2 5 9 7 11 8 12 6 10 任務 4 4 1 4 3 4 4 2 P9 20
P9 1 2 4 教學建議事項 21
1, 5, 9, 13, 17, 9 5 1 4 9 5 4 4 4 9 1, 5, 9, 13, 17, 4 a 1 1 a 2 5 1 4 1 1 4 a 3 9 1 8 1 2 4 a 4 13 1 12 1 3 4 a 5 17 1 16 1 4 4 a 1 a 2 a 3 a 4 a 5 1 5 9 任務 5 4 4 4 1 4 3 4 2 5 7 4 8 6 9 11 12 10 4 13 17 a 6 a 7 a 8 a 9 a 10 21 25 29 33 37 P10 22
P10 5 23
任務 6 4 3 35 4 8 3 任務 7 10 a 1 a 2 a 3 a 4 a 5 a 6 a 7 a 8 a 9 a 10 3 7 11 15 19 23 27 31 35 39 4 8 12 16 20 24 28 32 36 40 練習 6 1 3, 5, 8, 13, 21, 34, 55, 89, 144 2 5, 5, 5, 5, 5, 5, 5 1 2 0 練習 7 1 4, 11,, 28, 25 32 2 4, 2,, 0, 2 4 24 P11
P11 6 4 33 教學建議事項 35 4 8 3 8 7 6 7 11 4 7 2 4 2 教學建議事項 2 25
4 n 任務 8 1, 3, 5, 7, 9 任務 9 1 3 5 7 9 11 13 15 17 19 P12 26
P12 8 9 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 2 9 1 2 9 27
1, 3, 5, 7, 9,... 1 2 a 1 1 a 2 3 1 2 a 3 5 1 4 a 4 7 1 6 a 5 9 1 8 2, 4, 6, 8 2 a 1 1 a 2 3 1 2 1 1 2 a 3 5 1 4 1 2 2 1 2 2 a 4 7 1 6 1 2 2 2 1 3 2 a 5 9 1 8 1 2 2 2 2 1 4 2 P13 28
P13 29
1, 2, 3, 4 a 1 1 a 2 3 1 2 1 1 2 1 2 1 2 a 3 5 1 4 1 2 2 1 3 1 2 a 4 7 1 6 1 3 2 1 4 1 2 a 5 9 1 8 1 4 2 1 5 1 2 a 1 a 2 a 3 a 4 a 5 1 3 5 7 1 1 2 1 4 1 6 9 1 8 1 1 1 2 1 2 2 1 3 2 1 4 2 1 1 2 1 2 1 3 1 2 1 4 1 2 1 5 1 2 1 2 a 5 P14 30
P14 13 14 31
任務 10 1 10 1 2 1+9 2 19 任務 11 1 30 1 2 1+29 2 59 n a n d a 1 1 a n a 1 n 1 d 23 1 23 1 2 1 22 2 45 n a1 d n an a1 n 1 d P15 32
P15 10 11 n 1 23 33
任務 12 40 1 1, 2, 3, a 40 40 練習 8 13 3 a 20 13 20 1 3 13 57 70 練習 9 5 19 a 1 9 a 10 54 34 P16
P16 12 40 1 1 1, 2, 3, a 40 40 2 2 1, 3, 5, a 40 1 40 1 2 79 3 2 2, 4, 6, a 40 2 40 1 2 80 4 3 1, 4, 7, a 40 1 40 1 3 118 5 8 9 1 4 10 2 10 3a 3 a 1 2d 5 a 5 a 1 4d 19 2d 14 d 7 a 1 9 a 10 a 1 9d 54 35
5 49 51 52 50 45 47 48 46 41 43 44 42 任務 13 10 a 1 a 2 a 3 a 4 a 5 a 6 a 7 a 8 a 9 a 10 50 46 42 38 34 30 26 22 18 14 50 4 任務 14 3 52 3 12 52 12 n 1 2 n 21 21 P17 36
P17 13 1 2 教學建議事項 1 2 14 1 1 5 1 3 5 2 19 3 2 50 a 50 2 50 1 2 100 37
練習 10 0 500 30 17 1 76, 82, 88, 94, 100, 108 1 2 6 8 3 6 76 108 38 P18
P18 10 500 30 16 20 16 1 17 a n 500 30n 500 30n 0 n 16 2 3 n 17 a 1 470 d 30 a n 470 n 1 30 500 30n 0 n 16 2 3 n 17 教學建議事項 1 39
2 20 2 24 1 1 20, 22, 24, 26, 28,... 30 20 22 24 2 2 20 2 20 24 1 2 56 P19 40
P19 2 4 2 41
3 1 1 18 13 18 2 18 14 18 3 18 15 18 4 18 16 18 5 18 17 18 6 18 18 18 7 18 19 18 8 18 20 18 9 18 21 18 10 18 22 18 11 18 23 18 12 18 24 18 1 18 2 3 24 18 18 4 20 166 90.2 1 cm 80 70 60.2 2 88.7 75.2 3 20 20 60.2 P20 42
P20 3 0 4 43
2552 3 100 0.6 452 任務 1 2552 100 1 n a 1 2552 1 3 a 2 2552 2 1 100 2452 2 3 2 1 0.6 2.4 a 3 2352 3 1.8 a 4 2252 4 1.2 a 5 2152 5 0.6 a n 2552 n 1 100 452 22 9.6 1 44
任務 2 452 2552 n 1 100 452 n 22 任務 3 2552 100 1 任務 4 452 3 22 1 0.6 3 12.6 9.6 45
100 0.6 100 0.6 3952 任務 1 2552 100 2 n a 1 2552 1 3 a 2 2552 2 1 100 2652 2 3 2 1 0.6 3.6 a 3 2552 1 100 2752 3 3 1 0.6 4.2 a 4 2552 1 100 2852 4 3 1 0.6 4.8 a 5 2552 1 100 2952 5 3 1 0.6 5.4 a n 2552 1 100 3952 15 3 1 0.6 11.4 2 46
任務 2 3952 2552 n 1 100 3952 n 15 任務 3 2552 100 2 任務 4 3952 3 15 1 0.6 3 8.4 11.4 47
25 8 25 25 8 8 7 8 3 43 8 8 8 3 48 43 2 48 2 132 132 48