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THE CHINESE UNIVERSITY OF HONG KONG EDD 5161R

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Presentation on theme: "THE CHINESE UNIVERSITY OF HONG KONG EDD 5161R"— Presentation transcript:

1 THE CHINESE UNIVERSITY OF HONG KONG EDD 5161R
Educational Communications and Technology Group Project

2 二次三項式的因式分解 幾何圖形法

3 I. 性質 數學活動 II. 對象 中三級

4 III. 學生已有知識 (a) 正方形及長方形面積計算方法 (b) 代數加減法 (c) 兩個二項式的展開

5 IV. 活動簡介 (a) 解釋正方形,長方形及細正方形所 代表的代數意義
(b) 幻燈片展示圖形,要求學生寫出對 應的代數式(練習1至練習6) (c) 幻燈片展示代數式,要求學生寫出 對應的圖形(練習7至練習12)

6 IV. 活動簡介 (d) 幻燈片展示兩個一次式的乘積,要求 學生利用圖形展開并寫出對應的代數 式的答案(練習13至練習17)
(e) 幻燈片展示二次三項式,要求學生利 用圖形作出分解并寫出代數式的答案 (練習18至練習25) (f) 用圖形法論証 (x + 1)2  x2 + 1

7 學生所須的用具 8 cm 4 個 1 支 8 cm 8 cm 3cm 8 個 1 張 3 cm 12 個 3 cm

8 的面積 = x x2 x 的面積 = x 1 的面積 = 1 1

9 將下列圖形寫成代數式 練習 1 = 2x2 跳至練習 7

10 練習 2 = x2 + 3x 跳至練習 7

11 練習 3 = x2 + 2 跳至練習 7

12 練習 4 = 2x2 + 5x + 2 跳至練習 7

13 練習 5 = (x + 2) (x + 3) 跳至練習 7

14 練習 6 = (x + 1)2 跳至練習 7

15 將下列代數式變成圖形練習 7 x2 + 3x + 2 = 跳至練習 13

16 練習 8 x2 + 5x = 跳至練習 13

17 練習 9 2x = 跳至練習 13

18 練習 10 (x + 1) (x + 3) = 跳至練習 13

19 練習 11 x (2x + 3) = 跳至練習 13

20 練習 12 (x + 2)2 = 跳至練習 13

21 EXPAND (乘開) 練習 13 (x + 2) (x + 4) = = x2 + 6x + 8 跳至練習 18

22 練習 14 x (x + 2) = = x2 + 2x 跳至練習 18

23 練習 15 (x + 2) (2x + 3) = = 2x2 + 7x + 6 跳至練習 18

24 練習 16 (x + 3)2 = = x2 + 6x + 9 跳至練習 18

25 練習 17 (2x + 1) (2x + 3) = = 4x2 + 8x + 3 跳至練習 18

26 FACTORIZE (分解) 練習 18 x2 + 3x + 2 = = (x + 1) (x + 2) 跳至小實驗

27 練習 19 x2 + 6x + 9 = = (x + 3)2 跳至小實驗

28 練習 20 x2 + 3x = = x (x + 3) 跳至小實驗

29 練習 21 2x2 + 5x = = x (2x + 5) 跳至小實驗

30 練習 22 2x2 + 5x + 3 = = (2x + 3) (x + 1) 跳至小實驗

31 練習 23 3x2 + 5x + 2 = = (3x + 2) (x + 1) 跳至小實驗

32 練習 24 x2 + 8x = = (x + 6) (x + 2) 跳至小實驗

33 練習 25 4x2 + 4x + 1 = = (2x + 1)2 跳至小實驗

34 小實驗 試展開 (x + 1)2 = x 2 + 1 = x 2 + 1 = x2 + 2x + 1

35 THE END

36 Designed by Group 20 Chan Christina 97052520 Cheng Wai Tung 97050960
Ho Chin Hung Lam Wing Hong


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