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探索勾股定理 PowerPoint PPT Presentation


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探索勾股定理. 情境引入. 俄国伟大的文学家列夫 · 托尔斯泰在他所著的 《 一个人需要很多土地吗? 》 中写了一个发人深思的故事:一个叫巴河姆的人到草原上去购买土地,卖地的人提出了一个非常奇怪的地价: “ 每天 1000 卢布。 ”

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探索勾股定理

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1000

1000 811.0668217

2

17

8


C

A

C

B

1-1

A

B

1-2

11-1

AA

9

9

B

9

C

18

2

1

2

3


C

C

A

B

C

A

B

a=12

b=13

1-1

1-2


C

A

C

B

1-1

A

B

1-2


C

A

C

B

1-1

A

B

1-2

C6


C

A

C

B

1-1

A

B

1-2

21-2ABC

31-1ABC

SA+SB=SC

3


C

A

B

C

A

1-3

B

1-4

11-31-4

A

B

C

1-3

16

9

25

1-4

4

9

13


C

A

B

C

A

1-3

B

1-4


C

A

B

C

A

1-3

B

1-4

2ABC

SA+SB=SC


C

A

B

C

A

1-3

B

1-4

1

2

35122


c

a

b

gou-gu theorem)

ab,c


2974

29745846

74



A

A

E

B

C

B

1

2ABAB400300BAB

3AB25kmCDDAABACBABB,DA15kmCB10kmABECDEEA

D


c

a

b

P6 1.1 1234

4



a

c

b


A

abc

C

B

+ =


345


Euclid

Pythagoras


19451815


345


1

2

X=m2-n2 y=2mn z=m2+n2

(mnmn)



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