# 勾股定 理的用法及启发 - PowerPoint PPT Presentation

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a2+b2=c2

B

C

A

1ABCABC90AC26mBC24mAB

B

C

A

1ABCABC90AC26mBC24mAB

ABC90

RtABC,

AB2=AC2-BC2=262-242=100

AB0

AB=10(m)

AB10m

ACB90

RtABC,

AB2=AC2+BC2=62+82=100

AB=10(cm)

AE=AC=6(cm)

BE= AB- AE=10-6=4(cm)

BED = AED=ACB90

CD=DE=xcm,

DB=8-x(cm)

RtDBE,

DB2=DE2+BE2

(8-x)2=x2+42

x=3

CD=3cm.

6

10

6

4

x

x

8-x

8

A

B

C

3S1S2S3

A

B

C

R1,R2,R3,

S1=R12S2=R22S3=R32

RtABC,

BC2+AC2=AB2

(2R1)2+ (2R2)2= (2R3)2

R12+ R22= R32

R12+R22=R32

123.AAB(3).

C

B

B

A

A

RtABCAB15

9

12

15

ABCAB=AC=10cm,

BC=6cm,

A

B

C

A

B

C

D

:

(1)

(2)

(3)