# 黄金分割 - PowerPoint PPT Presentation

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A

C

B

AC

BC

AB

AC

A

B

C

AC

AB

=

BC

AC

AC

BC

=

AB

AC

AC

BC

=

AB

AC

√5 – 1

2

: 1

0.618 : 1

=

AC2=AB∙BC

AC 与AB 的比叫做黄金比.

E

B

A

BC

AB

BE

BC

C

D

F

=

（Parthenom Temple）

E

B

A

D

C

F

BC

AE

BC

AE

BC

BE

AB

BE

AB

BE

AB

AB

AB

BC

AE

BC

=

=

=

（即 ）是黄金比

1.点E是AB的黄金分割点吗？

2.矩形ABCD的宽与长的比是

• 1.经过点B作BD⊥AB,使

A

B

• 3.在AB上截取AC=AE.

• 4.C点就是AB的黄金分割点

D

C

3-√5

2

√5

2

1

2

√5 – 1

2

（1）如果设AB=1，那么

BD=

AC=

BC=

（2）如果设AB=2呢？

B

C

A

D

1.通过建筑、雕塑、绘画等领域的实例了解黄金分割，感受了黄金分割的美。

2.进一步理解线段的比、成比例线段等相关内容。

3.通过作图找到一条线段的黄金分割点，并利用已学知识给予了说明。