2024年人教版九年级上册数学同步学与练第二十三章旋转第01讲图形的旋转（解析版）.pdfVIP

01

1.

2.

3.

4.

知识点01旋转的概念

1.

O

O

2.

PPAB

ABABCABC

1

1①②③④⑤

⑥

A2B3C4D5

①

②

③

④

⑤

⑥

C

2

2AOBAOBAOA90,

,A,AB,B,

BOB

OAOAAAAB

ABBBBOBAOA90

OAOAAABB90

2

3ABCADE

AABE

BCBD

CACE

DDAD

ABCADE

ABDCE

ABDC

C

知识点02旋转的性质

1.

1

4

A

B

C

D

A

B

C

D

C

2

5ABCB35BAC70ABCAα0α180

ADEEBCα

A30B35C40D

B35BAC70

C180BBAC75

ABCAα0α180ADEEBC

ACAECAEα

AECC75

CAEα180AECC30

A

3

6RtABCC90BC3AC4ABCBABCC

ABAA

C90BC3AC4

AB5

ACAC4BCBC3CBCA90

ACABBC532ACA180BCA90

AA2

2

4

71ABCDA30ABCD

ABC1D1

BCCDEAE

RtABERtADE

RtABERtADEHL

DAEBAE

30

DAB60

DAE6030

DE1

11211

C

知识点03旋转作图

1.

1

8ABCDP

ABCDABCDP150

ABCD

2

9ABCOAA

知识点04旋转对称图形

1.

90

180

2.

1

10120

ABCD

A120

B