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第三章《图形的平移与旋转》单元测试题

第三章《图形的平移与旋转》单元测试题
第三章《图形的平移与旋转》单元测试题

第三章《图形的平移与旋转》单元测试题

班级 姓名 学号 成绩

一、选择题:(每小题4分,共32分)

1、将图形按顺时针方向旋转900

后的图形是( )

A B C D

2、图案(A )-(D )中能够通过平移图案(1)得到的是( )

.

(1) (A ) (B ) (C ) (D ) 3、如图可以看作正△OAB 绕点O 通过( )旋转所得到的

A 、3次

B 、4次

C 、5次

D 、6次

(第3题) (第4题) (第5题)

4、如图,ΔABC 和ΔADE 均为正三角形,则图中可看作是旋转关系的三角形是( ) A 、ΔABC 和ΔADE B 、ΔABC 和ΔABD C 、ΔABD 和ΔACE D 、ΔACE 和ΔADE

5、如图,△ABC 和△DEF 中,一个三角形经过平移可得到另一个三角形,则下列说法中不正确的是( ).

A 、A

B ∥FD ,AB =FD B 、∠ACB =∠FED

C 、B

D =C

E D 、平移距离为线段CD 的长度 6、如图,将△ABC 绕点A 旋转后得到△ADE ,则旋转方式是( ). A 、顺时针旋转90° B 、逆时针旋转90° C 、顺时针旋转45° D 、逆时针旋转45°

7、如图,△ABC 是等边三角形,D 为BC 边上的点,∠BAD =15°,△ABD 经旋转后到达△ACE 的位置,那么旋转了( ). A 、75° B 、60° C 、45° D 、15°

8、将一圆形纸片对折后再对折,得到右图,然后沿着图中的虚线剪开,得到两部分,其中一部分展开后的平面图形是( )

二、填空题:(每小题4分,共24分)

11、平移不改变图形的 和 ,只改变图形的 。

12、经过旋转,对应点到旋转中心的距离___________.

13、图(1)绕着中心最小旋转 能与自身重合。

(第13题) (第14题) (第16题)

14、如图,四边形ABCD 平移到四边形A'B'C'D' 的位置,这时可把四边形A'B'C'D' 看作先将四边

形ABCD 向右平移 格,再向下平移2格。 15、钟表的分针匀速旋转一周需要60分,它的旋转中心是___________,经过25分,分针旋转

___________度。

16、如图,把大小相等的两个长方形拼成L 形图案,则∠FCA = 度。

三、解答题:(17~20每小题5分,21~24每小题6分,共44分)https://www.doczj.com/doc/868165064.html,

17、如图,经过平移,△ABC 的顶点A 移到了点D ,请作出平移后的三角形。

(第17题) (第18题)

18、如图所示,在边长为1的网格中作出 △ABC 绕点A 按逆时针方向旋转90o后的图形△A 1B 1C

1

A

B

C D

F

E

D

C

B

A

19、如图是日本“三菱”汽车的标志,它可以看作是由什么“基本图案”通过怎样旋转得到的?每

次旋转了多少度?(可以自己标上字母进行回答)

20、利用平移、旋转、轴对称分析下面两个图案的形成过程。 (说出任意一种形成过程即可)

21、如图,四边形ABCD 的∠BAD=∠C=90o,AB=AD,AE ⊥BC 于E,BEA ?旋转后能与DFA ?重合。 (1)、旋转中心是哪一点?

(2)、旋转了多少度?

(3)、若AE=5㎝,求四边形AECF 的面积。

22、如图,将一个矩形ABCD 绕BC 边的中点O 旋转900

后得到矩形EFGH.已知AB=5cm,BC=10cm,求图中阴影部分面积.

C

G

23、在四边形ABCD 中,∠ADC=∠E=900

,DB ⊥AE,垂足为B,且DB=EB=5,请用旋转图形的方法求四边形

AECD 的面积.

24、如图,矩形ABCD 中,AB =3,BC =4,将该矩形沿对角线BD 折叠,则图中阴影部分的面积是多少?

B

A

C

D

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