6.梯 形
班级:________ 姓名:________
一、填空题
1.梯形的定义是:_____________________________________________________________
_______________________________________________________________.
2.等腰梯形的定义是:_________________________________________________________
_______________________________________________________________.
3.等腰梯形的性质是:_________________________________________________________
________________________________________________.
4.在梯形中,不是同一底上的两组角的比值分别为1∶3和3∶7,则四个角的度数为.
5.如图1,梯形ABCD中,AD∥BC,AC为对角线,AE⊥BC于E,AB⊥AC,若∠ACB=30°,BE=2.则BC=___________. 图1
6.直角梯形的定义是:_________________________________________________________
___________________________________________________________________________________________________________________________.
7.直角梯形一腰长16 cm,和一个底所成的角为30°,那么另一腰长________ cm.
8.等腰梯形的两底差等于腰长,腰与下底边的夹角为________,与上底的夹角为________.
9.满足条件的梯形是等腰梯形.
10.等腰梯形有下列性质:
①从角看:在同一底上的两个角________________________________________________;
②从边看:两腰_____________________________________________________________;
③从对角线看:两条对角线___________________________________________________;
④从图形的对称性看:是________对称图形.
二、选择题
1.如图2,梯形ABCD中,AD∥BC,设AC,BD交于O点,则图中共有对面积相等的三角形.( )
A.2 B.3 C.4 D.5
图2 图3
2.如图3,在直角梯形ABCD中,AB=4 cm,AD=4.5 cm,∠C=30°,则DC= cm,BC= cm( )
A.8,4 B.8 cm,(4.5+4) cm
C.4(+1)+,8 D.8 cm,