配套习题- 双等边三角形中的全等问题 -【青果学院】

1/5单选题

难度：

1.

如图，△ABD与△AEC都是等边三角形，若∠ADC=15°，则∠ABE的度数为（）

A	15°
B	20°
C	C 55°
D	35°

正确答案：QQ==

PGRpdj7op6PvvJriiLXilrNBQkTlkozilrNBQ0Xpg73mmK/nrYnovrnkuInop5LlvaLvvIw8L2Rpdj48ZGl2PuKItEFEPUFC77yMQUM9QUXvvIw8L2Rpdj48ZGl2PuWPiOKIteKIoERBQiviiKBCQUM94oigRUFDK+KIoEJBQ++8jDwvZGl2PjxkaXY+4oi04oigREFDPeKIoEJBRe+8jDwvZGl2PjxkaXY+4oi04pazQURD4omM4pazQUJF77yIU0FT77yJLjwvZGl2PjxkaXY+5Y+I4oi14oigQURDPTE1wrDvvIw8L2Rpdj48ZGl2PuKItOKIoEFCRT3iiKBBREM9MTXCsC48L2Rpdj4=

2/5单选题

难度：

2.

如图，在△ABD和△ACE都是等边三角形，则△ADC≌△ABE的依据是（　　）

A	SSS
B	ASA
C	SAS
D	AAS

正确答案：Qw==

PGRpdj7op6PvvJriiLXilrNBQkTlkozilrNBQ0Xpg73mmK/nrYnovrnkuInop5LlvaLvvIw8L2Rpdj48ZGl2PuKItEFEPUFC77yMQUM9QUXvvIw8L2Rpdj48ZGl2PuWPiOKIteKIoERBQiviiKBCQUM94oigRUFDK+KIoEJBQ++8jDwvZGl2PjxkaXY+4oi04oigREFDPeKIoEJBRe+8jDwvZGl2PjxkaXY+4oi04pazQURD4omM4pazQUJF77yIU0FT77yJLjwvZGl2Pg==

3/5单选题

难度：

3.

如图，△ABC、△ADE均是顶角为42°的等腰三角形，BC、DE分别是底边，△ABD通过( )转得到△ACE？

A	△ABD绕点A逆时针旋转21°得到△ACE
B	△ABD绕点A逆时针旋转42°得到△ACE
C	△ABD绕点A顺时针旋转21°得到△ACE
D	△ABD绕点A顺时针旋转42°得到△ACE

正确答案：Qg==

PGRpdj7op6PvvJrilrNBQkTnu5XngrlB6YCG5pe26ZKI5peL6L2sNDLCsOW+l+WIsOKWs0FDRTwvZGl2Pg==

4/5单选题

难度：

4.

如图中，△ABD和△BCE都是等边三角形，下列说法错误的是（　　）

A	△DBC≌△ABE
B	△DBC可以△ABE绕B点顺时针旋转60°而得
C	∠3=60°
D	BF平分∠DBE

正确答案：RA==

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

5/5单选题

难度：

5.

如图，△ABC和△ADE都是等腰直角三角形，∠BAC=∠DAE=90°，四边形ACDE是平行四边形，连接CE交AD于点F，连结BD交CE于点G，连结BE，则图中与△ACE全等的三角形还有（　　）

A	△DCE
B	△DCE、△ABD
C	△BCD、△ACE
D	△DCE、△ABD、△ABE

正确答案：RA==

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