配套习题- 等边三角形的性质与判定 -【青果学院】

挑战习题

1/5单选题

难度：

1.在等边△ABC所在的平面内求一点P，使△PAB，△PBC，△PAC都是等腰三角形，具有这样性质的点P有（）个

A	1
B	4
C	7
D	10

提示1：: 5Yip55So562J6L655LiJ6KeS5b2i5piv6L205a+556ew5Zu+5b2i77yM5LiJ5p2h6auY5omA5Zyo55qE55u057q/5Lmf5piv5a+556ew6L2077yM5Lmf5piv6L6555qE5Lit5Z6C57q/

正确答案：RA==

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2/5单选题

难度：

2.如图，△ABC中，AB=AC=6，点M在BC上，ME∥AC，交AB于点E，MF∥AB，交AC于点F，则四边形MEAF的周长是（）

A	6
B	8
C	10
D	12

提示1：: TUU9QkU=

提示2：: TUY9RkM=

正确答案：RA==

6Kej77ya4oi1QUI9QUM8YnI+4oi04oigQj3iiKBDPGJyPuKItU1F4oilQUM8YnI+4oi04oigRU1CPeKIoEM8YnI+4oi04oigRU1CPeKIoEI8YnI+4oi0RU09RUI8YnI+4oi1TUbiiKVBQjxicj7iiLTiiKBGTUM94oigQiA8YnI+4oi04oigRk1DPeKIoEM8YnI+4oi0Rk09RkM8YnI+4oi05Zub6L655b2iTUVBRueahOWRqOmVv+aYr0FFK0VNK0FGK0ZNPUFFK0VCK0FGK0ZDPUFCK0FDPTYrNj0xMjxicj48aW1nIHdpZHRoPTEzOCBoZWlnaHQ9MTU0IHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNkQvRTAvckJBQ0psVV9ScV9DX0RjREFBQVM2TEdEZWxJMDIyLnBuZyI+

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3/5单选题

难度：

3.等腰三角形的底边为7cm，一边上的中线把其周长分为两部分的差为3cm，则腰长为（）

A	20cm
B	10cm
C	10cm或4cm
D	4cm

提示1：: 6K6+6IWw6ZW/5Li6eGNt77yM5qC55o2u5Lit54K555qE5a6a5LmJ5Y+v5rGC5b6XQUTkuI5DROeahOmVv++8jOWboOS4uuayoeacieaMh+aYjuWTqumDqOWIhuWkp++8jOaVheW6lOivpeWIhuS4pOenjeaDheWGtei/m+ihjOWIhuaekO+8jOS7juiAjOaxguino++8jg==

正确答案：Qw==

6Kej77ya6K6+6IWw6ZW/5Li6eGNtPGJyPuWmguWbvu+8jOKItUFDPXhjbe+8jOeCuUTmmK9BQ+eahOS4reeCuTxicj7iiLRBRD1DRD08aW1nIHdpZHRoPTYgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvQTMvNTAvckJBQ0UxVV9Sc3FqLTFtT0FBQUJIR2pNakYwMDQ0LnBuZyI+eGNtPGJyPuKRoOW9k0FCK0FELe+8iEJDK0NE77yJPTPvvIzljbNBQi1CQz0z77yM5Zug5Li6QkM9N2Nt77yM5omA5LulQUI9MTBjbe+8mzxicj7ikaHlvZNCQytDRC3vvIhBQitBRO+8iT0z77yM5Y2zQkMtQUI9M++8jOWboOS4ukJDPTdjbe+8jOaJgOS7pUFCPTRjbe+8mzxicj7mlYXpgIlD77yO

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4/5单选题

难度：

如图，△ABC中，AB=AC，∠A=36°，AB的垂直平分线DE交AC于D，交AB于E，则∠BDC的度数为（）

A	72°
B	36°
C	60°
D	82°

提示1：: PHA+5YWI5qC55o2uQUI9QUPvvIziiKBBPTM2wrDmsYLlh7riiKBBQkPlj4riiKBD55qE5bqm5pWwPC9wPg==

提示2：: PHA+5YaN55Sx5Z6C55u05bmz5YiG57q/55qE5oCn6LSo5rGC5Ye64oigQUJE55qE5bqm5pWwPC9wPg==

提示3：: PHA+5YaN55Sx5LiJ6KeS5b2i5YaF6KeS5LiO5aSW6KeS55qE5oCn6LSo6Kej562U5Y2z5Y+v77yOPC9wPg==

正确答案：QQ==

PHA+6Kej562U77ya4oi1QUI9QUPvvIziiKBBPTM2wrDvvIw8YnI+4oi04oigQUJDPeKIoEM9PGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzZEL0UwL3JCQUNKbFVfUnRHUlRvU3pBQUFCeW9sTW5JNDkyMy5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNkQvRTAvckJBQ0psVV9SdEdSVG9TekFBQUJ5b2xNbkk0OTIzLnBuZyIgaGVpZ2h0PSI0MiIgd2lkdGg9IjQ1Ij49PGltZyBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzZEL0UwL3JCQUNKbFVfUnRHQ3AxYi1BQUFCeVBRX1E3ODIzMC5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvNkQvRTAvckJBQ0psVV9SdEdDcDFiLUFBQUJ5UFFfUTc4MjMwLnBuZyIgaGVpZ2h0PSI0MiIgd2lkdGg9IjQ0Ij49NzLCsO+8jDxicj7iiLVEReWeguebtOW5s+WIhkFC77yMPGJyPuKItOKIoEE94oigQUJEPTM2wrDvvIw8YnI+4oi04oigQkRDPeKIoEEr4oigQUJEPTM2wrArMzbCsD03MsKw77yOPGJyPuaVhemAiUHvvI48L3A+

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5/5单选题

难度：

5.如图，C是线段BD上一点，分别以BC，CD为边在BD同侧作等边△ABC和等边△CDE，AD交CE于F，BE交AC于G，则图中可通过旋转而相互得到的全等三角形对数有（）对

A	1
B	2
C	3
D	4

提示1：: 5qC55o2u562J6L655LiJ6KeS5b2i55qE5LiJ6L6555u4562J44CB5LiJ5Liq6KeS6YO95pivNjDCsO+8jOS7peWPiuWFqOetieS4ieinkuW9oueahOWIpOWumuaWueazle+8iFNTU+OAgVNBU+OAgUFTQeOAgUFBU++8ie+8jOi/m+ihjOivgeaYju+8jg==

正确答案：Qw==

6Kej77ya4pazRUJD4omM4pazQUNE77yM4pazR0NF4omM4pazRkNE77yM4pazQkNH4omM4pazQUNG77yO55CG55Sx5aaC5LiL77yaPGJyPkJDPUFD77yMRUM9Q0TvvIziiKBBQ0I94oigRUNE77yM4oigQUNF5piv5YWx5ZCM6KeSJiM4NjU4O+KWs0VCQ+KJjOKWs0FDRO+8jjxicj5DRD1FQ++8jOKIoEZDRD1FQ0fvvIziiKBHRUM94oigQ0RGJiM4NjU4O+KWs0dDReKJjOKWs0ZDRO+8jjxicj5CQz1BQ++8jOKIoEdCQz3iiKBGQUPvvIziiKBGQ0E94oigR0NCJiM4NjU4O+KWs0JDR+KJjOKWs0FDRu+8jjxicj7mlYXpgIlD77yO

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