配套习题- 平行四边形的判定（二） -【青果学院】

挑战习题

1/5单选题

难度：

如图，在Rt△ABC中，∠BAC=90°，E，F分别是BC，AC的中点，延长BA到点D，使AD=AB,连接DE,DF,下列结论中不正确的是（）

青果学院

A	EF=AD
B	EF∥AB
C	AF与DE互相平分
D	AF与DE互相垂直

提示1：: PHA+6L+e5o6lRUbjgIFBRe+8jDwvcD4=

提示2：: PHA+6K+B5Zub6L655b2iQUVGROaYr+W5s+ihjOWbm+i+ueW9ojwvcD4=

正确答案：RA==

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2/5单选题

难度：

如图，已知：AB∥CD，BE⊥AD，垂足为点E，CF⊥AD，垂足为点F，并且AE=DF. 可得

①∠ABE=∠DCF；②BE=CF；③BE∥CF；④△AEB≌△DFC；⑤四边形BECF是平行四边形，其中成立的结论有（）

青果学院

A	①②⑤
B	①③④⑤
C	②③④⑤
D	①②③④⑤

提示1：: PHA+5Yip55SoQVNB6K+B4pazQUVC4omM4pazREZDPC9wPg==

提示2：: PHA+6YCa6L+H5YWo562J5LiJ6KeS5b2i77yI4pazQUVC4omM4pazREZD77yJ55qE5a+55bqU6L6555u4562J6K+B5b6XQkU9Q0Y8L3A+

提示3：: PHA+5Zyo5ZCM5LiA5bmz6Z2i5YaF77yM5ZCM5Z6C55u05LqO5ZCM5LiA5p2h55u057q/55qE5Lik5p2h55u057q/55u45LqS5bmz6KGM4oCd6K+B5b6XQkXiiKVDRjwvcD4=

正确答案：RA==

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3/5单选题

难度：

如图，在△ABC中，∠ACB=90°，BC的垂直平分线交BC于D，交AB于点E，F在DE上，并且AF=CE. 下列结论中不正确的是（）

青果学院

A	AF=AE
B	AC=AE
C	∠FAE=∠AEC
D	四边形ACEF是平行四边形

提示1：: PHA+5bey55+l5LqGQUY9RUPvvIzlj6rpnIDor4HmmI5BRuKIpUVD5Y2z5Y+v77ybPC9wPg==

提示2：: PHA+REXlnoLnm7TlubPliIZCQ++8jOaYk+efpURF5piv4pazQUJD55qE5Lit5L2N57q/77yM5YiZRkXiiKVBQ++8jEJFPUVBPUNFPUFG77ybPC9wPg==

提示3：: PHA+4pazQUZF44CB4pazQUVD6YO95piv562J6IWw5LiJ6KeS5b2i77yM5Y+v5b6X4oigRj3iiKA1PeKIoDE94oigMu+8jOWNs+KIoEZBRT3iiKBBRUM8L3A+

正确答案：Qg==

PGRpdj7or4HmmI7vvJriiLVEReWeguebtOW5s+WIhkJD77yMPGJyPuKItEJEPUNE77yM5LiURUTiiKVBQzxicj7iiLRFROaYr+KWs0FCQ+eahOS4reS9jee6vy48YnI+4oi0QkU9QUXvvIxGROKIpUFDLjxicj5SdOKWs0FCQ+S4re+8jENF5piv5pac6L65QULnmoTkuK3nur/vvIw8YnI+4oi0Q0U9QUU9QUYuPGJyPuKItOKIoEY94oigNT3iiKAxPeKIoDIuPGJyPuKItOKIoEZBRT3iiKBBRUMuPGJyPuKItEFG4oilRUMuPGJyPuWPiOKItUFGPUVD77yMPGJyPuKItOWbm+i+ueW9okFDRUbmmK/lubPooYzlm5vovrnlvaIuPC9kaXY+

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4/5单选题

难度：

明为测量池塘的宽度，在池塘的两侧A，B分别引两条直线AC，BC，相交于点C，在BC上分别取点E，G，使BE=CG，再分别过点E，G作 EF∥AB，GH∥AB，交AC于点F，H，测出EF=10m，GH=4m（如图）. 小明就得出了结论：池塘的宽AB为（）m。

青果学院

A	16
B	15
C	14
D	13

提示1：: PHA+6L+H54K5ReS9nEVE4oilQUPvvIzkuqRBQuS6jueCuUTvvJs8L3A+

提示2：: PHA+6K+B5piO5Zub6L655b2iQURFRuaYr+W5s+ihjOWbm+i+ueW9ou+8mzwvcD4=

提示3：: PHA+6K+B5piO4pazQkRF4omM4pazR0hD44CCPC9wPg==

正确答案：Qw==

PGRpdj7op6PvvJrov4fngrlF5L2cRUTiiKVBQ++8jOS6pEFC5LqO54K5RO+8jDwvZGl2PjxkaXY+PGltZyBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzIzLzQ0L3JCQUNFMU1NVWpXQW5UT05BQUFkajBwdFdYUTUyMy5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMjMvNDQvckJBQ0UxTU1ValdBblRPTkFBQWRqMHB0V1hRNTIzLnBuZyIgYWx0PSLpnZLmnpzlrabpmaIiIGhlaWdodD0iOTciIHdpZHRoPSIxNDkiPjxicj7iiLVFRuKIpUFC77yMPGJyPuKItOWbm+i+ueW9okFERUbmmK/lubPooYzlm5vovrnlvaLvvIw8YnI+4oi0QUQ9RUbvvIxFROKIpUFD77yMPGJyPuKItOKIoEJFRD3iiKBD77yM4oigQkRFPeKIoEHvvIw8YnI+4oi1R0jiiKVBQu+8jDxicj7iiLTiiKBBPeKIoENIRzxicj7iiLTiiKBDSEc94oigQkRFPGJyPuKItOKWs0JEReKJjOKWs0dIQ++8jDxicj7iiLRCRD1IRzxicj7iiLRBQj1BRCtCRD1FRitIRz0xNC48L2Rpdj4=

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5/5单选题

难度：

如图，已知△ABC是等边三角形，D、E分别在边BC、AC上，且CD=CE，连接DE并延长至点F，使EF=AE，连接AF、BE和CF. 下列结论正确的是（）

① △BDE≌△FEC；②△BCE≌△FDC；③△ABE≌△ACF；④四边形ABDF是平行四边形。

青果学院

A	①②③④
B	①④
C	②④
D	③④

提示1：: PHA+5Yik5a6a5Lik5Liq5LiJ6KeS5b2i5YWo562J5pe277yM5b+F6aG75pyJ6L6555qE5Y+C5LiO77yM5omA5Lul5q2k6aKY55qE5YWz6ZSu5piv5om+5Ye655u4562J55qE6L6577ybPC9wPg==

提示2：: PHA+55Sx5YWo562J6K+B5piOQULiiKVERu+8jEJE4oilQUbvvJs8L3A+

提示3：: PHA+5Lik57uE5a+56L655YiG5Yir5bmz6KGM55qE5Zub6L655b2i5piv5bmz6KGM5Zub6L655b2i44CCPC9wPg==

正确答案：QQ==

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