配套习题- 如何利用相似三角形的性质解题（一） -【青果学院】

1/5单选题

难度：

1.如图，△ABC中，DE∥BC，DE=1，AD=2，DB=3，则BC的长是（）

A
B
C
D

正确答案：Qw==

6Kej562U77ya4oi1REXiiKVCQ++8jDxicj7iiLTilrNBREXiiL3ilrNBQkPvvIw8YnI+5YiZPGltZyB3aWR0aD02NSBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC80QS8wQi9yQkFDRTFQSTdYdkFSclNvQUFBQ1NpWTRpMHc5MzcucG5nIj7vvIw8YnI+4oi1REU9Me+8jEFEPTLvvIxEQj0z77yMPGJyPuKItEFCPUFEK0RCPTXvvIw8YnI+4oi0QkM9PGltZyB3aWR0aD02MCBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8wQy9GNy9yQkFDRkZQSTdYdkFIcGk0QUFBQjRDWnBPSWM0OTEucG5nIj4uIDxicj7mlYXpgIlDLiA=

2/5单选题

难度：

2.

如图，在平行四边形ABCD中，点E在AD上，连接CE并延长与BA的延长线交于点F，若AE=2ED，CD=3cm，则AF的长为（）

A	5cm
B	6cm
C	7cm
D	8cm

正确答案：Qg==

PHA+6Kej77ya4oi15Zub6L655b2iQUJDROaYr+W5s+ihjOWbm+i+ueW9ou+8jDxicj7iiLRBQuKIpUNE77yMPGJyPuKItOKWs0FGReKIveKWs0RFQ++8jDxicj7iiLRBRe+8mkRFPUFG77yaQ0TvvIw8YnI+4oi1QUU9MkVE77yMQ0Q9M2Nt77yMPGJyPuKItEFGPTJDRD02Y20uPGJyPuaVhemAiUIuPC9wPg==

3/5单选题

难度：

3.

如图，△ABC中，AE交BC于点D，∠C=∠E，AD=4，BC=8，BD：DC=5：3，则DE的长等于（　　）

A
B
C
D

正确答案：Qg==

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

4/5单选题

难度：

4.

如图，菱形ABCD中，点M，N在AC上，ME⊥AD，NF⊥AB. 若NF=NM=2，ME=3，则AN=（　　）

A	3
B	4
C	5
D	6

正确答案：Qg==

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

5/5单选题

难度：

5.

如图，在△ABC中，AB=AC=a，BC=b（a＞b）. 在△ABC内依次作∠CBD=∠A，∠DCE=∠CBD，∠EDF=∠DCE. 则EF等于（）

A
B
C
D

正确答案：Qw==

PHA+6Kej77ya4oi1QUI9QUPvvIw8YnI+4oi04oigQUJDPeKIoEFDQu+8jDxicj7lj4jiiLXiiKBDQkQ94oigQe+8jDxicj7iiLTilrNBQkPiiL3ilrNCREPvvIw8YnI+5ZCM55CG5Y+v5b6X77ya4pazQUJD4oi94pazQkRD4oi94pazQ0RF4oi94pazREZF77yMPGJyPuKItDxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8wQy9GOC9yQkFDRkZQSTdYN2hzOTF3QUFBRHNYbkN4aDAyNDQucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzBDL0Y4L3JCQUNGRlBJN1g3aHM5MXdBQUFEc1huQ3hoMDI0NC5wbmciIGhlaWdodD0iNDIiIHdpZHRoPSIyNDgiPjxicj7op6PlvpfvvJpDRD08aW1nIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvNEEvMEIvckJBQ0UxUEk3WDZ3WWFGVkFBQUJpMl9iM2dNMTY4LnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC80QS8wQi9yQkFDRTFQSTdYNndZYUZWQUFBQmkyX2IzZ00xNjgucG5nIiBoZWlnaHQ9IjQyIiB3aWR0aD0iMTYiPu+8jERFPTxpbWcgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8wQy9GOC9yQkFDRkZQSTdYN0JDaE9fQUFBQm56MGRfR1U5NDIucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzBDL0Y4L3JCQUNGRlBJN1g3QkNoT19BQUFCbnowZF9HVTk0Mi5wbmciIGhlaWdodD0iNDIiIHdpZHRoPSIxNyI+77yMRUY9PGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzRBLzBCL3JCQUNFMVBJN1g2aV91RzhBQUFCcjFKbUFLVTkwOS5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNEEvMEIvckJBQ0UxUEk3WDZpX3VHOEFBQUJyMUptQUtVOTA5LnBuZyIgaGVpZ2h0PSI0MiIgd2lkdGg9IjE3Ij48YnI+4oi06YCJQzwvcD4=