配套习题- “直角三角形斜边上中线”性质的应用 -【青果学院】

1/5单选题

难度：

1.

如图，在Rt△ABC中，∠ACB=90°，点D是斜边AB的中点，DE⊥AC，垂足为E，若BC=4，CD=2，则BE的长为（　　）

A
B
C
D

正确答案：RA==

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

2/5单选题

难度：

2.

在锐角△ABC中，∠BAC=60°，BN、CM为高，P为BC的中点，连接MN、MP、NP，则结论：①NP=MP；②当∠ABC=60°时，MN∥BC；③BN=2AN；④AN：AB=AM：AC，一定正确的有（　　）

A	1个
B	2个
C	3个
D	4个

正确答案：Qw==

PHA+6Kej77ya4pGg4oi1Qk7jgIFDTeS4uumrmO+8jDxicj7iiLTiiKBCTUM94oigQk5DPTkwwrDvvIw8YnI+4oi1UOS4ukJD55qE5Lit54K577yMPGJyPuKItE5QPU1Q77yM5pWF4pGg5q2j56Gu77ybPGJyPuKRoeKItUJO44CBQ03kuLrpq5jvvIw8YnI+4oi04oigQk5BPeKIoENNQT05MMKw77yMPGJyPuKIteKIoEE94oigQe+8jDxicj7iiLTilrNCTkHiiL3ilrNDTUHvvIw8YnI+4oi14oigQkFDPTYwwrDvvIziiKBBQkM9NjDCsO+8jDxicj7iiLTilrNBQkPmmK/nrYnovrnkuInop5LlvaLvvIw8YnI+4oi04pazQU1O5Lmf5piv562J6L655LiJ6KeS5b2i77yMPGJyPuKItOKIoEFNTj3iiKBBQkM9NjDCsO+8jDxicj7iiLRNTuKIpUJD77yM5pWF4pGh5q2j56Gu77ybPGJyPuKRouKIteKIoEFCQz02MMKw77yMPGJyPnRhbjYwwrA9PGltZyBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzY5LzZGL3JCQUNGRk9aZW5MaXZnYXpBQUFCeW5EbmlhWTE5Mi5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvNjkvNkYvckJBQ0ZGT1plbkxpdmdhekFBQUJ5bkRuaWFZMTkyLnBuZyIgaGVpZ2h0PSI0MiIgd2lkdGg9IjE2Ij49Mu+8jOS4jjxpbWcgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC82OS82Ri9yQkFDRkZPWmVuTFQyenE5QUFBQllrMWppQzQ1NDgucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzY5LzZGL3JCQUNGRk9aZW5MVDJ6cTlBQUFCWWsxamlDNDU0OC5wbmciIGhlaWdodD0iMjEiIHdpZHRoPSIxNiI+55+b55u+77yM5pWF4pGi6ZSZ6K+v77ybPGJyPuKRo+KIteKWs0FNTuKIveKWs0FCQ++8jDxicj7iiLRBTu+8mkFCPUFN77yaQUPvvIzmlYXikaPmraPnoa4uPGJyPuKItOS4gOWumuato+ehrueahOaciTPkuKouPGJyPuaVhemAiUMuPC9wPg==

3/5单选题

难度：

3.

如图，△ABC中，BC=18，若BD⊥AC于D，CE⊥AB于E，F、G分别为BC、DE的中点，若ED=10，则FG的长为（　　）

A
B	9
C	10
D	无法确定

正确答案：QQ==

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

4/5单选题

难度：

4.

如图，将Rt△ABC（其中∠ACB=90°）绕点C顺时针旋转90°得到△DEC，M、N分别为AB、DE的中点，若MN=4，则AB的长为（　　）

A
B	4
C
D	8

正确答案：QQ==

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

5/5单选题

难度：

5.

如图，∠ABC=∠ADC=90°，E是AC的中点，则（　　）

A	∠1＞∠2
B	∠1=∠2
C	∠1＜∠2
D	∠1与∠2大小关系不能确定

正确答案：Qg==

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