配套习题- 如何解决旋转中的线段最值问题 -【青果学院】

1/5单选题

难度：

1.

如图，在Rt△ABC中，∠ACB=90°，∠A=30°，，BC的中点为D. 将△ABC绕点C顺时针旋转任意一个角度得到△FEC，EF的中点为G，连接DG. 在旋转过程中，DG的最大值是（　　）

A	5
B	6
C	7
D	8

正确答案：Qg==

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

2/5单选题

难度：

2.

在Rt△ABC中，∠ACB=90°，. 点D在边AC上（不与A，C重合），连接BD，若BC=6，将线段AD绕点A旋转，点F始终为BD中点，则线段CF的最大值为（）

A
B
C
D

正确答案：Qw==

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

3/5单选题

难度：

3.

如图，四边形ABCD中，AB=BC=5,BD=9，∠ABC=60°，若点P为四边形ABCD内一点，且,∠APD=120°，则线段PA+PD+PC的最小值为（）

A	9
B	10
C	11
D	12

正确答案：QQ==

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

4/5单选题

难度：

4.

如图，△ABC中，以BC为边的△BCP是等边三角形，∠CAB =（）时，AP取得最大值。

A	60°
B	90°
C	120°
D	150°

正确答案：Qw==

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

5/5单选题

难度：

5.

如图，正方形ABCD内一点E，E到A、B、C三点的距离之和的最小值为，则正方形的边长为（）

A	2
B	3
C	4
D	5

正确答案：QQ==

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