配套习题- 动态圆与直线相切的解题策略 -【青果学院】

1/5单选题

难度：

1.如图，平面直角坐标系中，⊙A的圆心在x轴上，半径为2，直线L为y=

x-4，若⊙A沿x轴向右运动，当⊙A与直线L有一个公共点时，点A移动的最大距离是（　　）

A
B	5
C
D

正确答案：Qg==

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

2/5单选题

难度：

2.如图，⊙O₁的半径为1，正方形ABCD的边长为6，点O₂为正方形ABCD的中心，O₁O₂垂直AB于P点，O₁O₂=8. 若将⊙O₁绕点P按顺时针方向旋转360°，在旋转过程中，⊙O₁与正方形ABCD的边只有一个公共点的情况一共出现（　　）

A	3次
B	5次
C	6次
D	7次

正确答案：Qg==

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

3/5单选题

难度：

3.已知：平面直角坐标系中，⊙A的圆心在x轴上，半径为1，⊙A沿x轴上向右平移. 如图，当⊙A与y轴相切时，点A的坐标为（ ).

A	（-1，0）
B	（1，0）
C	（-1，0）和（1，0）
D	无法确定

正确答案：Qw==

6Kej77ya5bey55+l5ZyG55qE5Y2K5b6E5Li6Me+8jDxicj7mlYXlvZPiiplB5LiOeei9tOW3puS+p+ebuOWIh+aXtu+8jOeCuUHnmoTlnZDmoIfkuLrvvIgtMe+8jDDvvInvvIw8YnI+5pWF5b2T4oqZQeS4juWPs+i9tOW3puS+p+ebuOWIh+aXtu+8jOeCuUHnmoTlnZDmoIfkuLrvvIgx77yMMO+8ie+8jDxicj7ljbPlvZPiiplB5LiOeei9tOebuOWIh+aXtu+8jOeCuUHnmoTlnZDmoIfkuLrvvIgtMe+8jDDvvInlkozvvIgx77yMMO+8ieOAgjxicj7mlYXpgIlD44CC

4/5单选题

难度：

4.在平面直角坐标系中，如图，直线l：y＝−

x+4，动圆⊙M的半径为2.4，其圆心M在x轴上运动，在运动过程中，当⊙M与此直线l相切时点M的坐标是（）。

A	（0，0）
B	（0，0）或（6，0）
C	（6，0）
D	（0，6）或（0，0）

正确答案：Qg==

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

5/5单选题

难度：

5.等腰直角△ABC和⊙O如图放置，已知AB=BC=1，∠ABC=90°，⊙O的半径为1，圆心O与直线AB的距离为5. 现两个图形同时向右移动，△ABC的速度为每秒2个单位，⊙O的速度为每秒1个单位，同时△ABC的边长AB、BC又以每秒0.5个单位沿BA、BC方向增大，当△ABC的边与圆第一次相切时，点B运动了（）距离。

A
B
C
D

正确答案：Qw==

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