"Circle and the Positional Relationship of Circles" Circle PPT Courseware 2

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"Circle and the Positional Relationship of Circles" Circle PPT Courseware 2

Review and consolidate

1: Positional relationship between point and circle:

(1) The point is inside the circle

(2) Point on the circle

(3) The point is outside the circle

External separation: When two circles have no common points and the points on each circle are outside the other circle, they are called external separation.

Circumcision: When two circles have a common point, and except for the common point, every point on each circle is outside the other circle, it is called circumcision of the two circles.

Containment: When two circles have no common points and the points on one circle are inside the other circle, the two circles are said to be contained.

Circle center distance: The distance between two circle centers is called circle center distance. (expressed by d)

The positional relationship between the point and the circle: d represents the distance from the point to the center of the circle

The positional relationship between the straight line and the circle: d represents the distance from the point to the straight line

Consolidation exercises:

1. The radii of ⊙O1 and ⊙O2 are 3 cm and 4 cm respectively,

Assume (1) O1O2=8 cm; (2) O1O2=7 cm;

(3) O1O2=5 cm; (4) O1O2=1 cm;

(5) O1O2=0.5 cm; (6) O1 and O2 coincide.

What is the positional relationship between ⊙O1 and ⊙O2?

2. It is known that the radii of the two circles are 1 cm and 5 cm respectively.

(1) If two circles intersect, the value range of the circle center distance d is ________;

(2) If the two circles are separated from each other, the value range of d is ________;

(3) If the two circles are contained, the value range of d is ________;

If two circles are tangent, then d = ________.

1. It is known that the radii of the two circles are 3 cm and 2 cm respectively. If the two circles have no common point, the value range of the circle center distance d is

2. The radii of �A and �B are 6 cm and 3 cm respectively, the coordinates of A and B are (5,0) and (0,6) respectively, then the positional relationship between the two circles is

3. Using 1 cm, 2 cm and 4 cm as radii respectively, use a compass to draw circles so that they circumscribe each other.

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For more information about the PPT courseware "Circle and the Positional Relationship of Circles", please click the circle ppt Circle and the Positional Relationship of Circles ppt tag.

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"Circles and their positional relationships" Circle PPT courseware 7 Learning objectives: 1. Understand several relationships between circles and circles 2. Be able to use the positional and quantitative relationships between circles to solve problems. Key points: The five positional relationships between two circles and the quantitative relationship between the radius and center distance of the two circles.

"Circle and the Positional Relationship of Circles" Circle PPT Courseware 6:

"Circles and Positional Relationships of Circles" Circle PPT Courseware 6 Learning Objectives 1. Understand that two circles are separated from each other (external separation, internal inclusion), two circles are tangent (external tangent, inscribed), two circles intersect, and the distance between the centers of circles and other concepts. 2. Understand the positional relationship between the two circles and the quantitative relationship between d and R, r..

"Circle and the Positional Relationship of Circles" Circle PPT Courseware 5:

"Circles and the Positional Relationship of Circles" Circle PPT Courseware 5 Activity 1: Ask students to draw a circle with a radius of 5 cm on the white paper, and draw a horizontal straight line passing through its center, as shown in the picture, using the The circular template moves relative to the drawn circle along a straight line, and observe...

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Update Time: 2024-07-04

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