"Positional Relationship between Lines and Circles" Circle PPT Courseware

Description

"Positional Relationship between Lines and Circles" Circle PPT Courseware

teaching objectives

knowledge and abilities

Understand the positional relationship between straight lines and circles, and explore the tangent properties of circles.

Process and Method

Experience the process of exploring the positional relationship between straight lines and circles.

Emotional attitudes and values

Through observation, comparison and hands-on operation, I feel that mathematical activities are full of imagination and exploration, and I feel the necessity and rigor of proof and the certainty of mathematical conclusions.

Positional relationship between straight line and circle

A straight line and a circle have two common points, which are called intersections of the straight line and the circle. The straight line at this time is called the secant of the circle.

A straight line and a circle have the only common point, which is called tangent to the straight line and the circle. The straight line at this time is called the tangent line, and the only common point is called the tangent point.

A straight line and a circle have no common points, so they are said to be separated from each other.

Knowledge points

There are two ways to determine the positional relationship between a straight line and a circle:

(1) According to the definition, it is judged by the number of common points between the straight line and the circle;

(2) According to the properties, it is judged by the relationship between the distance from the center of the circle to the straight line and the radius.

Practice in class

1. It is known that the radius of ⊙O is 5cm, and the distance from point O to straight line a is 3cm, then the positional relationship between ⊙O and straight line a is ________; the number of common points between straight line a and ⊙O is _______.

2. It is known that the diameter of ⊙O is 11cm, and the distance from point O to straight line a is 5.5cm, then the positional relationship between ⊙O and straight line a is ______, and the number of common points between straight line a and ⊙O is _______.

3． It is known that the diameter of ⊙O is 10cm, and the distance from point O to straight line a is 7cm, then the positional relationship between ⊙O and straight line a is _______; the number of common points between straight line a and ⊙O is ____.

4. The distance from point A on the straight line m to the center O of the circle is equal to the radius of ⊙O, then the positional relationship between the straight line m and ⊙O is ____________.

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For more information about the "Positional Relationship between Circles, Straight Lines and Circles" PPT courseware, please click the "Positional Relationship between Circles, Straight Lines and Circles" ppt tag.

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Update Time: 2024-10-03

This template belongs to Mathematics courseware People's Education Press Ninth Grade Mathematics Volume 1 industry PPT template

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