"Using direction and distance to describe the relative position of two objects" PPT courseware

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"Using direction and distance to describe the relative position of two objects" PPT courseware

Review the past and learn the new

Through the study of the previous class, we have mastered the use of plane rectangular coordinate systems to describe the position of objects. Please think about it, are there any other ways to describe the position of objects in practical applications?

target click

1. Master the basic methods of describing the position of objects using azimuth angle and distance.

2. Understand the various methods of describing the position of objects in life, and be able to choose the appropriate method according to different situations to accurately describe the position of a certain point on the plane.

Observe and think

1. Taking the school as a reference point, where are the Xinhua Bookstore and the Aquarium located in the school respectively?

2. Using the school as a reference point, how should the location of Baihua Community be described? Are there any other places in the same direction as Baihua Community, and how to distinguish their locations relative to the school?

When describing the direction of an object, in addition to describing the direction of the object being observed as due south, due north, due east, and due west, it can also be expressed by the angle α between the north and south directions and the observer's line of sight (0°< α < 90°)

Tip: When describing the orientation of an object, you should first say the north-south direction, and then the east-west direction.

Try this: Can you tell where D is on the side of O?

45° east by south, also known as the southeast direction.

Explore and discover

1. Can you describe the location of the Children's Palace in the school using direction and distance?

2. Can you describe the school’s location in the Children’s Palace using direction and distance?

3. Compare the above conclusions, what findings do you have, and the groups share the patterns they discovered with each other.

A is in the ( ) direction of the ship ( ) ( ) 0,

The actual distance is ( ) kilometers. (150 North by West?)

B is in the ( ) direction of the ship ( ) ( ) 0,

The actual distance is ( ) kilometers.

If you are a radar operator

As shown in the picture is the screen of a detection radar. Now five targets A, B, C, D, and E appear on the radar at the same time. If you are a radar operator, how do you report the location of each target to your superiors?

Draw something, do something

As shown in the figure, an ant starts from point O and crawls 2.5cm in the northeast direction. After encountering obstacle B, it turns to the north-west direction of 60° and crawls 3cm to C.

①Draw the crawling route of the ant.

② Find the degree of ∠OBC.

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Update Time: 2024-10-17

This template belongs to Mathematics courseware Qingdao Edition Seventh Grade Mathematics Volume 2 industry PPT template

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