"Translation" Intersecting Lines and Parallel Lines PPT Courseware

Description

"Translation" Intersecting Lines and Parallel Lines PPT Courseware

Discussion and exchange

How to draw a row of snowmen with the same shape and size as Figure 5.4-2 on page 30 of the book on a piece of paper

Think twice and discuss it in groups first! Start painting and you will be a great painter in the future!

Is the snowman in your painting the same as the one in the book? How do you draw it?

Observe and think

1. Did the shape, size, and position of the snowman change before and after the exercise?

2. When snowman A moves to the position of snowman B, how does snowman A’s nose tip A move? Where has it moved? What about hat top B?

3. Connect several groups of corresponding points (such as: A and A', B and B', C and C') and observe the line segments. What is the relationship between their positions and lengths?

4. When you draw line segments connecting other corresponding points, do they still have the same relationship as before?

definition

In a plane, moving a figure a certain distance in a certain direction is called translation.

1. After translation, each point on the graph has moved a _________ distance along ____________, so

(1) After translation, the corresponding line segment _________

(2) After translation, the corresponding angle ___________

(3) After translation, the line segments connected to the corresponding points ____________

(4) After translation, the new shape and the original shape are a pair of _________

2. Nature of translation

After translation, the line segments connected to the corresponding points are parallel and equal, the corresponding line segments are parallel and equal, and the corresponding angles are equal.

How to translate a triangle

Example After translation, the vertex A of triangle ABC moves to point D. Draw the translated triangle.

Analysis: Suppose vertices B and C are translated to E and F respectively,

According to "after translation, the line segments connected to the corresponding points are parallel and equal", it can be seen that the line segments BE, CF and AD are parallel and equal.

Solution: As shown in the figure, draw line segments BE and CF through points B and C respectively so that they are parallel and equal to line segment AD, connecting DE, DF and EF. Triangle DEF is the translated shape of triangle ABC.

Discuss

Among the following phenomena, the ones that belong to translation are:

(1) Movement of the needle tube during injection

(2) The bullet fired

(3) The train runs on straight rails

(4) When cold water is heated, small bubbles rise and turn into large bubbles

(5) People walking on the stairs

(6) The swing of the pendulum

(7) The aircraft slides on the straight runway before takeoff

Thoughts and Questions

1. Does the classroom door move horizontally when it is opened or closed?

2. Is the athlete's running a translation?

3. Is the lift of the elevator in the building a translational movement?

4. Does a child’s skateboard move horizontally?

5. Are skiers sliding in translation?

6. Is swinging a translation?

Keywords: Intersecting Lines and Parallel Lines Teaching Courseware, Translation Teaching Courseware, New People's Education Edition 7th Grade Mathematics Volume 2 PPT Courseware, 7th Grade Mathematics Slide Courseware Download, Intersecting Lines and Parallel Lines PPT Courseware Download, Translation PPT Courseware Download,. ppt format

For more information about the PPT courseware "Translation Intersecting Lines and Parallel Lines", please click the Translation ppt Intersecting Lines and Parallel Lines ppt tab.

"Graphic Translation" PPT download:

"Translation of Graphics" PPT Download Part One Content: Observe Movement Observe Movement 1 In the factory, products flow neatly from one production station to another along the production line on the conveyor belt. Observe Movement 2 The train goes back and forth on the straight rails Keep it open to observe luck...

"Graphic Translation" PPT:

"Translation of Graphics" PPT Part One: Learning Objectives 1. Understand translation based on specific examples in life. 2. Explore and understand the nature of translation. 3. Able to draw simple translated graphics. 4. Understand some mathematical thinking methods: the idea of ​​movement changes..

"Translation and Rotation" PPT:

"Translation and Rotation" PPT Part One: Translation Phenomenon The movement of elevators and cable cars is translation. What other translation phenomena have you seen? Whenever an object or figure moves along a straight line, it is translation. The movement of fan blades, propellers, and clock hands is all rotation. ..

File Info

Update Time: 2024-11-22

This template belongs to Mathematics courseware People's Education Press Seventh Grade Mathematics Volume 2 industry PPT template

Preview