"Using Triangle Congruence to Measure Distance" Triangle PPT Courseware 4

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"Using Triangle Congruence to Measure Distance" Triangle PPT Courseware 4

review:

1. What are the methods to determine whether two triangles are congruent?

2. As shown in the figure, it is known that AO=CO and BO=DO. Verify: △ABO and △CDO are congruent.

Prove: AO=CO in △ABO and △CDO

∠AOB= ∠COD

BO=DO

So △ABO≌△CDO

learning target:

Knowledge and skills:

1. Be able to use the congruence of triangles to solve practical problems and understand the connection between mathematics and real life.

2. Ability to think and express in an organized manner in the process of solving problems.

Process and methods:

1. Feel the connection between the knowledge learned and real life by using triangle congruence to solve practical problems.

2. Gradually learn to think and express in an organized manner in the process of solving problems.

Emotions, attitudes and values:

Have the courage to face difficulties in mathematics activities, have successful experience in independently overcoming difficulties and applying knowledge to solve problems, and have the confidence to learn mathematics well.

For example: As shown in the figure, two points A and B are located at two ends of a pond. Xiao Ming wants to use a rope to measure the distance between A and B, but the rope is not long enough. His uncle helped him come up with this idea:

First, pick a point C on the ground that can directly reach points A and B, connect AC and extend it to D, so that CD=AC; connect BC and extend it to E, so that CE=CB; connect DE and measure its length.

(1) Please list all known conditions in conjunction with the problem;

(2) Does DE=AB? Please explain the reason.

practise:

1. There is a conical hill, as shown in the figure. To measure the distance between A and B at the two ends of the conical hill, first pick a point C on the flat ground that can directly reach A and B, connect AC and extend to D, so that CD= CA, connect BC and extend to E, so that CE=CB, connect DE, then measure the length of DE, which is the distance between A and B. Can you explain the reason?

Thoughts:

(1) Find all the known conditions in the question

(2) Prove that two triangles are congruent

Class summary: Test your learning results today:

1. When encountering a distance that cannot be directly measured, we can construct _________ so that the "distance that cannot be directly measured" becomes "__________"

2. When the distance between two points cannot be directly measured, it is necessary to construct a congruent triangle for measurement. The first step in constructing a congruent triangle is to select a point that can directly reach these two points. Which of the following four drawings is the correct location for point B? : (Point A and point C are two walls)

3. Use the knowledge of congruent triangles to transform distance problems that cannot be directly measured into distance problems that can be directly measured. This is called mathematical modeling, and its basic method is to combine abstract geometric figures with known conditions of "number shapes".

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For more information about the PPT courseware "Measuring the Distance of Triangles Using Triangle Congruences", please click the "Measuring Distances of Triangles Using Triangles Congruent PPT" ppt tag.

"Using Triangle Congruence to Measure Distances" Triangle PPT Courseware 3:

"Using Triangle Congruence to Measure Distances" Triangle PPT Courseware 3 1. Review old knowledge 1. What are the necessary conditions to prove that two triangles are congruent? (1) SSS: Two triangles whose three sides are equal are congruent. (2) ASA: Two angles and their included sides are equal.

"Measuring Distance Using Triangle Congruence" Triangle PPT Courseware 2:

"Using Triangle Congruence to Measure Distances" Triangle PPT Courseware 2 Review old knowledge 1. What are the necessary conditions to prove that two triangles are congruent? (1) SSS: Three sides correspond to two equal triangles that are congruent. (2) ASA: Two angles and their included sides correspond to two equal triangles..

"Measuring distance using triangle congruence" Triangle PPT courseware:

"Using Triangle Congruence to Measure Distances" Triangle PPT courseware is as shown in the figure. Points A and B are located at both ends of a pond. Xiao Ming wanted to use a rope to measure the distance between A and B, but the rope was not long enough. An uncle helped him out. Here's an idea: First get one on the ground that can be straight...

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Update Time: 2024-07-05

This template belongs to Mathematics courseware Beijing Normal University seventh grade mathematics volume 2 industry PPT template

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