| Category | Format | Size |
|---|---|---|
| Beijing Normal University eighth grade mathematics volume 2 | pptx | 6 MB |
"Exploring the Conditions for Similarity of Triangles" Similar Figures PPT Courseware 4
Description
"Exploring the Conditions for Similarity of Triangles" Similar Figures PPT Courseware 4
learning target
1. Preliminarily master the conditions for determining the similarity of two triangles.
2. Experience the exploration process of two triangles with similar conditions to further develop students' exploration and communication abilities, as well as the habit of consciously acquiring knowledge using their mouths, hands, and brains.
3. Use triangle similarity conditions to solve simple practical problems.
Communication preview
Please draw a triangle according to the following conditions,
Work in pairs, one person draws △ABC, the other person draws △A1B1C1
(1) Let ∠A= ∠A1 ＝45 ° ∠B= ∠B1 ＝30 °
(2) Let ∠A= ∠A1 ＝60 ° ∠B= ∠B1 ＝45 °
Mutual research
Example 1: As shown in the figure, D and E are points on sides AB and AC of △ABC respectively, DE∥BC
⑴What are the equal angles in the picture?
⑵ Find similar triangles in the picture and explain the reasons.
⑶Write the three proportional line segments.
Example 2: As shown in the figure, DE∥BC
⑴What are the equal angles in the picture?
⑵ Find similar triangles in the picture and explain the reasons.
⑶Write the three proportional line segments.
Example 3. Known: ΔABC and
In ΔDEF, ∠A=400, ∠B=800, ∠E=800, ∠F=600
Prove: ΔABC∽ΔDEF
Stratification increased by 1
1. Determine whether the following statements are correct? and explain the reasons.
(1) All isosceles triangles are similar. ( )
(2) All isosceles right triangles are similar. ( )
(3) All equilateral triangles are similar. ( )
(4) All right triangles are similar. ( )
(5) Two isosceles triangles with an angle of 100° are similar. ( )
(6) Two isosceles triangles with an angle of 70° are similar. ( )
2. It is known that in the isosceles triangles ΔABC and ΔA/B/C/, ∠A and ∠A/ are the corresponding vertex angles respectively, and ∠A=∠A/ then ΔABC∽ΔA/B/C/.
Summary
1. Determination theorem 1 of similar triangles: Two triangles whose two angles correspond to equal angles are similar.
2. The two right triangles divided by the height of the hypotenuse are similar to the original triangle.
Consolidate feedback
(1) It is known that in ΔABC and ΔA/B/C/, ∠B=∠B/=750, ∠C=500, ∠A/=550. Are these two triangles similar? Why?
(2) As shown in the figure, it is known that in ΔABC, DE∥BC AD=1, DB=DE=2, then BC=_____
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For more information about the "Similar Figures Exploring the Conditions for Similarity of Triangles" PPT courseware, please click the Similar Figures ppt to explore the conditions for triangles to be similar ppt tag.
"Exploring the Conditions for Similarity of Triangles" Similar Figures PPT Courseware 6:
"Exploring the Conditions for Similarity of Triangles" Similar Figures PPT Courseware 6 Review the past and learn new things 1. What are similar triangles? Two triangles in which the angles are equal and the sides are proportional are called similar triangles. 2. What are congruent triangles? The triangles correspond to equals, and the three sides correspond to...
"Exploring the Conditions for Similarity of Triangles" Similar Figures PPT Courseware 5:
"Exploring the Conditions for Similarity of Triangles" Similar Figures PPT Courseware 5 Review and Thinking [Congruent Triangles] Two triangles with the same shape and equal size. That is: a triangle corresponds to three equal sides and two equal triangles are congruent. [Similar triangles] have the same shape and size..
"Exploring the Conditions for Similarity of Triangles" Similar Figures PPT Courseware 3:
"Exploring the Conditions for Similarity of Triangles" Similar Figures PPT Courseware 3 Triangles are equal and three sides are proportional 1. Two angles are equal 2. Three sides are proportional 3. Two sides are proportional and the angles are equal 4. Two sides are proportional and The opposite angle of one side is equal to two...
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Update Time: 2024-07-23
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