| Category | Format | Size |
|---|---|---|
| Beijing Normal University Ninth Grade First Volume Mathematics | pptx | 6 MB |
"Exploring the Conditions for Similarity of Triangles" Similarity of Figures PPT Courseware 6
Description
"Exploring the Conditions for Similarity of Triangles" Similarity of Figures PPT Courseware 6
As shown in the figure, a string AB=80cm on the musical instrument has two endpoints A and B fixed on the instrument board. The support point C is the golden section point close to point B, and point D is the golden section point close to point A. Try to determine the distance from support point C to end point B and the distance from support point D to end point A.
If the rectangle represented by the dotted line in the figure is drawn as a rectangle ABCD as shown in the figure, and the width of the rectangle ABCD is used as the side to draw a square AEFD inside it, then we can be surprised to find that BC/BE=AB/BC. Is point E the golden section point of AB? Is the ratio of the width to the length of rectangle ABCD the golden ratio?
think:
1. If AB=2, what are the values of BD, AD, AC and BC respectively?
2. Calculate AC/AB, BC/AC.
3. Is point C the golden section point of line segment AB?
Summary summary:
1. Understand the golden section through examples in the fields of architecture, sculpture, music and other fields, and feel the beauty of the golden section.
2. Further understand the ratio of line segments, proportional line segments and other related content.
3. Find the golden section point of a line segment by drawing, and explain it using the knowledge you have learned.
sublimation of knowledge
1. According to relevant measurements, the human body feels most comfortable when the temperature is at the golden ratio of the normal body temperature. Therefore, what is the most suitable indoor temperature when using air conditioning in summer?
2. In terms of the ratio of the lower body of the human body to the height, the closer it is to 0.618, the more beautiful it is. Unfortunately, even a slender ballerina cannot achieve such perfection. A woman is 1.68 meters tall and her lower body is 1.02 meters. What height of high heels should she choose to look more beautiful?
The golden section is a mathematical proportional relationship. Discovered by the ancient Greek mathematician Pythagoras in the sixth century BC, strict proportion, artistry, and harmony contain rich aesthetic value. When used, it is generally taken to be 1.618, just like pi is generally taken to be 3.14 when used. This value is represented by the Greek letter φ.
Keywords: teaching courseware for similarity of figures, teaching courseware for exploring the conditions of similarity of triangles, Beijing Normal University edition ninth grade mathematics volume 1 PPT courseware, download of ninth grade mathematics slide courseware, downloading PPT courseware for similarity of figures, exploring conditions for similarity of triangles PPT courseware Download, .ppt format
For more information about the PPT courseware "Exploring the Similarity of Conditional Figures with Similar Triangles", please click on the Similarity ppt tag of "Exploring the Similarity of Conditional Figures with Similar Triangles".
"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 4:
"Exploring the Conditions for Similarity of Triangles" Similar Figures PPT Courseware 4 Learning Objectives 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 oral, hands-on,...
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Update Time: 2024-06-28
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