"Sum of interior angles and sum of exterior angles of polygons" Parallelogram PPT (Lesson 1) Simple campus recruitment activity planning plan summary enterprise and institution recruitment publicity lecture PPT template is a general PPT template for business post competition provided by the manuscript PPT, simple campus recruitment activity planning plan summary enterprise and institution recruitment promotion Lecture PPT template, you can edit and modify the text and pictures in the source file by downloading the source file. If you want more exquisite business PPT templates, you can come to grid resource. Doug resource PPT, massive PPT template slide material download, we only make high-quality PPT templates!
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Authoritative PPT Summary
"Sum of interior angles and sum of exterior angles of polygons" Parallelogram PPT (Lesson 1), 23 pages in total.
learning target
Explore the interior angles and formulas of polygons to further develop reasoning skills;
Master the formula for the sum of interior angles of polygons and be able to use the formula to solve practical problems.
Review and Thoughts
Triangle: A triangle is a closed figure composed of three line segments connected end to end in the same plane but not on the same straight line;
The sum of the interior angles of a triangle is equal to 180°;
Polygon: A figure composed of multiple line segments on the same plane and not on the same straight line that are connected end to end and do not intersect is called a polygon.
Regular polygon: A polygon that is in the same plane and has all equal sides and equal angles is called a regular polygon.
activity exploration
Explore point one
Question 1: What is the sum of the interior angles of a triangle? How did you arrive at that?
① Use a protractor to measure: measure the three interior angles of the triangle, and then sum them up.
②Angle-joining: Cut out the two interior angles of the triangle and put them together with the third angle to form a straight angle.
Exploration point two
Question 1: According to Xiao Ming’s method, draw a diagonal line from a vertex to complete the following table:
Generalization: The sum of the interior angles of a polygon is equal to (n-2) ·180°.
Question 2: If the sum of the interior angles of a polygon is 1440°, how many polygons does it have?
Solution: Suppose the number of sides of this polygon is n, then
(n-2)×180°=1440°
The solution is, n=10
Therefore, this polygon is a decagon
intensive training
1. Xiao Ming wants to design a polygonal logo for the school sports day with the sum of the inner angles being 2017°. Can his idea be realized? Please use the knowledge you have learned to explain.
2. Find the value of x in the following figure.
In-class testing
1. Among the following statements, which one is correct ( )
(1) A triangle is the polygon with the smallest number of sides;
(2) A figure composed of n line segments connected is called a polygon;
(3) An n-sided polygon has n sides, n vertices, and 2n interior angles;
A． 0 B. 1 C． 2 D． 3
2. If the number of sides of a polygon is exactly twice the number of diagonal lines drawn from a vertex, then the number of sides of the polygon is _____.
Class summary
1. The definition of a polygon and its formula for the sum of its interior angles: the sum of the interior angles of an n-sided polygon is equal to (n-2)·180;
2. A vertex of an n-gon can lead to (n-3) diagonals; your n-gon has a total of 1/2n (n-3) diagonals.
Keywords: Beijing Normal University edition eighth grade mathematics PPT courseware for volume 2 free download, sum of interior angles and sum of exterior angles of polygons PPT download, parallelogram PPT download, .PPT format;
For more information about "Sum of Interior Angle and Sum of Exterior Angle of Parallelogram Polygon" PPT courseware, please click on "Sum of Interior Angle and Sum of Exterior Angle of Polygon of Parallelogram PPT" PPT tag.
"Sum of Interior Angle and Sum of Exterior Angle of Polygon" Parallelogram PPT (Lesson 2):
"Sum of Interior Angle and Sum of Exterior Angle of Polygon" Parallelogram PPT (Lesson 2), 24 pages in total. Learning objectives: Understand and master the derivation process of the sum of exterior angles theorem of polygons; be able to comprehensively apply the sum of interior angles and sum of exterior angles theorem of polygons. ... ... ... Pre-learning 1..
"Sum of interior angles and sum of exterior angles of polygons" PPT courseware:
"The sum of interior angles and the sum of exterior angles of polygons" PPT courseware Part 1: Polygon In a plane, a closed figure composed of several line segments that are not on the same straight line connected end to end is called a polygon. Diagonal: In a polygon, connects two non-adjacent vertices..
"Sum of Interior Angle and Sum of Exterior Angle of Polygon" PPT:
"The sum of the interior angles and the sum of the exterior angles of a polygon" PPT Part 1: Make a guess Xiao Ming has an idea: The 2008 Olympic Games will be held in Beijing. How meaningful it would be to design a polygonal flower bed whose interior angle sum is 2008! Can Xiao Ming’s idea be realized? ..