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Authoritative PPT Summary
"Triangle" PPT courseware 2
learning target:
1. Understand the concept of a triangle, know the names of its parts, understand its characteristics, and master its classification.
2. Cultivate observation, comparison, analysis, inquiry and other abilities, and develop innovative thinking.
3. Cultivate the spirit of unity and cooperation in group cooperative learning, stimulate students' good emotions for mathematics learning, and enhance their self-confidence in learning.
Observe the roof frame diagram below
think about it
1. Can you find four different triangles?
2. Share the triangles you found with your partner.
3. What characteristics do these triangles have in common?
Ask students to study the textbook on their own and answer relevant questions.
can you answer that?
1. What characteristics do these triangles have in common?
A triangle has three sides, three interior angles, three vertices, and three line segments connected end to end.
2.What is a triangle?
A figure composed of three line segments that are not on the same straight line and are connected end to end is called a triangle.
3. How to represent a triangle?
A triangle can be represented by the symbol "△", as shown on the right
Triangle is written as: △ABC
4. How can the sides of a triangle be represented?
As shown in the figure, the three sides of a triangle can be represented as AB, BC, and AC. The side BC opposite to vertex A can also be represented as a, the side AC opposite to vertex B is represented as b, and the side AB opposite to vertex C is represented as c.
The angle formed by one side of the interior angle of a triangle and the reverse extension of the other side is called the exterior angle of the triangle.
As shown in the figure, ∠ACD, ∠CBN and ∠BAG are all exterior angles of △ABC.
answer the following questions
1. Is ∠DCF the exterior angle of △ABC? Why?
2. How many exterior angles does △ABC have?
3. Write all the exterior angles of △ABC.
4. Practice the small questions of Question 1 (2) (3) on p146 of the textbook.
communication and discovery
A triangle with two equal sides is called an isosceles triangle. As shown in the figure, in the isosceles triangle ABC, AB=AC, the names of its sides and angles are as shown in the figure.
A triangle with three equal sides is called an equilateral triangle, also called an equilateral triangle.
right triangle
The names of the sides of a right triangle are as shown in the figure:
A right-angled triangle is usually represented by the symbol "Rt△". As shown in the figure, the right-angled triangle is denoted by Rt△ABC.
In a right triangle, which side is the longest? Why?
AB is the longest.
Among the lines connecting a point outside the straight line and all points on the straight line, the perpendicular segment is the shortest.
What did you gain from studying this lesson?
Understand triangles and know the representation of triangle sides, angles, vertices and triangles.
Know the interior and exterior angles of a triangle.
Mastered the isosceles triangle, equilateral triangle and triangle classification by sides.
Mastered acute triangles, right triangles, obtuse triangles and the classification of triangles by angles.
In-person testing
As shown in the picture: Complete the following questions.
(1) How many triangles are there in the picture? Express them separately;
△ABF, △ABD, △ABE, △BDF, △AEF, △BCE, △ADC, △ABC
(2) Write the three sides and three interior angles of △ABC;
AB, BC, CA, ∠ABC, ∠C, ∠CAB
(3) Write all triangles with line segment AB as side;
△ABF, △ABD, △ABE, △ABC
(4) Write all triangles with point F as the vertex;
△ABF, △BDF, △AEF
(5) Write all triangles with ∠C as interior angles.
△BCE, △ADC, △ABC
(6)∠AEB is the exterior angle of △BEF and is the interior angle of △ABE and △AFE.
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