Western Normal University Edition First Grade Mathematics Volume 1
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Hebei Education Edition Third Grade Mathematics Volume 1
Hebei Education Edition Seventh Grade Mathematics Volume 2
Beijing Normal University Edition Seventh Grade Mathematics Volume 2
Qingdao Edition Seventh Grade Mathematics Volume 1
People's Education High School Mathematics Edition B Compulsory Course 2
Beijing Normal University Edition Eighth Grade Mathematics Volume 1
Qingdao Edition Seventh Grade Mathematics Volume 2
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Jiangsu Education Edition Fourth Grade Mathematics Volume 1
People's Education Press First Grade Mathematics Volume 2
Category | Format | Size |
---|---|---|
Beijing Normal University Edition Seventh Grade Mathematics Volume 2 | pptx | 6 MB |
Description
"Understanding Triangles" Triangle PPT Courseware 5
review
1. The sum of the three interior angles of a triangle is equal to 180˚.
2. Triangles are classified according to the size of their angles:
⑴ Acute triangle: all three interior angles are acute angles;
⑵Right triangle: One interior angle is a right angle;
⑶ Obtuse triangle: One interior angle is obtuse.
3. The two acute angles of a right triangle are complementary to each other.
test you
1. It is known that ∠A, ∠B and ∠C are the three interior angles of △ABC, ∠A=70°, ∠C=30°, ∠B=( )
2. One acute angle of a right triangle is 70°, and the other acute angle is ( ) degrees.
3. In △ABC, ∠A=80°, ∠B=∠C, then ∠C= ( )
4. If in △ABC, ∠A∠B∠C=2:3∠5, the angle classification of this triangle should be ( ).
Do it
Draw a random triangle on a piece of tissue paper. Can you manage to draw the bisector of one of its interior angles?
Can you get it by origami?
Draw a triangle on a piece of paper, cut it out, and fold one corner of it in half so that both sides overlap.
The crease AD is the angle bisector of the triangle ∠A.
Definition of angle bisector of a triangle:
In a triangle, the angle bisector of an interior angle intersects its opposite side. The line segment between the vertex of the angle and the intersection point is called the angle bisector of the triangle.
∵AD is the angle bisector of △ABC
∴∠ BAD = ∠ CAD =1/2∠BAC
The "midline" of a triangle
In a triangle, the line segment connecting a vertex to the midpoint of the opposite side is called the median of the triangle.
(1) Draw an acute triangle on paper and draw its three midlines.
What is their positional relationship?
Communicate with peers.
(2) Do the three midlines of an obtuse triangle and a right triangle have the same positional relationship?
Fold it, draw it, fold it, draw it,
Summary of this lesson
Through origami, drawing and other activities, students experienced and acquired the concepts and properties of the "angle bisector" and "midline" of a triangle.
In a triangle, the bisector of an interior angle intersects its opposite side. The line segment between the vertex of the angle and the intersection point is called the angle bisector of the triangle.
In a triangle, the line segment connecting a vertex to the midpoint of the opposite side is called the median of the triangle.
Keywords: Understanding Triangle Teaching Courseware, Triangle Teaching Courseware, Beijing Normal University Edition 7th Grade Mathematics Volume 2 Courseware, 7th Grade Mathematics Slide Courseware Download, Understanding Triangle PPT Courseware Download, Triangle PPT Courseware Download, .ppt format
For more information about the "Triangles and Understanding Triangles" PPT courseware, please click on the "Triangles PPT and Understanding Triangles" PPT tag.
"Understanding Triangles" Triangle PPT Courseware (Lesson 4):
"Understanding Triangles" Triangle PPT Courseware (Lesson 4) Part One: Answering Questions and Answers 1. How many heights does the triangle have? Can they be obtained by origami? 2. What is the positional relationship between the three straight lines of the triangle? The altitude of an acute triangle..
"Understanding Triangles" Triangle PPT Courseware (Lesson 3):
"Understanding Triangles" Triangle PPT Courseware (Lesson 3) Part One: Textbook Reading Assistance 1. What is the angle bisector of a triangle? What is the difference between it and the angle bisector? The bisector of an interior angle of a triangle intersects its opposite side. The vertex of the angle and the intersection point...
"Understanding Triangles" Triangle PPT Courseware (Lesson 2):
"Understanding Triangles" Triangle PPT Courseware (Lesson 2) Part One Content: Learning Objectives 1. Understand the relationship between isosceles triangles and equilateral triangles. 2. Master the relationship between the three sides of a triangle and experience its application in life. .. . ... ... Understand the triangle PPT,...
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Update Time: 2024-09-08
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