Western Normal University Edition First Grade Mathematics Volume 1
Beijing Normal University Edition Seventh Grade Mathematics Volume 1
People's Education Press First Grade Mathematics Volume 1
People's Education Press Second Grade Mathematics Volume 1
People's Education Press Third Grade Mathematics Volume 1
Beijing Normal University Edition Seventh Grade Mathematics Volume 2
Qingdao Edition Seventh Grade Mathematics Volume 1
Hebei Education Edition Third Grade Mathematics Volume 1
Beijing Normal University Edition Fifth Grade Mathematics Volume 1
Beijing Normal University Edition Eighth Grade Mathematics Volume 1
Hebei Education Edition Seventh Grade Mathematics Volume 2
People's Education High School Mathematics Edition B Compulsory Course 2
Hebei Education Edition Fourth Grade Mathematics Volume 2
Beijing Normal University Edition Fifth Grade Mathematics Volume 2
People's Education Press First Grade Mathematics Volume 2
Qingdao Edition Seventh Grade Mathematics Volume 2
Category | Format | Size |
---|---|---|
Beijing Normal University seventh grade mathematics volume 2 | pptx | 6 MB |
Description
"Understanding Triangles" Triangle PPT Courseware 7
The three heights of an acute triangle
Do it
Each person prepares an acute-angled triangle piece of paper.
(1) Can you draw the three heights of this triangle?
(2) Can you get them by origami?
(3) What is the positional relationship between these three heights?
Communicate your results with peers.
Are the three heights of an acute triangle inside or outside the triangle?
Three heights of a right triangle
Do it
Draw a right triangle on the paper.
(1) Draw the three heights of a right triangle. What is their positional relationship?
Communicate your results with peers.
The three altitudes of a right triangle intersect at the vertex of the right angle.
The three heights of an obtuse triangle
Do the three altitudes of an obtuse triangle intersect at one point?
The three heights of an obtuse triangle do not intersect at one point
The three height lines of an obtuse triangle intersect at one point
Definition of angle bisector of a triangle
The "angle bisector" we learned before is a ray,
Is "angle bisector of a triangle" still a ray?
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.
Properties of angle bisectors of triangles
(1) Can you draw the three angle bisectors of a triangle?
(2) Can you get them by origami?
(3) In each triangle, what is the positional relationship between the three angle bisectors?
Communicate your results with peers.
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.
Discuss
(1) Draw an acute triangle on paper and draw its three midlines.
What is their positional relationship? Communicate with your companions.
(2) Do the three midlines of an obtuse triangle and a right triangle have the same positional relationship?
Fold it, draw it, and communicate with your peers·
Expansion exercises
1. Among the following sets of figures, in which set of figures AD is the height of △ABC ( )
2. If the intersection point of the three heights of a triangle is exactly a vertex of the triangle, then the triangle is ( )
A. Acute triangle B. Right triangle
C. Obtuse triangle D. Acute triangle
3. The three heights of the triangle intersect at one point, and this point is determined at ( )
A. The inside of the triangle B. The outside of the triangle
C. On one side of the triangle D. Uncertain
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 6:
"Understanding Triangles" Triangle PPT Courseware 6 Review Introduction 1. What kind of figure is called a triangle? 2. What is the relationship between the three sides of a triangle? 3. What is the relationship between the three angles of a triangle? 1. Theorem (1) of the properties of the exterior angles of a triangle: Any part of a triangle...
"Understanding Triangles" Triangle PPT Courseware 5:
"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 the angles: ⑴ Acute triangle: three internal angles are acute angles; ⑵ Right triangle: one internal angle is a right angle; ⑶ Obtuse triangle..
"Understanding Triangles" Triangle PPT Courseware 4:
"Understanding Triangles" Triangle PPT Courseware 4 Observe the roof frame diagram below and think about it: 1. Can you find four different triangles in it? 2. Share the triangles you found with your partner. 3. What characteristics do these triangles have in common? Can you answer...
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Update Time: 2024-10-20
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