"Angle bisectors, midlines and heights of triangles" PPT courseware

"Angle bisectors, midlines and heights of triangles" PPT courseware

Part One: Learning Objectives

1 Understand the angle bisectors, medians, heights and their properties of triangles.

Able to draw angle bisectors, midlines and heights of known triangles. Let students understand that the "superposition" method is an important method for verifying, testing and exploring "equality relations" in geometry

2 Students develop their hands-on ability, observation and induction abilities by folding the angle bisectors and midlines of triangles.

3. Students gain the joy of success in the independent learning process and gradually develop a good sense of communication with group members.

Preparation before class

1. Each person has a piece of paper ready for a right triangle, an obtuse triangle and an acute triangle.

2 protractors and pencils

Angle bisectors, midlines and heights of triangles PPT, Part 2 content: Angle bisectors of triangles

1 Definition: 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.

2 icons

3 Hands on

Use a protractor or origami method to draw the angle bisectors of the three triangles in your hand.

Indicate which sets of angles are equal in the diagram.

In the group, summarize the properties of angle bisectors of triangles

4 Properties of triangle angle bisectors

Property: Any triangle has three angle bisectors, and these three angle bisectors intersect at a point in the triangle.

Angle bisectors, midlines and heights of triangles PPT, Part 3 content: Midlines of triangles

1 Definition: In a triangle, the line segment connecting a vertex and the midpoint of the opposite side is called the midline of the triangle.

2 Illustration:

Hands-on

1 Use a triangle plate to draw the height lines of three triangles

2. Observe the properties of these three high lines.

Properties of the High Line

Properties: Any triangle has three altitude lines. The three altitudes of an acute triangle intersect at a point inside the triangle. The altitudes of a right triangle intersect at the vertex of the right angle. The three altitudes of an obtuse triangle intersect at a point outside the triangle.

Angle bisectors, midlines and heights of triangles PPT, Part 4 content: Class summary

keep in mind

The definition and properties of angle bisectors, medians and altitudes of triangles

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for seventh grade volume 2, angle bisector midline and height of a triangle PPT download, .PPT format;

For more information about the "Angle Bisectors of Triangles Median and Height" PPT courseware, please click the Angle Bisectors of Triangles Median and Height ppt label.

"Angle bisectors, midlines and heights of a triangle" PPT download:

"Angle bisectors, midlines and heights of triangles" PPT download Part 1 content: Teaching objectives 1. Understand relevant concepts such as heights, midlines and angle bisectors of triangles. 2. Master the drawing of heights, midlines and angle bisectors of any triangle Method, recognize triangles through observation..

"Angle bisectors, midlines and heights of triangles" PPT:

"Angle Bisectors, Medians and Heights of Triangles" PPT Part 1 Content: Review of Related Knowledge 1. Definition of Perpendicular: When one of the four angles formed by the intersection of two straight lines is a right angle, it is said that these two angles are right angles. Straight lines are perpendicular to each other, and one of the straight lines is called the other..