"Perpendicular bisectors of line segments" PPT courseware 4

Description

"Perpendicular bisectors of line segments" PPT courseware 4

Review the past and learn the new

1. Definition of vertical bisector of line segment

2. Properties and determination of vertical bisectors of line segments.

3. Rule and compass drawing of vertical bisector of line segment

4. What are the positional relationships between points and straight lines?

learning target

1. Be able to use the properties of perpendicular bisectors of line segments to solve practical problems.

2. Ability to use ruler and compass to draw perpendiculars of known line segments

Explore new knowledge

Self-study textbook pages 48-50, thinking

(1) Given a straight line l and a point P on l, how to draw a perpendicular to straight line l through point P?

(2) Given a straight line l and a point P outside l, how to draw a perpendicular to straight line l through point P?

(Discuss and communicate in groups, understand and memorize the methods)

(3) Understand what basic mathematical ideas are used when solving the problem of "drawing a perpendicular to a known straight line through a point"?

Try your abilities

1. As shown in the figure, point C is on the straight line. Try to draw the perpendicular line of the straight line through point C.

2. As shown in the figure, if point C is not on a straight line, try discussing with your classmates what steps should be taken to draw a perpendicular to the straight line through point C?

practice:

(1) Pick any point M so that point M and point C are on both sides of ;

(2) Take point C as the center of the circle, draw an arc with the length CM as the radius, and intersect at two points A and B;

(3) Draw arcs with points A and B as the center points and a radius greater than 1/2 AB length, and the two arcs intersect at point D;

(4) Draw a straight line CD passing through two points C and D.

Therefore, the straight line CD is what is sought.

Consolidate and improve

1. Draw the perpendicular and diagonal lines of straight line l through point P. The correct description is ( )

A. All can be done and only one can be done

B. Only one perpendicular line can be made, and countless diagonal lines can be made.

C. Two vertical lines can be made, and countless diagonal lines can be made.

D. Countless entries can be made

2. A known straight line can and can only be drawn through a point ( )

A. Perpendicular line B. Perpendicular line segment C. Parallel line D. All of the above are OK

3. If the intersection of the perpendicular bisectors of the three sides of a triangle is outside the triangle, then the triangle is ( )

A. Right triangle B. Acute triangle C. Obtuse triangle D. Uncertain

Class summary

1. Application of vertical bisectors of line segments: finding the shortest path

2. Use a ruler and compass to draw a perpendicular to a known straight line and apply the idea of ​​transformation

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"Perpendicular bisectors of line segments" PPT courseware 9:

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"Perpendicular bisectors of line segments" PPT courseware 8:

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Update Time: 2024-09-22

This template belongs to Mathematics courseware Qingdao Edition Eighth Grade Mathematics Volume 1 industry PPT template

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