"Vertical" PPT courseware 2

Description

"Vertical" PPT courseware 2

Collaborative Exploration 1: Definition and Representation of Vertical

Read page 19 of the textbook and think about the following questions

1. If two straight lines intersect and one of the angles is a right angle, what are the other three angles? Why?

2. What is the definition and representation of vertical?

What is the definition and representation of vertical?

concept

1.Vertical

2.Perpendicular line

3. Hanging feet

One of the straight lines is called the perpendicular to the other straight line, and their intersection is called the vertical foot.

Among the four angles formed by the intersection of two straight lines, if one of the angles is a right angle, the two straight lines are said to be perpendicular to each other.

Collaborative Research 2: Drawing Methods and Basic Properties of Vertical Lines

Read page 20 of the textbook and think about the following questions

1. It is known that the straight line l passes through a point B outside the straight line and a point A on the straight line. How many methods do you have to draw the perpendicular line of l?

2. What conclusions did you find?

Activity 1: Given a straight line l, which passes through a point B outside the straight line and a point A on the straight line, draw the perpendicular line of l. How many ways do you have to draw it?

Method 1: Use a triangle ruler

Steps: One lean, two pass, three draw

Method 2: Use a protractor

Let's find fault together

Among the following statements, the correct one is ( )

A. Through a point outside the straight line and a certain point on the straight line, countless straight lines can be drawn perpendicular to this straight line.

B. The perpendicular line of the straight line can be drawn through a point on the straight line and a certain point outside the straight line.

C. A perpendicular line of this ray can be drawn through a point outside the ray.

D. If two straight lines do not intersect, then the two straight lines may be perpendicular to each other.

practise

1. Draw a vertical line with the vertical foot at ( )

A. On the line segment B. Endpoint of the line segment

C. On the extension of the line segment D. All of the above are possible

2. As shown in the figure, draw vertical lines OA and OB through point P respectively.

Cooperation Exploration 3: Properties of Perpendicular Lines 2 and the Distance from a Point to a Straight Line

Read pages 20-21 of the textbook and think about the following questions

1. Which of these line segments (AB, AC, AD, AE) is the shortest?

2. What is a vertical line segment?

3. What is the distance from a point to a straight line?

practise

1.The distance from a point to a straight line is ( )

A. The perpendicular segment from a point outside the straight line to the straight line

B. The length of the perpendicular segment from a point outside the straight line to the straight line

C. The length of the perpendicular line from a point outside the straight line to the straight line

D. The distance from a point outside the straight line to any point on the line

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Update Time: 2024-07-09

This template belongs to Mathematics courseware Qingdao Edition Seventh Grade Mathematics Volume 2 industry PPT template

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