"Perpendicular Lines" Intersecting Lines and Parallel Lines PPT Courseware 5

Description

"Perpendicular Lines" Intersecting Lines and Parallel Lines PPT Courseware 5

Of all the line segments connecting a point outside the straight line to every point on the straight line, the perpendicular segment is the shortest.

Simply put: the vertical line segment is the shortest.

The length from a point outside a straight line to the perpendicular segment of the straight line is called the distance from the point to the straight line.

practise

1. As shown in the figure OD⊥BC, D is the vertical foot, connected to OB, in the following statement:

① Line segment OB is the distance between two points O and B

②The length of line segment OB is the distance between points O and B

③Line segment OD is the distance from point O to straight line BC

④The length of line segment OD is the distance from point O to straight line BC

The correct number is ( )

A.1 B.2 C.3 D.4

1. As shown in the figure, point A is a hut, BC is a road, and a person is at O.

(1) When this person goes to the hut, how can he get the closest? Why?

(2) This person wants to go to the highway, what is the shortest way? Why?

2. Which of the following statements is correct ( )

(A) Line segment AB is called the distance from point B to straight line AC.

(B) The length of line segment AB is called the distance from point A to straight line AC.

(C) The length of line segment BD is called the distance from point D to straight line BC

(D) The length of line segment BD is called the distance from point B to straight line AC

As shown in the figure, in △ABC, ∠ABC=90,

① Through point B, draw the height BD on side AC of triangle ABC, and through point D, draw the height DE on side AB of triangle ABD.

②The distance from point A to straight line BC is the length of the line segment _______.

The distance from point B to straight line AC is the length of the line segment _______.

The distance from point D to straight line AB is the length of the line segment _______.

The length of line segment AD is the distance from point _______. to straight line _______.

Expand applications

As shown in the picture: There is a village next to the railway. Now a train station is to be built. In order to make it most convenient for people in Zhangzhuang to take the train (that is, the closest distance), please choose a point on the railway to build a train station and explain the reasons.

As shown in the picture: To lead the water in the canal to pool C, where should the ditch be dug on the canal bank so that the length of the ditch can be the shortest? Please draw a picture and explain why.

Think about it:

Known: As shown in the figure AD＜AE＜AC＜AB, can we say that the length of AD is the distance from A to BC?

summary

Recall the knowledge about the intersection of two straight lines and ask: Can you draw them into a knowledge structure diagram?

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For more information about the PPT courseware "Perpendicular Lines Intersecting Lines and Parallel Lines", please click on the Perpendicular Lines ppt Intersecting Lines and Parallel Lines ppt tab.

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Update Time: 2024-10-20

This template belongs to Mathematics courseware People's Education Press Seventh Grade Mathematics Volume 2 industry PPT template

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