"Determining the position of objects on the plane" PPT

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"Determining the position of objects on the plane" PPT

Part One Content: Learning Objectives:

1. Explore ways to determine the position of objects on a plane.

2. Experience the coordinate idea of ​​using "ordered number pairs" and "direction and distance" to represent the position of a point in a plane.

3. Can use "ordered number pairs" and "direction and distance" to represent the position of points on the plane.

Important and difficult points:

Teaching focus: Use ordered number pairs to determine the position of objects on the plane.

Teaching difficulty: Use direction and distance to determine the position of an object.

Determine the position of objects on the plane PPT, part 2 content: intensive lecture:

The following is the seating chart of a certain class of students. According to the order of listing from front to back, the seat of each student can be represented by a pair of numbers. For example, Xiao Ming is in row 5 and column 3, which can be represented by a pair of numbers (5, 3).

According to the above expression method, discuss the following questions:

1) What pair of numbers should Xiaoqiang’s seat be represented by? What about Xiaoliang and Xiaohong?

2) Which student’s seat does the pair of numbers (1, 4) represent?

3) Are the seats represented by the two pairs of numbers (5, 3) and (3, 5) the same?

4) Can the number of seats for each student be expressed as a pair of numbers?

It can be seen from the above that in a plane, the position of an object can be expressed by a pair of numbers (column left, row right). However, in navigation, aviation and surveying, the position of an object is usually expressed by "azimuth and distance".

When looking at an object from a certain reference point, the angle between the line of sight and the ray in the direction of true north (or true south) is called the azimuth angle.

At a certain moment, a cargo ship was 60° north by east of the navigation light and 10km away from the navigation light.

1) How to use azimuth and distance to describe the position of the navigation light relative to the cargo ship?

2) At the same time, a passenger ship is in the direction of 30° north by west of the navigation lights and 5km away from the navigation lights. Please mark the position of this passenger ship on the map.

Note: The method of using "azimuth angle and distance" to represent objects requires a clear reference point.

Determine the position of objects on the plane PPT, part 3: Analysis of typical questions:

1. On the interface of the computer office software Microsoft Excel, the position of each cell can be determined by a letter and a number. As shown in the figure, the contents of cells A1, B1, C1, and D1 are "name" and "number" respectively. "Chinese" and "English".

(1) Please point out the contents in cells A2, B3, C4, and D5.

(2) Point out the cells where Wang Tao’s math scores and Zhang Lei’s English scores are located.

As shown in the picture, Wang Tao's math scores and Zhang Lei's English scores are B4 and D2 respectively.

2. As shown in the picture, using the school as the reference point, please use the azimuth angle and actual distance to indicate the locations of Xinhua Bookstore, Children's Palace and supermarket respectively.

The supermarket is located at 60° north by east of the school and 1100m away from the school; Xinhua Bookstore is located at 40° north by west of the school and 800m away from the school; the Children’s Palace is located at 20° south by west of the school and 1600m away from the school.

3. The eighth-grade teachers and students of a certain school went to the countryside for summer camp activities. The situation of the camp is as follows:

Camp No. 1 is located 30° north by east of the base camp, 500m away from the base camp;

Camp No. 2 is 45° north-west of the base camp, 600m away from the base camp;

Camp No. 3 is located 60° south-east of the base camp, 400m away from the base camp.

Based on the above information, draw a map of the location of each camp at a scale of 1:10,000.

Determining the position of objects on a plane PPT, Part 4 content: Link to real questions:

(Shandong Weifang High School Entrance Examination·3 points) As shown in the figure, the radar detector measured the presence of six targets A, B, C, D, E, and F. According to the prescribed target representation method, the positions of targets C and F are expressed as C (6, 120°), F (5, 210°). According to this method, the positions of targets A, B, D, and E are expressed, and the incorrect expression is ( ).

A. A (5, 30°)

B. B(2,90°)

C. D(4,240°)

D.E(3,60°)

Analysis: According to C (6, 120°), F (5, 210°), it can be seen that the first data in the brackets represents the distance between the target and the center, and the second data represents the degree corresponding to the ray with the center as the endpoint of the target.

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for eighth grade volume 2, determine the position of objects on a plane PPT download, .PPT format;

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Update Time: 2024-07-03

This template belongs to Mathematics courseware Hebei Education Edition Eighth Grade Mathematics Volume 2 industry PPT template

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