"Application of linear equations of two variables - chicken and rabbit in the same cage" System of linear equations of two variables PPT courseware 3

Description

"Application of linear equations of two variables - chicken and rabbit in the same cage" System of linear equations of two variables PPT courseware 3

The general idea of ​​the topic

Use a rope to measure the depth of the well. If you fold the rope into three equal parts, one part of the rope will be 5 feet longer than the well depth. If you fold the rope into four equal parts, one part of the rope will be 1 foot longer than the well depth. The length of the rope and the depth of the well are different. How many feet is it?

rope logging

If the rope is folded three times and measured, the rope is five feet longer;

If the rope is folded in four and measured, the rope will be one foot longer.

What are the rope length and well depth?

Discuss

(1) "Fold the rope three times and test it. The rope is five feet longer." What does it mean?

(2) What does "if you fold the rope in four parts and measure it, it will be one foot longer"?

What are the steps to solve word problems using a system of linear equations in two variables?

(1) Examination of questions;

(2) Assume two unknowns and find two equivalent relationships;

(3) According to the series of equations of equivalent quantities, the system of simultaneous equations;

(4) Solve the system of equations;

(5) Check and answer.

first round

1. Suppose the number A is x and the number B is y, then "the sum of twice the number A and half the number B is 15", the equation listed is ____________.

2. Xiaogang has a number of 50-cent coins and a number of 1-yuan coins. The currency value is six yuan and 50 cents. Suppose there are x coins for 50-cent coins and y coins for 1 yuan. The equation is _____________.

Second level

1. There are 54 workers in a workshop. Each person processes 15 shafts or 24 bearings per day on average. One shaft is matched with two bearings. If x workers are allocated to process shafts and y workers are allocated to process bearings, Just make sure that the products processed every day are in complete sets, then the system of equations can be listed as ( ).

(A)x+y=54, 15x=24y (B)x+y=54, 2×15x=24y

(C)x+y=54, 15x=2×24y (D)15x+24y=54, 15x=24y

There is a group of pigeons, some of which are singing happily in the trees, and others are foraging on the ground. A pigeon on the tree said to the pigeons foraging on the ground: "If one of you flies up, then the pigeons under the tree will be the whole pigeon." One-third of the flock; if one flies down from the tree, there will be equally many doves on the tree and under the tree." Do you know how many doves there are on the tree and under the tree?

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For more information about the PPT courseware "A system of linear equations of two variables and the application of linear equations of two variables, a chicken and a rabbit in the same cage", please click the "System of linear equations in two variables ppt application of a system of linear equations of two variables and a chicken and a rabbit in the same cage" ppt tag.

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Update Time: 2024-06-29

This template belongs to Mathematics courseware Beijing Normal University eighth grade first volume mathematics industry PPT template

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