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Category | Format | Size |
---|---|---|
Hebei Education Edition Seventh Grade Mathematics Volume 2 | pptx | 6 MB |
Description
"Simple Three-dimensional Linear Equations" PPT
Part One: Content Import
(1) Three-dimensional linear equation
definition
Containing three unknowns, and the degree of the terms containing the unknowns is 1, an integral equation like this is called a linear equation of three variables.
(2) System of linear equations in three variables
Solution: Suppose Rascal Rabbit is x years old, Garfield is y years old, and Mickey Mouse is z years old.
x+y+z=26, ①
x-y=1,②
2x+z-y=18. ③
combine it all toghther
x+y+z=26 ①
x-y=1 ②
2x+z-y=18 ③
How to define a system of linear equations in three variables?
x+y+z=26,
x-y=1,
2x+z-y=18.
definition
Contains three identical unknowns, and the degree of the terms containing the unknowns in each equation is 1. A system of equations like this is called a system of linear equations of three variables.
Simple three-dimensional linear equation system PPT, the second part: analysis of example questions
Example 1 Solve a system of equations
x+y+z 2 ①
x-y+z=0 ②
x-z=4. ③
1. Change "ternary" into "dual"
Consider which unknown to eliminate (that is, which of the three unknowns should be eliminated?)
Solution 1: Eliminate y
①+②, get 2x+2z=2
x-z = 4 ③
x+z = 1 ④
2. Transform "duality" into "one yuan".
Solution 2: Eliminate x
From ③, x=z+4 ④
Substitute ④ into ① and ② to get,
(z+4)+y+z=2 ⑤
(z+4)-y+z=0 ⑥
Simplified,
2z+y=-2 ⑦
2z-y =-4 ⑧
Simple three-variable linear equations PPT, part three content: Class summary
(1) What is the concept of a system of linear equations in three variables?
(2) What is the basic idea of solving a system of linear equations in three variables?
(3) When ternary binary, what should be paid attention to when choosing a specific method?
Keywords: Free download of Hebei Education Edition mathematics PPT courseware for seventh grade volume 2, simple three-dimensional linear equation system PPT download, .PPT format;
For more information about the "Simple System of Linear Equations in Three Variables" PPT courseware, please click the "Simple System of Linear Equations in Three Variables" ppt tag.
"Simple Three-dimensional Linear Equations" PPT courseware:
"Simple System of Linear Equations in Three Variables" PPT Courseware Part One: Review and New Knowledge Knowledge Review What are the methods for solving systems of linear equations in two variables? What is their essence? New Lesson Introduction Question Xiao Ming has 12 denominations of 1 yuan, 2 yuan, and 5 yuan on hand..
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Update Time: 2024-10-17
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