MindMap Gallery Equations (sets) and inequalities (sets)
This is a mind map about systems of equations and systems of inequalities, including systems of linear equations and their applications, Fractional equations and their applications, Quadratic equation of one variable, Inequalities etc.
Edited at 2024-02-12 17:15:23Avatar 3 centers on the Sully family, showcasing the internal rift caused by the sacrifice of their eldest son, and their alliance with other tribes on Pandora against the external conflict of the Ashbringers, who adhere to the philosophy of fire and are allied with humans. It explores the grand themes of family, faith, and survival.
This article discusses the Easter eggs and homages in Zootopia 2 that you may have discovered. The main content includes: character and archetype Easter eggs, cinematic universe crossover Easter eggs, animal ecology and behavior references, symbol and metaphor Easter eggs, social satire and brand allusions, and emotional storylines and sequel foreshadowing.
[Zootopia Character Relationship Chart] The idealistic rabbit police officer Judy and the cynical fox conman Nick form a charmingly contrasting duo, rising from street hustlers to become Zootopia police officers!
Avatar 3 centers on the Sully family, showcasing the internal rift caused by the sacrifice of their eldest son, and their alliance with other tribes on Pandora against the external conflict of the Ashbringers, who adhere to the philosophy of fire and are allied with humans. It explores the grand themes of family, faith, and survival.
This article discusses the Easter eggs and homages in Zootopia 2 that you may have discovered. The main content includes: character and archetype Easter eggs, cinematic universe crossover Easter eggs, animal ecology and behavior references, symbol and metaphor Easter eggs, social satire and brand allusions, and emotional storylines and sequel foreshadowing.
[Zootopia Character Relationship Chart] The idealistic rabbit police officer Judy and the cynical fox conman Nick form a charmingly contrasting duo, rising from street hustlers to become Zootopia police officers!
Equations (sets) and inequalities (sets)
System of linear equations and their applications
Basic properties of waiting
If a=b, then a±c=b±c
If a=b then ac=bc
Linear equations of one variable and their solutions
An integral equation that contains an unknown and the degree of the term containing the unknown is linear
solution
Go to the denominator
remove brackets
Move items
Merger of similar items
coefficient becomes one
System of linear equations in two variables and their solutions
linear equation of two variables
An integral equation that contains two unknowns and the terms of the unknowns are all of degree 1
System of linear equations in two variables
A system of equations consisting of two linear equations in two variables. Each letter in an equation represents the same quantity
Basic idea
elimination
Convert a system of linear equations of two variables into a linear equation of one variable
Substitute elimination method
Addition, subtraction and elimination method
Practical applications of linear equations (groups)
trial
set up
List
untie
test
answer
Common types and relationships
Purchase questions
Total price = unit price × quantity
Discounts and sales issues
Selling price = list price × discount
Sales = selling price × sales volume
Profit = selling price - purchase price
Engineering problems
Workload = work completion time × work efficiency
Itinerary issues
distance = speed × time
Fractional equations and their applications
concept
Equations with unknown numbers in the denominator
Basic idea
Convert fractional equations into integral equations
General steps
Fractional equation
Go to the denominator
integral equation
x=a
test
The simplest common denominator is 0
x=a is not a solution to the fractional equation
The simplest common denominator is not 0
x=a is the solution to the fractional equation
Practical applications of fractional equations
distance/speed=time
Total amount of work/work efficiency = work completion time
Total price/unit price=quantity
Speed along the current = boat speed in still water current speed
Speed against water = boat speed in still water – speed of water flow
Quadratic equation of one variable
ax² bx c=0(a≠0)
solution
Direct square root
formula
formula
factoring
discriminant of root
Δ=b²-4ac
b²-4ac is greater than 0 and has two unequal real roots.
b²-4ac=0 has a real root
b²-4ac less than 0 has no real roots
inequality
nature
1. Add or subtract a number or expression on both sides of the inequality at the same time, and the direction of the inequality sign remains unchanged.
2. Multiply and divide both sides of the inequality by a positive number that is not zero, and the direction of the inequality sign remains unchanged.
3. Multiply and divide both sides of the inequality by a negative number at the same time, and the direction of the inequality sign changes.
Solution set of linear inequalities of one variable
formula
Get the bigger from the same size Choose the smaller one Take the middle of big or small Can’t take any big or small ones