MindMap Gallery Quantitative Relationship Core Method
This is a mind map about core methods. The main contents include: line segment method, assignment method, equation method, numerical characteristics method, substitution and elimination method. Students in need can save it.
Edited at 2024-12-03 21:18:53這是一篇關於把時間當作朋友的心智圖,《把時間當作朋友》是一本關於時間管理和個人成長的實用指南。作者李笑來透過豐富的故事和生動的例子,教導讀者如何克服拖延、提高效率、規劃未來等實用技巧。這本書不僅適合正在為未來奮鬥的年輕人,也適合所有希望更好地管理時間、實現個人成長的人。
This is a mind map about treating time as a friend. "Treating Time as a Friend" is a practical guide on time management and personal growth. Author Li Xiaolai teaches readers practical skills on how to overcome procrastination, improve efficiency, and plan for the future through rich stories and vivid examples. This book is not only suitable for young people who are struggling for the future, but also for everyone who wants to better manage time and achieve personal growth.
這七個習慣相輔相成,共同構成了高效能人士的核心特質。透過培養這些習慣,人們可以提升自己的領導力、溝通能力、團隊協作能力和自我管理能力,從而在工作和生活中取得更大的成功。
這是一篇關於把時間當作朋友的心智圖,《把時間當作朋友》是一本關於時間管理和個人成長的實用指南。作者李笑來透過豐富的故事和生動的例子,教導讀者如何克服拖延、提高效率、規劃未來等實用技巧。這本書不僅適合正在為未來奮鬥的年輕人,也適合所有希望更好地管理時間、實現個人成長的人。
This is a mind map about treating time as a friend. "Treating Time as a Friend" is a practical guide on time management and personal growth. Author Li Xiaolai teaches readers practical skills on how to overcome procrastination, improve efficiency, and plan for the future through rich stories and vivid examples. This book is not only suitable for young people who are struggling for the future, but also for everyone who wants to better manage time and achieve personal growth.
這七個習慣相輔相成,共同構成了高效能人士的核心特質。透過培養這些習慣,人們可以提升自己的領導力、溝通能力、團隊協作能力和自我管理能力,從而在工作和生活中取得更大的成功。
core method
Substitution and elimination
Scope of application
Typical questions: multi-digit numbers, age, indefinite equations, remainders
Look at the options: The options are a set of numbers, which can be converted into a set of numbers
Two items left: When there are only two items left, substitute one item to get the answer
Common question types
Age problems; multi-digit problems; indefinite equation problems; sum and difference ratio problems; complex equation problems
Specific usage
First exclude: mantissa, size, odd and even, multiples
Substitute again: easy to calculate, the most valuable problem
numerical properties method
Parity characteristics
Scope of application
indefinite equation
Know the sum and find the difference, know the difference and find the sum
2 times, average, equal
Specific usage
sum and difference
Same oddity and same evenness are even
One odd and one even is odd
product
If one is a couple, then the couple is a couple
All for geniuses and wonders
Multiple characteristics
Scope of application
"(Percent)" "Multiple" "Proportion" "Group"
Specific usage
A/B=m/n
A is a multiple of m, B is a multiple of n
A±B is a multiple of (m±n)
Premise: m/n is the simplest fraction
Y=ax b (X is a positive integer) (y-b) can be divided by a
divisibility rule
formula
3/9Look at the sum of the digits
2/4/8 only looks at the last 1/2/4 digits
factoring
To determine whether it is divisible by A*B, you only need to determine whether it is divisible by A*B at the same time.
Premise: A and B must be mutually prime
equation method
ordinary equation
Let the unknowns
Set small but not large to avoid scores
Let's set up the convenient formula of intermediate quantity
Ask whoever sets who to avoid the trap
Appear proportion set number of copies
indefinite equation
Substitution exclusion
Parity characteristics: coefficient one odd and one even
Multiple properties: coefficients and constants have common factors
Mantissa characteristics: coefficient mantissa is 5 or 0
Substitute options directly
Indefinite system of equations
The unknown number must be an integer
elimination
The ratio of unknown numbers must be an integer
Special value method (generally assigned 0)
assignment method
Scope of application
No specific value appears in the question stem
In a three-quantity relationship such as A=B*C, at most one of the quantities can have a specific value.
Common question types
engineering issues
itinerary issues
economic profit issues
solution problem
Specific usage
Assign values to the invariants in the question
Assign a common multiple to the given number
Assign values according to the given proportional relationship
Assignment should be as easy to calculate and resolve as possible
line segment method
Scope of application
Mixing ratio problem
Mix: having two or more parts forming a whole
Proportion: The calculation formula is in the form of dividing two quantities
Common question types
Concentration mixture, average mixture, profit margin mixture, discount mixture, specific gravity mixture, growth rate mixture, etc.
Specific usage
Write both ends before mixing, write the middle after mixing
Distance and quantity are inversely proportional, and the calculation of parts cannot be inverse.
Things to note
The ratio of mixed concentration to solution mass
Mixed average: For example, GDP per capita corresponds to the ratio of the number of people
Mixed profit margin:ratio of corresponding costs
Mixed discounts, corresponding pricing ratio
Mixing proportion, corresponding to the ratio of the overall amount
Mixed growth rate, corresponding to the ratio of base period volume