MindMap Gallery Junior high school mathematics
Summary of mathematical knowledge points for high school entrance examination, mainly including equations and inequalities, Properties of functions, graphs, Pythagorean theorem, etc. Hope this mind map helps you!
Edited at 2024-01-31 16:49:43This Valentine's Day brand marketing handbook provides businesses with five practical models, covering everything from creating offline experiences to driving online engagement. Whether you're a shopping mall, restaurant, or online brand, you'll find a suitable strategy: each model includes clear objectives and industry-specific guidelines, helping brands transform traffic into real sales and lasting emotional connections during this romantic season.
This Valentine's Day map illustrates love through 30 romantic possibilities, from the vintage charm of "handwritten love letters" to the urban landscape of "rooftop sunsets," from the tactile experience of a "pottery workshop" to the leisurely moments of "wine tasting at a vineyard"—offering a unique sense of occasion for every couple. Whether it's cozy, experiential, or luxurious, love always finds the most fitting expression. May you all find the perfect atmosphere for your love story.
The ice hockey schedule for the Milano Cortina 2026 Winter Olympics, featuring preliminary rounds, quarterfinals, and medal matches for both men's and women's tournaments from February 5–22. All game times are listed in Eastern Standard Time (EST).
This Valentine's Day brand marketing handbook provides businesses with five practical models, covering everything from creating offline experiences to driving online engagement. Whether you're a shopping mall, restaurant, or online brand, you'll find a suitable strategy: each model includes clear objectives and industry-specific guidelines, helping brands transform traffic into real sales and lasting emotional connections during this romantic season.
This Valentine's Day map illustrates love through 30 romantic possibilities, from the vintage charm of "handwritten love letters" to the urban landscape of "rooftop sunsets," from the tactile experience of a "pottery workshop" to the leisurely moments of "wine tasting at a vineyard"—offering a unique sense of occasion for every couple. Whether it's cozy, experiential, or luxurious, love always finds the most fitting expression. May you all find the perfect atmosphere for your love story.
The ice hockey schedule for the Milano Cortina 2026 Winter Olympics, featuring preliminary rounds, quarterfinals, and medal matches for both men's and women's tournaments from February 5–22. All game times are listed in Eastern Standard Time (EST).
Junior high school mathematics
Mathematical Competition
Numbers and formulas
Number (need to be reduced to its simplest form)
Category one
Irrational numbers
rational numbers
integer
Fraction
Category 2
positive real numbers
0
The opposite of 0 is itself, 0 has no reciprocal
Negative real numbers
Mode
concept
rational expression
Integer
Classification
Monomial
Polynomials (adding and subtracting monomials)
question type
linear equation of two variables
Substitute elimination method
Addition, subtraction and elimination method
Quadratic equation of one variable
Root formula
root judgment
Vedic theorem
Fractions (with letters in the denominator) are not reducible
irrational (There are letters under the root sign)
radical
square root
arithmetic square root
cube root
Simplification method
direct formula
cross multiplication
axis
Three elements
Comparison of size
Transformation of graphics
Equations and Inequalities
linear equation of one variable
System of linear equations in two variables
Quadratic equation of one variable
Fractional equation
Operation
practice
question type
1. Find parameters with increasing roots
2. Finding parameters without solution
Possibility 1:X has roots
Possibility 2: The algebraic expression representing X is meaningless
That is, the denominator is 0
3. Have a solution
Related concepts
definition
basic properties
Inequalities and inequality groups
function
nature of graphics
triangle
resemblance
similar judgment
In an RT triangle, the ratio of the hypotenuse is equal to the ratio of the right sides
Two angles are equal
Both sides correspond to equal
congruent
similar properties
The ratio of the perimeters is equal to the similarity ratio of the sides
The ratio of the segments of parallel lines is proportional
The ratio of areas is equal to the square of the similarity ratio of sides
congruent
HL
SAS
AAS
SSS
ASA
Equilateral angles
Equiangular opposite sides
Classification
right triangle
1. In a right triangle, the right-angled side opposite 30 degrees is half of the hypotenuse
Acute triangle
obtuse triangle
round
concept
Circumferential angle
The angles subtended by the same arc are equal (on the same circle)
The angles of arcs of equal length on the same circle are also equal
central angle
The central angle subtended by the same arc is twice the circumferential angle
arc
Youhu
Bad arc
Exactly 180 degrees
Heart
outer center
heart
theorem
Perpendicular diameter theorem
Four points make a circle
If the sum of the diagonal angles of a quadrilateral is equal to 180 degrees, there is a circumscribed circle
Corresponding angles with the same base are equal
circular power theorem
Positional relationship
positional relationship with point
Positional relationship with straight line
sector
Parallelogram
nature
1. Opposite sides of a parallelogram are equal
2. The opposite angles of a parallelogram are equal
3. The diagonals of a parallelogram bisect each other
determination
definition
A quadrilateral with two sets of opposite sides that are parallel
special parallelogram
rectangle
nature
1. All parallelograms have properties
2. Four right angles
3. Diagonals are equal
determination
There is a parallelogram with right angles
diamond
square
determination
nature
1. Four sides are equal
2. The four angles are all right angles
3. Diagonals bisect each other, are perpendicular and equal
4. Bisect interior angles
Pythagorean theorem
Verification of the Pythagorean Theorem
Pythagorean theorem
The converse of the Pythagorean theorem
Application of Pythagorean Theorem