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All mathematical concepts in junior high school are from grade one to grade three.
Junior high school mathematics concept

Junior high school mathematics concept

First, algebra

1. Basic knowledge of algebra

[algebraic expression]

[column algebra]

[algebraic value]

[formula]

2. Rational number

2. The meaning of1rational number

[positive number]

[negative number]

[integer]

[score]

[rational number]

[number axis]

[Countdown]

[absolute value]

[Comparison of negative numbers]

2.2 the operation of rational numbers

Law of rational number addition

[additive commutative law]

associative law of addition

[Rational number subtraction rule]

[Addition and subtraction mixed operation of rational numbers]

Law of rational number multiplication

Commutative law of multiplication

Multiplicative associative law

distribution law

[Countdown]

[Rational number division rule]

[multiplier]

[scientific symbol]

[Operation Order of Rational Numbers]

approximate value

[accuracy]

[significant figure]

[square table]

Cubic table

3. Addition and subtraction of algebraic expressions

[single item]

[Single coefficient]

[Number of times of monomial]

multinomial

[polynomial term]

constant term

Polynomial degree

[descending order]

ascending order

[algebraic expression]

[Similar projects]

[Merge similar projects]

[Law of Merging Similar Items]

[Rule for removing brackets]

[parenthesis rule]

Addition and subtraction of algebraic expressions.

4. One-dimensional linear equation

[equation]

[known quantity]

[unknown]

[equation]

[Solution of equation]

[solving equation]

[One-dimensional linear equation]

[transfer project]

[Steps to Solve a One-variable Linear Equation]

[Standard form of linear equation]

Homotopy equation

[List the steps of solving application problems with linear equations of one variable]

5. Binary linear equation

Binary linear equation

[Binary linear equation]

[Solution of Binary Linear Equation]

[Steps of Solving Binary Linear Equations by Generation and Elimination Method]

[Steps to Solve Binary Linear Equations by Addition, Subtraction and Elimination]

[ternary linear equation]

[Application of Linear Equation]

6. One-dimensional linear inequalities and inequality groups

[Inequality]

[Basic properties of inequality]

[Solution set of inequality]

[Addressing inequality]

[One-dimensional linear inequality]

[Solving Steps of Unary Linear Inequality]

"Homosolution inequality" [principle of homosolution inequality]

[One-dimensional linear inequality system]

[Solution set of one-dimensional linear inequality system]

[Solving Inequality Group]

[Don't solve one yuan at a time.

Steps of equations]

7. Multiplication and division of algebraic expressions

7. Multiplication of1algebraic expression

Law of power multiplication with the same base

Law of power to power

Multiplication law of product.

[law of monomial multiplication]

Multiplication law of monomial and polynomial

Polynomial and Polynomial Multiplication Rules

[Product formula of linear binomial with two identical letters]

7.2 multiplication formula

[Square difference formula]

[Complete Square Formula]

Complete cubic formula

[Square formula of sum of three terms]

[Formula of Cubic Sum and Cubic Difference]

7.3 Division of algebraic expressions

The law of division with the same radix power.

[Law of dividing monomial by monomial]

[Law of Polynomial Divided by Monomial]

Polynomial divided by polynomial law

8. Factorization

resolution into factors

[Common factors]

[Improving common factor method]

[parenthesis rule]

[Using Formula Method]

Group multiplication

[cross multiplication]

[Matching method]

[Steps of Polynomial Factorization]

9. Score

[score]

[rational formula]

[Basic Properties of Fractions]

[approximate score]

[general steps]

[simplest score]

[law of fractional multiplication]

[law of fractional division]

[law of fractional power]

Comprehensive score

The simplest common ground

[Addition and subtraction of fractions]

The law of fractional addition and subtraction with the same denominator

Fraction addition and subtraction laws of different denominators

[Mixed operation of fractions]

[Solution of linear equation of one variable with letter coefficient]

[Formula deformation]

fractional equation

[integral equation]

[take root]

【 Fractional equation solving steps 】

10. The root of a number

[square root]

[square root]

[arithmetic square root]

Square root table

[cube root]

[Issuer]

[n-th root]

[turn on n power supply]

N-degree arithmetic root

[prescription]

[cube root table]

[irrational number]

[real number]

1 1. Quadratic radical

[quadratic radical]

[arithmetic square root of product]

[multiplication of quadratic roots]

[Compare the size of quadratic root]

[arithmetic square root of quotient]

[Division of quadratic roots]

[Denominator is rational]

[simplest quadratic root]

[Similar Quadratic Radical]

[Addition and subtraction of quadratic root]

[Mixed operation of quadratic roots]

[Physical and chemical factors]

[Simplification of quadratic roots]

[fractional exponential power]

12. One-variable quadratic equation

12. 1 unary quadratic equation

[integral equation]

[unary quadratic equation]

[Solution of quadratic equation in one variable]

[discriminant formula for roots of quadratic equation in one variable]

[The relationship between roots and coefficients of quadratic equation in one variable]

[Factorization of quadratic trinomial (by formula)]

12.2 can be reduced to fractional equation and irrational equation of quadratic equation in one variable.

[Fractional equation that can be reduced to a quadratic equation of one variable]

Unreasonable equation

rational equation

[Solution of irrational number equation]

equation of higher order

biquadratic equation

12.3 simple binary quadratic equation

[Binary Quadratic Equation]

[Binary Quadratic Equation]

[Solution of Simple Binary Quadratic Equation]

Function and its image.

[Coordinates of points on the number axis]

rectangular coordinates/ cartesian coordinates

[Coordinates of points in rectangular coordinate system]

【 Symbolic Law of Four Quadrant Points 】

[Distance formula between two points on rectangular coordinate plane]

[Constants and Variables]

[Function]

[functional domain]

[Function value]

[Constant function]

[Representation of Function]

Analysis

tabulation method

method of images

directly proportional function

[Proportional function image]

[Properties of Proportional Function]

[linear function]

[Linear Function Image]

[Properties of Linear Functions]

method of undetermined coefficients

quadratic function

[Quadratic function image]

[Properties of Quadratic Functions]

【 Using undetermined coefficient method to find the analytical formula of quadratic function 】

Maximum value of quadratic function and its application

[The relationship between quadratic function and unary quadratic equation]

inverse proportion function

[Inverse Proportional Function Image]

[Properties of Inverse Proportional Function]

14. Preliminary statistics

[average]

[Simplified formula for calculating average value]

[weighted average]

[Overall]

[example]

[Sample size]

[Overall]

Average]

[Sample average]

[mode]

[median]

[Difference]

[standard deviation]

[Simplified calculation formula of variance]

[Sample Difference]

[Population difference]

[Number and distance of groups]

[frequency]

[frequency]

frequency table

[Frequency Distribution Map]

[Cumulative percentage]

[Random sampling]

[Systematic sampling]

[stratified sampling]

Two-dimensional geometry

1. Line segment and angle

1. 1 lines, rays and segments

straight line

linear axiom

[Two straight lines intersect]

[Basic properties of straight lines]

[thunder]

[line segment]

[midpoint of line segment]

Axiom of line segment

[Distance between two points]

1.2 degree angle

[horn]

[boxer]

[rounded corners]

[bisector of angle]

[right angle]

[acute angle]

[obtuse angle]

[complement each other]

[complement each other]

[Nature of complementary angle]

[Nature of Complementary Angle]

2. Intersecting lines and parallel lines

2. 1 intersecting lines, vertical lines and parallel lines

[Diagonal]

[Adjacent complementary angle]

[diagonal properties]

[vertical]

[Properties of vertical line I]

[Vertical segment]

[Nature of Vertical Line II]

[Distance from point to straight line]

[equidistant angle]

[inner corner]

[ipsilateral inner angle]

[parallel lines]

[parallel axiom]

[Inference of parallel axioms]

[Determination of parallel lines]

[Properties of parallel lines]

2.2 propositions, theorems and proofs

[proposition]

[true proposition]

[false proposition]

[axiom]

theorem

[proof]

Step 3: Triangle

3. Some Properties of1Triangle

[triangle]

[edge of triangle]

vertex of a triangle

[Inside Angle of Triangle]

[Angle bisector of triangle]

[center line of triangle]

[high line of triangle]

[equilateral triangle]

[isosceles triangle]

[equilateral triangle]

[triangular trilateral relationship]

[Inference of Trilateral Relation Theorem of Triangle]

[Theorem of Sum of Interior Angles of Triangle]

[auxiliary line]

[acute triangle]

[right triangle]

[obtuse triangle]

oblique triangle

[isosceles right triangle]

[outer corner of triangle]

[Inference of the Theorem of the Internal Angle of Triangle]

3.2 congruent triangles

[conformal]

[Nature of congruent triangles]

[Determination of Triangle Consistency]

Axiom of hypotenuse and right angle.

the theorem of angle bisector

[Inverse Proposition]

converse theorem

3.3 ruler drawing

[ruler drawing]

[Basic Drawing]

3.4 isosceles triangle

[Properties of isosceles triangle]

[Determination of isosceles triangle]

[Median Vertical Theorem of Line Segment]

axisymmetric

[Axisymmetric Theorem]

axial symmetric figure

3.5 Pythagorean Theorem

pythagorean theorem

[Inverse Theorem of Pythagorean Theorem]

4. Quadrilateral

4. Some properties of1quadrilateral

[quadrilateral]

[convex quadrilateral]

[Diagonal line of quadrilateral]

[Inner Angle of Quadrilateral]

【 Quadrilateral Interior Angle Sum Theorem 】

[Exterior corner of quadrilateral]

[Quadrilateral Exterior Angle Sum Theorem]

[Polygon]

[theorem of sum of interior angles of polygons]

[Inference of the theorem of sum of interior angles of polygons]

4.2 parallelogram

[parallelogram]

[parallelogram properties]

[Distance between two parallel lines]

[Determination of parallelogram]

[rectangle]

[Rectangular property theorem]

[Rectangular Judgment Theorem]

[diamonds]

[Theorem of Diamond Properties]

[Diamond Judgment Theorem]

[square]

[Theorem of Square Property]

[Central symmetry]

[Property Theorem and Inverse Theorem of Central Symmetry]

[Central Symmetric Figure]

4.3 trapezoid

[trapezoid]

[Right-angled trapezoid]

[isosceles trapezoid]

【 Isosceles Trapezoidal Property Theorem 】

【 isosceles trapezoid judgment theorem 】

[Theorem of Equal Segment of Parallel Lines]

[Inference of the Theorem of Equal Segment of Parallel Lines]

[center line of triangle]

[Triangle midline theorem]

[Trapezoidal midline]

[Trapezoidal midline theorem]

5 Similar shapes

5. 1 proportional line segment

[Ratio of two line segments]

[proportional line segment]

[Proportional items, out-of-proportion items, in-proportion items and fourth proportion items]

[Median Proportion]

[Basic nature of proportion]

【 Inference of basic nature of proportion 】

[Two Important Properties of Proportion]

[golden section]

[Proportional Theorem of Parallel Lines]

[Inference of the Proportional Theorem of Parallel Lines]

Determination and properties of parallel lines on one side of triangle

5.2 similar triangles

[Similar triangle]

[similarity rate]

[similar triangles's Judgment]

[Judgment Theorem of Similarity of Right Triangle]

[Nature of similar triangles]

[Similar Polygon]

[Similarity rate of similar polygons]

[Property Theorem of Similar Polygons]

6. Solve the right triangle

Tangent and cotangent

[Positive cotangent value of complementary angle]

Sine and cosine

[Sine and Cosine Values of Complementary Angle]

[Triangle ratio of acute angle]

[Triangle ratio of special acute angle]

[The relationship between the ratio of the same angle and the triangle]

[Solving Right Triangle]

[slope]

7. Circle

Some properties of1circle

[circle]

The positional relationship between point and circle and its determination

[inside and outside of a circle]

[string]

[Diameter]

[arc]

[semicircle]

【 Arc Excellence, Arc Difference 】

[Bowing]

concentric circles

equal circles

equal arcs

[locus of points]

[Five Basic Trajectories]

Determination of circle

[circumscribed circle of triangle, inscribed triangle of circle]

[anti]

Proof method]

Symmetry of circle

【 Vertical Diameter Theorem and Its Inference 】

[central angle]

[chord center distance]

[Theorem of the relationship between central angle, arc, chord and chord center distance and its inference]

[Arc of1

[Degree of Central Angle]

[Circular angle]

[Angle Theorem of Circle and Its Inference]

[inscribed quadrilateral of circle]

[property theorem of inscribed quadrilateral of circle]

[Determination method of inscribed quadrilateral of circle (four-point * * * circle)]

7.2 The positional relationship between straight line and circle

[positional relationship between straight line and circle]

Determination of the positional relationship between straight line and circle

[Judgment Theorem of Tangent]

[Property Theorem of Tangent]

[inscribed circle of triangle and circumscribed circle of circle]

[inscribed circle of polygon, circumscribed circle of circle]

[Tangent Length]

[Tangent Length Theorem]

[Chord angle]

【 Chord Angle Theorem and Inference 】

[Proportional line segment related to circle (circle power theorem)]

7.3 Relationship between Circle and Circle

[positional relationship between circles]

[Center distance]

[Determine the positional relationship between two circles]

[connecting line]

[Properties of straight lines connecting two circles]

[Common tangent of two circles]

[Properties of Common Tangents]

[Arc connection]

[External connection, internal connection]

7.4 Regular Polygons and Circles

[regular polygon]

[Judgement Theorem of Regular Polygons]

[center of regular polygon]

[radius of regular polygon]

[Vertex of Regular Polygon]

[Central Angle of Regular Polygon]

[Property Theorem of Regular Polygon]

[Calculation of Regular N-Polygon]

[draw more.

Edge]

[Divide the circle equally with a protractor]

[Divide the circle equally with a ruler]

[circumference] [arc length]

[circular area] [sector]

[department]

Area [arch area]

[cylinder] [lateral expansion of cylinder]

Open the map [side area of cylinder]

[Surface area of cylinder]

[cone]

[Side spread of cone]

[Transverse area of cone]

[Surface area of cone]

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