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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