Chapter 1: One-dimensional linear inequality and one-dimensional linear inequality group inequality: the formula of inequality connection is called the solution of inequality inequality; The value of the unknown quantity that can make the inequality hold is called the solution of the inequality; The process of finding the solution set of inequality is called one-dimensional linear inequality; There is only one unknown, and the highest degree of the unknown is an inequality. One-dimensional linear inequality group: several one-dimensional linear inequalities about the same unknown quantity are combined into the solution set of one-dimensional linear inequality group: the common part of the solution set of each inequality in one-dimensional linear inequality group is solved: the process of solving the solution set of spherical inequality group is chapter 2: decomposition factor; The method of transforming a polynomial into the product of several algebraic expressions is called the common factor method: the common factor of a polynomial is put forward to transform the polynomial into the product of two factors. This method of factorization is called common factorization: a method of factorizing some polynomials in turn through open multiplication. Chapter III Fraction: Algebraic expression A is divided by algebraic expression B. If there are letters in divisor B, A/B is called the divisor of algebraic expression fraction: the common factor of numerator and denominator of a fraction is converted into the general fraction of the fraction. According to the basic properties of fractions, fractions with different denominators can be converted into fractions with the same denominator. This process is called the general fractional equation of fraction: the equation with unknown number in denominator. Chapter 4: The ratio of similar graph line segments: If two line segments AB are measured with the same length unit, the length of CD is m and n respectively. Then say the ratio of these two line segments AB:CD=m:n Proportional line segment: among the four line segments A, B, C and D, if the ratio of A and B is equal to the ratio of C and D, that is, a/b=c/d, then these four line segments A, B, C and D are called proportional line segments, which is referred to as the golden section of proportional line segment for short: point C divides line segment AB into two line segments AC and BC, if Similar triangles: Triangle corresponds to the same, and three sides correspond to two triangles in proportion. Chapter 5: General situation of data collection and processing: a comprehensive survey of the respondents: all individuals of the respondents: a sampling survey of each object that constitutes the population: the survey frequency of some individuals in the population: the frequency of each object's appearance: the proportion of each object's appearance to the total number. Chapter six proves (1) proposition: the sentence axiom of judging one thing: cognition. Theorem of True Proposition: Proof and Inference of True Proposition: Theorem Derived Directly from an Axiom or Theorem 12 The first chapter goes into the mathematical world.

1. into the world of mathematics?

2. Let's do math

3. Walk into the world of mathematics

Chapter II Rational Numbers

1. Knowledge about rational numbers

2. Addition and subtraction of rational numbers

3. Multiplication, division and power of rational numbers

4. Mixed operation of rational numbers

Chapter III Addition and subtraction of algebraic expressions

Addition and subtraction of 1. algebraic expressions

2. Algebraic expression

3. Algebraic expressions (continued)

The fourth chapter is a preliminary understanding of graphics.

1. Stereo graphics and plane graphics

2. The most basic graphics-points, lines and angles

3. Angle in intersection line

4. Vertical and parallel lines

5. Identification and characteristics of parallel lines

Chapter V Data Collection and Representation

1. data collection and presentation

Chapter VI One-variable Linear Equation

1. Concept and solution of one-dimensional linear equation

2. The solution of one-dimensional linear equation

3. The application of one-dimensional linear equation

4. One-dimensional linear inequality (group)

Chapter VII Binary Linear Equations

1. Solution of binary linear equations (continued)

2. Solving binary linear equations

3. Three-dimensional linear equation

4. Binary linear equation

5. Binary linear equation

6. Solution and application of binary linear equations.

Chapter VIII Polygons

1. polygon

2. Polygon practice class

Chapter 9 Axisymmetric

1. Axisymmetric

Chapter 10 A Preliminary Understanding of Statistics

1. Statistical significance

2. Review the preliminary understanding of statistics? 1 There is only one straight line after two o'clock?

2 The shortest line segment between two points?

Are the complementary angles of the same angle or the same angle equal?

Are the complementary angles of the same angle or the same angle equal?

Is there one and only one straight line perpendicular to the known straight line?

Of all the line segments connecting a point outside the straight line with points on the straight line, the vertical line segment is the shortest.

7 parallel axiom passes through a point outside the straight line, and there is only one straight line parallel to this straight line?

If two lines are parallel to the third line, are the two lines parallel to each other?

9 The same angle is equal and two straight lines are parallel?

10 internal dislocation angles are equal, and two straight lines are parallel?

1 1 complementary, two straight lines parallel?

12 Two straight lines are parallel and have the same angle?

13 Two straight lines are parallel, and the internal dislocation angles are equal?

14 Two straight lines are parallel and their internal angles are complementary?

Theorem 15 The sum of two sides of a triangle is greater than the third side?

16 infers that the difference between two sides of a triangle is smaller than the third side?

The sum of the internal angles of 17 triangle is equal to 180?

18 Inference 1 Are the two acute angles of a right triangle complementary?

19 Inference 2 An outer angle of a triangle is equal to the sum of two inner angles that are not adjacent to it?

Inference 3: Is an outer angle of a triangle greater than any inner angle that is not adjacent to it?

Are the edges and angles corresponding to 2 1 congruent triangles equal?

22 Angle and Edge Axiom (SAS) has two triangles, and their two sides are equal to their included angles.

The Corner Axiom (ASA) has two congruent triangles, two angles and their sides.

The inference (AAS) has two angles, and the opposite side of one angle corresponds to the congruence of two triangles.

The axiom of 25 sides (SSS) has two triangles with equal sides.

Axiom of hypotenuse and right-angled edge (HL) Are two right-angled triangles with hypotenuse and right-angled edge identical?

Theorem 1 Is the distance between a point on the bisector of an angle equal to both sides of the angle?

Theorem 2: Is the point at which both sides of an angle are equidistant on the bisector of this angle?

The bisector of an angle of 29 is the set of all points with equal distance to both sides of the angle?

The property theorem of isosceles triangle is that the two base angles of isosceles triangle are equal (that is, equilateral and equilateral)?

3 1 Inference 1 The bisector of the vertices of an isosceles triangle bisects the base and is perpendicular to the base?

Do the bisector of the top angle of the isosceles triangle, the median line on the bottom edge and the height on the bottom edge coincide?

Inference 3 All angles of an equilateral triangle are equal, and each angle is equal to 60?

34 Judgment Theorem of an isosceles triangle If a triangle has two equal angles, then the opposite sides of the two angles are also equal (equal angles and equal sides)?

35 Inference 1 Is a triangle with three equal angles an equilateral triangle?

Inference 2 Is an isosceles triangle with an angle equal to 60 an equilateral triangle?

In a right triangle, if an acute angle equals 30, then the right side it faces is equal to half of the hypotenuse?

38 The median line on the hypotenuse of a right triangle is equal to half of the hypotenuse?

Theorem 39 Is the distance between the point on the vertical line of a line segment and the two endpoints of this line segment equal?

The point where the inverse theorem and the distance between the two endpoints of a line segment are equal is on the middle vertical line of this line segment?

The perpendicular bisector of 4 1 line segment can be regarded as the set of all points with the same distance at both ends of the line segment?

Theorem 42 1 Are two graphs conformal and symmetric about a straight line?

Theorem 2 If two figures are symmetrical about a straight line, then the symmetry axis is the perpendicular line connecting the corresponding points?

Theorem 3 Two graphs are symmetrical about a straight line. If their corresponding line segments or extension lines intersect, then the intersection point is on the axis of symmetry?

45 Inverse Theorem If the straight line connecting the corresponding points of two graphs is vertically bisected by the same straight line, then the two graphs are symmetrical about this straight line?

46 Pythagorean Theorem The sum of squares of two right angles A and B of a right triangle is equal to the square of the hypotenuse C, that is, A 2+B 2 = C 2?

47 Inverse Theorem of Pythagorean Theorem If the lengths of three sides of a triangle A, B and C are related to A 2+B 2 = C 2, then this triangle is a right triangle?

Theorem 48 The sum of the internal angles of the quadrilateral is equal to 360?

Is the sum of the external angles of a 49 quadrilateral equal to 360?

The theorem of the sum of internal angles of 50 polygons is equal to (n-2) × 180?

5 1 infer that the sum of the external angles of any polygon is equal to 360?

52 parallelogram property theorem 1 parallelogram diagonal equality?

53 parallelogram property theorem 2 Are the opposite sides of the parallelogram equal?

The inference that parallel lines sandwiched between two parallel lines are equal?

55 parallelogram property theorem 3 diagonal bisection of parallelogram?

56 parallelogram decision theorem 1 is two groups of parallelograms with equal diagonals?

57 parallelogram decision theorem 2 two groups of parallelograms with equal opposite sides?

58 parallelogram decision theorem 3 A quadrilateral whose diagonal is bisected is a parallelogram?

59 parallelogram decision theorem 4 A group of parallelograms with equal opposite sides are parallelograms?

60 Rectangle Property Theorem 1 Are all four corners of a rectangle right angles?

6 1 rectangle property theorem 2 Are the diagonals of rectangles equal?

62 rectangle judgment theorem 1 Is a quadrilateral with three right angles a rectangle?

63 Rectangular Decision Theorem 2 Is a parallelogram with equal diagonals a rectangle?

64 Diamond Property Theorem 1 Are all four sides of a diamond equal?

65 Diamond Property Theorem 2 Diagonal lines of the diamond are perpendicular to each other, and each diagonal line bisects a set of diagonal lines?

66 diamond area = half of diagonal product, that is, S=(a×b)÷2?

67 diamond decision theorem 1 Is a quadrilateral with four equilateral sides a diamond?

68 Diamond Decision Theorem 2 Are parallelograms whose diagonals are perpendicular to each other diamonds?

69 Theorem of Square Properties 1 All four corners of a square are right angles and all four sides are equal?

70 square property theorem 2 Two diagonals of a square are equal and bisected vertically, and each diagonal bisects a set of diagonals?

Theorem 7 1 on two centrosymmetric graphs 1 congruence?

Theorem 2 About two graphs with central symmetry, the connecting lines of symmetrical points both pass through the symmetrical center and are equally divided by the symmetrical center?

73 Inverse Theorem If a straight line connecting the corresponding points of two graphs passes through a certain point and is bounded by it?

The point is equally divided, so these two figures are symmetrical about this point?

74 isosceles trapezoid property theorem Are the two angles of isosceles trapezoid equal on the same base?

Are the two diagonals of the isosceles trapezoid equal?

76 isosceles trapezoid decision theorem Are two equilateral trapezoid on the same base isosceles trapezoid?

Is a trapezoid with equal diagonal lines an isosceles trapezoid?

78 parallel lines bisect line segment theorem If a group of parallel lines cut a line segment on a straight line?

Equal, then the segments cut on other straight lines are equal?

79 Inference 1 Will a straight line passing through the midpoint of one waist of a trapezoid and parallel to the bottom bisect the other waist?

Inference 2 A straight line passing through the midpoint of one side of a triangle and parallel to the other side will be equally divided.

Trilateral?

The median line theorem of 8 1 triangle The median line of a triangle is parallel to the third side, and is equal to it?

Half?

The trapezoid midline theorem is parallel to the two bottoms and equals the sum of the two bottoms.

Half L=(a+b)÷2 S=L×h?

Basic properties of ratio 83 (1) If a:b=c:d, then ad=bc?

If ad=bc, then a:b=c:d?

84 (2) Combinatorial Properties If A/B = C/D, then (A B)/B = (C D)/D?

85 (3) Isometric Property If A/B = C/D = … = M/N (B+D+…+N ≠ 0), then?

(a+c+…+m)/(b+d+…+n)=a/b？

Proportional theorem of dividing parallel lines into line segments What is the corresponding result when three parallel lines cut two straight lines?

The line segments are proportional?

It is inferred that a straight line parallel to one side of a triangle intersects with the other two sides (or extension lines of both sides), and the corresponding line segments are proportional?

Theorem 88 If the corresponding line segments obtained by cutting two sides (or extension lines of two sides) of a triangle are proportional, then this line is parallel to the third side of the triangle?

A straight line parallel to one side of a triangle and intersecting with the other two sides. The three sides of the triangle are proportional to the three sides of the original triangle?

Theorem 90 A straight line parallel to one side of a triangle intersects the other two sides (or extension lines of both sides), and the triangle formed is similar to the original triangle?

9 1 similar triangles's decision theorem 1 Two angles are equal and two triangles are similar (ASA)?

Are the two right-angled triangles on the hypotenuse divided by the height similar to the original triangle?

Decision Theorem 2: Two sides are proportional and the included angle is equal, and two triangles are similar (SAS)?

94 Decision Theorem 3 Three sides are proportional and two triangles are similar (SSS)?

Theorem 95 If the hypotenuse of a right-angled triangle and one right-angled side and the other right-angled side are three?

The hypotenuse of an angle is proportional to a right-angled side, so these two right-angled triangles are similar?

96 property theorem 1 similar triangles corresponds to the height ratio, and the ratio corresponding to the center line is equal to the corresponding angle?

Is the ratio of dividing lines equal to the similarity ratio?

97 Property Theorem 2 Is the ratio of similar triangles perimeter equal to the similarity ratio?

98 Property Theorem 3 Is the ratio of similar triangles area equal to the square of similarity ratio?

The sine value of any acute angle is equal to the cosine value of other angles, the cosine value of any acute angle, etc.

What is the sine of its complementary angle?

100 The tangent of any acute angle is equal to the cotangent of other angles, cotangent of any acute angle, etc.

What is the tangent of its complementary angle? Hope to adopt