Several simple sums are called polynomials. ?

In the monomial, the exponential sum of all letters is called the number of times in this one-way form. ?

The degree of the term with the highest degree in a polynomial is called the degree of the polynomial. ?

1.3? Multiply by the power of the enemy number, the cardinal number is unchanged, and the exponent is added. ?

1.4 power, constant base, exponential multiplication. ?

The power of product is equal to the product of each factor. ?

1.4 Divide by the power with the same base, with the same base, and subtract exponentially. ?

Any nonzero number with a power of 0 is equal to 1?

1.6? Multiply the monomial with the monomial, multiply their coefficients and the power of the same letter respectively, and the remaining letters, together with their exponents, remain unchanged as the factors of the product. ?

Multiplying polynomial with monomial means multiplying each term of polynomial by monomial according to the distribution law, and then adding the products. ?

Polynomials are commensurate with polynomials. First, multiply each term of one polynomial by each term of another polynomial, and then add the products. ?

1.7? The product of the sum of two numbers and the difference between these two numbers is equal to their square difference?

1.9? Monomial division, which is divided by the coefficient and the same base respectively, is used as the factor on the table; For a letter only contained in the division formula, it is a factor in the world together with its straight tree. ?

Polynomial divided by monomial, first divide each term of this polynomial by monomial, and then add the obtained quotients. ?

2. 1? Fill in the corner?

What is the definition of complementary angle? If the sum of two angles is a right angle, then these two angles are called complementary angles. One angle is called the complementary angle of the other angle?

∠A？ +∠C= 180，∠A=？ 180 -∠C？ Complementary angle of ∠C = 180-∠ c? That is, the complementary angle of ∠A = 180-∠ a?

The nature of complementary angle:?

The complementary angles of the same angle are equal. For example: ∠ A+∠C=∠B = 180, ∠ A+∠ C = 180, then: ∠C=∠B?

The complementary angles of equal angles are equal. For example: ∠ A+∠C=∠B = 180, ∠ D+∠ C = 180, ∠ A = ∠ D: ∠ C = ∠.

Residual angle?

If the sum of two angles is a right angle, then these two angles are called complementary angles, or one of them is the complementary angle of the other. ∠A？ +∠C=90，∠A=？ 90 -∠C？ Complementary angle of ∠C = 90-∠ C? That is, the complementary angle of ∠ A = 90-∠ A?

The nature of complementary angle:?

The complementary angles of the same angle are equal. For example: ∠ A+∠C=∠B = 90, ∠ A+∠ C = 90, then: ∠C=∠B?

The complementary angles of equal angles are equal. For example, ∠ A+∠C=∠B = 90, ∠ D+∠ C = 90, ∠ A = ∠ D = ∠ B?

Are the vertex angles equal?

2.2?

Equal angle? Definition?

As shown in the figure, both of them are on the same side of the section line and on the same side as the other two straight lines. A diagonal line with such a positional relationship is called an isosurface?

What is the definition of internal angle?

Two straight lines AB and CD are cut into eight angles by a third straight line EF. If both angles are on the inside of two straight lines and on both sides of the third straight line, then such a diagonal is called an inscribed angle. ?

Definition of ipsilateral internal angle?

The inner angle of the same side, "the same side" refers to the same side of the third straight line; "Inside" means between two straight lines cut. ?

Among the eight angles formed by two straight lines being cut by the third straight line, there are four pairs of congruent angles, two pairs of internal staggered angles and two pairs of internal angles on the same side. ?

Characteristics of parallel lines?

1. Two straight lines are parallel and complementary. ?

2. The two straight lines are parallel and the internal dislocation angles are equal. ?

These two straight lines are parallel, and the included angle is equal. ?

Determination of parallel lines?

1. The inner angles on the same side are complementary, and the two straight lines are parallel. ?

2. The internal dislocation angles are equal and the two straight lines are parallel. ?

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

If two straight lines are parallel to the third straight line at the same time, then the two straight lines are parallel to each other. ?

3.2?

A valid number?

Generally speaking, all the figures of a data and its reliable figures plus the first suspicious figure are called the effective figures of the data. ?

4. 1?

☆ Possibility★ refers to the probability of things happening, which is a quantitative index contained in things and indicates the development trend of things. ?

The probability of the inevitable event is 1, and it is recorded as p (inevitable event) =1; The probability of an impossible event is 0, and it is recorded as p (impossible event) = 0; If a is an uncertain event, then 0

Chapter five?

Triangle?

A closed figure consisting of three end-to-end line segments is called a triangle. ?

What are the properties of triangles?

1. The sum of any two sides of a triangle must be greater than the third side? It can also be proved that the difference between any two sides of a triangle must be smaller than the third side. ?

2. Is the sum of the angles in the triangle equal to 180 degrees?

3. The bisector of the vertex, the midline of the bottom and the height of the bottom of the isosceles triangle coincide, that is, the three lines are one. ?

The three heights of a triangle intersect at a point.

The bisectors of the three internal angles of a triangle intersect at one point.

The bisector of the inner corner of a triangle intersects the bisector of the outer corner at the other two vertices.

Isosceles triangle?

Properties of isosceles triangle:?

(1) The two base angles are equal; ?

(2) The bisector of the vertex angle, the median line on the bottom edge and the height on the bottom edge coincide with each other; ?

(3) All angles of an equilateral triangle are equal and equal to 60. ?

Right triangle (RT triangle for short):?

(1) The two acute angles of a right triangle are complementary; ?

(2) The median line on the hypotenuse of the right triangle is equal to half of the hypotenuse; ?

(3) In a right triangle, if there is an acute angle equal to 30, then the right side it faces is equal to half of the hypotenuse; ?

(4) In a right triangle, if a right-angled side is equal to half of the hypotenuse, then the acute angle of this right-angled side is equal to 30; ?

Congruent triangles?

(1) Two triangles that can completely coincide are called congruent triangles.

(2) The nature of congruent triangles. ?

The corresponding angles (edges) of congruent triangles are equal. ?

Congruent triangles's corresponding line segments (angle bisector, median line and height) are equal, with equal perimeter and equal area. ?

(3) congruent triangles's judgment?

A group corresponds to the congruence of two triangles with equal sides (SSS or "edge-to-edge" for short), which also explains the stability of triangles. ?

2. There are two congruent triangles (SAS or "corner sides"), and the two sides and their included angles correspond to each other. ?

3. Two triangles with two corners are congruent with their clamping edges (ASA or "corners"). ?

Can you push it from 3?

4. There are two angles and the opposite side of an angle corresponds to the congruence of two triangles (AAS or "corner edge")?

5. The congruence condition of a right triangle is that the hypotenuse and the right-angled side correspond to the congruence of two right-angled triangles (HL or "hypotenuse, right-angled side")?

Therefore, SSS, SAS, ASA, AAS and HL are all theorems for judging triangle congruence. ?

Chapter seven?

Axisymmetric?

If a graph is folded in half along a straight line, the graphs on both sides of the straight line can completely overlap, and this graph is an axisymmetric graph. ? Symmetry axis: The straight line where the crease lies is called symmetry axis. ?

Property: (1) If two graphs are symmetrical about a straight line, then the symmetry axis is the perpendicular to the line segment connected by any pair of corresponding points?

(2) Is the symmetry axis of an axisymmetric figure the median vertical line of a line segment connected by any pair of corresponding points?

(3) The centrosymmetric figure must be an axisymmetric figure, but the axisymmetric figure is not necessarily a centrosymmetric figure.