The intersection of the summary of mathematical knowledge points in the second volume of the first day of junior high school
One vertex has a common * * *, one side has a common * * *, and the other side is an extension line opposite to each other. Such two angles are called adjacent complementary angles.
There are four pairs of adjacent complementary angles when two straight lines intersect.
There is a vertex with a common * * *, and both sides of the corner are opposite extension lines. These two angles are called antipodal angles.
Two straight lines intersect and have two opposite angles.
The vertex angles are equal.
Two straight lines intersect, and one of the four corners is a right angle, so the two straight lines are perpendicular to each other. One of the straight lines is called the perpendicular of the other straight line, and their intersection point is called the vertical foot.
Parallel lines and their determination
Property 1: Two straight lines are parallel and equal to the complementary angle.
Property 2: Two straight lines are parallel and the internal dislocation angles are equal.
Property 3: Two straight lines are parallel and complementary.
Properties of parallel lines
Property 1 Two parallel lines are cut by a third line, and the congruence angles are equal. To put it simply: two straight lines are parallel and have the same angle.
Property 2 Two parallel lines are cut by a third straight line, and their internal angles are equal. To put it simply: two straight lines are parallel and their internal angles are equal.
Property 3 Two parallel lines are cut by a third straight line and complement each other. Simply put, two straight lines are parallel and complementary.
translate
Translate one unit length to the left and you can get the corresponding point (x-a, y).
Translate b unit lengths upwards, and you can get the corresponding point (x, y+b).
By translating down by b unit lengths, the corresponding point (x, y-b) can be obtained.
Summary of Mathematical Knowledge Points of Polynomial Divided by Monomial in Volume II of Beijing Normal University Edition, Grade One.
First of all, the monomial
1, an algebraic expression of the product of numbers and letters, is called a monomial.
2. The single numerical factor is called the single coefficient.
3. The index of all the letters in the monomial and the number of times called the monomial.
4. A single number or letter is also a monomial.
5. The coefficient of monomial with only letter factor is 1 or-1.
6. A number is a monomial, and its coefficient is itself.
7. The degree of a single nonzero constant is 0.
8. A single item can only contain multiplication or power operation, and cannot contain other operations such as addition and subtraction.
9. The coefficient of the monomial includes the symbol before it.
10, when the coefficient of the monomial is a fraction, it should be turned into a false fraction.
When 1 1 and the single coefficient is 1 or-1, the number "1" is usually omitted.
12, the number of monomials is only related to letters, and has nothing to do with the coefficient of monomials.
Second, polynomials
The sum of 1 and several monomials is called a polynomial.
2. Each monomial in a polynomial is called a polynomial term.
3. The term without letters in polynomial is called constant term.
4. A polynomial has several terms, which are called polynomials.
5. Every term of polynomial includes the symbol before the term.
6. Polynomials have no concept of coefficient, but have the concept of degree.
7. The degree of the degree term in a polynomial is called the degree of the polynomial.
Conceptual knowledge of mathematics review materials in the second volume of the first day of junior high school
1, monomial: The product of numbers and letters is called monomial.
2. Polynomial: The sum of several monomials is called polynomial.
3. Algebraic expressions: monomials and polynomials are collectively referred to as algebraic expressions.
4. The number of monomials: The sum of the indices of all the letters in the monomials is called the number of monomials.
5. Degree of Polynomial: The degree of the degree term in a polynomial is the degree of this polynomial.
6. Complementary angle: The sum of two angles is 90 degrees, and these two angles are called complementary angles.
7. Complementary angle: The sum of two angles is 180 degrees, and these two angles are called complementary angles.
8. Relative vertex angles: two corners have a common vertex, and two sides of one corner are opposite to the extension lines of two sides of the other corner. These two angles are antipodal angles.
9. Common angle: In the "three-line octagon", the angles at the same position are common angles.
10, internal angle: in the "three-line octagon", the angle sandwiched between two straight lines is the internal angle.
1 1, ipsilateral inner angle: in "trilinear octagon", the angle on the same side of trilinear is ipsilateral inner angle.
12, significant number: an approximation, starting with the first number on the left that is not 0 and ending with the exact 1, all numbers are significant numbers.
13, probability: the probability of an event is the probability of this event.
14, triangle: A figure composed of three line segments that are not on the same line is called a triangle.
15, Angle bisector of triangle: In a triangle, the angle bisector of an inner angle intersects its opposite side, and the line segment between the intersection of the vertex and this angle is called the angle bisector of triangle.
16, triangle midline: the line segment connecting the vertex and the midpoint of the opposite side of the triangle is called the midline of the triangle.
17. Height line of triangle: Draw a vertical line from one vertex of triangle to the line where its opposite side is located, and the line segment between vertex and vertical foot is called height line of triangle.
18, congruent graphics: two graphics that can overlap are called congruent graphics.
19, variable: the number of changes is called variable.
20. Independent variable: If there is an active change in the amount of change, it is called an independent variable.
2 1, dependent variable: the quantity that changes passively with the change of independent variables is called dependent variable.
22. Axisymmetric figure: If a figure is folded along a straight line and the parts on both sides of the straight line can overlap each other, then this figure is called an axisymmetric figure.
23. Symmetry axis: A straight line folded in half in an axisymmetric figure is called symmetry axis.
24. perpendicular bisector: The line segment is an axisymmetric figure, and its symmetry axis is perpendicular to this line segment and divides it into two parts. Such a straight line is called the midline of this line segment. (refers to the middle vertical line)
Related articles on the summary of knowledge points in the second volume of seventh grade mathematics;
★ Summary of seventh grade mathematics knowledge points
★ Summary of basic knowledge points in the second volume of junior high school mathematics
★ The arrangement of knowledge points in the second volume of seventh grade mathematics
★ Knowledge points in the second volume of seventh grade mathematics published by People's Education Edition
★ Summary of knowledge points in the second volume of seventh grade mathematics
★ Summarize the knowledge points in the second volume of Mathematics in Grade One.
★ outline of knowledge points in the second volume of seventh grade mathematics
★ Important knowledge points in the second volume of Grade One Mathematics
★ Summary of important knowledge points in the first and second volumes of seventh grade mathematics.
★ People's Education Edition, Grade One Mathematics, Book Two, review and summarize knowledge points, and prepare for the senior high school entrance examination.
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