Jiangsu education edition seventh grade mathematics textbook catalogue.
Chapter VII Understanding of Plane Graphics (2)
7. 1 Explore the conditions of parallel lines
7.2 Explore the essence of parallel lines
7.3 Graphic Translation
7.4 Understanding Triangle
7.5 Sum of internal angles of triangle
Chapter VIII Operation of Power
8. 1 Multiplication of the same radix power
8.2 the power of and the power of products
8.3 Division of powers with the same base number
Chapter 9 From Area to Multiplication Formula
9. 1 single item multiplied by single item
9.2 Polynomial multiplied by monomial
9.3 Polynomial Multiplication Polynomial
9.4 multiplication formula
9.5 Re-understanding of Polynomial Multiplication Rule by Single Factor Decomposition Method (1)
9.6 Re-understanding of multiplication formula-factorization (2)
Chapter 10 Binary Linear Equation
10. 1 binary linear equation
10.2 binary linear equations
10.3 for solving binary linear equations
10.4 solving problems with equations
Chapter XI Consistency of Graphics
1 1. 1 congruent graph
1 1.2 congruent triangles
1 1.3 Explore the conditions of triangle congruence
Chapter 12 Data is all around us
12. 1 census and sampling survey
12.2 Selection of statistical charts
12.3 frequency distribution table and frequency distribution chart
Chapter 13 Perceived Probability
13. 1 determination and uncertainty
13.2 possibility
Jiangsu education printing plate seventh grade mathematics second volume parallel line knowledge
1. Definitions of congruent angle, internal dislocation angle and ipsilateral internal angle. Two straight lines (a, b) are cut by the third straight line (c), and on the same side of the cut line, they are cut by the same side of the two straight lines. The angle of this positional relationship is called congruent angle, as shown in the figure. 1 and? 8,? 2 and? 7,? 3 and? 6,? 4 and? 5 are all isosceles angles.
Two lines (a, b) are cut by a third straight line (c), and the two corners are on both sides of the cutting line.
And between two cut straight lines, the diagonal line with such a positional relationship is called the inscribed angle. As shown in the figure:
? 1 and? 6,? 2 and? 5 are all isosceles angles.
Two lines (a, b) are cut by a third straight line (c), and the two corners are on the same side of the cutting line.
And between the two cutting lines, a diagonal with this positional relationship is the same side inner angle.
(Inner corner of the same side). As shown in the figure: 1 and? 5,? 2 and? 6 are all isosceles angles.
2, the nature of parallel lines
(1) Two straight lines are parallel with the same included angle. (2) The two straight lines are parallel and the internal dislocation angles are equal. (3) Two straight lines are parallel and complementary.
3. Determination of parallel lines
(1) At the same angle, two straight lines are parallel. (2) The internal dislocation angles are equal and the two straight lines are parallel.
(3) The internal angles on the same side are complementary and the two straight lines are parallel. (4) Two lines parallel to the same line are parallel.
4. Translation
Translation refers to the movement of a figure along a certain distance in a plane. This graphic movement is called graphic translation, or translation for short.
5. After translation, the corresponding line segments are parallel (or * * * lines) and equal, the corresponding angles are equal, and the line segments connected by the corresponding points are parallel and equal; Translation transformation does not change the shape, size and direction of graphics (
The two images are conformal before and after translation).
(1) The shape and size of the graph have not changed before and after translation, but the position has changed;
(2) After the graphic is translated, the line segments connected by the corresponding points are parallel and equal (or on the same straight line).
(3) Multiple translations are equivalent to one translation.
(4) The figure after multiple symmetry is equal to the figure after translation.
(5) Translation is determined by direction and distance.