Su Ke 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
The seventh grade mathematics triangle review content
1, a figure composed of three line segments that are not on the same line end to end is called a triangle.
2, the nature of the triangle
1) The sum of any two sides of the triangle is greater than the third side (so the difference between the two sides of the triangle must be less than the third side).
2) The sum of the three internal angles of the triangle is equal to 180 degrees (at least one angle in the triangle is greater than or equal to 60 degrees, and at least one angle is less than or equal to 60 degrees) (at least two acute angles in the three internal angles of the triangle).
3) The two acute angles of a right triangle are complementary.
4) One external angle of a triangle is equal to the sum of two non-adjacent internal angles (one external angle of a triangle is greater than any non-adjacent internal angle) 5) The bisector of the top angle, the midline of the bottom edge and the height of the bottom edge of an isosceles triangle coincide, that is, the three lines are one.
6) The three bisectors of a triangle intersect at one point, the straight lines of three high lines intersect at one point, and the three middle lines intersect at one point.
7) The sum of the outer angles of a triangle is 360?
8) The areas of triangles with equal bases and equal heights are equal.
9) Any midline of a triangle divides the triangle into two triangles with equal areas.
3. Classification of triangles
1) is divided into ① equilateral triangle ② isosceles triangle (including isosceles right triangle and equilateral triangle).
2) According to the angle, it is divided into acute triangle, right triangle and obtuse triangle (acute triangle and obtuse triangle can be collectively called oblique triangle).
4. Definition of triangle 1) Height of triangle: In a triangle, draw a vertical line from a vertex to the line where the opposite side is located, and the line segment between the vertex and the vertical foot is called the height line of triangle, which is called height for short. The three heights of a triangle intersect at a point, which is called the center of the triangle. The distance from the vertical center to the three vertices of the triangle is equal.
2) Angle bisector of a triangle: the bisector of an inner angle of a triangle intersects its opposite side, and the line segment between the vertex and the intersection of this angle is called the angle bisector of the triangle. (Also called the bisector of the inner corner of a triangle. The three bisectors of a triangle are all inside the triangle and intersect at one point, which is called the heart of the triangle. The distance from the center of a triangle to three sides is equal.
3) Triangle midline: In a triangle, the line segment connecting the vertex and the midpoint of its opposite side is called the triangle midline. The three center lines of a triangle are inside the triangle and intersect at one point, which is called the center of gravity of the triangle. The area of two triangles divided by the center line of each triangle is equal.
Articles related to the second volume of mathematics in the seventh grade of Su Ke Edition;
1. Knowledge points in the second volume of seventh grade mathematics of Su Ke Edition
2. Su Ke Edition Seventh Grade Mathematics Teaching Plan
3. The seventh grade mathematics teaching plan of Jiangsu Education Edition
4. Jiangsu Education Edition Seventh Grade Mathematics Teaching Plan
5. Su Ke Edition Seventh Grade Mathematics Preview Group Plan