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Textbooks play an important role in the teaching of 8th grade mathematics. What knowledge is included in the catalog? I have compiled a catalogue of mathematics for the eighth grade of Beijing Normal University, I hope it will be helpful to you!
Chapter 1 The Proof of the Triangle.
1.Isosceles triangle.
2.Right-angled triangle.
3.The perpendicular bisector of the line segment.
4.Angular bisector.
Retrospective and reflective.
Review questions. Chapter 2 Unary Inequalities and Groups of Unary Inequalities.
1.Unequal relationships.
2.The basic properties of inequalities.
3.The set of solutions to inequalities.
4.Unary one-time inequality.
5.Unary primary inequality and primary function.
6.A group of unary inequalities.
Retrospective and reflective.
Review questions. Chapter 3 Translation and Rotation of Figures.
1.Translation of the graph.
2.Rotation of the graph.
3.Centrally symmetrical.
4.Simple pattern design.
Retrospective and reflective.
Review questions. Chapter 4 Factorization.
1.Factorization.
2.Mention the common factor method.
3.Formula method.
Retrospective and reflective.
Review questions. Chapter 5 Fractions and Fractional Equations.
1.Recognize fractions.
2.Multiplication and division of fractions.
3.Addition and subtraction of fractions.
4.Fractional equations.
Retrospective and reflective.
Review questions. Chapter 6 Parallelograms.
1.The nature of the parallelogram.
2.Determination of parallelograms.
3.The median line of the triangle.
4.The sum of the inner angles of the polygon is the sum of the outer angles.
Retrospective and reflective.
Review questions. Synthesis and Practice.
A "one-time model" in life
Synthesis and Practice.
Mosaic of flat figures.
Total review. Grade 8 Mathematics Knowledge Points: Unary Inequalities and Unary Inequalities Groups.
1. Unequal relationship.
Definition: In general, an equation connected by the symbol "<" or "or" " is called an inequality.
Difference from equations: equations represent equal relations; Inequalities denote unequal relations.
Note: Accurately "translate" inequalities, and correctly understand mathematical terms such as "non-negative", "not less than", "not greater than", "at most", "at least", etc.
2. The basic nature of inequalities.
Both sides of the inequality add (or subtract) the same integer, and the direction of the inequality sign does not change, i.e., as.
If a>b, then a c>b c;
Both sides of the inequality are multiplied (or divided) by the same positive number, and the direction of the inequality sign does not change, i.e. if a>b, c>0, then ac>bc (or);
Both sides of the inequality are multiplied (or divided) by the same negative number, and the direction of the inequality sign changes, i.e. if a>b, c<0, then ac
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Page 10 Exercise.
1.Solutions (1) and (4) can be taken as the trilateral length of a right triangle; (2) and (3) cannot be used as the length of the three sides of a right triangle.
Reason: (1) 9 +12 =15 and (4) 15 +36 =39 both satisfy the trilateral relationship of right triangles;
2) 12 +18 ≠22 and (3) 12 +35 ≠36 do not satisfy the trilateral relationship of right triangles.
2.Solution: There are four of them, and the abe, bef, bcf, and def in the diagram are all right-angled triangles.
The verification that BEF is a right triangle is as follows: from the Pythagorean theorem, we get be = 20, EF = 5, BF = BC + CF = 16 + 9 = 25, i.e. be + EF = BFSo BEF is a right-angled three-carry-on angle.
The other three triangular intrigues in a, c, and d are all right angles.
p. 29. <>
The answer is D (I'm pretty sure oh, we did).
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