Catalogue of the second volume of seventh grade mathematics
Chapter V Intersecting Lines and Parallel Lines
5. 1 intersection line
Observe and guess the illusion when looking at pictures.
5.2 Parallel lines and their determination
5.3 Properties of parallel lines
Using information technology to explore the positional relationship between two straight lines
5.4 Translation
Mathematical activities
summary
Review question 5
Chapter VI Real Numbers
6. 1 square root
6.2 cube root
6.3 real numbers
Reading and thinking. Why? 2 is not a rational number.
Digital activity
summary
Review question 6
Chapter VII Plane Cartesian Coordinate System
7. 1 plane rectangular coordinate system
Reading and thinking indicate geographical location with latitude and longitude.
7.2 Simple application of coordinate method
Mathematical activities
summary
Review question 7
Chapter VIII Binary Linear Equations
8. 1 binary linear equations
8.2 Eliminating and Solving Binary Linear Equations
8.3 Practical Problems and Binary Linear Equations
8.4 Solutions of ternary linear equations
Reading and thinking about the ancient and modern expressions and solutions of linear equations
Mathematical activities
summary
Review question 8
Chapter 9 Inequality and Unequal Groups
9. 1 inequality
Reading and thinking compare sizes with the difference method.
9.2 One-dimensional linear inequality
9.3 One-dimensional linear inequality system
Mathematical activities
summary
Review question 9
Chapter 10 Data Collection, Arrangement and Description
10. 1 statistical survey
Experiment and explore how many beans are in the bottle.
10.2 histogram
The application of information technology uses computers to draw statistical charts.
10.3 project learning talking about water saving from data
Mathematical activities
summary
Review questions 10
Index of some Chinese and English words
The seventh grade mathematics triangle knowledge induction.
First, understand the triangle.
1, triangle: a figure composed of three line segments that are not on the same straight line and connected end to end in turn.
2. The relationship between the three sides of a triangle: the sum of the two sides is greater than the third side; The difference between the two sides is smaller than the third side.
(It is known that three line segments can determine whether a triangle can be formed, and the value range of the third side can be found from two known straight lines. )
3. Is the sum of the interior angles of the triangle 180? ; The two acute angles of a right triangle are complementary.
Acute triangle (all three angles are acute)
4. Triangle is classified by angle. Right triangle (one angle is a right angle)
Obtuse triangle (one angle is obtuse)
5, the special segment of the triangle:
A) The midline of a triangle: the line segment connecting the vertex and the midpoint of the opposite side. The two triangles are divided into equal areas.
B) Angle bisector of triangle: the line segment from the intersection of the bisector of the inner angle and the opposite side to the vertex of the inner angle.
C) Height of triangle: the vertical line segment from the vertex to the opposite side. (Draw each triangle)
Second, congruent triangles:
1, congruent triangles: two triangles that can overlap.
2. The nature of congruent triangles: congruent triangles has equal sides and angles.
3. congruent triangles's judgment:
Judgment method
Internal capacity
abbreviate
together
Three sides correspond to the coincidence of two equal triangles.
Selective SelectiveServiceSystem
Corner edge
Two triangles with equal included angles are congruent.
Scandinavian airlines
Corner corner
The two corners of two triangles correspond to the sides of the two corners, and the two triangles are congruent.
American Statistical Society; usa standards institute
Aas congruence law
Two angles of two triangles correspond to the opposite sides of one angle, and the two triangles are congruent.
American Academy of Sciences (abbreviation)
Hypotenuse right angle edge
The hypotenuse corresponds to the congruence of two right-angled triangles with a right-angled side.
Baisheng
Note: three angles correspond to two equal triangles, and it is impossible to judge the congruence of two triangles; American Automobile Association
The diagonal lines of two sides are equal and one of the triangles cannot be judged to be congruent. Social Security Administration (social security administration)
4. congruent triangles's proof thinking;
deprive
next step
The judgment method used
Both sides have always been equal.
Find their included angle.
Scandinavian airlines
Find a third party
Selective SelectiveServiceSystem
These two angles are equal.
Find their edges
American Statistical Society; usa standards institute
Find the opposite side of one of the corners.
American Academy of Sciences (abbreviation)
There is an angle on one side.
Find another corner
ASA or AAS
Find the other side
Scandinavian airlines
5. The triangle is stable,
Third, make a triangle.
1, the three sides have been triangulated.
2. The angles between two sides and them are triangles.
3. Two corners have formed a triangle with their sides (the opposite sides of two corners and one corner have been transformed into this situation)
The hypotenuse and the right side form a right triangle.
Two related articles in the seventh grade mathematics volume of People's Education Press;
1. People's Education Edition Seventh Grade Mathematics Volume II Directory
2. The latest People's Education Edition, the first volume of the seventh grade mathematics catalogue
3. People's Education Edition Seventh Grade Mathematics Last Term Catalogue
4. The new Shanghai version of the seventh grade mathematics textbook catalogue.
5. Zhejiang Education Edition Seventh Grade Mathematics Volume I Catalogue