Plane graphics: rectangle, square, triangle, parallelogram, trapezoid and circle. Three-dimensional graphics: cuboid, cube, cylinder, cone.
Characteristics of rectangular square, calculation of perimeter and area of rectangular square.
Characteristics of parallelogram, calculation of parallelogram area.
The characteristics of triangle, the calculation of area and the derivation process of area calculation formula.
Derivation and calculation of trapezoid area calculation formula.
Characteristics of gardens, derivation and calculation of area calculation formula.
Formulas and calculations of characteristics, surface area and volume of cuboids. And the calculation of the side length.
The characteristics of cylinder, the calculation of surface area, bottom area, lateral area and volume and its formula derivation.
The characteristics of the cone, the cone only needs to calculate the volume.
Review the knowledge points of People's Education Edition (complete solution of teaching materials) for graphic geometry in primary schools
Space and graphics I. Comprehensive exercises
1. The "space and figure" in the primary school mathematics curriculum is only the knowledge in geometry (preliminary, simple, simple and acceptable to primary school students). Enrichment (geometry teaching content) has become one of the common trends in the reform of primary school mathematics textbooks in various countries.
3. What are the following teaching requirements about "Space and Graphics"? (Fill in the number of teaching requirements.
Table 7-2)
Table 7-2 Teaching Contents and Requirements of Space and Graphics
Teaching content teaching needs to understand graphics. B I measure the C D G graph and convert the E H graph and the position F J.
A. understand common graphics and their characteristics.
B. You can imagine the appearance of a graphic according to its name. Establish the concepts of length and angle, area and volume.
D know the measurement units of length and angle, area and volume, and establish a clear concept of their size. Understand translation, rotation and axial symmetry.
F Understanding the meanings of "up, down, left, right, front and back" and "east, south, west and north" can be used to describe the positional relationship of objects.
G. master the calculation formulas of perimeter, area and volume of common geometric shapes. Can draw 90 translation and rotation on square paper. Or a symmetrical pattern. I can use physical knowledge to reason, calculate and solve simple practical problems. The position of an object can be represented by several pairs.
6. What types of exercises about "space and graphics" generally include? Table 7-3 gives an example.
Table 7-3 Types of Space and Graphic Exercises
This paper is rectangular in shape.
Shape? Why?
What are the characteristics of rectangles? you
How did you know?
The relational parallelogram of a graph is an axisymmetric graph.
Shape? Why?
How many diagonals does the graph count n polygon have?
Calculate the length and angle of the problem. The sum of n internal angles of n polygons is
how many degree?
Calculation of the product of area and volume (volume) Find the inscribed circle with radius R.
/kloc-area of 0/2 polygon
Draw a picture, 5 cm long and 3 cm wide.
square
The operation problem of making model and bottom radius is
A cone 3 cm high and 4 cm high.
Measure and calculate the interior of the classroom.
superficial area
Other operational problems
Second, fill in the blanks
7. All figures can be regarded as * * * (points). A circle is a * * * circle whose distance from (a fixed point) is equal to (a fixed length). 9. "Preliminary understanding of the angle", the angle has the structure of (a vertex and two sides).
13. Confirm that rectangles and squares are special parallelograms, recall the definition of parallelograms, clarify the characteristics of parallelograms, and study rectangles and squares.
14. A triangle is a figure surrounded by three line segments, which is called a triangle.
When triangles are classified by angle, we should examine several triangles, check what angle each angle in the triangle is, count how many acute angles, right angles and obtuse angles there are in each triangle, and guide students to study the data in the statistical table and draw conclusions from it:
(1) Every triangle has a (sharp) angle;
(2) Each triangle has at least (two) (sharp) angles.
(3) Each triangle may or may not have (right angle or obtuse angle). If there is, there can only be one.
This paper studies how these triangles are classified and the similarities and differences of each type of triangle. Define an acute triangle, to be clear: which triangle belongs to depends on what angle (the largest angle) is in this triangle.
15, "triangle stability" refers to the characteristics of a triangle: if a triangle (the length of three sides) is given, then the triangle (shape and size) is completely determined.
16. What triangle does the shaded part in the picture below represent?
(1) acute triangle or obtuse triangle (2) isosceles right triangle ......
Graphic geometry knowledge points finishing primary school mathematical geometry error-prone knowledge points daquan children still remember?
Multiple integrals, derivatives of compound functions, derivatives of implicit functions, and some geometric applications, such as spatial straight lines, solving plane equations, and series, are all key points.