CN85200559U

CN85200559U - Manifold demonstration model used for solid geometry

Info

Publication number: CN85200559U
Application number: CN 85200559
Authority: CN
Inventors: 吴宁生
Original assignee: Individual
Current assignee: Individual
Priority date: 1985-04-09
Filing date: 1985-04-09
Publication date: 1986-01-29

Abstract

The utility model relates to a manifold demonstration model used for solid geometry, which is the teaching model for the mathematics (the solid geometry). The manifold demonstration model used for solid geometry can solve the problems that because the basic concepts and the contents of the sections of the 'straight line and plane' and ' polyhedral angle and regular polyhedron ' in the schoolbook are abstract, the students are lack of the space concept, and on teaching appliance can be supplied to observe, so the two sections become the difficulties of the teaching. The manifold demonstration model used for solid geometry provides a small observable space, the concepts and the pictures in the schoolbook are changed into the space models through insertion pieces put into the small observable space and wires fixed in the small observable space, which causes the students to correctly understand and grasp the basic concepts and the contents through observation and analysis. The teacher lets the students change the requirement of the teacher or the title or the plan view into the space model by themselves, which can bring up the logical thinking and the space imaginative power of the students.

Description

Manifold demonstration model used for solid geometry

" use the solid geometry demonstrating model " is mathematics (solid geometry) teaching mode more.

The solid geometry course is the basic subject of character, the technique of painting, calculating and the application thereof of the space diagram that constitutes of research space point, line, surface.In the solid geometry teaching of middle school, particularly " straight line and plane ", " polyhedral angle and polyhedron " part, because of key concept and content abstract, the student lacks space, is difficult to understand (or on blackboard) drawn in the book planimetric map center line and the relation of the mutual alignment, space between line, line and plane and plane and the plane.Lack the teaching aid that is suitable for again and supply to observe, so become the difficult point of teaching always.The teacher is representation space straight line and plane, often replaces with bamboo pin, cardboard.Just powerless for more complicated slightly figure.With reference to relevant regulations, the content of middle school solid geometry textbook and the teaching requirement of teaching reference book of education outline, manufactured and designed " using the solid geometry demonstrating model " application utility model patent of invention more.

The objective of the invention is to key concept, definition, theorem, teacher's the requirement and the word contents such as the meaning of exercise question are attempted to change into concrete space multistory figure with the plane.Make the student can its cathetus of Direct observation or (and) relative position relation, polyhedral angle and polyhedron etc. between the plane, thereby deepen understanding, grasp to rudimentary knowledge, cultivate logical thinking and space imagination, set up space, strengthen analysis the meaning of the question, solve a problem and knowledge figure ability.

The utility model consists of the following components: the 1. regular cube capsule made of colourless transparent material.An openable lid is arranged, so that the inserted sheet of difformity (square, rectangle, triangle, quadrilateral) is put into box.On six walls of box corresponding hole is arranged, be used for threading.On three adjacent walls of box and three adjacent ribs coordinate scale is arranged, represent X, Y, three coordinate axis of Z and coordinate plane.Capsule has constituted an observable space cartesian coordinate system.The inserted sheet of putting into wherein is considered as space plane and straight line with the line that passes capsule, in box, can constitutes a space multistory figure with several threading (or several inserted sheet).With such method, can be with relevant notion and the content in the teaching material, exercise question is attempted to change into solid figure analysis, observes, is studied with the plane.2. the positive triangular pyramid capsule made of colourless transparent material has a hole on the top.Be an openable end below, groove is arranged above, all porose at three limit mid points with the position relative with the summit.Put into the triangle inserted sheet or the threading that acquire a special sense, be used for observing and the relevant notion of explaining polyhedral angle, regular polygon and pyramid volume, surface area computing method etc.In addition, the method that covers threading that is used in the regular cube capsule can be demonstrated the condition of determining the plane, also can demonstrate out the figure in the different plane geometry.With at the bottom of the positive triangular pyramid and two rectangle inserted sheets can demonstrate " dihedral " notion, and can measure its angle value with triangle inserted sheet with angle index.

The present utility model, these are most important, the most difficult, the most basic to have changed the relevant straight line of solid geometry, plane, regular polygon, again in the teaching of the most abstract content of courses, there is not teaching aid to lean on several bamboo pins, hard papers to gesticulate, against the desk angle, the situation of wall explanation.Can constitute a space multistory figure, allow observation of students, analysis, and contrast with planimetric map.Both deepened understanding, and can set up logical thinking ability and space imagination better, more accurately, quickly again, and analyzed and deal with problems, learnt solid geometry well the rudimentary knowledge of being learned.

Accompanying drawing a is the synoptic diagram of regular cube capsule.The method that adopts partial cutaway to show is triangle inserted sheet and a threading of putting into box in order to show, and X, Y, Z coordinate surface that coordinate scale is arranged.

Accompanying drawing b is positive triangular pyramid capsule synoptic diagram.Special triangle inserted sheet (triangle of being made up of side height, height and bottom surface apothem) and threading are arranged in the box.Groove is arranged on the bottom surface.

How accompanying drawing c represents the notion with demonstration " dihedral " at the bottom of two rectangle inserted sheets and the positive triangular pyramid.

This cover " multiplex solid geometry demonstration model " can adopt the manufacturing of injection moulding method, and inserted sheet can be made with process for stamping.

Claims

1, a kind of solid geometry demonstrating model is characterized in that by two kinds of basic models-a kind of be the cube capsule; A kind of is that pyramid-shaped capsule and one group of inserted sheet are formed.

2, cube capsule as claimed in claim 1 is characterized in that being made of transparent material, and loam cake can be opened.

3, cube capsule as claimed in claim 2 is characterized in that on six faces of capsule corresponding hole being arranged.

4,, it is characterized in that on three adjacent ribs and three adjacent faces the coordinate scale being arranged as claim 1 and 2 described cube capsules.

5, pyramid-shaped capsule as claimed in claim 1 is characterized in that being made of transparent material, and the end can open, and has groove the end of on.

6, as claim 1 and 5 described pyramid-shaped capsules, it is characterized in that the top of capsule is porose, the midpoint on the end and corresponding section, top and each bar limit is also all porose.

7, inserted sheet as claimed in claim 1 is characterized in that square is arranged, rectangle, quadrilateral and different shapes such as triangle.